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All Textbook Solutions for Elementary Algebra

In the following exercises, solve each equation with fraction coefficients. 334. 13b+15=25b35In the following exercises, solve each equation with fraction coefficients. 335. 13x+25=15x25In the following exercises, solve each equation with fraction coefficients. 336. 1=16(12x6)In the following exercises, solve each equation with fraction coefficients. 337. 1=15(15x10)In the following exercises, solve each equation with fraction coefficients. 338. 14(p7)=13(p+5)In the following exercises, solve each equation with fraction coefficients. 339. 15(q+3)=12(q3)In the following exercises, solve each equation with fraction coefficients. 340. 12(x+4)=34In the following exercises, solve each equation with fraction coefficients. 341. 13(x+5)=56In the following exercises, solve each equation with fraction coefficients. 342. 5q85=2q10In the following exercises, solve each equation with fraction coefficients. 343. 4m+26=m3In the following exercises, solve each equation with fraction coefficients. 344. 4n+84=n3In the following exercises, solve each equation with fraction coefficients. 345. 3p+63=p2In the following exercises, solve each equation with fraction coefficients. 346. u34=u23In the following exercises, solve each equation with fraction coefficients. 347. v10+1=v42In the following exercises, solve each equation with fraction coefficients. 348. c15+1=c101In the following exercises, solve each equation with fraction coefficients. 349. d6+3=d8+2In the following exercises, solve each equation with fraction coefficients. 350. 3x+42+1=5x+108In the following exercises, solve each equation with fraction coefficients. 351. 10y23+3=10y+19In the following exercises, solve each equation with fraction coefficients. 352. 7u141=4u+85In the following exercises, solve each equation with fraction coefficients. 353. 3v62+5=11v45In the following exercises, solve each equation with decimal coefficients. 354. 0.6y+3=9In the following exercises, solve each equation with decimal coefficients. 355. 0.4y4=2In the following exercises, solve each equation with decimal coefficients. 356. 3.6j2=5.2In the following exercises, solve each equation with decimal coefficients. 357. 2.1k+3=7.2In the following exercises, solve each equation with decimal coefficients. 358. 0.4x+0.6=0.5x1.2In the following exercises, solve each equation with decimal coefficients. 359. 0.7x+0.4=0.6x+2.4In the following exercises, solve each equation with decimal coefficients. 360. 0.23x+1.47=0.37x1.05In the following exercises, solve each equation with decimal coefficients. 361. 0.48x+1.56=0.58x0.64In the following exercises, solve each equation with decimal coefficients. 362. 0.9x1.25=0.75x+1.75In the following exercises, solve each equation with decimal coefficients. 363. 1.2x0.91=0.8x+2.29In the following exercises, solve each equation with decimal coefficients. 364. 0.05n+0.10(n+8)=2.15In the following exercises, solve each equation with decimal coefficients. 365. 0.05n+0.10(n+7)=3.55In the following exercises, solve each equation with decimal coefficients. 366. 0.10d+0.25(d+5)=4.05In the following exercises, solve each equation with decimal coefficients. 367. 0.10d+0.25(d+7)=5.25In the following exercises, solve each equation with decimal coefficients. 368. 0.05(q5)+0.25q=3.05In the following exercises, solve each equation with decimal coefficients. 369. 0.05(q8)+0.25q=4.10Coins Taylor has $2.00 in dimes and pennies. The number of pennies is 2 more than the number of dimes. Solve the equation 0.10d+0.001(d+2)=2 for d, the number of dimes.Stamps Paula bought $22.82 worth of 49-cent stamps and 21-cent stamps. The number of 21-cent stamps was 8 less than the number of 49-cent stamps. Solve the equation 0.49s+0.21(s8)=22.82 for s, to find the number of 49-cent stamps Paula bought.Explain how you find the least common denominator of 38,16 , and 23 .If an equation has several fractions, how does multiplying both sides by the LCD make it easier to solve?If an equation has fractions only on one side, why do you have to multiply both sides of the equation by the LCD?In the equation 0.35x+2.1=2.85 what is the LCD? How do you know?Lindsay drove for 512 hours at 60 miles per hour. How much distance did she travel?Trinh walked for 213 hours at 3 miles per hour. How far did she walk?Lee wants to drive from Phoenix to his brother’s apartment in San Francisco, a distance of 770 miles. If he drives at a steady rate of 70 miles per hour, how many hours will the trip take?Yesenia is 168 miles from Chicago. If she needs to be in Chicago in 3 hours, at what rate does she need to drive?Solve the formula d=rt for r: (a) when d=180 and t=4 (b) in generalSolve the formula d=rt for r: (a) when d=780 and t=12 (b) in generalUse the formula A=12bh to solve for h: (a) when A=170 and b=17 (b) in generalUse the formula A=12bh to solve for b: (a) when A=62 and h=31 (b) in generalUse the formula I=Prt to find the principal, P: (a) when I=2,160,r=6,t=3years (b) in generalUse the formula I=Prt to find the principal, P: (a) when I=5,400,r=12,t=5years (b) in generalSolve the formula 3x+4y=10 for y: (a) when x=143 (b) in generalSolve the formula 5x+2y=18 for y: (a) when x=4 (b) in generalSolve the formula P=a+b+c for b.Solve the formula P=a+b+c for c.Solve the formula 4x+7y=9 for y.Solve the formula 5x+8y=1 for y.In the following exercises, solve. 376. Steve drove for 812 hours at 72 miles per hour. How much distance did he travel?In the following exercises, solve. 377. Socorro drove for 456 hours at 60 miles per hour. How much distance did she travel?In the following exercises, solve. 378. Yuki walked for 134 hours at 4 miles per hour. How far did she walk?In the following exercises, solve. 379. Francie rode her bike for 212 hours at 12 miles per hour. How far did she ride?In the following exercises, solve. 380. Connor wants to drive from Tucson to the Grand Canyon, a distance of 338 miles. If he drives at a steady rate of 52 miles per hour, how many hours will the trip take?In the following exercises, solve. 381. Megan is taking the bus from New York City to Montreal. The distance is 380 miles and the bus travels at a steady rate of 76 miles per hour. How long will the bus ride be?In the following exercises, solve. 382. Aurelia is driving from Miami to Orlando at a rate of 65 miles per hour. The distance is 235 miles. To the nearest tenth of an hour, how long will the trip take?In the following exercises, solve. 383. Kareem wants to ride his bike from St. Louis to Champaign, Illinois. The distance is 180 miles. If he rides at a steady rate of 16 miles per hour, how many hours will the trip take?In the following exercises, solve. 384. Javier is driving to Bangor, 240 miles away. If he needs to be in Bangor in 4 hours, at what rate does he need to drive?In the following exercises, solve. 385. Alejandra is driving to Cincinnati, 450 miles away. If she wants to be there in 6 hours, at what rate does she need to drive?In the following exercises, solve. 386. Aisha took the train from Spokane to Seattle. The distance is 280 miles and the trip took 3.5 hours. What was the speed of the train?In the following exercises, solve. 387. Philip got a ride with a friend from Denver to Las Vegas, a distance of 750 miles. If the trip took 10 hours, how fast was the friend driving?In the following exercises, use the formula d=rt. 388. Solve for t (a) when d=350 and r=70 (b) in generalIn the following exercises, use the formula d=rt. 389. Solve for t (a) when d=240 and r=60 (b) in generalIn the following exercises, use the formula d=rt. 390. Solve for t (a) when d=510 and r=60 (b) in generalIn the following exercises, use the formula d=rt. 391. Solve for t (a) when d=175 and r=50 (b) in generalIn the following exercises, use the formula d=rt. 392. Solve for r (a) when d=204 and t=3 (b) in generalIn the following exercises, use the formula d=rt. 393. Solve for r (a) when d=420 and t=6 (b) in generalIn the following exercises, use the formula d=rt. 394. Solve for r (a) when d=160 and t=2.5 (b) in generalIn the following exercises, use the formula d=rt. 395. Solve for r (a) when d=180 and t=4.5 (b) in generalIn the following exercises, use the formula A=12bh. 396. Solve for b (a) when A=126 and h=18 (b) in generalIn the following exercises, use the formula A=12bh. 397. Solve for h (a) when A=176 and b=22 (b) in generalIn the following exercises, use the formula A=12bh. 398. Solve for h (a) when A=375 and b=25 (b) in generalIn the following exercises, use the formula A=12bh. 399. Solve for b (a) when A=65 and h=13 (b) in generalIn the following exercises, use the formula I=Prt. 400. Solve for the principal, P for (a) I=5,480,r=4,t=7years (b) in generalIn the following exercises, use the formula I=Prt. 401. Solve for the principal, P for (a) I=3,950,r=6,t=5years (b) in generalIn the following exercises, use the formula I=Prt. 402. Solve for the time, t for (a) I=2,376,P=9,000,r=4.4 (b) in generalIn the following exercises, use the formula I=Prt. 403. Solve for the time, t for (a) I=624,P=6,000,r=5.2 (b) in generalIn the following exercises, solve. 404. Solve the formula 2x+3y=12 for y (a) when x=3 (b) in generalIn the following exercises, solve. 405. Solve the formula 5x+2y=10 for y (a) when x=4 (b) in generalIn the following exercises, solve. 406. Solve the formula 3xy=7 for y (a) when x=2 (b) in generalIn the following exercises, solve. 407. Solve the formula 4x+y=5 for y (a) when x=3 (b) in generalIn the following exercises, solve. 408. Solve a+b=90 for b.In the following exercises, solve. 409. Solve a+b=90 for a.In the following exercises, solve. 410. Solve 180=a+b+c for a.In the following exercises, solve. 411. Solve 180=a+b+c for c.In the following exercises, solve. 412. Solve the formula 8x+y=15 for y.In the following exercises, solve. 413. Solve the formula 9x+y=13 for y.In the following exercises, solve. 414. Solve the formula 4x+y=6 for y.In the following exercises, solve. 415. Solve the formula 5x+y=1 for y.In the following exercises, solve. 416. Solve the formula 4x+3y=7 for y.In the following exercises, solve. 417. Solve the formula 3x+2y=11 for y.In the following exercises, solve. 418. Solve the formula xy=4 for y.In the following exercises, solve. 419. Solve the formula xy=3 for y.In the following exercises, solve. 420. Solve the formula P=2L+2W for L.In the following exercises, solve. 421. Solve the formula P=2L+2W for W.In the following exercises, solve. 422. Solve the formula C=d for d.In the following exercises, solve. 423. Solve the formula C=d for .In the following exercises, solve. 424. Solve the formula V=LWH for L.In the following exercises, solve. 425. Solve the formula V=LWH for H.Converting temperature While on a tour in Greece, Tatyana saw that the temperature was 40° Celsius. Solve for F in the formula C=59(F32) to find the Fahrenheit temperature.Converting temperature Yon was visiting the United States and he saw that the temperature in Seattle one day was 50o Fahrenheit. Solve for C in the formula F=95C+32 to find the Celsius temperature.Solve the equation 2x+3y=6 for y (a) when x=3 (b) in general (c) Which solution is easier for you, (a) or (b)? Why?Solve the equation 5x2y=10 for x (a) when y=10 (b) in general (c) Which solution is easier for you, (a) or (b)? Why?Graph on the number line: (a) x1 (b) x2 (c) x3Graph on the number line: (a) x2 (b) x3 (c) x1Graph on the number line and write in interval notation: (a) x2 (b) x1.5 (c) x34Graph on the number line and write in interval notation: (a) x4 (b) x0.5 (c) x23Solve the inequality, graph the solution on the number line, and write the solution in interval notation. p3416Solve the inequality, graph the solution on the number line, and write the solution in interval notation. r13712Solve the inequality, graph the solution on the number line, and write the solution in interval notation. 9c72Solve the inequality, graph the solution on the number line, and write the solution in interval notation. 12d60Solve each inequality, graph the solution on the number line, and write the solution in interval notation.8q32Solve each inequality, graph the solution on the number line, and write the solution in interval notation. 7r70Solve the inequality, graph the solution on the number line, and write the solution in interval notation. 2438mSolve the inequality, graph the solution on the number line, and write the solution in interval notation.2443nSolve the inequality, graph the solution on the number line, and write the solution in interval notation. k1215Solve the inequality, graph the solution on the number line, and write the solution in interval notation.u416Solve the inequality 3q7q23 , graph the solution on the number line, and write the solution in interval notation.Solve the inequality 6x10x+19 , graph the solution on the number line, and write the solution in interval notation.Solve the inequality 9y+2(y+6)5y24 , graph the solution on the number line, and write the solution in interval notation.Solve the inequality 6u+8(u1)10u+32 , graph the solution on the number line, and write the solution in interval notation.Solve the inequality 4b3(3b)5(b6)+2b , graph the solution on the number line, and write the solution in interval notation.Solve the inequality 9h7(2h)8(h+11)+8h , graph the solution on the number line, and write the solution in interval notation.Solve the inequality 14x112x16x+78 , graph the solution on the number line, and write the solution in interval notation.Solve the inequality 25z13z115z35 , graph the solution on the number line, and write the solution in interval notation.Translate and solve. Then write the solution in interval notation and graph on the number line. Twenty times y is at most 100Translate and solve. Then write the solution in interval notation and graph on the number line. Nine times z is no less than 135Translate and solve. Then write the solution in interval notation and graph on the number line. Nineteen less than p is no less than 47Translate and solve. Then write the solution in interval notation and graph on the number line. Four more than a is at most 15.In the following exercises, graph each inequality on the number line. 430. (a) x2 (b) x1 (c) x0In the following exercises, graph each inequality on the number line. 431. (a) x1 (b) x2 (c) x3In the following exercises, graph each inequality on the number line. 432. (a) x3 (b) x4 (c) x2In the following exercises, graph each inequality on the number line. 433. (a) x0 (b) x4 (c) x1In the following exercises, graph each inequality on the number line and write in interval notation. 434. (a) x2 (b) x3.5 (c) x23In the following exercises, graph each inequality on the number line and write in interval notation. 435. (a) x3 (b) x0.5 (c) x13In the following exercises, graph each inequality on the number line and write in interval notation. 436. (a) x4 (b) x2.5 (c) x32In the following exercises, graph each inequality on the number line and write in interval notation. 437. (a) x5 (b) x1.5 (c) x73In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 438. n1133In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 439. m4562In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 440. u+2521In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 441. v+123In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 442. a+34710In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 443. b+7816In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 444. f1320512In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 445. g1112518In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 446. 8x72In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 447. 6y48In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 448. 7r56In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 449. 9s81In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 450. 5u65In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 451. 8v96In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 452. 9c126In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 453. 7d105In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 454. 2025hIn the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 455. 4058kIn the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 456. 76j42In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 457. 94g36In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 458. a39In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 459. b1030In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 460. 25p5In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 461. 18q6In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 462. 9t27In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 463. 7s28In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 464. 23y36In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 465. 35x45In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 466. 4v9v40In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 467. 5u8u21In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 468. 13q7q29In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 469. 9p14p18In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 470. 12x+3(x+7)10x24In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 471. 9y+5(y+3)4y35In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 472. 6h4(h1)7h11In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 473. 4k(k2)7k26In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 474. 8m2(14m)7(m4)+3mIn the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 475. 6n12(3n)9(n4)+9nIn the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 476. 34b13b512b12In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 477. 9u+5(2u5)12(u1)+7uIn the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 478. 23g12(g14)16(g+42)In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 479. 56a14a712a+23In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 480. 45h23(h9)115(2h+90)In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 481. 12v+3(4v1)19(v2)+5vIn the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 482. 1540In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 483. 35k77In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 484. 23p2(65p)3(11p4)In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 485. 18q4(103q)5(6q8)In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 486. 94x512In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 487. 218y1528In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 488. c+3499In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 489. d+2961In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 490. m184In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 491. n136In the following exercises, translate and solve .Then write the solution in interval notation and graph on the number line 492. Fourteen times d is greater than 56.In the following exercises, translate and solve .Then write the solution in interval notation and graph on the number line 493. Ninety times c is less than 450.In the following exercises, translate and solve .Then write the solution in interval notation and graph on the number line. 494. Eight times z is smaller than 40 .In the following exercises, translate and solve .Then write the solution in interval notation and graph on the number line. 495. Ten times y is at most 110 .In the following exercises, translate and solve .Then write the solution in interval notation and graph on the number line 496. Three more than h is no less than 25.In the following exercises, translate and solve .Then write the solution in interval notation and graph on the number line 497. Six more than k exceeds 25.In the following exercises, translate and solve .Then write the solution in interval notation and graph on the number line 498. Ten less than w is at least 39.In the following exercises, translate and solve .Then write the solution in interval notation and graph on the number line 499. Twelve less than x is no less than 21.In the following exercises, translate and solve .Then write the solution in interval notation and graph on the number line 500. Negative five times r is no more than 95.In the following exercises, translate and solve .Then write the solution in interval notation and graph on the number line 501. Negative two times s is lower than 56.In the following exercises, translate and solve .Then write the solution in interval notation and graph on the number line 502. Nineteen less than b is at most 22 .In the following exercises, translate and solve .Then write the solution in interval notation and graph on the number line 503. Fifteen less than a is at least 7 .Safety A child’s height, h, must be at least 57 inches for the child to safely ride in the front seat of a car. Write this as an inequality.Fighter pilots The maximum height, h, of a fighter pilot is 77 inches. Write this as an inequality.Elevators The total weight, w, of an elevator’s passengers can be no more than 1,200 pounds. Write this as an inequality.Shopping The number of items, n, a shopper can have in the express check-out lane is at most 8. Write this as an inequality.Give an example from your life using the phrase ‘at least’.Give an example from your life using the phrase ‘at most’.Explain why it is necessary to reverse the inequality when solving 5x10 .Explain why it is necessary to reverse the inequality when solving n312 .In the following exercises, determine whether each number is a solution to the equation. 512. 10x1=5x;x=15In the following exercises, determine whether each number is a solution to the equation. 513.â w+2=58;w=38In the following exercises, determine whether each number is a solution to the equation. 514. 12n+5=8n;n=54In the following exercises, determine whether each number is a solution to the equation. 515. 6a3=7a,a=313In the following exercises, solve each equation using the Subtraction Property of Equality. 516. x+7=19In the following exercises, solve each equation using the Subtraction Property of Equality. 517. y+2=6In the following exercises, solve each equation using the Subtraction Property of Equality. 518. a+13=53In the following exercises, solve each equation using the Subtraction Property of Equality. 519. n+3.6=5.1In the following exercises, solve each equation using the Addition Property of Equality. 520. u7=10In the following exercises, solve each equation using the Addition Property of Equality. 521. x9=4In the following exercises, solve each equation using the Addition Property of Equality. 522. c311=911In the following exercises, solve each equation using the Addition Property of Equality. 523. p4.8=14In the following exercises, solve each equation. 524. n12=32In the following exercises, solve each equation. 525.?? y+16=9In the following exercises, solve each equation. 526. f+23=4In the following exercises, solve each equation. 527. d3.9=8.2In the following exercises, solve each equation. 528. y+815=3In the following exercises, solve each equation. 529. 7x+106x+3=5In the following exercises, solve each equation. 530. 6(n1)5n=14In the following exercises, solve each equation. 531. 8(3p+5)23(p1)=35In the following exercises, translate each English sentence into an algebraic equation and then solve it. 532. The sum of 6 and m is 25.In the following exercises, translate each English sentence into an algebraic equation and then solve it. 533. Four less than n is 13.In the following exercises, translate into an algebraic equation and solve. 534. Rochelle’s daughter is 11 years old. Her son is 3 years younger. How old is her son?In the following exercises, translate into an algebraic equation and solve. 535. Tan weighs 146 pounds. Minh weighs 15 pounds more than Tan. How much does Minh weigh?In the following exercises, translate into an algebraic equation and solve. 536. Peter paid $9.75 to go to the movies, which was $46.25 less than he paid to go to a concert. How much did he pay for the concert?In the following exercises, translate into an algebraic equation and solve. 537. Elissa earned $152.84 this week, which was $21.65 more than she earned last week. How much did she earn last week?In the following exercises, solve each equation using the division and multiplication properties of equality and check the solution. 538. 8x=72In the following exercises, solve each equation using the division and multiplication properties of equality and check the solution. 539. 13a=65In the following exercises, solve each equation using the division and multiplication properties of equality and check the solution. 540. 0.25p=5.25In the following exercises, solve each equation using the division and multiplication properties of equality and check the solution. 541. y=4In the following exercises, solve each equation using the division and multiplication properties of equality and check the solution. 542. n6=18In the following exercises, solve each equation using the division and multiplication properties of equality and check the solution. 543. y10=30In the following exercises, solve each equation using the division and multiplication properties of equality and check the solution. 544. 36=34xIn the following exercises, solve each equation using the division and multiplication properties of equality and check the solution. 545. 58u=1516In the following exercises, solve each equation using the division and multiplication properties of equality and check the solution. 546. 18m=72In the following exercises, solve each equation using the division and multiplication properties of equality and check the solution. 547. c9=36In the following exercises, solve each equation using the division and multiplication properties of equality and check the solution. 548. 0.45x=6.75In the following exercises, solve each equation using the division and multiplication properties of equality and check the solution. 549. 1112=23yIn the following exercises, solve each equation requiring simplification. 550. 5r3r+9r=352In the following exercises, solve each equation requiring simplification. 551. 24x+8x11x=714In the following exercises, solve each equation requiring simplification. 552. 1112n56n=95In the following exercises, solve each equation requiring simplification. 553. 9(d2)15=24In the following exercises, translate to an equation and then solve. 554. 143 is the product of 11 and y.In the following exercises, translate to an equation and then solve. 555. The quotient of b and and9 is 27 .In the following exercises, translate to an equation and then solve. 556. The sum of q and one-fourth is one.In the following exercises, translate to an equation and then solve. 557. The difference of s and one-twelfth is one fourth.In the following exercises, translate into an equation and solve. 558. Ray paid $21 for 12 tickets at the county fair. What was the price of each ticket?In the following exercises, translate into an equation and solve. 559. Janet gets paid $24 per hour. She heard that this is 34 of what Adam is paid. How much is Adam paid per hour?In the following exercises, solve the following equations with constants on both sides. 560. 8p+7=47In the following exercises, solve the following equations with constants on both sides. 561. 10w5=65In the following exercises, solve the following equations with constants on both sides. 562. 3x+19=47In the following exercises, solve the following equations with constants on both sides. 563. 32=49nIn the following exercises, solve the following equations with variables on both sides. 564. 7y=6y13In the following exercises, solve the following equations with variables on both sides. 565. 5a+21=2aIn the following exercises, solve the following equations with variables on both sides. 566. k=6k35In the following exercises, solve the following equations with variables on both sides. 567. 4x38=3xIn the following exercises, solve the following equations with variables and constants on both sides. 568. 12x9=3x+45In the following exercises, solve the following equations with variables and constants on both sides. 569. 5n20=7n80In the following exercises, solve the following equations with variables and constants on both sides. 570. 4u+16=19uIn the following exercises, solve the following equations with variables and constants on both sides. 571. 58c4=38c+4In the following exercises, solve each linear equation. 572. 6(x+6)=24In the following exercises, solve each linear equation. 573. 9(2p5)=72In the following exercises, solve each linear equation. 574. (s+4)=18In the following exercises, solve each linear equation. 575. 8+3(n9)=17In the following exercises, solve each linear equation. 576. 233(y7)=8In the following exercises, solve each linear equation. 577. 13(6m+21)=m7In the following exercises, solve each linear equation. 578. 4(4.35y+0.25)=365In the following exercises, solve each linear equation. 579. 0.25(q8)=0.1(q+7)In the following exercises, solve each linear equation. 580. 8(r2)=6(r+10)In the following exercises, solve each linear equation. 581. 5+7(25x)=2(9x+1)(13x57)In the following exercises, solve each linear equation. 582. (9n+5)(3n7)=20(4n2)In the following exercises, solve each linear equation. 583. 2[16+5(8k6)]=8(34k)32In the following exercises, classify each equation as a conditional equation, an identity, or a contradiction and then state the solution. 584. 17y3(42y)=11(y1)+12y1In the following exercises, classify each equation as a conditional equation, an identity, or a contradiction and then state the solution. 585. 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. 586. 8(7m+4)=6(8m+9)In the following exercises, classify each equation as a conditional equation, an identity, or a contradiction and then state the solution. 587. 21(c1)19(c+1)=2(c20)In the following exercises, solve each equation with fraction coefficients. 588. 25n110=710In the following exercises, solve each equation with fraction coefficients. 589. 13x+15x=8In the following exercises, solve each equation with fraction coefficients. 590. 34a13=12a56In the following exercises, solve each equation with fraction coefficients. 591. 12(k3)=13(k+16)