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DUE: __________
th
7 Grade Math
Unit 3 Review
Rational Reasoning
Date:____________________ Class:____________________
Name:___________________________
Tell which property is represented: Associative, Commutative, Distributive or Identity
________________1. 8 + 0 = 8
_________________2. 11 + 25 = 25 + 11
________________3. 5 + (6 + 7) = (5 + 6) + 7
_________________4. 5(4+6) = 5(4) + 5(6)
Evaluate each expression for the given value of the variable.
_________________6. 108 – 12j + j for j=9
________________5. 10b -9 for b=2
Write each phrase as an algebraic expression.
________________7. 18 less than a number
_________________8. The quotient of a number and 21
________________9. Nine times a number
_________________10. The sum of 5 and a number
Solve and Check each equation.
_______________11. Y + 6 = 72
Solve:
Check:
_______________12. 81 = X – 102
Solve:
Check:
_______________13. 12 = 4X
Solve:
Check:
_______________14.
Solve:
Check:
h =9
22
Compare the integers: Use < or >.
_______________15.
64  |75|
________________16. |-4|  3
Find each sum, difference, product or quotient.
______________ 17. -8 + (-5)
________________ 18. -41 + 15
______________19. -4 – 10
________________ 20. -10 – (-7)
______________21. 4 x (-6)
________________ 22. -6 x (-8)
______________23. 81 ∕ (-9)
________________24. -45 / (-15)
Solve and Check each equation:
_______________25. 3n + 8 = 29
Solve:
Check:
_______________26. -4m – 7 = 17
Solve:
Check:
_______________27. 6 + m = 18
3
Solve:
Check:
_______________28. r - 7 = 8
Solve:
Check:
12
29. A coffee shop sells a ceramic refill mug for $8.95. Each refill costs $1.50. Last month Sally spent $26.95 on a mug
and refills. How many refills did she buy? _______________________
30. Two years of local internet service costs $685, including the installation fee of $85.00. What is the monthly fee?
_______________________
Find the Absolute Value.
31. Define absolute value.
Absolute value is __________________________________________________________________.
32. |5| =_______
33. |-12| = ________
34. - |-13| = ________
Identify the Property- Commutative, Associative, Identity, Distributive.
35. 6 x 7 = 7 x 6 _________________
36. 25 x 5 = 5 x 25 _______________
37. (7 + 2) + 5 = 7 + (2 + 5) ____________
38. 32 + 0 = 32 __________________
39. 4 x 1 = 4 _____________________
Combine Like Terms and Simplify.
40. 4x + 3x + 2y –y ___________________________________________
41. (5x + 3) + 2( x - 1 ) ________________________________________________
42. ( 3x - 2) – (5x +2) _________________________________________________
Order from Least to Greatest.
43. 5, 4, -3, ½, -8
44. -3/4, 1, 0, 2, -4
45.
-2.5, 2, .75, 5.5