Problem 513RE: In the following exercises, determine the values for which the rational expression is undefined.... Problem 514RE: In the following exercises, determine the values for which the rational expression is undefined.... Problem 515RE: In the following exercises, determine the values for which the rational expression is undefined.... Problem 516RE: In the following exercises, determine the values for which the rational expression is undefined.... Problem 517RE: In the following exercises, evaluate the rational expressions for the given values. 517. 4p1p2+5... Problem 518RE: In the following exercises, evaluate the rational expressions for the given values. 518. q25q+3 when... Problem 519RE: In the following exercises, evaluate the rational expressions for the given values. 519. y28y2y2... Problem 520RE: In the following exercises, evaluate the rational expressions for the given values. 520. z2+z4zz2... Problem 521RE: In the following exercises, simplify. 521. 1024 Problem 522RE: In the following exercises, simplify. 522. 8m416mn3 Problem 523RE: In the following exercises, simplify. 523. 14a14a1 Problem 524RE: In the following exercises, simplify. 524. b2+7b+12b2+8b+16 Problem 525RE: In the following exercises, simplify. 525. c2c24c2 Problem 526RE: In the following exercises, simplify. 526. d1616d Problem 527RE: In the following exercises, simplify. 527. 7v3525v2 Problem 528RE: In the following exercises, simplify. 528. w23w2849w2 Problem 529RE: In the following exercises, multiply. 529. 38215 Problem 530RE: In the following exercises, multiply. 530. 2xy28y316y24x Problem 531RE: In the following exercises, multiply. 531. 3a2+21aa2+6a7a1ab Problem 532RE: In the following exercises, multiply. 532. 5z25z2+40z+35z213z Problem 533RE: In the following exercises, divide. 533. t24t+12t2+8t+12t2366t Problem 534RE: In the following exercises, divide. 534. r2164r3642r28r+32 Problem 535RE: In the following exercises, divide. 535. 11+ww9121w29w Problem 536RE: In the following exercises, divide. 536. 3y212y634y+3(6y242y) Problem 537RE: In the following exercises, divide. 537. c2643c2+26c+16c24c3215c+10 Problem 538RE: In the following exercises, divide. 538. 8m28mm4m2+2m24m2+7m+102m26mm+5 Problem 539RE: In the following exercises, add. 539. 35+25 Problem 540RE: In the following exercises, add. 540. 4a22a112a1 Problem 541RE: In the following exercises, add. 541. p2+10pp+5+25p+5 Problem 542RE: In the following exercises, add. 542. 3xx1+2x1 Problem 543RE: In the following exercises, subtract. 543. d2d+43d+28d+4 Problem 544RE: In the following exercises, subtract. 544. z2z+10100z+10 Problem 545RE: In the following exercises, subtract. 545. 4q2q+3q2+6q+53q2q6q2+6q+5 Problem 546RE: In the following exercises, subtract. 546. 5t+4t+3t2254t28t32t225 Problem 547RE: In the following exercises, add and subtract. 547. 18w6w1+3w216w Problem 548RE: In the following exercises, add and subtract. 548. a2+3aa243a84a2 Problem 549RE: In the following exercises, add and subtract. 549. 2b2+3b15b249b2+16b149b2 Problem 550RE: In the following exercises, add and subtract. 550. 8y210y+72y5+2y2+7y+252y Problem 551RE: In the following exercises, find the LCD. 551. 4m23m10,2mm2m20 Problem 552RE: In the following exercises, find the LCD. 552. 6n24,2nn24n+4 Problem 553RE: In the following exercises, find the LCD. 553. 53p2+17p6,2m3p223p8 Problem 554RE: In the following exercises, rewrite as equivalent rational expressions with the given denominator.... Problem 555RE: In the following exercises, rewrite as equivalent rational expressions with the given denominator.... Problem 556RE: In the following exercises, rewrite as equivalent rational expressions with the given denominator.... Problem 557RE: In the following exercises, add. 557. 23+35 Problem 558RE: In the following exercises, add. 558. 75a+32b Problem 559RE: In the following exercises, add. 559. 2c2+9c+3 Problem 560RE: In the following exercises, add. 560. 3dd29+5d2+6d+9 Problem 561RE: In the following exercises, add. 561. 2xx2+10x+24+3xx2+8x+16 Problem 562RE: In the following exercises, add. 562. 5qp2qp2+4qq21 Problem 563RE: In the following exercises, subtract and add. 563. 3vv+2v+2v+8 Problem 564RE: In the following exercises, subtract and add. 564. 3w15w2+w20w+24w Problem 565RE: In the following exercises, subtract and add. 565. 7m+3m+25 Problem 566RE: In the following exercises, subtract and add. 566. nn+3+2n3n9n29 Problem 567RE: In the following exercises, subtract and add. 567. 8dd2644d+8 Problem 568RE: In the following exercises, subtract and add. 568. 512x2y+720xy3 Problem 569RE: In the following exercises, simplify. 569. 5a+210a2a24 Problem 570RE: In the following exercises, simplify. 570. 25+5613+14 Problem 571RE: In the following exercises, simplify. 571. x3xx+51x+5+1x5 Problem 572RE: In the following exercises, simplify. 572. 2m+mnnm1n Problem 573RE: In the following exercises, simplify. 573. 6+2q45q+4 Problem 574RE: In the following exercises, simplify. 574. 3a21b1a+1b2 Problem 575RE: In the following exercises, simplify. 575. 2z249+1z+79z+7+12z7 Problem 576RE: In the following exercises, simplify. 576. 3y24y322y8+1y+4 Problem 577RE: In the following exercises, solve. 577. 12+23=1x Problem 578RE: In the following exercises, solve. 578. 12m=8m2 Problem 579RE: In the following exercises, solve. 579. 1b2+1b+2=3b24 Problem 580RE: In the following exercises, solve. 580. 3q+82q2=1 Problem 581RE: In the following exercises, solve. 581. v15v29v+18=4v3+2v6 Problem 582RE: In the following exercises, solve. 582. z12+z+33z=1z Problem 583RE: In the following exercises, solve for the indicated variable. 583. vl=hw for l Problem 584RE: In the following exercises, solve for the indicated variable. 584. 1x2y=5 for y Problem 585RE: In the following exercises, solve for the indicated variable. 585. x=y+5z7 for z Problem 586RE: In the following exercises, solve for the indicated variable. 586. P=kV for V Problem 587RE: In the following exercises, solve. 587. x4=35 Problem 588RE: In the following exercises, solve. 588. 3y=95 Problem 589RE: In the following exercises, solve. 589. ss+20=37 Problem 590RE: In the following exercises, solve. 590. t35=t+29 Problem 591RE: In the following exercises, solve using proportions. 591. Rachael had a 21 ounce strawberry shake... Problem 592RE: In the following exercises, solve using proportions. 592. Leo went to Mexico over Christmas break... Problem 593RE: In the following exercises, solve. 593. ABC is similar to XYZ. The lengths of two sides of each... Problem 594RE: In the following exercises, solve. 594. On a map of Europe, Paris, Rome, and Vienna form a triangle... Problem 595RE: In the following exercises, solve. 595. Tony is 5.75 feet tall. Late one afternoon, his shadow was 8... Problem 596RE: In the following exercises, solve. 596. The height of a lighthouse in Pensacola, Florida is 150... Problem 597RE: In the following exercises, solve. 597. When making the 5-hour drive home from visiting her parents,... Problem 598RE: In the following exercises, solve. 598. Mark is riding on a plane that can fly 490 miles with a... Problem 599RE: In the following exercises, solve. 599. John can ride his bicycle 8 mph faster than Luke can ride... Problem 600RE: In the following exercises, solve. 600. Mark was training for a triathlon. He ran 8 kilometers and... Problem 601RE: In the following exercises, solve. 601. Jerry can frame a room in 1 hour, while Jake takes 4 hours.... Problem 602RE: In the following exercises, solve. 602. Lisa takes 3 hours to mow the lawn while her cousin, Barb,... Problem 603RE: In the following exercises, solve. 603. Jeffrey can paint a house in 6 days, but if he gets a helper... Problem 604RE: In the following exercises, solve. 604. Sue and Deb work together writing a book that takes them 90... Problem 605RE: In the following exercises, solve. 605. If y varies directly as x, when y=9 and x=3 , find x when... Problem 606RE: In the following exercises, solve. 606. If y varies inversely as x, when y=20 and x=2 find y when... Problem 607RE: In the following exercises, solve. 607. If m varies inversely with the square of n , when m=4 and... Problem 608RE: In the following exercises, solve. 608. Vanessa is traveling to see her fiancé. The distance, d,... Problem 609RE: In the following exercises, solve. 609. If the cost of a pizza varies directly with its diameter,... Problem 610RE: In the following exercises, solve. 610. The distance to stop a car varies directly with the square... Problem 611RE: In the following exercises, solve. 611. The number of tickets for a music fundraiser varies... Problem 612RE: In the following exercises, solve. 612. On a string instrument, the length of a string varies... Problem 613PT: In the following exercises, simplify. 613. 3a2b6ab2 Problem 614PT: In the following exercises, simplify. 614. 5b25b225 Problem 615PT: In the following exercises, perform the indicated operation and simplify. 615. 4xx+2x2+5x+612x2 Problem 616PT: In the following exercises, perform the indicated operation and simplify. 616. 5y4y8y2410 Problem 617PT: In the following exercises, perform the indicated operation and simplify. 617. 4pq+5p Problem 618PT: In the following exercises, perform the indicated operation and simplify. 618. 1z93z+9 Problem 619PT: In the following exercises, perform the indicated operation and simplify. 619. 23+3525 Problem 620PT: In the following exercises, perform the indicated operation and simplify. 620. 1m1n1n+1m Problem 621PT: In the following exercises, solve each equation. 621. 12+27=1x Problem 622PT: In the following exercises, solve each equation. 622. 5y6=3y+6 Problem 623PT: In the following exercises, solve each equation. 623. 1z5+1z+5=1z225 Problem 624PT: In the following exercises, solve each equation. 624. t4=35 Problem 625PT: In the following exercises, solve each equation. 625. 2r2=3r1 Problem 626PT: In the following exercises, solve. 626. If y varies directly with x, and x=5 when y=30 , find x when... Problem 627PT: In the following exercises, solve. 627. If y varies inversely with x and x=6 when y=20 , find y when... Problem 628PT: In the following exercises, solve. 628. If y varies inversely with the square of x and x=3 when y=9... Problem 629PT: In the following exercises, solve. 629. The recommended erythromycin dosage for dogs, is 5 mg for... Problem 630PT: In the following exercises, solve each equation. 630. Julia spent 4 hours Sunday afternoon... Problem 631PT: In the following exercises, solve. 631. Kurt can ride his bike for 30 miles with the wind in the... Problem 632PT: In the following exercises, solve. 632. Amanda jogs to the park 8 miles using one route and then... Problem 633PT: In the following exercises, solve. 633. An experienced window washer can wash all the windows in... Problem 634PT: In the following exercises, solve. 634. Josh can split a truckload of logs in 8 hours, but working... Problem 635PT: In the following exercises, solve. 635. The price that Tyler pays for gas varies directly with the... Problem 636PT: In the following exercises, solve. 636. The volume of a gas in a container varies inversely with the... Problem 637PT: In the following exercises, solve. 637. The cities of Dayton, Columbus, and Cincinnati form a... format_list_bulleted