Algebra 1 - Summer Session 2 - UNIT 7 PRACTICE TEST - Mr. Walker
Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Find a solution to the following system of equations.   a. | (–3, 2) | b. | (0, 3) | c. | (1, 2) | d. | (3,
–2) |
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2.
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Which graph represents the following system of equations?
y =
–3x + 1
y = 2x – 2
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3.
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What is the solution of the system of equations?
y = x +
3
y = –3x – 1
a. | (–2, 1) | b. | (2, –1) | c. | (0.5, –2.5) | d. | (–1,
2) |
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Solve the system of equations using substitution.
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4.
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y = 3x + 2
y = 4x + 1
a. | (–1, –1) | b. | (1, 5) | c. | (–1, –1) | d. | (–1,
–3) |
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5.
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y = 3x – 8
y = 2x – 2
a. | (6, 10) | b. | (1, –4) | c. | (2, 2) | d. | (2,
–2) |
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6.
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3x + 2y = 7
y = –3x + 11
a. | (6, –3) | b. | (6, –7) | c. |  | d. | (5, –4) |
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Solve the system using elimination.
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7.
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6x + 3y = –12
6x + 2y = –4
a. | (10, –16) | b. | (2, –8) | c. | (–2, 8) | d. | (–10,
16) |
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8.
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2x – 2y = –8
x + 2y = –1
a. | (–14, 1) | b. | (1, 5) | c. | (–3, 1) | d. | (0,
4) |
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9.
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2x + 5y = –3
4x – 5y = 9
a. | (2, –1.4) | b. | (–1, 1) | c. | (1, –1) | d. | (5,
4) |
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10.
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3x – y = 28
3x + y = 14
a. | (8, –4) | b. | (–7, 7) | c. | (7, –7) | d. | (–4,
8) |
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11.
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3x – 4y = 9
–3x + 2y = 9
a. | (3, 9) | b. | (–27, –9) | c. | (–3, –6) | d. | (–9,
–9) |
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12.
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3x – 4y = –24
x + y = –1
a. | (–4, 3) | b. | (0, 6) | c. | (3, 4) | d. | (4,
3) |
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13.
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By what number should you multiply the first equation to solve using
elimination?
–2x – 4y = 6
–6x + 5y = 1
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14.
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The sum of two numbers is 88. Their difference is 32. Write a system of
equations that describes this situation. Solve by elimination to find the two numbers.
a. | x + y = 32
y – x = 88
55 and
29 | c. | x – y = 88
x + y = 32
59 and
29 | b. | x + y = 88
x – y = 32
60 and
28 | d. | x + y =
88
x – y = 32
55 and 23 |
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15.
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Sharon has some one-dollar bills and some five-dollar bills. She has 14 bills.
The value of the bills is $30. Solve a system of equations using elimination to find how many of each
kind of bill she has.
a. | 4 five-dollar bills, 10 one-dollar bills | c. | 5 five-dollar bills, 5 one-dollar
bills | b. | 3 five-dollar bills, 15 one-dollar bills | d. | 5 five-dollar bills, 9 one-dollar bills
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Graph the inequality.
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16.
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17.
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18.
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19.
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Write the following inequality in slope-intercept form. 
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20.
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Find a solution of the linear inequality.  a. | (3, 4) | b. | (2, 1) | c. | (3, 0) | d. | (1,
1) |
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