The admission fee to an amusement park is $28. It costs an additional p dollars to rent a locker to hold your belongings. The total cost for 5 people ...
Solve the equation. Determine whether the equation has one solution, no solution, or infinitely many solutions. 12. 4c − 20 = −20 + 4c
14. 8 ( 5z − 7 ) = −4 ( −10z + 14 )
15. 2 ( 1 − 8x) =
1 ( 8 − 64x) 4
16. The admission fee to an amusement park is $28. It costs an additional p dollars to rent a locker to hold your belongings. The total cost for 5 people to enter the amusement park and each rent a locker is $180. How much does it cost for one person to rent a locker?
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Name: ________________________
ID: A 21. d ÷ 9 = 8
17. Membership to a music club costs $120. Members pay $20 per music lesson and nonmembers pay $35 per music lesson. How many music lessons would have to be taken for the cost to be the same for members and nonmembers?
Write and solve an equation to answer the question. 22. You work at a carnival for 7.5 hours. You earn $71.25. How much do you earn per hour?
Solve the equation. Graph the solution(s), if possible. 18. |8x| = 24
23. The temperature of dry ice is –109.8°F. This is 184.4°F less than the outside temperature. What is the outside temperature? Solve the equation. Justify each step. 19. y + 17 = 13
Solve the literal equation for y. 24. y − x = −6 20. −7h = 49
25. 4 = 5x + 6y
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ID: A
Chapter 1 Review Answer Section 1. ANS: h= 3 PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 1.1 NAT: HSA-REI.B.3 KEY: equation | linear equations in one variable | solution of an equation | solving simple linear equations | solving equations by multiplying or dividing NOT: Example 2 2. ANS: k = –63 PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 1.1 NAT: HSA-REI.B.3 KEY: equation | linear equations in one variable | solution of an equation | solving simple linear equations | solving equations by multiplying or dividing NOT: Example 2 3. ANS: w = –15 PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 1.2 NAT: HSA-REI.B.3 KEY: equation | linear equations in one variable | solution of an equation | solving multi-step linear equations NOT: Example 1 4. ANS: n = –10 PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 1.2 NAT: HSA-REI.B.3 KEY: equation | linear equations in one variable | solution of an equation | solving multi-step linear equations NOT: Example 2 5. ANS: b = 12 PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 1.2 NAT: HSA-REI.B.3 KEY: equation | linear equations in one variable | solution of an equation | solving multi-step linear equations NOT: Example 2 6. ANS: y = –1 PTS: NAT: KEY: NOT:
1 DIF: Level 1 REF: Algebra 1 Sec. 1.2 HSA-REI.B.3 equation | linear equations in one variable | solution of an equation | solving multi-step linear equations Example 3
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ID: A 7. ANS: k = 3 PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 1.3 NAT: HSA-REI.B.3 KEY: solving linear equations with variables on both sides | one solution | equation | solution of an equation | linear equations in one variable NOT: Example 2 8. ANS: d = −5 PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 1.3 NAT: HSA-REI.B.3 KEY: solving linear equations with variables on both sides | one solution | equation | solution of an equation | linear equations in one variable NOT: Example 2 9. ANS: y = 8, y = 2 PTS: 1 DIF: Level 1 NAT: HSA-REI.B.3 NOT: Example 2 10. ANS: 1 11 x=− ,x= − 2 2
REF: Algebra 1 Sec. 1.4 KEY: absolute value equation | solving absolute value equations
PTS: 1 DIF: Level 1 NAT: HSA-REI.B.3 NOT: Example 2 11. ANS: 26 x = 2, x = 3
REF: Algebra 1 Sec. 1.4 KEY: absolute value equation | solving absolute value equations
PTS: 1 DIF: Level 1 NAT: HSA-REI.B.3 NOT: Example 2 12. ANS: infinitely many solutions
REF: Algebra 1 Sec. 1.4 KEY: absolute value equation | solving absolute value equations
PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 1.3 NAT: HSA-REI.B.3 KEY: solving linear equations with variables on both sides | infinitely many solutions | equation | no solution | linear equations in one variable | solution of an equation NOT: Example 3 13. ANS: infinitely many solutions PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 1.3 NAT: HSA-REI.B.3 KEY: solving linear equations with variables on both sides | infinitely many solutions | equation | no solution | linear equations in one variable | solution of an equation NOT: Example 3 2
ID: A 14. ANS: infinitely many solutions PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 1.3 NAT: HSA-REI.B.3 KEY: solving linear equations with variables on both sides | infinitely many solutions | equation | no solution | linear equations in one variable | solution of an equation NOT: Example 3 15. ANS: infinitely many solutions PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 1.3 NAT: HSA-REI.B.3 KEY: solving linear equations with variables on both sides | infinitely many solutions | equation | no solution | linear equations in one variable | solution of an equation NOT: Example 3 16. ANS: $8 PTS: NAT: KEY: NOT: 17. ANS: 8
1 DIF: Level 1 REF: Algebra 1 Sec. 1.2 HSN-Q.A.1 | HSA-CED.A.1 | HSA-REI.B.3 equation | linear equations in one variable | application | solving multi-step linear equations Example 5-1
PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 1.3 NAT: HSA-CED.A.1 | HSA-REI.B.3 KEY: solving linear equations with variables on both sides | one solution | equation | solution of an equation | linear equations in one variable | application NOT: Example 4-1 18. ANS: x = 3, x = −3;
PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 1.4 NAT: HSA-REI.B.3 KEY: absolute value equation | solving absolute value equations | graphing absolute value solutions NOT: Example 1 19. ANS: y = –4; Subtract 17 from each side. PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 1.1 NAT: HSA-REI.A.1 | HSA-REI.B.3 KEY: equation | linear equations in one variable | solution of an equation | solving simple linear equations | solving equations by adding or subtracting NOT: Example 1
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ID: A 20. ANS: h = –7; Divide each side by –7. PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 1.1 NAT: HSA-REI.A.1 | HSA-REI.B.3 KEY: equation | linear equations in one variable | solution of an equation | solving simple linear equations | solving equations by dividing NOT: Example 2 21. ANS: d = 72; Multiply each side by 9. PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 1.1 NAT: HSA-REI.A.1 | HSA-REI.B.3 KEY: equation | linear equations in one variable | solution of an equation | solving simple linear equations | solving equations by multiplying NOT: Example 2 22. ANS: 7.5x = 71.25; $9.50 PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 1.1 NAT: HSA-CED.A.1 | HSA-REI.B.3 KEY: application | equation | linear equations in one variable | solving simple linear equations | solving equations by multiplying or dividing NOT: Example 3 23. ANS: T − 184.4 = −109.8; 74.6°F PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 1.1 NAT: HSA-CED.A.1 | HSA-REI.B.3 KEY: application | equation | linear equations in one variable | solving simple linear equations | solving equations by adding or subtracting NOT: Example 4-1 24. ANS: y = −6 + x PTS: 1 DIF: Level 1 NAT: HSA-CED.A.4 NOT: Example 1 25. ANS: 2 5 y= – x 3 6