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Unit 4 A Study Guide – One-Step Equations and Inequalities
_____ 1. Is 5 the solution for 3x + 4 = 19?
A. yes
B. no
_____ 2. Is 2 the solution for 11 - x = 7?
A. yes
B. no
_____ 3. Which equation has x = 9 as the solution?
A. 4 + x = 12
B. 5x = 45
C. 2x = 20
D. x + 7 = 26
_____ 4. Which equation has x = 2 as the solution?
A. 3 + x = 10
B. 11 + x = 13
C. 4x = 32
D. 5x = 25
_____ 5. Solve t + 6 = 14
A. t = 8
B. t = 20
C. t = 21
D. t = 84
B. v = 10
C. v = 15
D. v = 25
B. w = 7
C. w = 42
D. w = 56
B. x = 8.1
C. x = 17.1
D. x = 56.7
C. x = 18
D. x = 19
B. x = 8.2
C. x = 8.8
D. x = 11.5
B. x = 4.5
C. x = 14
_____ 6. Solve v + 5 = 20
A. v = 5
_____ 7. Solve 7w = 49
A. w = 2
_____ 8. Solve 4.5x = 12.6
A. x = 2.8
_____ 9. Solve
12 = x + 7
A. x = 5
_____ 10. Solve
A.
8.5 = x + 3
x = 5.5
_____ 11. Solve
A.
B. x = 6
x=4
18 = 4x
D. x = 72
_____ 12. Solve
A.
73 = x + 61
x = 12
B. x = 61
C. x = 73
D. x = 134
B. x = 80
C. x = 40
D. x = 20
_____ 13. Solve ½ x = 40
A.
x = 90
_____ 14. May paid $34 for 8 bottles of lotion. If x represents the cost of one bottle of lotion,
which equation could be used to find the cost of ONE bottle of lotion?
A. 34x = 8
B.
8x = 34
C. x + 8 = 34
D.
34 + 8 = x
_____ 15. Sarah is 6 years younger than her brother, George. If Sarah is 10, which equation represents
George’s age?
A. g – 6 = 10
B. g + 6 = 10
C.
10 - g = 6
D.
g + 10 = 6
_____16. Ryan puts $10 worth of gas in his lawnmower. The price per gallon was $2.00. Which equation can
be used to find the number of gallons Ryan purchased?
a. 2g = 10
b.
2 + g = 10
c. 10 = g – 2
d. 20g = 10
_____17. Use the equation you chose in #16 to determine the number of gallons Frank purchased.
a. 2
b. 5
c. 10
d. 20
_____18. Lucy bought $20 more in Christmas gifts this year than she did last year. If she spent $234 this year,
choose an equation that will determine the amount spent last year.
a. 20x = 234
b. 20 + x = 234
c. x + 234 = 20
d. 234x = 20
19. The difference in a number and 13 is 28. Write an equation and solve. Explain or show how you
would solve your equation.
20. Eliza has $16 in her pocket. She buys a candy bar for $2 and a newspaper. When she left the store, the
cashier gave her $12.25 in change. Determine the cost of the magazine. Explain how to solve this
problem by drawing pictures, explaining in words, or writing an equation.