Inequalities Practice Test - Mr. Graham's 8th Grade ...
嚜澠nequalities Practice Test
Multiple Choice (80 points, 5 points each)
Identify the choice that best completes the statement or answers the question.
1. Translate the word sentence into an inequality:
※2 less than a number is more than 8.§
5. Solve and graph.
3t 每 12 ≒ 每9
A.
B.
C.
D.
A. t ≡ 每7
每10 每8
2. Ms. Salgado needs to have her car repaired but does
not want to spend more than $375 for the repairs.
The mechanic says that the part needed for the
repair will cost $100 and the labor will cost an
additional $40 per hour. Which inequality below
represents the greatest number of hours the
mechanic can work without exceeding Ms.
Salgado*s budget?
A.
B.
C.
D.
每6
每4
每2
0
2
4
6
8
10
每6
每4
每2
0
2
4
6
8
10
每6
每4
每2
0
2
4
6
8
10
每6
每4
每2
0
2
4
6
8
10
每6
每4
每2
0
2
4
6
8
10
每6
每4
每2
0
2
4
6
8
10
每6
每4
每2
0
2
4
6
8
10
每6
每4
每2
0
2
4
6
8
10
B. t ≒ 每7
每10 每8
C. t ≡ 1
每10 每8
D. t ≒ 1
每10 每8
6. Solve and graph.
c 每 10 + 3c < 2
3. Solve:
A. c > 每2
A.
B.
C.
D.
每10 每8
B. c < 3
每10 每8
4. Solve:
A.
B.
C.
D.
x>7
x > -7
x < -2
x 3
每10 每8
D. c < 每2
每10 每8
7. Write and solve the algebraic inequality.
The product of 每3 and a number is at least 每24.
A.
B.
C.
D.
11. Solve and graph.
A.
每3x 每24; x 8
每3x 每24; x 8
每3x < 每24; x > 每8
每3x > 每24; x > 每8
每10 每8
每6
每4
每2
0
2
4
6
8
10
每10 每8
每6
每4
每2
0
2
4
6
8
10
每10 每8
每6
每4
每2
0
2
4
6
8
10
每10 每8
每6
每4
每2
0
2
4
6
8
10
B.
8. Solve and graph the solutions of the compound
inequality
.
C.
A.
AND
0
B.
2
3
4
5
1
2
3
4
5
1
2
3
4
5
AND
0
C.
1
D.
AND
12. Solve.
0
D.
AND
0
1
2
3
4
5
9. Rhonda raised $245 for her softball team's
fundraiser. She wants to raise no less than $455.
Write and solve an inequality to determine how
much more money Rhonda must raise to reach her
goal. Let d represent the amount of money in
dollars Rhonda must raise to reach her goal.
A.
B.
C.
D.
;
;
;
;
10. Solve the inequality
A. k > ?3 1
2
B. no solution
C. all real numbers
D. k > 5 1
2
.
A.
B.
C.
D.
13. Skate World offers birthday parties for a fee of
$130 plus $3 per person. If you can spend no more
than $190 on your party, what is the maximum
number of people who can attend?
A.
B.
C.
D.
15
12
20
14
14. Sara earns $9 per hour babysitting. She must earn
a minimum of $81 next month to attend a concert.
If h represents the number of hours Sara babysits,
write an inequality to describe the situation.
A.
B.
C.
D.
15.
Solve the inequality.
B.
C.
D.
A.
16.
Solve and graph the compound inequality.
OR
OR
A.
每7
每6
每5
每4
每3
每2
每1
0
1
2
3
4
5
6
7
s
每4
每3
每2
每1
0
1
2
3
4
5
6
7
s
每4
每3
每2
每1
0
1
2
3
4
5
6
7
s
每4
每3
每2
每1
0
1
2
3
4
5
6
7
s
OR
B.
每7
每6
每5
OR
C.
每7
每6
每5
OR
D.
每7
每6
每5
Short Answer: (20 points, 5 points each)
Solve each of the following.
17. What is the value of x, such that the perimeter of
the rectangle shown is at least 48 centimeters?
20. Solve the inequality and graph.
2x + 2 < 2(3x 每 1)
18. Graph the solution to:
.
每10 每8
每10 每8
每6
每4
每2
0
2
4
6
8
10
2
4
6
8
10
19. Graph the solution to:
每10 每8
每6
每4
每2
0
每6
每4
每2
0
2
4
6
8
10
Inequalities Practice Test
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
C
C
A
D
D
B
A
C
A
B
D
C
C
B
D
D
SHORT ANSWER
17. (4+x) + 3x + (4+x) + 3x > 48;
18. x < -3
每5
每4
每3
每2
每1
0
1
2
3
4
5
每5
每4
每3
每2
每1
0
1
2
3
4
5
每5
每4
每3
每2
每1
0
1
2
3
4
5
19.
20. x > 1
................
................
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