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```Name: ________________________ Class: ___________________ Date: __________
ID: A
Unit 3 Benchmark Review #1
1. Miranda wants to buy 8 pencils. She has a \$12 gift
card and a coupon for \$10 off. Which inequality
models the price, x, for how many pencils she can
afford.
a. 8x  10  12
b. 10  8x  12
c. 8x  10  12
d. 10  8x  12
8. Solve 24  3y  33
9. Use the number line to represent the solution to the
inequality 4x  6  5?
2. Select all the expressions equivalent to 10x  40?
a.
b.
c.
d.
10. mAOC  125
mDOF  48
What is the measure of COD?
–5 (2x  8)
5(2x  8)
2 ( –5x + 20)
–2 ( 5x + 40)
3. Select all expressions that are equivalent to
9x  4(8x  6)  3(x  8)
a. 23x  3x  2
b. 20x  48
c. 20x  24  24
d. 12x  32x  24  24
4. You bought one team shirt and one hat for each of
the 8 players on a team. Each team shirt costs
\$13.50 and the total cost was \$206.00. Write an
equation that you could use to find the cost of each
hat (x ).
11. Consider this figure. What is the value of x
5. Solve the equation 7.4  6m  5.2
6. You bought one appetizer and one main course for
each of the 12 guests at a party. Each appetizer
costs \$8.50 and the total cost was \$171.00. Write
an equation that you could use to find the cost of
each main course (x ).
12. Write an expression equivalent to
2.5x  2.8  2.4x  3.5
7. Jiovani is graphic artist. He charges an initial fee of
\$86.25, plus \$90 per hour. Jiovani earned \$558.75
on a job.
a) Write an equation that models this situation
where h represents the number of hours he worked.
b) How long did the job take?
1
Name: ________________________
ID: A
13.
19. Write an expression equivalent to
(2x  5)  (x  12) with as few terms as possible
20. A bike is 7 miles away from school and is driven
away at a rate of 14 miles per hour. Which equation
could you use to find how many hours, x , it will
take for the bike to be 30 miles away from school.
a. 7  14x  30
b. 7x  14  30
c. 7  14x  30
d. 7  14x  30
AOB measures ______
An angle complementary to AOE measures
______
An angle supplementary to COD measures
______
An angle vertical to COD measures ______
21. Which number line shows the solution to the
inequality 6x  2  5?
14. Solve for x and find the measure of XOY
a.
b.
15. Solve for x and find the measure of XOY
c.
d.
16. Consider this figure. What is the value of x
22. You buy 3 items and pay \$7.75 for shipping. What
was your cost per item if you paid a total of
\$57.25?
17. Is this work correct? If not, in which step contains
the first error?
4(2x  4  11)  5(12  8x  1)
Step 1 4(2x  7)  5(11  8x)
Step 2 8x  28  55  40x
Step 3 48x  83
18. Solve the equation 15.6  5m  4.9
2
ID: A
Unit 3 Benchmark Review #1
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
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16.
17.
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22.
C
A, C
B, D
8(x  13.5)  206.00 OR
8x  108  206.00 OR
108  8x  206.00 OR
equivalent
m  2.1
12(x  8.5)  171.00 OR
12x  102  171.00 OR
102  12x  171.00 OR
equivalent
a) 86.25  90h  558.75
OR 90h  86.25  558.75
b) 5.25 hours
y  3
55
x  31
0.1x  6.3
AOB measures 49
An angle complementary to AOE measures 49
An angle supplementary to COD measures 139
An angle vertical to COD measures 41
x=23 mXOY=99°
x=23 mXOY=103°
x  37
Step 2
m  4.1
x  17
A
C
\$16.50 per item
1
```
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