AnswersCMS 2026-2027 NC Math 1 CREDIT RECOVERYSystems of Equations and Inequalities

Practice Test Answers

10 verified answers
1
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Which linear inequality is represented by the graph?

A
y is greater than 2 thirds x plus 1
B
y is less than 2 thirds x minus 1
C
y is greater than 2 thirds x minus 2
D
y is less than 2 thirds x plus 2
2
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What is the solution to the system of equations? y is equal to 2 x minus 3 point 5 x minus 2 y is equal to negative 14

A
negative 7 comma 3 point 5
B
3 point 5 comma negative 7
C
7 comma 10 point 5
D
10 point 5 comma 7
3

Tickets to the school play cost $⁢8 for regular tickets and $⁢5 for student tickets. The number of regular tickets sold for Friday’s show was 10 more than half the number of student tickets sold. If $⁢296 was collected from ticket sales for Friday’s show, how many student tickets were sold?

Answer:

24

4

Which ordered pair open paren r comma s close paren is the solution to the given system of equations? 5 r plus 7 s is equal to 61 negative 5 r plus 7 s is equal to negative 19

A
open paren 8 comma 3 close paren
B
open paren 1 comma negative 2 close paren
C
open paren 3 comma 8 close paren
D
open paren 1 comma 8 close paren
5

Which description of the graph of the linear inequality y is greater than 3 x minus 8 is correct?

A
The graph will be a dashed line with a y -intercept of negative eight and a slope of three. The graph will be shaded below the line.
B
The graph will be a solid line with a y -intercept of three and a slope of negative eight. The graph will be shaded above the line.
C
The graph will be a solid line with a y -intercept of three and a slope of negative eight. The graph will be shaded below the line.
D
The graph will be a dashed line with a y -intercept of negative eight and a slope of three. The graph will be shaded above the line.
6

The equations negative A minus 7 b is equal to 14 and negative 4 A minus 14 b is equal to 28 represent a system of linear equations. Which statement correctly explains how to eliminate the variable b when solving the system of equations?

A
Multiply the first equation by 2 and add it to the second equation. Then solve the resulting equation, negative 2 A is equal to 0 .
B
Divide the second equation by 4 and add it to the first equation.
C
Multiply the first equation by negative 2 and add it to the second equation. Then solve the resulting equation, negative 2 A is equal to 0 .
D
Divide the second equation by negative 4 and add it to the first equation.
7

Dwayne is selling hamburgers and cheeseburgers. He has 100 burger buns. Each hamburger sells for 3 dollars , and each cheeseburger sells for 3 point 50 dollars Which system of inequalities represents the number of hamburgers, h , and the number of cheeseburgers, c , he must sell to have sales of at least 80 dollars ?

A
h plus c is less than or equal to 80 3 h plus 3 point 5 c is less than or equal to 100
B
h plus c is less than or equal to 100 3 h plus 3 point 5 c is less than or equal to 80
C
h plus c is less than or equal to 100 3 h plus 3 point 5 c is greater than or equal to 80
D
h plus c is less than or equal to 80 3 h plus 3 point 5 c is greater than or equal to 100
8

Which symbol could be written in both circles in order to represent this system algebraically? y circle x y circle negative x

A
is less than or equal to
B
is greater than or equal to
C
is greater than
D
is less than
9

What is the solution to the system of equations?

A
0 comma 0 point 6 7
B
0 comma 3
C
negative 2 comma 2
D
1 comma 0
10

Which is the best approximation for the solution of the system of equations? y is equal to negative 2 fifths x plus 1 y is equal to 3 x minus 2

A
0 point 8 8 comma 0 point 6 5
B
1 point 3 comma 0 point 8 8
C
0 point 8 8 comma 1 point 1
D
0 point 4 5 comma 0 point 8 8

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