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133_144_CC_A_AMC2_C06_662328.indd Page 141
3/3/12
5:13 AM s-019
/Volumes/102/GO00864_AM_R1/MIDDLE_SCHOOL_MATH/NATIONAL/ANCILLARY..
/Volumes/102/GO00864_AM_R1/MIDDLE_SCHOOL_MATH/NATIONAL/ANCILLARY...
NAME _____________________________________________ DATE __________________ PERIOD _________
Test, Form 3A
SCORE _________
Solve each equation. Check your solution.
1. x + 17.3 = - 4.7
1.
-22
2. 21.8 - g = 9.5
2.
12.3
3.
4
4.
$300
5. 2.9a = 11.6
5.
4
6. -3.1u = 7.75
6.
-2.5
7. -3.7x = 29.6
7.
-8
Solve.
3. The number of infielders on a baseball team is one less than
three times the number of pitchers. If there are eleven infielders,
how many pitchers are there?
4. Three children each had the same amount of money in their
savings accounts. One of the children withdrew a quarter of her
money and spent it all on a $25 T-shirt. What was the total
amount of money originally in the accounts?
Copyright © The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.
Solve each equation. Check your solution.
1
-1 −
16
4
x = −−
8. -−
8.
9. (x - 5)(- 3) = 18
9.
-1
10. 6m + 2.3 = -9.7
10.
-2
11. 3.6 = -2p + 5.8
11.
1.1
x
- 7 = -2
12. −
12.
20
13. 2x + 6 = -4x
13.
-1
14. x - 17 = 2x + 3
14.
-20
15. 21 - 6x = -11 - 14x
15.
-4
9
27
4
3
141
Course 2 • Chapter 6 Equations and Inequalities
P rinter P DF
133_144_CC_A_AMC2_C06_662328.indd Page 142
3/3/12
5:13 AM s-019
/Volumes/102/GO00864_AM_R1/MIDDLE_SCHOOL_MATH/NATIONAL/ANCILLARY..
/Volumes/102/GO00864_AM_R1/MIDDLE_SCHOOL_MATH/NATIONAL/ANCILLARY...
NAME _____________________________________________ DATE __________________ PERIOD _________
Test, Form 3A
SCORE _________
(continued)
Express an equivalent equation for each equation.
-3x = 15
16. -3x + 9 = 24
16.
5
17. −−
(x - 5) = 30
17. x - 5 = 72
12
Solve each inequality. Graph the solution on a number line.
18.
18. y + 6 > 20
12
13
14
19.
19. w - 11 ≤ 3
12
13
14
20.
20. 5k ≥ -45
-10
-9
-8
21.
21. -2q < -34
16
17
p
-1
22. − > 7
-10
-9
3
-11
-10
15
16
w ≤ 14;
15
16
k ≥ -9;
-7
-6
q > 17;
19
20
22.
p < -7;
-8
-7
23.
b ≤ -9;
-9
-8
-6
-7
Write and solve an equation for Exercise 24.
24. The length of each side of an equilateral triangle is decreased by
4 inches, so the perimeter is now 27 inches. What is the original
length of each side of the equilateral triangle?
3(x - 2) = 27;
24. 11 inches
25. There are 256 vehicles in a car dealership’s lot. At least 113 of
them are hybrid vehicles. Write and solve an inequality that
describes how many vehicles, at most, are not hybrid.
113 + x <
256;
x < 143
25.
26. It costs Guido $0.20 to send a text message from his cell phone.
He has already spent $4 in text messages this month. If he has a
total of $10 that he can spend this month on text messages, write
and solve an inequality that will give the greatest number of text
messages that he can send. Interpret the solution.
0.20x + 4 ≤
10; x ≤ 30;
He can send
at most 30
more text
messages.
26.
142
Course 2 • Chapter 6 Equations and Inequalities
P rinter P DF
Copyright © The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.
b
23. −
+5≤2
18
y > 14;
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