AnswersCA-Common Core Math I A-CRUnit Test

Unit Test — Unit test Answers

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Which description of the graph of the linear inequality y ≥ 7x – 4 is correct?

A
The graph will be a dashed line with a y-intercept of negative four and a slope of seven. The graph will be shaded below the line.
B
The graph will be a solid line with a y-intercept of negative four and a slope of seven. The graph will be shaded above the line.
C
The graph will be a solid line with a y-intercept of seven and a slope of negative four. The graph will be shaded below the line.
D
The graph will be a dashed line with a y-intercept of seven and a slope of negative four. The graph will be shaded above the line.
2
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On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, 1) and (0, 3). Everything to the left of the line is shaded.

Question illustration
A
y < x + 3
Option A
B
y > x + 3
Option B
C
y > x + 3
Option C
D
y < x + 3
Option D
3

A graphics company charges $50 per hour to create a logo plus $250 for the ownership rights of the logo. A private contractor charges $75 per hour to develop a logo plus a $100 supply fee.Which equation can be solved to determine x, the number of hours after which the costs would be the same?

A
50x + 250 = 75x + 100
B
50 + 250x = 75 + 100x
C
50x + 100 = 75x + 250
D
50 + 100x = 75 + 250x
4

y=5x – 1–15x – 3y=3

A
one solution: (0, –1)
B
one solution: (1, 4)
C
no solution
D
infinite number of solutions
5

The system of equations can be solved using linear combination to eliminate one of the variables.2x − y = −4→10x − 5y = −203x + 5y = 59→3x + 5y = 59 13x = 39Which equation can replace 3x + 5y = 59 in the original system and still produce the same solution?

A
2x – y = –4
B
10x – 5y = –20
C
7x = 39
D
13x = 39
6

The cost of a parking permit consists of a one-time administration fee plus a monthly fee. A permit purchased for 12 months costs $660. A permit purchased for 15 months costs $810.What is the administration fee?

A
$50
B
$54
C
$55
D
$60
7

Which value of m will create a system of parallel lines with no solution?y=mx-68x-4y=12

Question illustration
A
-2
B
-
Option B
C
Option
Option C
D
2
8

Which ordered pair makes both inequalities true?y –x + 4

Question illustration
A
(4,0)
B
(1,2)
C
(0,4)
D
(2,1)
9

What is the solution to this system of linear equations?3x – 2y = 14 5x + y = 32

A
(3, 5)
B
(6, 2)
C
(8, –1)
D
(14, –18)
10

A coordinate grid with 2 lines. The first line is labeled y equals 0.5 x plus 3.5 and passes through (negative 3, 1), (negative 2.7, 2.1), and (0, 3.5). The second line is labeled y equals negative StartFraction 2 over 3 EndFraction x plus StartFraction 1 over 3 EndFraction and passes through the points (negative 4, 3), (negative 2.7, 2.1), and (StartFraction 1 over 3 EndFraction, 0).

Question illustration
A
(–2.7, 2.1)
B
(–2.1, 2.7)
C
(2.1, 2.7)
D
(2.7, 2.1)
11

On a coordinate plane, a solid straight line has a positive slope and goes through (0, negative 1.3) and (3, negative 0.3). Everything below and to the right of the line is shaded.

Question illustration
A
y ≤ x – 1.3
Option A
B
y ≤ x –
Option B
C
y ≥ x –
Option C
D
y ≥ x – 1.3
Option D
12

What is the solution to this system of linear equations?x + y = 4x − y = 6

A
(4, 6)
B
(6, 4)
C
(5, −1)
D
(−1, 5)
13

Shirabi spent $208 on a sewing machine to make purses. She spends a total of $10 on thread, fabric, and accessories for each purse and plans to charge $36 for each purse. The equation represents her break-even point, when x represents the number of purses sold.208 + 10x = 36xHow many purses must she sell in order to break even?

A
5
B
6
C
7
D
8
14

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 2) and (2, 0). Everything to the left of the line is shaded. The second dashed line has a negative slope and goes through (0, 2) and (4, 0). Everything below and to the left of the line is shaded.

Question illustration
A
y > x – 2 and x – 2y < 4
B
y > x + 2 and x + 2y < 4
C
y > x – 2 and x + 2y < 4
D
y > x – 2 and x + 2y < –4
15

On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 2), and (1, negative 1). Everything to the right of the line is shaded.

Question illustration
A
(0, 2)
B
(2, 0)
C
(1, −2)
D
(−2, 1)
16

Anatoliy has a combination of 104 nickels and quarters totaling $22. Which system of linear equations can be used to find the number of nickels, n, and the number of quarters, q, Anatoliy has?

A
n + q = 22 0.05n + 0.25q = 104
B
n + q = 104 5n + 25q = 22
C
n + q = 104 0.05n + 0.25q = 22
D
n + q = 22 5n + 25q = 104
17

On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (negative 2, 3) and (0, negative 1). Everything to the left of the line is shaded. The second dashed line has a negative slope and goes through (0, 2) and (1, 0). Everything to the right of the line is shaded.

Question illustration
A
y<−2x+2
B
y>−2x+2
C
y<2x−2
D
y>2x−2
18

Which ordered pair is in the solution set of the system of linear inequalities?y > x – 1y < x – 1

Question illustration
A
(–5, 2)
B
(2, 2)
C
(5, 2)
D
no solution
19

What is the solution to this system of linear equations?7x – 2y = –68x + y = 3

A
(–6, 3)
B
(0, 3)
C
(1, –5)
D
(15, –1)

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