AnswersAlgebra ILinear Inequalities

Practice Test Answers

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1
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Which linear inequality is represented by the graph?

A
y is less than 2 thirds x minus 1
B
y is less than 2 thirds x plus 2
C
y is greater than 2 thirds x minus 2
D
y is greater than 2 thirds x plus 1
2
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Which ordered pairs are in the solution set of the system of linear inequalities? y is greater than or equal to negative 1 third x plus 2 y is less than 2 x plus 3

A
2 comma 2 , 3 comma 1 , 4 comma 2
B
2 comma 2 , 1 comma 2 , 2 comma 0
C
2 comma 2 , 3 comma negative 1 , 4 comma 1
D
2 comma 2 , 1 comma negative 2 , 0 comma 2
3

What interval includes all possible values of x , where negative 3 times open paren 6 minus 2 x close paren is greater than or equal to 4 x plus 12 ?

A
left bracket 15 comma infinity right parenthesis
B
left bracket negative 3 comma infinity right parenthesis
C
left parenthesis negative infinity comma negative 3 right bracket
D
left parenthesis negative infinity comma 15 right bracket
4

What is the solution to negative 4 times open paren 8 minus 3 x close paren is greater than or equal to 6 x minus 8 ?

A
x is greater than or equal to 4
B
x is less than or equal to 4
C
x is less than or equal to negative 4 thirds
D
x is greater than or equal to negative 4 thirds
5

Which statements are true about the graph of the system of linear inequalities? Choose two correct answers. y is greater than 3 x minus 4 y is less than or equal to 1 half x plus 1

A
The graph of y is less than or equal to 1 half x plus 1 has shading below a dashed line.
B
The graph of y is greater than 3 x minus 4 has shading above a dashed line.
C
The graphs of the two inequalities intersect the y -axis at 0 comma 1 and 0 comma 4 .
D
There are no solutions to the system.
E
The graphs of the inequalities will intersect.
6

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

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