7th Grade Math

Practice

Chapter Test

Solve each equation. Check your solution.

1. x + 5 = - 8 2. y - 11 = 15


2. 12 = z + 14 4. 13 = t - 13


3. s + 1.5 = 2.7 6. 31 + r = 65


4. FLOWERS The number of tulips in Paula’s
   garden is 8 less than the number of
   marigolds. If there are 16 tulips, write and
   solve an equation to determine the number
   of marigolds m.


5. PIZZA Chris and Heladio shared a pizza.
   Chris ate two more than twice as many
   pieces as Heladio, who ate 3 pieces. If there
   were 3 pieces left, how many pieces were
   there initially? Use the work backward
   strategy.

Solve each equation. Check your solution.

9. 9 z = - 81 10. - 6 k = - 72


10. 4 = 8 n 12. 120 = _a 2


11. 27 = _b 3 14. 3.3 = _c 3


12. PHONE Susie’s phone
    I-Call Wireless
    15¢ per
    minute

service is $0.15 per

minute of use.

Write and solve an

equation to find

how long she can

talk for $5.00.

16. MULTIPLE CHOICE Which of the following
    equations does NOT have a solution of 3?
    A. 3 x = 9
    B. x 5 = 15
    C. 21 = 7 x
    D. 31 x = 1

Solve each equation. Check your solution.

17. -0.5m = - 10 18. -14.2 = - 7.1t


18. 
    
    
    
    • 91 t = 7 20. 6 = - ^34 x
    
    
    
    


19. 
    
    
    
    • 6 k + 4 = - 38 22. 3 z - 7 = 17
    
    
    
    


20. 4 x + 9 = 7 x 24. 2 y - 6 = 7 y + 24


21. ROLLER COASTERS The track length of a
    popular roller coaster is 5,106 feet. The
    roller coaster has an average speed of
    about 2,000 feet per minute. At that speed,
    how long will it take to travel its length of
    5,106 feet? Round to the nearest tenth. Use
    the formula d = rt.

Solve each inequality. Check your solution.

26. 
    
    
    
    • 6 < _ 5 r 27. 3 x ≥ - 27
    
    
    
    


27. 6 h - 6 < 30 29. 9 - 2 c ≤ 55


28. MONEY Keiko has $17 in savings. She
    receives an $11 weekly allowance. Write and
    solve an inequality to find the least amount
    of weeks it will take her to save $72.


29. EXTENDED RESPONSE A taxicab
    company charges $2 plus $1.25 for
    each mile of a trip.
    Part A Write the expression for a trip of
    m miles.
    Part B Write an equation to fi nd the
    number of miles if the trip is $12.
    Part C How many miles was the trip?
    Part D Another taxicab company
    advertises $1.50 plus $1.60 per mile.
    If a taxicab ride is 2 miles long, is this
    company less expensive than the fi rst
    company? Explain.

258 Equations and Inequalities

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