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All Textbook Solutions for Elementary Algebra

Evaluate 3ab2 when a=23 and b=12 .Evaluate 4c3d when c=12 and d=43 .Evaluate a+bc when a=8 , b=7 , and c=6 .Evaluate x+yz when x=9 , y=18 ,and z=6 .In the following exercises, add. 425. 613+513In the following exercises, add. 426. 415+715In the following exercises, add. 427. x4+34In the following exercises, add. 428. 8q+6qIn the following exercises, add. 429. 316+(716)In the following exercises, add. 430. 516+(916)In the following exercises, add. 431. 817+1517In the following exercises, add. 432. 919+1719In the following exercises, add. 433. 613+(1013)+(1213)In the following exercises, add. 434. 512+(712)+(1112)In the following exercises, subtract. 435. 1115715In the following exercises, subtract. 436. 913413In the following exercises, subtract. 437. 1112512In the following exercises, subtract. 438. 712512In the following exercises, subtract. 439. 1921421In the following exercises, subtract. 440. 1721821In the following exercises, subtract. 441. 5y878In the following exercises, subtract. 442. 11z13813In the following exercises, subtract. 443. 23u15uIn the following exercises, subtract. 444. 29v26vIn the following exercises, subtract. 445. 35(45)In the following exercises, subtract. 446. 37(57)In the following exercises, subtract. 447. 79(59)In the following exercises, subtract. 448. 811(511)In the following exercises, simplify. 449. 518910In the following exercises, simplify. 450. 314712In the following exercises, simplify. 451. n545In the following exercises, simplify. 452. 611s11In the following exercises, simplify. 453. 724+224In the following exercises, simplify. 454. 518+118In the following exercises, simplify. 455. 815125In the following exercises, simplify. 456. 712928In the following exercises, add or subtract. 457. 12+17In the following exercises, add or subtract. 458. 13+18In the following exercises, add or subtract. 459. 13(19)In the following exercises, add or subtract. 460. 14(18)In the following exercises, add or subtract. 461. 712+58In the following exercises, add or subtract. 462. 512+38In the following exercises, add or subtract. 463. 712916In the following exercises, add or subtract. 464. 716512In the following exercises, add or subtract. 465. 2338In the following exercises, add or subtract. 466. 5634In the following exercises, add or subtract. 467. 1130+2740In the following exercises, add or subtract. 468. 920+1730In the following exercises, add or subtract. 469. 1330+2542In the following exercises, add or subtract. 470. 2330+548In the following exercises, add or subtract. 471. 39562235In the following exercises, add or subtract. 472. 33491835In the following exercises, add or subtract. 473. 23(34)In the following exercises, add or subtract. 474. 34(45)In the following exercises, add or subtract. 475. 1+78In the following exercises, add or subtract. 476. 1310In the following exercises, add or subtract. 477. x3+14In the following exercises, add or subtract. 478. y2+23In the following exercises, add or subtract. 479. y435In the following exercises, add or subtract. 480. x514In the following exercises, simplify. 481. (a) 23+16 (b) 2316In the following exercises, simplify. 482. (a) 2518 (b) 2518In the following exercises, simplify. 483. (a) 5n6815 (b) 5n6815In the following exercises, simplify. 484. (a) 3a8712 (b) 3a8712In the following exercises, simplify. 485. 38(310)In the following exercises, simplify. 486. 512(59)In the following exercises, simplify. 487. 38+512In the following exercises, simplify. 488. 18+712In the following exercises, simplify. 489. 5619In the following exercises, simplify. 490. 5916In the following exercises, simplify. 491. 715y4In the following exercises, simplify. 492. 38x11In the following exercises, simplify. 493. 1112a9a16In the following exercises, simplify. 494. 10y13815yIn the following exercises, simplify. 495. 23+42( 2 3 )2In the following exercises, simplify. 496. 3332( 3 4 )2In the following exercises, simplify. 497. ( 3 5 )2( 3 7 )2In the following exercises, simplify. 498. ( 3 4 )2( 5 8 )2In the following exercises, simplify. 499. 213+15In the following exercises, simplify. 500. 514+13In the following exercises, simplify. 501. 782312+38In the following exercises, simplify. 502. 343514+25In the following exercises, simplify. 503. 12+23512In the following exercises, add or subtract. 504. 13+2534In the following exercises, add or subtract. 505. 135110In the following exercises, add or subtract. 506. 156112In the following exercises, simplify. 507. 23+16+34In the following exercises, simplify. 508. 23+14+35In the following exercises, simplify. 509. 3816+34In the following exercises, simplify. 510. 25+5834In the following exercises, simplify. 511. 12(920415)In the following exercises, simplify. 512. 8(151656)In the following exercises, simplify. 513. 58+161924In the following exercises, simplify. 514. 16+3101430In the following exercises, simplify. 515. (59+16)(2312)In the following exercises, simplify. 516. (34+16)(5813)In the following exercises, evaluate. 517. x+(56) when (a) x=13 (b) x=16In the following exercises, evaluate. 518. x+(1112) when (a) x=1112 (b) x=34In the following exercises, evaluate. 519. x25 when (a) x=35 (b) x=35In the following exercises, evaluate. 520. x13 when (a) x=23 (b) x=23In the following exercises, evaluate. 521. 710w when (a) w=12 (b) w=12In the following exercises, evaluate. 522. 512w when (a) w=14 (b) w=14In the following exercises, evaluate. 523. 2x2y3 when x=23 and y=12In the following exercises, evaluate. 524. 8u2v3 when u=34 and v=12 .In the following exercises, evaluate. 525. a+bab when a=3 , b=8In the following exercises, evaluate. 526. rsr+s when r=10 , s=5Decorating Laronda is making covers for the throw pillows on her sofa. For each pillow cover, she needs 12 yard of print fabric and 38 yard of solid fabric. What is the total amount of fabric Laronda needs for each pillow cover?Baking Vanessa is baking chocolate chip cookies and oatmeal cookies. She needs 12 - cup of sugar for the chocolate chip cookies and 14 of sugar for the oatmeal cookies. How much sugar does she need altogether?Why do you need a common denominator to add or subtract fractions? Explain.How do you find the LCD of 2 fractions?Name the decimal: 6.7.Name the decimal: 5.8.Name the decimal: 13.461.Name the decimal: 2.053.Write as a decimal: thirteen and sixty-eight thousandths.Write as a decimal: five and ninety-four thousandths.Round to the nearest hundredth: 1.047.Round to the nearest hundredth: 9.173.Round 6.582 to the nearest (a) hundredth (b) tenth (c) whole number.Round 15.2175 to the nearest (a) thousandth (b) hundredth (c) tenth.Add: 4.8+11.69 .Add: 5.123+18.47 .Subtract: 109.58 .Subtract: 5037.42Multiply: 4.5(6.107) .Multiply: 10.79(8.12).Multiply 2.58 (a) by 10 (b) by 100 (c) by 1,000.Multiply 14.2 (a) by 10 (b) by 100 (c) by 1,000.Divide: 23.492(0.04) .Divide: 4.11(0.12) .Divide: 6.9936.Divide: 4.9912.Write 0.234 as a fraction.Write 0.024 as a fraction.Write 78 as a decimal.Write 38 as a decimal.Write 2711 as a decimal.Write 5122 as a decimal.Simplify: 38+4.9 .Simplify: 5.7+1320 .Convert each percent to a decimal: (a) 9% (b) 87% (c) 3.9%.Convert each percent to a decimal: (a) 3% (b) 91% (c) 8.3%.Convert each decimal to a percent: (a) 0.17 (b) 1.75 (c) 0.0825.Convert each decimal to a percent: (a) 0.41 (b) 2.25 (c) 0.0925.In the following exercises, write as a decimal. 531. Twenty-nine and eighty-one hundredthsIn the following exercises, write as a decimal. 532. Sixty-one and seventy-four hundredthsIn the following exercises, write as a decimal. 533. Seven tenthsIn the following exercises, write as a decimal. 534. Six tenthsIn the following exercises, write as a decimal. 535. Twenty-nine thousandthIn the following exercises, write as a decimal. 536. Thirty-five thousandthsIn the following exercises, write as a decimal. 537. Negative eleven and nine ten thousandthsIn the following exercises, write as a decimal. 538. Negative fifty-nine and two ten-thousandths.In the following exercises, write as a decimal. 539. 5.5In the following exercises, write as a decimal. 540. 14.02In the following exercises, write as a decimal. 541. 8.71In the following exercises, write as a decimal. 542. 2.64In the following exercises, write as a decimal. 543. 0.002In the following exercises, write as a decimal. 544. 0.479In the following exercises, write as a decimal. 545. 17.9In the following exercises, write as a decimal. 546. 31.4In the following exercises, round each number to the nearest tenth. 547. 0.67In the following exercises, round each number to the nearest tenth. 548. 0.49In the following exercises, round each number to the nearest tenth. 549. 2.84In the following exercises, round each number to the nearest tenth. 550.4.63In the following exercises, round each number to the nearest hundredth. 551. 0.845In the following exercises, round each number to the nearest hundredth. 552. 0.761In the following exercises, round each number to the nearest hundredth. 553. 0.299In the following exercises, round each number to the nearest hundredth. 554. 0.697In the following exercises, round each number to the nearest hundredth. 555. 4.098In the following exercises, round each number to the nearest hundredth. 556. 7.096In the following exercises, round each number to the nearest (a) hundredth (b) tenth (c) whole number. 557. 5.781In the following exercises, round each number to the nearest (a) hundredth (b) tenth (c) whole number. 558. 1.6381In the following exercises, round each number to the nearest (a) hundredth (b) tenth (c) whole number. 559. 63.479In the following exercises, round each number to the nearest (a) hundredth (b) tenth (c) whole number. 560. 84.281In the following exercises, add or subtract. 561. 16.92+7.56In the following exercises, add or subtract. 562. 248.2591.29In the following exercises, add or subtract. 563. 21.7630.99In the following exercises, add or subtract. 564. 38.6+13.67In the following exercises, add or subtract. 565. 16.5324.38In the following exercises, add or subtract. 566. 19.4732.58 .In the following exercises, add or subtract. 567. 38.69+31.47In the following exercises, add or subtract. 568. 29.83+19.76In the following exercises, add or subtract. 569. 72.5100In the following exercises, add or subtract. 570. 86.2100In the following exercises, add or subtract. 571. 15+0.73In the following exercises, add or subtract. 572. 27 + 0.87In the following exercises, add or subtract. 573. 91.95(10.462)In the following exercises, add or subtract. 574. 94.69(12.678)In the following exercises, add or subtract. 575. 55.013.7In the following exercises, add or subtract. 576. 59.084.6In the following exercises, add or subtract. 577. 2.517.4In the following exercises, add or subtract. 578. 3.846.1In the following exercises, multiply. 579. (0.24)(0.6)In the following exercises, multiply. 580. (0.81)(0.3)In the following exercises, multiply. 581. (5.9)(7.12)In the following exercises, multiply. 582. (2.3)(9.41)In the following exercises, multiply. 583. (4.3)(2.71)In the following exercises, multiply. 548. (8.5)(1.69)In the following exercises, multiply. 585. (5.18)(65.23)In the following exercises, multiply. 586. (9.16)(68.34)In the following exercises, multiply. 587. (0.06)(21.75)In the following exercises, multiply. 588. (0.08)(52.45)In the following exercises, multiply. 589. (9.24)(10)In the following exercises, multiply. 590. (6.531)(10)In the following exercises, multiply. 591. (55.2)(1000)In the following exercises, multiply. 592. (99.4)(1000)In the following exercises, divide. 593. 4.7525In the following exercises, divide. 594. 12.0443In the following exercises, divide. 595. 117.2548In the following exercises, divide. 596. 109.2436 .In the following exercises, divide. 597. 0.60.2In the following exercises, divide. 598. 0.80.4In the following exercises, divide. 599. 1.44(0.3)In the following exercises, divide. 600. 1.25(0.5)In the following exercises, divide. 601. 1.75(0.05)In the following exercises, divide. 602. 1.15(0.05)In the following exercises, divide. 603. 5.22.5In the following exercises, divide. 604. 6.53.25In the following exercises, divide. 605. 110.55In the following exercises, divide. 606. 140.35In the following exercises, write each decimal as a fraction. 607. 0.04In the following exercises, write each decimal as a fraction. 608. 0.19In the following exercises, write each decimal as a fraction. 609. 0.52In the following exercises, write each decimal as a fraction. 610. 0.78In the following exercises, write each decimal as a fraction. 611. 1.25In the following exercises, write each decimal as a fraction. 612. 1.35In the following exercises, write each decimal as a fraction. 613. 0.375In the following exercises, write each decimal as a fraction. 614. 0.464In the following exercises, write each decimal as a fraction. 615. .095In the following exercises, write each decimal as a fraction. 616. 0.085In the following exercises, convert each fraction to a decimal. 617. 1720In the following exercises, convert each fraction to a decimal. 618. 1320In the following exercises, convert each fraction to a decimal. 619. 114In the following exercises, convert each fraction to a decimal. 620. 174In the following exercises, convert each fraction to a decimal. 621. 31025In the following exercises, convert each fraction to a decimal. 622. 28425In the following exercises, convert each fraction to a decimal. 623. 1511In the following exercises, convert each fraction to a decimal. 624. 1811In the following exercises, convert each fraction to a decimal. 625. 15111In the following exercises, convert each fraction to a decimal. 626. 25111In the following exercises, convert each fraction to a decimal. 627. 2.4+58In the following exercises, convert each fraction to a decimal. 628. 3.9+920In the following exercises, convert each percent to a decimal. 629. 1In the following exercises, convert each percent to a decimal. 630. 2%In the following exercises, convert each percent to a decimal. 631. 63%In the following exercises, convert each percent to a decimal. 632. 71%In the following exercises, convert each percent to a decimal. 633. 150%In the following exercises, convert each percent to a decimal. 634. 250%In the following exercises, convert each percent to a decimal. 635. 21.4%In the following exercises, convert each percent to a decimal. 636. 39.3%In the following exercises, convert each percent to a decimal. 637. 7.8%In the following exercises, convert each percent to a decimal. 638. 6.4%In the following exercises, convert each decimal to a percent. 639. 0.01In the following exercises, convert each decimal to a percent. 640. 0.03In the following exercises, convert each decimal to a percent. 641. 1.35In the following exercises, convert each decimal to a percent. 642. 1.56In the following exercises, convert each decimal to a percent. 643. 3In the following exercises, convert each decimal to a percent. 644. 4In the following exercises, convert each decimal to a percent. 645. 0.0875In the following exercises, convert each decimal to a percent. 646. 0.0625In the following exercises, convert each decimal to a percent. 647. 2.254In the following exercises, convert each decimal to a percent. 648. 2.317Salary Increase Danny got a raise and now makes $58,965.95 a year. Round this number to the nearest dollar thousand dollars ten thousand dollars.New Car Purchase Selena’s new car cost $23,795.95. Round this number to the nearest (a) dollar (2) thousand dollars (3) thousand dollars.Sales Tax Hyo Jin lives in San Diego. She bought a refrigerator for $1,624.99 and when the clerk calculated the sales tax It came out to exactly $142.186625. Round the sales tax to the nearest penny and dollar.Sales Tax Jennifer bought a $1,038.99 dining room set for her home in Cincinnati. She calculated the sales tax to be exactly $67.53435. Round the sales tax to the nearest penny and dollar.Paycheck Annie has two jobs. She gets paid $14.04 per hour for tutoring at City College and $8.75 per hour at a coffee shop. Last week she tutored for 8 hours and worked at the coffee shop for 15 hours. How much did she earn? If she had worked all 23 hours as a tutor instead of working both jobs, how much more would she have 1earned?Paycheck Jake has two jobs. He gets paid $7.95 per hour at the college cafeteria and $20.25 at the art gallery. Last week he worked 12 hours at the cafeteria and 5 hours at the art gallery. How much did he earn? If he had worked all 17 hours at the art gallery instead of working both jobs, how much more would he have earned?How does knowing about US money help you learn about decimals?Explain how you write “three and nine hundredths” as a decimal.Without solving the problem “44 is 80% of what numbers think about what the solution might be. Should it be a number that is greater than 44 or less than 44? Explain your reasoning.When the Szetos sold their home, the selling price was 500% of what they had paid for the house 30 years 1ago. Explain what 500% means in this context.Simplify: (a) 36 (b) 169 .Simplify: (a) 16 (b) 196 .Simplify: (a) 4 (b) 225Simplify: (a) 81 (b) 100Write as the ratio of two integers: (a) 24 (b) 3.57.Write as the ratio of two integers: (a) 19 (b) 8.41.For the given numbers list the (a) rational numbers (b) irrational numbers: 0.29. 0.816. 2.5151 15111....For the given numbers list the (a) rational numbers (b) irrational numbers: 2.63. 0.125, 0.418302...For each number given, identify whether it is rational or irrational: (a) 81 (b) 17 .For each number given, Identify whether It is rational or irrational: (a) 116 (b) 121 .For each number given, identify whether it is a real number or not a real number: (a) 196(b) 81 .For each number given, identify whether it is a real number or not a real number: (a) 49 (b) 121 .For the given numbers, list the (a) whole numbers integers (b) rational numbers (c) irrational numbers (d) real numbers: 3,2,0.3,95,4,49 .For the given numbers, list the (a) whole numbers (b) integers (c) rational numbers (d) irrational numbers (d) real numbers: 25,38,1.6,121,2.041975...Locate and label the following on a number line: 1,13,65,74,92,5,83.Locate and label the following on a number line: 2,23,75,74,72,3,73.Order each of the following pairs of numbers, using < or >: (a) 131 (b) 1122 (c) 2313 (d) 373Order each of the following pairs of numbers, using < or >: (a) 123 (b) 2142 (c) 3545 (d) 4103.Locate on the number line: 0.6.Locate on the number line: 0.9.Locate on the number line: —0.6.Locate on the number line: —0.7.Order each of the following pairs of numbers, using < or > 0.42_____0.4.Order each of the following pairs of numbers, using < or > :0. 18___0. 1.Order the following pair of numbers, using < or > 0.76_______0.706.Order the following pair of numbers, using < or > : 0.305_0.35.Order the following pair of numbers, using < or >: 0.3____0.5.Order the following pair of numbers, using < or >: 0.6_____--0.7.