This document appears to be a math test containing 25 multiple choice questions covering order of operations, evaluating expressions, properties of operations, solving equations, and simplifying algebraic expressions. The questions progress from basic order of operations to more advanced topics involving variables, properties, and multi-step simplifications. The final bonus question asks students to write an expression for the perimeter of a polygon shown.

1. Unit 3 Math Test
November 5, 2012
Math 7

2. 1) Using order of operations, which
step would be performed first in the
following expression?
4(4 - 8²) – 12 ÷ 3
A) 4 - 8 C) 12 ÷ 3
B) 8² D) 4 - 8²

3. 2) In which step of the Order of
Operations would you complete
any absolute values?
F) Parentheses
G) Multiplication
H) Subtraction
J) Exponents

4. 3) In which step of the Order of
Operations would you complete
any square roots?
A) Parentheses
B) Multiplication
C) Subtraction
D) Exponents

5. 4) Evaluate:
20 – (-12) ÷ 4
F) 8 H) 23
G) 17 J) 2

6. 5) Evaluate:
-24 ÷ 2 – 3 ● 6
A) 6 C) 30
B) -6 D) -30

7. 6) Evaluate:
(-4)² + (-3) ● 2 – 8

8. 7) Evaluate:
 12  7  2
F) 38
G) 2
H) 26
J) -10

9. 8) Evaluate:
64  24  (3)   12

10. 9) Which one of the following is
NOT true?
A) -12 + 7 ● 3 = -15
B) 15 - 8² = -1
C) -3●(7 – 4) = -9
D) -8 + 7 – 9 + 6 = -4

11. 10)
Evaluate if a= -3, b=6, and c= -9
ca – b

12. 11) Evaluate if m=(-4) and x=(-9):
mx
9
3

13. 12) Edwin was evaluating the expression
below when a=4 and b=(-8) .
His work is shown in the box below.
What should Edwin do to correct the error that
he made? Explain using complete sentences.

14. 13) In the expression 3x + 7, which
is the coefficient and which is
the constant?
Coefficient ________
Constant ________

15. 14) Which phrase below is equivalent
to 2h – 3 = -12?
F) The quotient of two and a number less three
is negative twelve.
G) Three less than negative twelve is two times a
number, h.
H) Three subtracted from twice a number is
negative twelve.
J) The product of two and three times a number
is twelve.

16. 15) Which verbal expression
below matches the algebraic
expression: m ÷ 4 + 7
A) 7 more than the product of m and 4
B) The quotient of four and m plus 7
C) The product of m and 4 plus 7
D) The quotient of m and 4 plus 7

17. 16) Choose all expressions below that
are equivalent to:
Four more than the quotient of a
number and 7.
7
F) 4 H) 7 n 4
n
n
G) 4 J) n ÷ 7 + 4
7

18. 17) Ricardo drives from Los
Angeles to Phoenix in 9 hours.
If he drove 65 mph the entire
time, how far did he drive?

19. 18) Which of the following does
not show the commutative
property?
A) 3 + 7 = 7 + 3
B) -8 ● 3 = 3 ● -8
C) (4 + 6) + 9 = 4 + (6 + 9)
D) (2 ● 3) ● 6 = (3 ● 2) ● 6

21. 20) Use the distributive property
to simplify the following
expression:
(4m + 6)2 - 12

22. 21) Amelia was trying to find the mistake
in her problem. What did she do
incorrectly when using the distributive
property? Explain in complete sentences
and correct her error to find the right
answer.
2(-3 + 7 – 4) = 2(-3) + 2(7) – 4
-6 + 14 – 4
8–4
4

23. 22) Circle the like terms in the
expression below:
4x – 3y + 6 – 12y

24. 23) Simplify the expression below:
2a + 4 + 2a + 9

25. 24) Simplify the expression below:
-2(2w – 5) – 4w

26. 25) Which represents the
simplified form of the
expression below?
-3(6 – 2g) – 3g
A) -18 + 3g C) 18 + 3g
B) -18 – 9g D) -18 – 3g

27. **BONUS!**
Write an expression in simplest form
that represents the perimeter of the
polygon. SHOW YOUR WORK!
4x – 1
8x + 1
8x
11x
8x – 4