Practice Test Lessons 11-20
Algebra I (honors)
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Which property of whole numbers is illustrated by the statement 40 × 48 = 48 × 40?
a. Associative Property of Multiplication
b. Associative Property of Addition
c. Commutative Property of Addition
d. Commutative Property of Multiplication
____
2. An experiment consists of spinning the spinner shown. All outcomes are equally likely. What is the
probability that the spinner will land on 3? Express your answer as a fraction in simplest form.
____
____
a.
5
1
c.
1
5
b.
5
4
d.
4
5
3. An experiment consists of rolling two fair number cubes. The diagram shows the sample space of all equally
likely outcomes. What is the probability that the total shown on both number cubes is 9? Express your answer
as a fraction in simplest form.
a.
1
2
c.
1
9
b.
9
1
d.
8
9
4. Simplify 6(5
– 6p).
a. 30
– 6p
b. 30
– 36
c. 11
d. 30
+ 0p
– 36p
____
5. Evaluate
a.
for x = 8 and y = 6.
c. 107
1
82
b. 61
d.
____
6. Write the phrase “8 less than t” as an algebraic expression.
a. 8  t
c. t – 8
b. 8 – t
d. t • 8
____
7. Simplify 2z + 9 – z + 3.
a. –2z + 27
b. 3z + 6
c. z + 12
d. z + 6
8. Solve
a. q = 6
b. q = –6
c. q = 24
d. q = –24
____
____
.
9. Graph (–3, –4) on a coordinate plane.
y
a.
5
–5
c.
y
5
–5
5 x
–5
b.
5 x
–5
d.
y
5
–5
y
5
–5
5 x
–5
5 x
–5
____ 10. Identify the independent and dependent variables in the situation.
The amount of electricity used for air conditioning in homes increases as the temperature increases.
a. Independent: amount of electricity used; Dependent: temperature
b. Independent: temperature; Dependent: amount of electricity used
____ 11. The table shows speeds in miles per hour for four horses.
Time
5:59
6:00
6:01
6:02
6:03
7
2
0
0
Horse 1
Horse 2
Horse 3
Horse 4
28
0
4
7
15
5
7
29
5
0
3
34
2
6
0
0
In no particular order, the following graphs represent the horses in the table.
Graph 3
Time
Time
Graph 4
Horse's speed
Horse's speed
Horse's speed
Graph 2
Horse's speed
Graph 1
Time
Time
Tell which graph corresponds to horse 2 in the table.
a. Graph 2
c. Graph 3
b. Graph 1
d. Graph 4
____ 12. Mike completed 19 math problems before dinner for tonight’s homework, and he completed x problems after
dinner. Write an algebraic expression to determine the total number of problems he completed.
a. 19x
c. 19 – x
b.
d. 19 + x
____ 13. Simplify
.
a.
b.
c.
d.
____ 14. Simplify
a.
b.
.
c.
d. Cannot be simplified
Numeric Response
Evaluate each expression for the given values of the variables.
15.
16.
for
for
Problem
Simplify.
,
and
, and
.
.
17.
18.
19.
20. There are 2 blue, 5 red, and 8 yellow marbles in a bag. What is the probability of randomly choosing a yellow
marble?
21. Tell whether
is a solution for the equation
.
Practice Test Lessons 11-20
Answer Section
Algebra I (honors)
MULTIPLE CHOICE
1. ANS:
REF:
NAT:
2. ANS:
REF:
NAT:
3. ANS:
REF:
NAT:
4. ANS:
REF:
NAT:
5. ANS:
REF:
NAT:
6. ANS:
REF:
NAT:
7. ANS:
NAT:
8. ANS:
REF:
NAT:
9. ANS:
NAT:
10. ANS:
NAT:
11. ANS:
NAT:
12. ANS:
REF:
NAT:
13. ANS:
REF:
NAT:
14. ANS:
NAT:
D
PTS: 1
Lesson 12: Using the Properties of Real Numbers to Simplify Expressions
NCTM NO.1b
MSC: Alg1_S02_00005
C
PTS: 1
Lesson 14: Determining the Theoretical Probability of an Event
NCTM DAP.4a
MSC: Alg1_S02_00015
C
PTS: 1
Lesson 14: Determining the Theoretical Probability of an Event
NCTM DAP.4a
MSC: Alg1_S02_00017
D
PTS: 1
Lesson 15: Using the Distributive Property to Simplify Expressions
NCTM A.2a MSC: Alg1_S02_00021
B
PTS: 1
Lesson 16: Simplifying and Evaluating Variable Expressions
NCTM A.2a MSC: Alg1_S02_00025
C
PTS: 1
Lesson 17: Translating Between Words and Algebraic Expressions
NCTM A.2c MSC: Alg1_S02_00028
C
PTS: 1
REF: Lesson 18: Combining Like Terms
NCTM A.2a MSC: Alg1_S02_00033
C
PTS: 1
Lesson 19: Solving One-Step Equations by Adding or Subtracting
NCTM A.2b MSC: Alg1_S02_00038
B
PTS: 1
REF: Lesson 20: Graphing on a Coordinate Plane
NCTM G.2a MSC: Alg1_S02_00042
B
PTS: 1
REF: Lesson 20: Graphing on a Coordinate Plane
NCTM G.2a MSC: Alg1_S02_00044
B
PTS: 1
REF: Investigation 2: Graphing a Relationship
NCTM G.2a MSC: Alg1_S02_00047
D
PTS: 1
Lesson 17: Translating Between Words and Algebraic Expressions
NCTM A.2c MSC: Alg1_S02_00030
A
PTS: 1
Lesson 15: Using the Distributive Property to Simplify Expressions
NCTM A.2a TOP: Benchmark Test 1
MSC: Alg1_S02_00054
A
PTS: 1
REF: Lesson 18: Combining Like Terms
NCTM A.2a TOP: Benchmark Test 2
MSC: Alg1_S02_00063
NUMERIC RESPONSE
15. ANS: –22
PTS: 1
REF: Lesson 16: Simplifying and Evaluating Variable Expressions
NAT: NCTM A.2b TOP: Cumulative Test 4
MSC: Alg1_S02_00077
16. ANS: –12
PTS: 1
REF: Lesson 16: Simplifying and Evaluating Variable Expressions
NAT: NCTM A.2b TOP: Cumulative Test 5
MSC: Alg1_S02_00078
PROBLEM
17. ANS:
PTS: 1
REF: Lesson 18: Combining Like Terms NAT: NCTM A.2a
TOP: Cumulative Test 4
MSC: Alg1_S02_00098
18. ANS:
PTS: 1
REF: Lesson 18: Combining Like Terms NAT: NCTM A.2a
TOP: Cumulative Test 4
MSC: Alg1_S02_00097
19. ANS:
PTS: 1
REF: Lesson 18: Combining Like Terms NAT: NCTM A.2b
TOP: Cumulative Test 8
MSC: Alg1_S02_00101
20. ANS:
8
, 0.53, or 53%
15
PTS: 1
REF: Lesson 14: Determining the Theoretical Probability of an Event
NAT: NCTM DAP.4b
TOP: Cumulative Test 4
MSC: Alg1_S02_00110
21. ANS:
No,
is not a solution for the equation
. The solution is
.
PTS: 1
REF: Lesson 19: Solving One-Step Equations by Adding or Subtracting
NAT: NCTM A.2b TOP: Cumulative Test 4
MSC: Alg1_S02_00119