CUNY Elementary Algebra Final Exam
Sample C
June 2016
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1.
Simplify.
√𝟒𝟎 + √𝟐𝟓𝟎
A)
B)
C)
D)
2.
10√2 + 10√5
29√10
√290
7√10
Simplify completely.
√𝟐(√𝟐 + √𝟕)
A)
B)
C)
D)
3.
2 + √14
4 + √14
√2 + √14
2 + √7
Simplify.
√𝟔√𝟑𝟎
√𝟓
A)
B)
C)
D)
4.
5√6
√6
6
1
Simplify.
(𝟑𝒙𝟐 𝒚)(−𝟒𝒙𝒚𝟑 )
A) 12𝑥 3 𝑦 4
B) −12𝑥 3 𝑦 4
C) −12𝑥 2 𝑦 3
D) 12𝑥 2 𝑦 3
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5.
Simplify.
𝒙−𝟔 𝒙𝟐
A)
B)
1
𝑥3
1
𝑥4
C) −𝑥 4
D) 𝑥 4
6.
Simplify completely.
(𝟕𝒙𝟐 − 𝟔𝒙 + 𝟐) − (𝟒𝒙𝟐 − 𝟑𝒙 + 𝟓)
A)
B)
C)
D)
7.
3𝑥 2 − 9𝑥 − 3
11𝑥 2 − 3𝑥 − 3
3𝑥 2 − 3𝑥 − 3
3𝑥 2 − 3𝑥 + 7
Multiply.
(𝟒𝒙 − 𝟐)(𝒙𝟐 − 𝟓𝒙 + 𝟑)
A)
B)
C)
D)
8.
4𝑥 3 − 22𝑥 2 + 22𝑥 − 6
4𝑥 3 − 20𝑥 2 + 22𝑥 − 6
4𝑥 3 − 22𝑥 2 + 12𝑥 − 6
4𝑥 3 − 20𝑥 2 + 12𝑥 − 6
Simplify completely.
𝟐𝟎𝒙𝟗 − 𝟑𝟎𝒙𝟒 + 𝟏𝟎𝒙𝟑
−𝟏𝟎𝒙𝟑
A)
B)
C)
D)
−2𝑥 6 + 3𝑥
20𝑥 9 − 30𝑥 4
2𝑥 6 − 3𝑥 + 1
−2𝑥 6 + 3𝑥 − 1
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9.
Factor completely.
𝟖𝒙𝟐 𝒚 − 𝟏𝟖𝒚𝟑
A)
B)
C)
D)
10.
Which of the following is a factor of the polynomial?
𝟓𝒙𝟐 + 𝟏𝟑𝒙 − 𝟔
A)
B)
C)
D)
11.
5𝑐 + 2𝑑
5𝑐 + 4𝑑
3𝑤 − 4𝑧
3𝑤 + 4𝑧
If 𝑦 represents a number, which equation is a correct translation of
the sentence?
𝟏𝟓 is 𝟐𝟖 less than 𝟓 times a number.
A)
B)
C)
D)
13.
𝑥−3
5𝑥 + 2
5𝑥 − 3
𝑥+3
Which of the following is a factor of the polynomial?
𝟏𝟓𝒄𝒘 − 𝟐𝟎𝒄𝒛 − 𝟔𝒅𝒘 + 𝟖𝒅𝒛
A)
B)
C)
D)
12.
2(4𝑥 2 𝑦 − 9𝑦 3 )
2𝑦(4𝑥 − 9𝑦)(4𝑥 + 9𝑦)
2𝑦(2𝑥 − 3𝑦)(2𝑥 − 3𝑦)
2𝑦(2𝑥 − 3𝑦)(2𝑥 + 3𝑦)
15 = 5(28 − 𝑦)
15 = 5𝑦 − 28
15 = 5(𝑦 − 28)
15 = 28 − 5𝑦
Solve for 𝑥.
𝟐𝒙 𝟏 𝟓
+ =
𝟑 𝟐 𝟔
A) 𝑥 =
B) 𝑥 =
1
2
3
2
2
C) 𝑥 =
3
D) 𝑥 = 2
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14.
Solve for 𝑥.
𝟑 − 𝟗𝒙 = −𝟕(𝒙 + 𝟓)
A)
B)
C)
D)
15.
What is the value of the 𝑥-coordinate of the solution to the system of
equations?
−𝟐𝒙 + 𝒚 = 𝟐
𝟖𝒙 − 𝟓𝒚 = 𝟒
A)
B)
C)
D)
16.
𝑥 = 19
𝑥 = −16
𝑥 = 16
𝑥 = −1
𝑥=7
𝑥 = −3
𝑥=3
𝑥 = −7
Solve for 𝑥.
𝒛 = 𝟐𝒙 − 𝟓𝒚
A) 𝑥 = 2(𝑧 + 5𝑦)
𝑧
B) 𝑥 = + 5𝑦
2
C) 𝑥 =
D) 𝑥 =
17.
𝑧−5𝑦
2
𝑧+5𝑦
2
Find all solutions to the equation.
𝒚𝟐 − 𝟑𝟔 = 𝟓𝒚
A)
B)
C)
D)
y = −9 or 𝑦 = 4
𝑦 = −9 or 𝑦 = −4
𝑦 = 9 or 𝑦 = 4
𝑦 = 9 or 𝑦 = −4
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18.
What is the value of 𝑥 in the right triangle?
9 𝑥
2
A)
B)
C)
D)
19.
7
√77
√85
√7
Find the graph of the solution to the inequality.
−𝟐𝒙 + 𝟑 ≥ 𝟒𝒙 − 𝟗
A)
B)
C)
D)
20.
Given 𝑎 = 2 and 𝑏 = −3, evaluate the expression given below.
𝒂𝟐 𝒃 + 𝒂𝒃 + 𝒃𝟐
A)
B)
C)
D)
−9
−15
3
27
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21.
22.
Which of the following is the graph of the equation?
−𝟓𝒙 + 𝟐𝒚 = 𝟏𝟎
A)
B)
C)
D)
Find the equation of the line passing through the points (1, −2) and
(−2, 7). Write the equation in slope-intercept form.
A)
B)
C)
D)
23.
𝑦 = 3𝑥 + 13
𝑦 = 3𝑥 − 5
𝑦 = −3𝑥 − 2
𝑦 = −3𝑥 + 1
Find the equation of the vertical line passing through the
point (−2, −3).
A)
B)
C)
D)
3
𝑦 = 𝑥−3
2
𝑦 =𝑥−3
𝑥 = −2
𝑦 = −3
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24.
Find the slope and 𝑦-intercept for the graph of the equation.
𝟖𝒙 − 𝟑𝒚 = 𝟗
A) Slope=
3
and 𝑦-intercept = (0, 9)
8
B) Slope= −
C) Slope=
8
and 𝑦-intercept = (0, −3)
3
8
and 𝑦-intercept = (0, −3)
3
D) Slope= −
25.
3
and 𝑦-intercept = (0, 9)
8
What is the slope of the line graphed below?
A)
B)
4
3
3
4
C) −
D) −
3
4
4
3
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You are allowed to use a scientific calculator on this exam.
Answer Key
CUNY Elementary Algebra Final Exam
Sample C
Test Item
Number
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
Correct
Answer
D
A
C
B
B
C
A
D
D
D
C
B
A
A
D
D
D
B
D
A
D
D
C
C
C
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