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All Textbook Solutions for Intermediate Algebra

In the following exercises, solve. 442. 4|x1|+2=10 In the following exercises, solve. 443. 3|x4|+2=11 In the following exercises, solve. 444. 3|4x5|4=11 In the following exercises, solve. 445. 3|x+2|5=4 In the following exercises, solve. 446. 2|x3|+8=4 In the following exercises, solve. 447. 3|x4|+4=5 In the following exercises, solve. 448. |34x3|+7=2 In the following exercises, solve. 449. |35x2|+5=2 In the following exercises, solve. 450. |12x+5|+4=1 In the following exercises, solve. 451. |14x+3|+3=1 In the following exercises, solve. 452. |3x2|=|2x3|In the following exercises, solve. 453. |4x+3|=|2x+1|In the following exercises, solve. 454. |6x5|=|2x+3|In the following exercises, solve. 455.|6x|=|32x|In the following exercises, solve each inequality. Graph the solution and write the solution in interval notation. 456.|x|5 In the following exercises, solve each inequality. Graph the solution and write the solution in interval notation. 457. |x|1 In the following exercises, solve each inequality. Graph the solution and write the solution in interval notation. 458. |x|8 In the following exercises, solve each inequality. Graph the solution and write the solution in interval notation. 459. |x|3 In the following exercises, solve each inequality. Graph the solution and write the solution in interval notation. 460. |3x3|6 In the following exercises, solve each inequality. Graph the solution and write the solution in interval notation. 461. |2x5|3 In the following exercises, solve each inequality. Graph the solution and write the solution in interval notation. 462. |2x+3|+54 In the following exercises, solve each inequality. Graph the solution and write the solution in interval notation. 463. | 3x7 |+31 In the following exercises, solve each inequality. Graph the solution and write the solution in interval notation. 464. |4x3|1 In the following exercises, solve each inequality. Graph the solution and write the solution in interval notation. 465. |6x5|7 In the following exercises, solve each inequality. Graph the solution and write the solution in interval notation. 466. |x4|1 In the following exercises, solve each inequality. Graph the solution and write the solution in interval notation. 467. |5x+1|2 In the following exercises, solve each inequality. Graph the solution and write the solution in interval notation. 468. |x|3 In the following exercises, solve each inequality. Graph the solution and write the solution in interval notation. 469. |x|6 In the following exercises, solve each inequality. Graph the solution and write the solution in interval notation. 470. |x|2 In the following exercises, solve each inequality. Graph the solution and write the solution in interval notation. 471. |x|5 In the following exercises, solve each inequality. Graph the solution and write the solution in interval notation. 472. |3x8|1 In the following exercises, solve each inequality. Graph the solution and write the solution in interval notation. 473. |x5|2 In the following exercises, solve each inequality. Graph the solution and write the solution in interval notation. 474. |3x2|4 In the following exercises, solve each inequality. Graph the solution and write the solution in interval notation. 475. |2x1|5 In the following exercises, solve each inequality. Graph the solution and write the solution in interval notation. 476. |x+3|5 In the following exercises, solve each inequality. Graph the solution and write the solution in interval notation. 477. |x7|1 In the following exercises, solve each inequality. Graph the solution and write the solution in interval notation. 478. 3|x|+41 In the following exercises, solve each inequality. Graph the solution and write the solution in interval notation. 479. 5|x|+61 In the following exercises, solve. For each inequality, also graph the solution and write the solution in interval notation. 480. 2|x+6|+4=8 In the following exercises, solve. For each inequality, also graph the solution and write the solution in interval notation. 481. |6x5|=|2x+3|In the following exercises, solve. For each inequality, also graph the solution and write the solution in interval notation. 482. |3x4|2 In the following exercises, solve. For each inequality, also graph the solution and write the solution in interval notation. 483. |2x5|+2=3 In the following exercises, solve. For each inequality, also graph the solution and write the solution in interval notation. 484. |4x3|5 In the following exercises, solve. For each inequality, also graph the solution and write the solution in interval notation. 485. |3x+1|3=7 In the following exercises, solve. For each inequality, also graph the solution and write the solution in interval notation. 486. |7x+2|+84 the following exercises, solve. For each inequality, also graph the solution and write the solution in interval notation. 487. 5|2x1|3=7 In the following exercises, solve. For each inequality, also graph the solution and write the solution in interval notation. 488. |8x|=|43x|In the following exercises, solve. For each inequality, also graph the solution and write the solution in interval notation. 489. |x7|3 In the following exercises, solve. 490. A chicken farm ideally produces 200,000 eggs per day. But this total can vary by as much as 25,000 eggs. What is the maximum and minimum expected production at the farm?In the following exercises, solve. 491. An organic juice bottler ideally produces 215,000 bottle per day. But this total can vary by as much as 7,500 bottles. What is the maximum and minimum expected production at the bottling company?In the following exercises, solve. 492. In order to insure compliance with the law, Miguel routinely overshoots the weight of his tortillas by 0.5 gram. He just received a report that told him that he could be losing as much as $100,000 per year using this practice. He now plans to buy new equipment that guarantees the thickness of the tortilla within 0.005 inches. If the ideal thickness of the tortilla is 0.04 inches, what thickness of tortillas will be guaranteed?In the following exercises, solve. 493. At Lilly’s Bakery, the ideal weight of a loaf of bread is 24 ounces. By law, the actual weight can vary from the ideal by 1.5 ounces. What range of weight will be acceptable to the inspector without causing the bakery being fined?Write a graphical description of the absolute value of a number.In your own words, explain how to solve theabsolute value inequality, |3x2|4 .In the following exercises, determine whether each number is a solution to the equation. 496. 10x1=5x,x=15 In the following exercises, determine whether each number is a solution to the equation. 497. 12n+5=8n,n=54 In the following exercises, solve each linear equation. 498. 6(x+6)=24 In the following exercises, solve each linear equation. 499. (s+4)=18 In the following exercises, solve each linear equation. 500. 233(y7)=8 In the following exercises, solve each linear equation. 501. 13(6m+21)=m7 In the following exercises, solve each linear equation. 502. 4(3.5y+0.25)=365 In the following exercises, solve each linear equation. 503. 0.25(q8)=0.1(q+7)In the following exercises, solve each linear equation. 504. 8(r2)=6(r+10)In the following exercises, solve each linear equation. 505. 5+7(25x)=2(9x+1)(13x57)In the following exercises, solve each linear equation.(9n+5)(3n+7)=20(4n2)In the following exercises, solve each linear equation. 507. 2[16+5(8k6)]=8(34k)32 In the following exercises, classify each equation as a conditional equation, an identity, or a contradiction and then state the solution. 508. 17y3(42y)=11(y1)+12y1 In the following exercises, classify each equation as a conditional equation, an identity, or a contradiction and then state the solution. 509. 9u+32=15(u4)3(2u+21)In the following exercises, classify each equation as a conditional equation, an identity, or a contradiction and then state the solution. 510. 8(7m+4)=6(8m+9)In the following exercises, solve each equation. 511. 25n110=710 In the following exercises, solve each equation. 512. 34a13=12a+56 In the following exercises, solve each equation. 513. 12(k+3)=13(k+16)In the following exercises, solve each equation. 514. 5y13+4=8y+46 In the following exercises, solve each equation. 515. 0.8x0.3=0.7x+0.2 In the following exercises, solve each equation. 516. 0.10d+0.05(d4)=2.05 In the following exercises, solve using the problem solving strategy for word problems. 517. Three-fourths of the people at a concert are children. If there are 87 children, what is the total number of people at the concert?In the following exercises, solve using the problem solving strategy for word problems. 518. There are nine saxophone players in the band. The number of saxophone players is one less than twice the number of tuba players. Find the number of tuba players.In the following exercises, solve each number word problem. 519. The sum of a number and three is forty-one. Find the number.In the following exercises, solve each number word problem. 520. One number is nine less than another. Their sum is negative twenty-seven. Find the numbers.In the following exercises, solve each number word problem. 521. One number is two more than four times another. Their sum is negative thirteen. Find the numbers.In the following exercises, solve each number word problem. 522. The sum of two consecutive integers is 135 . Find the numbers.In the following exercises, solve each number word problem. 523. Find three consecutive even integers whose sum is 234.In the following exercises, solve each number word problem. 524. Find three consecutive odd integers whose sum is 51.In the following exercises, solve each number word problem. 525. Koji has $5,502 in his savings account. This is $30 less than six times the amount in his checking account. How much money does Koji have in his checking account?In the following exercises, translate and solve. 526. What number is 67% of 250?In the following exercises, translate and solve. 527. 12.5% of what number is 20?In the following exercises, translate and solve. 528. What percent of 125 is 150?In the following exercises, solve. 529. The bill for Dino’s lunch was $19.45. He wanted to leave 20% of the total bill as a tip. How much should the tip be?In the following exercises, solve. 530. Dolores bought a crib on sale for $350. The sale price was 40% of the original price. What was the original price of the crib?In the following exercises, solve. 531. Jaden earns $2,680 per month. He pays $938 a month for rent. What percent of his monthly pay goes to rent?In the following exercises, solve. Angel received a raise in his annual salary from $55,400 to $56,785. Find the percent change.In the following exercises, solve. Rowenas monthly gasoline bill dropped from $83.75 last month to $56.95 this month. Find the percent change.In the following exercises, solve. Emmett bought a pair of shoes on sale at 40% off from an original price of $138. Find (a) the amount of discount and (b) the sale price.In the following exercises, solve. Lacey bought a pair of boots on sale for $95. The original price of the boots was $200. Find (a) the amount of discount and (b) the discount rate. (Round to the nearest tenth of a percent, if needed.)In the following exercises, solve. Nga and Lauren bought a chest at a flea market for $50. They re-finished it and then added a 350% mark-up. Find (a) the amount of the mark-up and (b) the list price.In the following exercises, solve. Winston deposited $3,294 in a bank account with interest rate 2.6% How much interest was earned in five years?In the following exercises, solve. Moira borrowed $4,500 from her grandfather to pay for her first year of college. Three years later, she repaid the $4,500 plus $243 interest. What was the rate of interest?In the following exercises, solve. Jaimes refrigerator loan statement said he would pay $1,026 in interest for a four-year loan at 13.5%. How much did Jaime borrow to buy the refrigerator?In the following exercises, solve the formula for the specified variable. 540. Solve the formula V=LWH for L.In the following exercises, solve the formula for the specified variable. 541. Solve the formula A=12d1d2 for d2 .In the following exercises, solve the formula for the specified variable. 542. Solve the formula h=48t+12at2 for t.In the following exercises, solve the formula for the specified variable. 543. Solve the formula 4x3y=12 for y.In the following exercises, solve using a geometry formula. 544. What is the height of a triangle with area 67.5 square meters and base 9 meters?In the following exercises, solve using a geometry formula. 545. The measure of the smallest angle in a right triangle is 45° less than the measure of the next larger angle. Find the measures of all three angles.In the following exercises, solve using a geometry formula. 546. The perimeter of a triangle is 97 feet. One side of the triangle is eleven feet more than the smallest side. The third side is six feet more than twice the smallest side. Find the lengths of all sides.In the following exercises, solve using a geometry formula. 547. Find the length of the hypotenuse.In the following exercises, solve using a geometry formula. 548. Find the length of the missing side. Round to the nearest tenth, if necessary.In the following exercises, solve using a geometry formula. 549. Sergio needs to attach a wire to hold the antenna to the roof of his house, as shown in the figure. The antenna is eight feet tall and Sergio has 10 feet of wire. How far from the base of the antenna can he attach the wire? Approximate to the nearest tenth, if necessary.In the following exercises, solve using a geometry formula. 550. Seong is building shelving in his garage. The shelves are 36 inches wide and 15 inches tall. He wants to put a diagonal brace across the back to stabilize the shelves, as shown. How long should the brace be?In the following exercises, solve using a geometry formula. 551. The length of a rectangle is 12 cm more than the width. The perimeter is 74 cm. Find the length and the width.In the following exercises, solve using a geometry formula. 552. The width of a rectangle is three more than twice the length. The perimeter is 96 inches. Find the length and the width.In the following exercises, solve using a geometry formula. 553. The perimeter of a triangle is 35 feet. One side of the triangle is five feet longer than the second side. The third side is three feet longer than the second side. Find the length of each side.In the following exercises, solve. 554. Paulette has $140 in $5 and $10 bills. The number of $10 bills is one less than twice the number of $5 bills. How many of each does she have?In the following exercises, solve. 555. Lenny has $3.69 in pennies, dimes, and quarters. The number of pennies is three more than the number of dimes. The number of quarters is twice the number of dimes. How many of each coin does he have?In the following exercises, solve each ticket or stamp word problem. 556. Tickets for a basketball game cost $2 for students and $5 for adults. The number of students was three less than 10 times the number of adults. The total amount of money from ticket sales was $619. How many of each ticket were sold?In the following exercises, solve each ticket or stamp word problem. 557. 125 tickets were sold for the jazz band concert for a total of $1,022. Student tickets cost $6 each and general admission tickets cost $10 each. How many of each kind of ticket were sold?In the following exercises, solve each ticket or stamp word problem. 558. Yumi spent $34.15 buying stamps. The number of $0.56 stamps she bought was 10 less than four times the number of $0.41 stamps. How many of each did she buy?In the following exercises, solve. 559. Marquese is making 10 pounds of trail mix from raisins and nuts. Raisins cost $3.45 per pound and nuts cost $7.95 per pound. How many pounds of raisins and how many pounds of nuts should Marquese use for the trail mix to cost him $6.96 per pound?In the following exercises, solve. 560. Amber wants to put tiles on the backsplash of her kitchen counters. She will need 36 square feet of tile. She will use basic tiles that cost $8 per square foot and decorator tiles that cost $20 per square foot. How many square feet of each tile should she use so that the overall cost of the backsplash will be $10 per square foot?In the following exercises, solve. 561. Enrique borrowed $23,500 to buy a car. He pays his uncle 2% interest on the $4,500 he borrowed from him, and he pays the bank 11.5% interest on the rest. What average interest rate does he pay on the total $23,500? (Round your answer to the nearest tenth of a percent.)In the following exercises, solve. When Gabe drives from Sacramento to Redding it takes him 2.2 hours. It takes Elsa two hours to drive the same distance. Elsas speed is seven miles per hour faster than Gabes speed. Find Gabes speed and Elsas speed.In the following exercises, solve. Louellen and Tracy met at a restaurant on the road between Chicago and Nashville. Louellen had left Chicago and drove 3.2 hours towards Nashville. Tracy had left Nashville and drove 4 hours towards Chicago, at a speed one mile per hour faster than Louellens speed. The distance between Chicago and Nashville is 472 miles. Find Louellens speed and Tracys speed.In the following exercises, solve. Two buses leave Amarillo at the same time. The Albuquerque bus heads west on the 1-40 at a speed of 72 miles per hour, and the Oklahoma City bus heads east on the 1-40 at a speed of 78 miles per hour. How many hours will it take them to be 375 miles apart?In the following exercises, solve. Kyle rowed his boat upstream for 50 minutes. It took him 30 minutes to row back downstream. His speed going upstream is two miles per hour slower than his speed going downstream. Find Kyles upstream and downstream speeds.In the following exercises, solve. At 6:30, Devon left her house and rode her bike on the flat road until 7:30. Then she started riding uphill and rode until 8:00. She rode a total of 15 miles. Her speed on the fiat road was three miles per hour faster than her speed going uphill. Find Devons speed on the flat road and riding uphill.In the following exercises, solve. Anthony drove from New York City to Baltimore, which is a distance of 192 miles. He left at 3:45 and had heavy traffic until 5:30. Traffic was light for the rest of the drive, and he arrived at 7:30. His speed in light traffic was four miles per hour more than device his speed in heavy traffic. Find Anthonys driving speed in heavy traffic and light traffic.In the following exercises, graph the inequality on the number line and write in interval notation. 568. x1 In the following exercises, graph the inequality on the number line and write in interval notation. 569. x2.5 In the following exercises, graph the inequality on the number line and write in interval notation. 570. x54 In the following exercises, graph the inequality on the number line and write in interval notation. 571. x2 In the following exercises, graph the inequality on the number line and write in interval notation.2x0 In the following exercises, graph the inequality on the number line and write in interval notation.5x3 In the following exercises, graph the inequality on the number line and write in interval notation. 574. 0x3.5 In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 575. n1223 In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 576. a+23712 In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 577. 9x54 In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 578. q224 In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 579. 6p15p30 In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 580. 9h7(h1)4h23 In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 581. 5n15(4n)10(n6)+10n In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 582. 38a112a512a+34 In the following exercises, translate and solve. Then write the solution in interval notation and graph on the number line. 583. Five more than z is at most 19.In the following exercises, translate and solve. Then write the solution in interval notation and graph on the number line. 584. Three less than c is at least 360.In the following exercises, translate and solve. Then write the solution in interval notation and graph on the number line. 585. Nine times n exceeds 42.In the following exercises, translate and solve. Then write the solution in interval notation and graph on the number line. 586. Negative two times a is no more than eight.In the following exercises, solve. 587. Julianne has a weekly food budget of $231 for her family. If she plans to budget the same amount for each of the seven days of the week, what is the maximum amount she can spend on food each day?In the following exercises, solve. 588. Rogelio paints watercolors. He got a $100 gift card to the art supply store and wants to use it to buy 1216 canvases. Each canvas costs $10.99. What is the maximum number of canvases he can buy with his gift card?In the following exercises, solve. 589. Briana has been offered a sales job in another city. The offer was for $42,500 plus 8% of her total sales. In order to make it worth the move, Briana needs to have an annual salary of at least $66,500. What would her total sales need to be for her to move?In the following exercises, solve. 590. Renee’s car costs her $195 per month plus $0.09 per mile. How many miles can Renee drive so that her monthly car expenses are no more than $250?In the following exercises, solve. 591. Costa is an accountant. During tax season, he charges $125 to do a simple tax return. His expenses for buying software, renting an office, and advertising are $6,000. How many tax returns must he do if he wants to make a profit of at least $8,000?In the following exercises, solve. 592. Jenna is planning a five-day resort vacation with three of her friends. It will cost her $279 for airfare, $300 for food and entertainment, and $65 per day for her share of the hotel. She has $550 saved towards her vacation and can earn $25 per hour as an assistant in her uncle’s photography studio. How many hours must she work in order to have enough money for her vacation?In each of the following exercises, solve each inequality, graph the solution, and write the solution in interval notation. 593. x5 and x3 In each of the following exercises, solve each inequality, graph the solution, and write the solution in interval notation. 594. 4x24 and 7x18 In each of the following exercises, solve each inequality, graph the solution, and write the solution in interval notation. 595. 5(3x2)5 and 4(x+2)3 In each of the following exercises, solve each inequality, graph the solution, and write the solution in interval notation. 596. 34(x8)3 and 15(x5)3 In each of the following exercises, solve each inequality, graph the solution, and write the solution in interval notation. 597. 34x52 and 3(x+1)6 In each of the following exercises, solve each inequality, graph the solution, and write the solution in interval notation. 598. 54x17 In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 599. 52x1 or 6+3x4 In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 600. 3(2x3)5 or 4x13 In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 601. 34x24 or 4(2x)0 In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 602. 2(x+3)0 or 3(x+4)6 In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 603. 12x34 or 13(x6)2 In the following exercises, solve. 604. Liam is playing a number game with his sister Audry. Liam is thinking of a number and wants Audry to guess it. Five more than three times her number is between 2 and 32. Write a compound inequality that shows the range of numbers that Liam might be thinking of.In the following exercises, solve. 605. Elouise is creating a rectangular garden in her back yard. The length of the garden is 12 feet. The perimeter of the garden must be at least 36 feet and no more than 48 feet. Use a compound inequality to find the range of values for the width of the garden.In the following exercises, solve. 606. |x|=8 In the following exercises, solve. 607. |y|=14 In the following exercises, solve. 608. |z|=0 In the following exercises, solve. 609. |3x4|+5=7 In the following exercises, solve.4| x1 |+2=10 In the following exercises, solve. 611. 2|x3|+8=4 In the following exercises, solve. 612. |12x+5|+4=1 In the following exercises, solve. 613. |6x5|=|2x+3|In the following exercises, solve each inequality. Graph the solution and write the solution in interval line. 614. |x|8 In the following exercises, solve each inequality. Graph the solution and write the solution in interval line. 615. |2x5|3 In the following exercises, solve each inequality. Graph the solution and write the solution in interval line. 616. |6x5|7 In the following exercises, solve each inequality. Graph the solution and write the solution in interval line. 617. |5x+1|2 In the following exercises, solve. Graph the solution and write the solution in interval line. 618. |x|6 In the following exercises, solve. Graph the solution and write the solution in interval line. 619. |x|2 In the following exercises, solve. Graph the solution and write the solution in interval line. 620. |x5|2 In the following exercises, solve. Graph the solution and write the solution in interval line. 621. |x7|1 In the following exercises, solve. Graph the solution and write the solution in interval line. 622. 3|x|+41 In the following exercises, solve. 623. A craft beer brewer needs 215,000 bottle per day. But this total can vary by as much as 5,000 bottles. What is the maximum and minimum expected usage at the bottling company?In the following exercises, solve. 624. At Fancy Grocery, the ideal weight of a loaf of bread is 16 ounces. By law, the actual weight can vary from the ideal by 1.5 ounces. What range of weight will be acceptable to the inspector without causing the bakery being fined?In the following exercises, solve each equation. 625. 5(2x+1)=45 In the following exercises, solve each equation. 626. 14(12m+28)=6+2(3m+1)In the following exercises, solve each equation. 627. 8(3a+5)7(4a3)=203a In the following exercises, solve each equation. 628. 0.1d+0.25d(d+8)=4.1 In the following exercises, solve each equation. 629. 14n3(4n+5)=9+2(n8)In the following exercises, solve each equation. 630. 3(3u+2)+4[68(u1)]=3(u2)In the following exercises, solve each equation. 631. 34x23=12x+56 In the following exercises, solve each equation. 632. |3x4|=8 In the following exercises, solve each equation. 633. |2x1|=|4x+3|In the following exercises, solve each equation. 634. Solve the formula x+2y=5 for y.In the following exercises, graph the inequality on the number line and write in interval notation. 635. x3.5 In the following exercises, graph the inequality on the number line and write in interval notation. 636. x114 In the following exercises, graph the inequality on the number line and write in interval notation. 637. 2x5 In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 638. 8k5k120 In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 639. 3c10(c2)5c+16 In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 640. 34x52 and 3(x+1)6 In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 641. 3(2x3)5 or 4x13 In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 642. 12x34 or 13(x6)2 In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 643. |4x3|5 In the following exercises, translate to an equation or inequality and solve. 644. Four less than twice x is 16.In the following exercises, translate to an equation or inequality and solve. 645. Find the length of the missing side.In the following exercises, translate to an equation or inequality and solve. 646. One number is four more than twice another. Their sum is 47 . Find the numbers.In the following exercises, translate to an equation or inequality and solve. 647. The sum of two consecutive odd integers is 112 . Find the numbers.In the following exercises, translate to an equation or inequality and solve. 648. Marcus bought a television on sale for $626.50. The original price of the television was $895. Find (a) the amount of discount and (b) the discount rate.In the following exercises, translate to an equation or inequality and solve. 649. Bonita has $2.95 in dimes and quarters in her pocket. If she has five more dimes than quarters, how many of each coin does she have?In the following exercises, translate to an equation or inequality and solve. 650. Kim is making eight gallons of punch from fruit juice and soda. The fruit juice costs $6.04 per gallon and the soda costs $4.28 per gallon. How much fruit juice and how much soda should she use so that the punch costs $5.71 per gallon?In the following exercises, translate to an equation or inequality and solve. 651. The measure of one angle of a triangle is twice the measure of the smallest angle. The measure of the third angle is three times the measure of the smallest angle. Find the measures of all three angles.In the following exercises, translate to an equation or inequality and solve. 652. The length of a rectangle is five feet more than four times the width. The perimeter is 60 feet. Find the dimensions of the rectangle.In the following exercises, translate to an equation or inequality and solve. 653. Two planes leave Dallas at the same time. One heads east at a speed of 428 miles per hour. The other plane heads west at a speed of 382 miles per hour. How many hours will it take them to be 2,025 miles apart?In the following exercises, translate to an equation or inequality and solve. 654. Leon drove from his house in Cincinnati to his sister’s house in Cleveland, a distance of 252 miles. It took him 412 hours. For the first half hour, he had heavy traffic, and the rest of the time his speed was five miles per hour less than twice his speed in heavy traffic. What was his speed in heavy traffic?In the following exercises, translate to an equation or inequality and solve. 655. Sara has a budget of $1,000 for costumes for the 18 members of her musical theater group. What is the maximum she can spend for each costume?Plot each point in a rectangular coordinate system and identify the quadrant in which the point is located: (a) (2,1) (b) (3,1) (c) (4,4) (d) (4,4) (e) (4,32)Plot each point in a rectangular coordinate system and identify the quadrant in which the point is located: (a) (4,1) (b) (2,3) (c) (2,5) (d) (2,5) (e) (3,52)Use graph of y=3x1 . For each ordered pair, decide: (a) Is the ordered pair a solution to the equation? (b) Is the point on the line? A(0,1)B(2,5)Use graph of y=3x1 . For each ordered pair, decide: (a) Is the ordered pair a solution to the equation? (b) Is the point on the line? A(3,1)B(1,4)Graph the equation by plotting points: y=2x3 .Graph the equation by plotting points: y=2x+4 .Graph the equation: y=13x1 .Graph the equation: y=14x+2 .Graph the equations: (a) x=5 (b) y=4 .Graph the equations: (a) x=2 (b) y=3 Graph the equations in the same rectangular coordinate system: y=4x and y=4 .Graph the equations in the same rectangular coordinate system: y=3 and y=3x .Find the x- and y-intercepts on the graph.Find the x- and y-intercepts on the graph.Find the intercepts: 3x+y=12 .Find the intercepts: x+4y=8 .Graph using the intercepts: x2y=4 .Graph using the intercepts: x+3y=6 .Graph using the intercepts: 5x2y=10 .Graph using the intercepts: 3x4y=12 .Graph using the intercepts: y=4x .Graph the intercepts: y=x .In the following exercises, plot each point in a rectangular coordinate system and identify the quadrant in which the point is located. 1. (a) (4,2) (b) (1,2) (c) (3,5) (d) (3,0) (e) (53,2)In the following exercises, plot each point in a rectangular coordinate system and identify the quadrant in which the point is located. 2. (a) (2,3) (b) (3,3) (c) (4,1) (d) (4,1) (e) (32,1)In the following exercises, plot each point in a rectangular coordinate system and identify the quadrant in which the point is located. 3. (a) (3,1) (b) (3,1) (c) (2,0) (d) (4,3) (e) (1,145)In the following exercises, plot each point in a rectangular coordinate system and identify the quadrant in which the point is located. 4. (a) (1,1) (b) (2,1) (c) (2,0) (d) (1,4) (e) (3,72)In the following exercises, for each ordered pair, decide (a) is the ordered pair a solution to the equation? (b) is the point on the line? 5. y=x+2; A:(0,2);B(1,2);C:(1,1);D:(3,1)In the following exercises, for each ordered pair, decide (a) is the ordered pair a solution to the equation? (b) is the point on the line? 6. y=x4; A:(0,4);B(3,1);C:(2,2);D:(1,5)In the following exercises, for each ordered pair, decide (a) is the ordered pair a solution to the equation? (b) is the point on the line? 7. y=12x3; A:(0,3);B(2,2);C:(2,4);D:(4,1)In the following exercises, for each ordered pair, decide (a) is the ordered pair a solution to the equation? (b) is the point on the line? 8. y=13x+2; A:(0,2);B(3,3);C:(3,2);D:(6,0)In the following exercises, graph by plotting points. 9. y=x+2 In the following exercises, graph by plotting points. 10. y=x3 In the following exercises, graph by plotting points. 11. y=3x1 In the following exercises, graph by plotting points. 12. y=2x+2 In the following exercises, graph by plotting points. 13. y=x3 In the following exercises, graph by plotting points. 14. y=x2 In the following exercises, graph by plotting points. 15. y=2x In the following exercises, graph by plotting points. 16. y=2x In the following exercises, graph by plotting points. 17. y=12x+2 In the following exercises, graph by plotting points. 18. y=13x1 In the following exercises, graph by plotting points. 19. y=43x5 In the following exercises, graph by plotting points. 20. y=32x3 In the following exercises, graph by plotting points. 21. y=25x+1 In the following exercises, graph by plotting points. 22. y=45x1 In the following exercises, graph by plotting points. 23. y=32x+2 In the following exercises, graph by plotting points. 24. y=53x+4 In the following exercises, graph each equation. 25. (a) x=4 (b) y=3 In the following exercises, graph each equation. 26. (a) x=3 (b) y=1 In the following exercises, graph each equation. 27. (a) x=2 (b) y=5 In the following exercises, graph each equation. 28. (a) x=5 (b) y=2 In the following exercises, graph each pair of equations in the same rectangular coordinate system. 29. y=2x and y=2 In the following exercises, graph each pair of equations in the same rectangular coordinate system. 30. y=5x and y=5 In the following exercises, graph each pair of equations in the same rectangular coordinate system. 31. y=12x and y=12 In the following exercises, graph each pair of equations in the same rectangular coordinate system. 32. y=13x and y=13 In the following exercises, find the x- and y-intercepts on each graph. 33.In the following exercises, find the x- and y-intercepts on each graph. 34.In the following exercises, find the x- and y-intercepts on each graph. 35.In the following exercises, find the x- and y-intercepts on each graph. 36.In the following exercises, find the intercepts for each equation. 37. xy=5 In the following exercises, find the intercepts for each equation. 38. xy=4 In the following exercises, find the intercepts for each equation. 39. 3x+y=6 In the following exercises, find the intercepts for each equation. 40. x2y=8 In the following exercises, find the intercepts for each equation. 41. 4xy=8 In the following exercises, find the intercepts for each equation. 42. 5xy=5 In the following exercises, find the intercepts for each equation. 43. 2x+5y=10 In the following exercises, find the intercepts for each equation. 44. 3x2y=12 In the following exercises, graph using the intercepts. 45. x+4y=8 In the following exercises, graph using the intercepts. 46. x+2y=4 In the following exercises, graph using the intercepts. 47. x+y=3 In the following exercises, graph using the intercepts. 48. xy=4 In the following exercises, graph using the intercepts. 49. 4x+y=4 In the following exercises, graph using the intercepts. 50. 3x+y=3 In the following exercises, graph using the intercepts. 51. 3xy=6 In the following exercises, graph using the intercepts. 52. 2xy=8 In the following exercises, graph using the intercepts. 53. 2x+4y=12 In the following exercises, graph using the intercepts. 54. 3x2y=6 In the following exercises, graph using the intercepts. 55. 2x5y=20 In the following exercises, graph using the intercepts. 56. 3x4y=12 In the following exercises, graph using the intercepts. 57. y=2x In the following exercises, graph using the intercepts. 58. y=5x In the following exercises, graph using the intercepts. 59. y=x In the following exercises, graph using the intercepts. 60. y=x In the following exercises, graph each equation. 61. y=32x In the following exercises, graph each equation. 62. y=23x In the following exercises, graph each equation. 63. y=12x+3 In the following exercises, graph each equation. 64. y=14x2

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