Real Numbers
Inequalities
Add/Subtract Integers
Multiply/Divide Integers
100
All of the following statements have the same value except _____.
(a) the opposite of six
(b) negative six
(c) the absolute value of six
(d) six below zero
(c) the absolute value of six = 6
the opposite of six = -6
negative six = -6
six below zero = -6
100
Which of the following statements is not true?
(a) Every real number is either rational or irrational.
(b) Every whole number is a natural number.
(c) Every integer is a rational number.
(d) Some rational numbers are whole numbers.
The following statement is not true:
(b) Every whole number is a natural number.
100
Add -4 + (-15)
(a) 19
(b) -19
(c) -11
(d) 11
(b) -4 + (-15) = -19
100
Find the quotient of -16 and 4.
(a) -64
(b) 64
(c) -4
(d) 4
(c) -16 divided by 4 = -4
200
How would you graph the result of -3 + 5 as a point on the number line?
(a) two places to the right of zero
(b) two places to the left of zero
(c) eight places to the right of zero
(d) eight places to the left of zero
-3 + 5 = 2
(a) two places to the right of zero
200
Which of the following statements is true?
(a) The value π is a rational number.
(b) The number 0 is a natural number.
(c) The number 
is an integer.
(d) The number -5 is a real number.
The following statement is true:
(d) The number -5 is a real number.
200
Add 7 + (-12)
(a) 19
(b) -19
(c) 5
(d) -5
(d) 7 + (-12) = -5
200
Which of the following statements is true?
(a) The quotient of two negative numbers is negative.
(b) The product of two negative numbers is positive.
(c) The quotient of a positive number and a negative number is positive.
(d) The product of two positive numbers is negative.
(b) It is true that the product of two negative numbers is positive.
300
Use the number line to determine which of the following statements is true. Each tick is 1 unit.
(a) The quotient of P and S is positive.
(b) The absolute values of Q and R are the same.
(c) Q and S are opposite numbers.
(d) The product of R and S is negative.
(b) The absolute values of Q and R are the same.
Q = -1, the absolute value of -1 = 1
R = 1, the absolute value of 1 = 1
300
Which of the following inequalities is not true?
(a) -22 < 3
(b) |-1| ≥ 0
(c) |-9| ≠ |9|
(d) -7 ≤ -5
The following inequality is not true:
(c) |-9| ≠ |9|
|-9| = 9
|9| = 9
It is true that |-9| = |9|
300
Subtract -6 - 10
(a) -16
(b) 16
(c) 4
(d) -4
(a) Subtract -6 - 10
-6 - 10 = (-6) + (-10) = -16
300
Find the product of -9 and -3
(a) 27
(b) -27
(c) 3
(d) -3
(a) -9 x -3 = 27
400
Determine which of the following lists is in order from smallest to largest.
(a) 0, -3, |3|, (-3)2
(b) -3, |3|, 0, (-3)2
(c) (-3)2, -3, 0, |3|
(d) -3, 0, |3|, (-3)2
(d) The following is in order from smallest to largest: -3, 0, |3|, (-3)2 or -3, 0, 3, 9
400
Which of the following statements correctly uses the distributive property?
(a) -3(12 + 5) = -3(12) - (-3)(5)
(b) 7(9 - 8) = 7(9) - 8
(c) -2(15 - 3) = -2(15) + (-2)(3)
(d) 9(-7 + 6) = 9(-7) + 9(6)
(d) 9(-7 + 6) = 9(-7) + 9(6)
The distributive property says that multiplying a single number by an expression in parentheses is the same as multiplying that single number by each part of the expression in parentheses and adding the products together.
400
Which of the following expressions could be used to represent "the difference between -17 and -8"?
(a) -8 - (-17)
(b) -17 - 8
(c) -17 - (-8)
(d) -8 + (-17)
The following expression could be used to represent "the difference between -17 and -8":
(c) -17 - (-8)
400
Which of the following statements demonstrates the associative property of multiplication?
(a) 4 · (3 · 6) = (4 · 3) · 6
(b) 6 · 4 = 4 · 6
(c) -3 · 1 = -3
(d) 2(24) = 2(20 + 4)
(a) The following statement demonstrates the associative property of multiplication:
4 · (3 · 6) = (4 · 3) · 6
500
Simplify -62 ÷ 12 - 2(-7)
(a) -17
(b) 35
(c) 11
(d) -35
(c) Use Order of Operations: Parentheses, Exponents, Multiply and Divide (from left to right), Add and Subtract (from left to right).
-62 ÷ 12 - 2(-7)
-36 ÷ 12 -(-14)
-3 -(-14)
-3 + 14
14 - 3 = 11
500
Find the value of |-8| + 4(-5 + 9) ÷ 2.
(a) 16
(b) 12
(c) 24
(d) 0
(a) Use Order of Operations: Parentheses, Exponents, Multiply and Divide (from left to right), Add and Subtract (from left to right).
|-8| + 4(-5 + 9) ÷ 2
8 + 4(4) ÷ 2
8 + 16 ÷ 2
8 + 8 = 16
500
Which of the following properties states that the order of the addends may be switched without affecting the sum?
(a) associative property of addition
(b) distributive property
(c) commutative property of addition
(d) identity property of addition
(c) The commutative property of addition states that the order of the addends may be switched without affecting the sum.
500
Three friends owe $18 to another friend for gas. If they plan to split the cost evenly, which of the following expressions could they use to find how much they each owe?
(a) 18 ÷ 3
(b) 18 ÷ -3
(c) -18 ÷ -3
(d) -18 ÷ 3
(d) split the cost evenly means to divide
owe $18 = -18
three friends = 3
So, use the expression, -18 ÷ 3