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Powers/Exponents
Numerical Expressions
Variables n Expressions
Properties
Equivalent Expressions
100
Write each product using an exponent. Find value 2 × 2 × 2 × 2 × 2 × 2 × 2
2^7 = 128
100
7 - 6 + 5
6
100
a = 3 and b = 4 2a + 8
14
100
Property? 7 · (6 · t) and (7 · 6) · t
Associative Property
100
Simplify: x + 4 + 3x
4x + 4
200
Write each product using an exponent. Find value 7 × 7 × 7 × 7
7^4 = 2,401
200
28 + (89 - 67)
50
200
a = 3 and b = 4 15a - 4b
29
200
Property? 23 + 15 and 15 + 23
Commutative Property
200
Simplify: (6 + x) + 9
15 + x
300
Write each power as a product of the same factor. Then find the value 15^3
15 x 15 x 15 = 3,375
300
13 × 4 - 72 ÷ 8
43
300
x = 7, y =1/2 and z = 8 9y + (2x + 1)
19 1/2
300
Property? 8 · 1 and 8
Identity Property
300
Simplify: (25y + 5x) + 4y
29y + 5x
400
Write each power as a product of the same factor. Then find the value 5^5
5 x 5 x 5 x 5 x 5 = 3,125
400
(2 + 6) ÷ 2 + 4 × 3
16
400
x = 7, y =1/2 and z = 8 30y · 40x - 1,000
3,200
400
Property? 2 + (8 + a) and (2 +8) + a
Associative Property
400
Simplify: (5x + 9y) + 32x
37x + 9y
500
Write each power as a product of the same factor. Then find the value 2.5^3
2.5 x 2.5 x 2.5 = 15.625
500
4^3 - 24 ÷ 8
61
500
a = 9, b = 3, and c =1/3 ac ÷ (2b)
1/2
500
Property? 40 ÷ 10 and 10 ÷ 40
None (40 ÷ 10 = 4; 10 ÷ 40 = 0.25)
500
Factor out: 17x + 34y
17(x+2y)