NAME _____________________________________________ DATE ____________________________ PERIOD _____________
Practice 6.7(A)
SCORE __________
Generate equivalent numerical expressions using order of operations, including whole number exponents and prime
factorization.
Multi-Step Example
Are the expressions 𝟑𝟒 +( 𝟓𝟑 – 5) ÷ 6 and 𝟏𝟐𝟐 – (𝟕𝟐 – 5) equivalent?
Simplify the first expression.
34 + (53 – 5) ÷ 6 = 34 + (125 – 5) ÷ 6
= 34 + 120 ÷ 6
= 81 + 120 ÷ 6
= 81 + 20
= 101
Simplify 53 inside the parentheses.
Subtract inside the parentheses.
Simplify the power.
Divide.
Add.
Simplify the second expression.
122 – (72 – 5) = 122 – (49 – 5)
= 122 – 44
= 144 – 44
= 100
Simplify 72 inside the parentheses.
Subtract inside the parentheses.
Simplify the power.
Subtract.
Since 101 ≠ 100, the expressions are NOT equivalent.
1 Which expression is equivalent to 42 + 3 × 4?
3 Four students wrote a prime factorization of 7,776.
Which student is correct?
A 52 + 3
B 3 × 4 + 43
Student
Prime Factorization
Cassie
2•3
C3 +7+4
Robert
6•6•6•6•6
D 25 – 2 + 6
Valerie
56
2
2 Which expression is NOT equivalent to 23 • 5 • 7?
F2•2•2•5•7
Greg
25 • 35
A Cassie
3
G 2 • 35
H 2 • 3 • 5 •7
J8•5•7
Course 1 • Expressions, Equations, and Relationships
B Robert
C Valerie
D Greg
TX97
NAME _____________________________________________ DATE ____________________________ PERIOD _____________
Practice 6.7(A)
(continued)
4 Four students were asked to write the value of 16 –
3(8 – 3) 2 ÷ 5. Which student wrote the correct value?
Student
Maria
Lucy
Juan
Eric
Value
–54
1
31
18
SCORE __________
Record your answer and fill in the bubbles on your
answer document. Be sure to use the correct place
value.
8 Which expression is equivalent to 3 • 72 • 11?
F (34 – 2) • 72
G 103 + (252 – 23)
F Maria
H 122 + (82 + 23)
G Lucy
J 102 • 34 – 14
H Juan
9 Four students wrote a prime factorization of (32 + 7) •
4. Which student is correct?
J Eric
5 What is the value of the expression (5 + 2 × 4) – 3 +
6?
2
Record your answer and fill in the bubbles on your
answer document. Be sure to use the correct place
value.
6 Which student correctly wrote the prime factorization
of 63?
Student
Marcy
Sean
Danielle
Matthew
Prime Factorization
9 •7
6•3
32 •7
2 • 32
A Marcy
B Sean
C Danielle
D Matthew
Student
Amelia
Miguel
Kathy
David
Prime Factorization
22 • 32 • 7
32 • 5
25 • 32
26
A Amelia
B Miguel
C Kathy
D David
10 On Day 1, Hailey gets 2 pennies for doing a chore.
After that, each day she does a chore ,the amount
doubles. The expression 2 n tells how many pennies
she gets for doing a chore on the nth day. How much
money does Hailey get on Day 20 of doing chores?
F $0.20
G $0.40
H $10,485.7
J $1,048,576
7 Erma has a water heater that holds 35 gallons of water.
How many quarts of water does the water heater hold?
TX98
Course 1 • Expressions, Equations, and Relationships
NAME _____________________________________________ DATE ____________________________ PERIOD _____________
Practice 6.7(A)
SCORE __________
Student Recording Sheet
Fill in the correct answer. For gridded-response questions, write your answers in the boxes on the answer grid and
fill in the bubbles to match your answers.
1
6
2
7
3
4
5
8
9
10
Course 1 • Expressions, Equations, and Relationships
TX99