Number Properties
Numerical Expressions
Algebraic Expressions
True/False Equations and Inequalities
1
Name the property shown by this equation:
1 + (9 + 2) = (1 + 9) + 2
Associative Property
1
Write these words as a numerical expression. Then, solve it.
Subtract 58 from 94, then divide by 4.
(94 – 58) ÷ 4 = 9
1
Evaluate the expression when g = 6
(g − 2) × 3
(6 − 2) × 3
4 × 3 = 12
1
Tell whether the equation is true or false for the given value of the variable.
False.
30 ÷ 5 = 7
7 ≠ 8
2
Complete the equation and identify the property:
56 x __ = 0
56 x 0 = 0
Multiplication Property of Zero
2
Write these words as a numerical expression. Then evaluate it.
Multiply 3 by the difference of 99 and 85.
3 × (99 – 85) = 42
2
Evaluate the expression when m=3 and n = 5
27 − m × n
27 − 3 × 5
27 – 15 = 12
2
Tell whether the equation is true or false for the given value of the variable.
True.
9 x 6 = 54
3
Solve this expression using the order of operations:
21 ÷ (2 + 1) − 5 = ______
21 ÷ (2 + 1) − 5
21 ÷ (3) − 5
7 − 5 = 2
3
Evaluate this expression:
36 + {[(7 + 5) ÷ 6 × 9] + 24}
36 + {[(7 + 5) ÷ 6 × 9] + 24}
36 + {[12 ÷ 6 × 9] + 24}
36 + {[2 × 9] + 24}
36 + {18 + 24}
36 + 42 = 78
3
Evaluate the expression when h=11.
15 + 9 × h
15 + 9 × 11
15 + 99 = 114
3
Tell whether the inequality is true or false for the given value of the variable.
True.
24 ÷ 3 = 8
8 < 9
4
Solve this expression using the order of operations:
4 × (36 – 6) ÷ 2 = ____
4 × (36 – 6) ÷ 2
4 × (30) ÷ 2
120 ÷ 2 = 60
4
Evaluate this expression:
[3 x (2 x 10 + 1)] ÷ 7
[3 x (2 x 10 + 1)] ÷ 7
[3 x (20 + 1)] ÷ 7
[3 x 21] ÷ 7
63 ÷ 7 = 9
4
Evaluate the expression when m=2 and n=36
48 ÷ (m × 6) + n
48 ÷ (2 × 6) + 36
48 ÷ 12 + 36
4 + 36 = 40
4
Tell whether the equation is true or false for the given value of the variable.
36 – 12 × m = 48; m=2
False.
36 – 12 × 2
36 – 24 = 12
12 ≠ 48
5
Solve this expression using the order of operations:
60 ÷ 4 + 2 × 1
60 ÷ 4 + 2 × 1
15 + 2 × 1
15 + 2 = 7
5
Evaluate this expression:
11 + (96 ÷ [2 + 6] – 8) × 4
11 + (96 ÷ [2 + 6] – 8) × 4
11 + (96 ÷ 8 – 8) × 4
11 + (12 – 8)} × 4
11 + 4 × 4
11 + 16 = 27
5
Evaluate this expression when m=12 and n=6.
6 × (m × 4 – n)
6 × (12 × 4 – 6)
6 × (48 – 6)
6 × 42 = 252
5
Tell whether the inequality is true or false for the given value of the variable.
15 > 48 – 16 ÷ m; m=4
False.
48 – 16 ÷ 4
48 – 4 = 44
15 < 44