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WorksheetsUnit 6 Review: Exponents and Prime Factorization
Total questions: 25
Worksheet time: 13mins
Find the missing exponent in the equation 10□=100 .
1
2
3
4
Which shows the prime factorization of 17?
3 × 5
17
3 × 7
2 × 7
Which shows the prime factorization of 8?
2 × 2
2 × 4
2 × 2 × 2 × 2
2 × 2 × 2
Write the prime factorization of 40 using exponents and list factors from least to greatest.
2 × 20
4 × 10
23×5
2 × 2 × 2 × 5
Write the prime factorization of 4 using exponents and order factors from least to greatest.
22
4 × 1
2 × 2
1 × 4
Evaluate 13+6⋅1⋅6 .
6
12
42
37
Rodrigo evaluated 26 − (2^4 − 10 ÷ 2) as shown: Step 1: 26 − (16 − 10 ÷ 2) Step 2: 26 − (16 − 5) Step 3: 26 − 11 Step 4: 15. Is Rodrigo’s work correct?
Mistake from Step 3 to Step 4; final subtraction done incorrectly
Yes, Rodrigo’s work is correct
Mistake from Step 2 to Step 3; subtract 16 from 26 instead of subtracting 5 from 16
Mistake from Step 1 to Step 2; divide before subtracting 10 from 16
Evaluate 10 − 5 × (−8 + 7).
5
15
20
−35
Evaluate the expression (4 + 6 × 1)².
100
196
121
144
Which expression matches the phrase: v plus 10?
v − 10
v + 10
v ÷ 10
10v
Which expression represents: add p to 9?
p − 9
9p
p ÷ 9
9 + p
Which expression represents the phrase: the quotient of y and 2?
y − 2
y + 2
y ÷ 2
2y
Write the sentence as an equation: 298 is 299 and h more.
298 = 299 + h
h = 298 + 299
298 = h − 299
298 = 299 − h
Write the sentence as an equation: 279 subtracted from r equals 100.
r + 279 = 100
279 − r = 100
100 − r = 279
r − 279 = 100
Which option is an expression, not an equation?
c = 72 + 4
20 = 4 · 5
4c − 72
20 ÷ 4 = 5
Which option is an expression, not an equation?
None of these
All three options
72 ÷ 4 − c
20(4 · 5)
c + 72 − 4
A model shows 1, 1, b, b, b, b, b. Which expression is equivalent to 1 + 1 + b + b + b + b + b?
2 + 5b
3 + 5b
7 + b
7b
Which expression is equivalent to 3z + 5z?
8z
z + 6z
4z + 5z
z⁸
Which expression is equivalent to 7(6c)?
7(c + 5c)
6(7c)
7(4c + 2c)
(6c)7
Which equation shows the associative property of addition?
r + s = s + r
r + (s + t) = (r + s) + t
t + u = r + s
r + 0 = r
Which equation shows the associative property of multiplication?
5 · (7 · 2) = (5 · 7) · 2
7 + 2 · 6 = 7 + 12
5 · 4 = 4 · 5
3 = 3 · 1
Simplify the expression: 4(1 + 2z) =
5 + 2z
4 + 2z
8 + 2z
4 + 8z
Combine like terms: x + 5 + 5 =
x + 5
x + 10
x + 25
10x
Combine like terms: 4m − 3m =
m − 3m
−m
7m
m
Combine like terms: 8k + 2k − 10k =
−2k
2k
0
−20k
