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Question

1. You are given a problem that involves multiplying a positive number and a negative number. Which of the following are reasonable answers? Select all that apply.

6
-3
-2
4

2. Which of the following are reasonable answers for the product of two negative numbers and a positive number? Select all that apply.

-15
45
20
-40

3. What is the simplified form of the expression?
2x^2 + 4y + 3x^2 - 2y + 3y

5x^4 + 5y^2
5x^2y + 5x^2y
5x^2 + 5y
10x^2y

4. Simplify the following expression.
4(12x + 16)

64x + 48
48x + 64
12x + 64
48 x + 16

5. What is the product?
2 x (-7)

-9
-2
-14
14

6. Which property is illustrated? 8(-5/6) = (-5/6)8

Associative Property of Addition
Inverse Property of Multiplication
Commutative Property of Addition
Commutative Property of Multiplication

7. Which property is illustrated?
3.2 + 4 = 4 + 3.2

Associative Property of Addition
Commutative Property of Multiplication
Inverse Property of Multiplication
Commutative Property of Addition

8. Order the following numbers from least to greatest.
√2, -2/3, √11, 0.8, -0.2

√2, -0.2, -2/3, √11, 0.8
-2/3, -0.2, √2, √11, 0.8
-2/3, -0.2, 0.8, √2, √11
√2, √11, -0.2, -2/3, 5.1

9. Which number line can you use to simplify -2 + (-8)?

-2 + (-8) = -10
-2 + (-8) = -10
-2 + (-8) = -10
-2 + (-8) = -10

10. To which subsets of the real number does the number √7 belong?

rational numbers
irrational numbers
whole numbers, integers, rational numbers
whole numbers, natural numbers, integers

11. Which sum or difference is equivalent to the following expression?
15x - 20/5

15x - 4
10x - 15
3x - 4
3x - 20

12. What is the algebraic expression for the following word phrase: "the product of g and 4"?

g - 4
4g
g/4
g + 4

13. What is an algebraic expression for the following word phrase: "the quotient of 8 and the difference of x and m"?

8/x - m
8 - x/m
x - m/8
8 - x / m

14. What is the algebraic expression for the following word phrase: "the quotient of y and 6"?

y + 6
y/6
6y
6 - y

15. What is the difference?
-2 - 6

-8
-4
8
4

16. What is the simplified form of the expression √1/121

1/11
11
1/242
2/121

17. Which property is illustrated?
(wy)z = w(yz)

Associative Property of Multiplication
Commutative Property of Multiplication
Inverse Property of Multiplication
Commutative Property of Addition

18. Evaluate u/z + xy^2, for u = 20, x = 4, y = 7, and z = 10

786
198
294
900

19. What is the product? 4(-2) =

8
-6
2
-8

20. Simplify the expression. (4/7)^3

343/64
12/21
12/49
64/343

21. What word phrase can you use to represent the algebraic expression 3m?

3 plus a number m
3 minus a number m
3 times a number m
3 divided by a number m

22. What is the simplified form of the expression -(8d - 3w)?

8d + 3w
8d - 3w
-8d + 3w
-8d - 3w

23. What is the simplified form of the expression? 12[6^2 / (5^2 - 4^2) + 4]

96
16
148
48

24. Simplify the expression.
3xz/-2x

-3/2z
-3/2x
3/2x
3/2z

25. What is the value of x/y if x = -21 and y = -7?

-3
3
14
-14