Download Name Date Class Generating Equivalent Algebraic Expressions

Name _______________________________________ Date __________________ Class __________________
MODULE
10
Generating Equivalent Algebraic Expressions
TEST REVIEW
1. What do two equivalent expressions
always have in common?
6. Which value for the variable w makes the
value of this expression 5?
A the same value
50
w
B the same variables
A w
C the same constants
D Both have an equal sign.
D w  500
7. Find the value of the expression below
for x  5.
A an equals sign
x2  2(x  5)
B at least one variable
C one or more numbers
D an operation such as addition
A 10
C 85
B 70
D 5
8. Which property justifies the fact that
5(x  2) is equivalent to 5x  10?
3. Which algebraic expression could
represent the phrase below?
A commutative
5 decreased by a number n
B associative
A 5n
C distributive
B n5
D identity
n
5
D n
C w  10
B w5
2. What must be included in an algebraic
expression?
C
1
5
9. Which of the following is equivalent to the
expression below?
1
5
4x  3(2x 1)  2x
4. Which phrase does not have the same
–3
meaning as
?
w
A 8x  3
C 12x  3
B 8x  3
D 12x  3
10. What are the like terms in the expression
below?
A negative 3 times a number w
3a  4b  3  8a
B negative 3 divided by a number w
C a number w divided into negative 3
A 8 and 8a
C 3a and 8a
D the quotient of negative 3 and a
number w
B 3a and 3
D 3a, 3, and 4b
11. At 6 P.M. the temperature was 2F. By
midnight, the temperature had dropped
5 degrees. What was the temperature
at midnight?
5. What is the value of the expression
h  30 when h  60?
A 30
B 40
A 7F
C 3F
C 80
B 3F
D 7F
D 120
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
51
Name _______________________________________ Date __________________ Class __________________
MODULE
10
Generating Equivalent Algebraic Expressions
12. Identify the variable and the constant in
the expression below.
17. Charlie is 5 inches taller than Nancy.
Use n for Nancy’s height. Write an
expression for Charlie’s height.
n5
variable: ___________________________
________________________________________
constant: ___________________________
Evaluate the expression for n  62. What
does your answer represent?
13. Write an algebraic expression for the
phrase below. Use v for the variable.
________________________________________
the quotient of a number and 5
________________________________________
_______________________________________
18. A student is evaluating the expression
below for n  3.5.
14. Translate the algebraic expression below
into words.
12.8  6(n  0.5)
In what order should the student do the
steps?
b 14
_______________________________________
Step 1: Substitute _________ for n.
Step 2: ___________________________
Step 3: ___________________________
15. Anna, Vickie, and Luanna are sisters.
Anna is 3 years older than Vickie, and
Luanna is 2 years younger than Vickie.
Use v for Vickie’s age. Write
expressions to show the ages of the
other two sisters.
Step 4: ___________________________
19. Use the distributive property to simplify
the expression below.
3x(x  5)
Anna’s age: ________________________
________________________________________
Luanna’s age: _______________________
20. Combine like terms to simplify the
expression below.
16. Evaluate the expression below for
m  350.
6y  8x  y  14x
3.5m
________________________________________
_______________________________________
21. There are 80 boys in a computer club.
The ratio of girls to boys is 2 to 5. How
many girls are in the club?
________________________________________
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
183
Name _______________________________________ Date __________________ Class __________________
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
183