Download Unit 2 Review 1 (With answer key)

Name _______________________________________ Date __________________ Class __________________
Reasoning with Equations and Inequalities
Form A
Select the best answer.
1. A printing company will charge $6 plus
$0.07 per page. Another company will
charge $24 plus $0.04 per page for the
same project. For how many pages will
the costs be the same regardless of
which company is used?
A 330
C 600
B 400
D 1000
2. Solve 10(x  1)  10  10x.
F no solution
6. Which inequality is shown by the graph
below?
F x  3
H x  3
G x  3
J x  3
7. Which inequality represents the situation
“no more than 160 students are in the
freshman class”?
A s  160
C s  160
B s  160
D s  160
G 1
8. Solve x  7  2.
H 0
F x  5
H x5
J all real numbers
G x  5
J x5
3. Mrs. Nelson is buying folding chairs
that are on sale for $10. If she has $50,
which inequality can be solved to show
the number of chairs c she can buy?
A 10c  50
9. Solve 4(x  1)  12.
A x  2
C x  3
B x  2
D x  3
10. Solve 23  a  3(2  6).
B 10c  50
4. Latisha is on page 30 of her book and
reads 3 pages every night. Sal is on
page 40 of the same book and reads
2 pages every night. How long will it
take Latisha to be further in the book
than Sal?
F 3 nights
H 15 nights
G 11 nights
J 71 nights
F a  6
H a  4
G a  6
J a  4
x  y  1
.
11. Solve by any method: 
x  y  3
5. Which graph represents b  5?
A
B
C
D
A (2, 1)
B (1, 2)
© Houghton Mifflin Harcourt Publishing Company
Holt McDougal Coordinate Algebra
Name _______________________________________ Date __________________ Class __________________
Reasoning with Equations and Inequalities
Form A continued
12. Which term describes a system with
exactly one solution?
F consistent and independent
Solve each inequality.
20.
x3
8
7
G consistent and dependent
________________________________________
H inconsistent
J dependent
Solve each equation.
21. 12  3x  32  18
13. 10a  35  8a  1
________________________________________
14. 5(x  1)  5(x  5)  15
________________________________________
15. Describe the solutions of
1
x  2 in words.
3
________________________________________
________________________________________
Graph each inequality.
________________________________________
22. One salesperson earns $1600 per month.
A second salesperson earns $500 plus
5% of their sales per month. For what
amount of sales would the second
salesperson earn more than the first?
________________________________________
23. Tell whether (5, 6) is a solution of
 x  2y  7
.

 y  x  1
16. k  1
17. w  2
1
2
18. Write the inequality shown by the
graph.
________________________________________
19. Citizens less than 18 years old are
not allowed to vote. Define a variable
and write an inequality for the ages of
citizens who are not allowed to vote.
________________________________________
 y  6x  10
.
24. Classify 
 y  6x  3
Write consistent and independent,
consistent and dependent, or
inconsistent.
________________________________________
________________________________________
________________________________________
© Houghton Mifflin Harcourt Publishing Company
Holt McDougal Coordinate Algebra
Name _______________________________________ Date __________________ Class __________________
Answers
Form A
1. C
3. A
2. J
4. G
5. C
6. F
7. D
8. F
9. A
10. H
11. B
12. F
13. a  2
Reasoning with Equations and Inequalities
Answers continued
14. no solution
15. all real numbers greater than or equal to 6
16.
17.
18. x  3
19. a  age; a  18; cannot be negative
20. x  53
21. x < 13
22. sales greater than $22,000
23. yes
24. inconsistent
© Houghton Mifflin Harcourt Publishing Company
Holt McDougal Coordinate Algebra