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Systems of Equations and Inequalities — Test Answers

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Which linear inequality is represented by the graph?

A
y is less than 3 halves x plus 3
B
y is greater than 3 halves x plus 3
C
y is less than 2 thirds x plus 3
D
y is greater than 2 thirds x plus 3
3

Which inequality pairs with y is less than or equal to negative 2 x minus 1 to complete the system of linear inequalities represented by the graph?

A
y is less than negative 2 x plus 2
B
y is greater than or equal to negative 2 x plus 2
C
y is less than 2 x minus 2
D
y is greater than 2 x minus 2
4

Which combination of loaves of bread and batches of muffins could Helena bake?

A
4 loaves of bread and 2 batches of muffins
B
5 loaves of bread and 1 batch of muffins
C
3 loaves of bread and 3 batches of muffins
D
2 loaves of bread and 4 batches of muffins
5

Which linear inequality is represented by the graph?

A
y is greater than or equal to 1 third x minus 1 point 3
B
y is greater than or equal to 1 third x minus 4 thirds
C
y is less than or equal to 1 third x minus 1 point 3
D
y is less than or equal to 1 third x minus 4 thirds
6

Which is the approximate solution to the system y is equal to 0 point 5 x plus 3 point 5 and y is equal to negative 2 thirds x plus 1 third shown on the graph?

A
negative 2 point 7 comma 2 point 1
B
2 point 1 comma 2 point 7
C
negative 2 point 1 comma 2 point 7
D
2 point 7 comma 2 point 1
9

Which system of linear inequalities is represented by the graph?

A
y is greater than or equal to x minus 2 and x minus 2 y is less than 4
B
y is greater than or equal to x plus 2 and x plus 2 y is less than 4
C
y is greater than x minus 2 and x plus 2 y is less than negative 4
D
y is greater than or equal to x minus 2 and x plus 2 y is less than 4
15

Anatoliy has a combination of 104 nickels and quarters totaling 22 dollars 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 plus q is equal to 22 5 n plus 25 q is equal to 104
B
n plus q is equal to 104 0 point 0 5 n plus 0 point 2 5 q is equal to 22
C
n is equal to q is equal to 22 0 point 0 5 n plus 0 point 2 5 q is equal to 104
D
n plus q is equal to 104 5 n plus 25 q is equal to 22
17

What is the solution to the system of equations? y is equal to negative 5 x plus 3 y is equal to 1

A
0 point 8 comma 1
B
1 comma 0 point 8
C
0 point 4 comma 1
D
1 comma 0 point 4
18

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3 -point questions and y is the number of 5 -point questions, the system shown represents this situation. x plus y is equal to 24 3 x plus 5 y is equal to 100 What does the solution of this system indicate about the questions on the test?

A
The test contains 4 three-point questions and 20 five-point questions.
B
The test contains 14 three-point questions and 10 five-point questions.
C
The test contains 10 three-point questions and 14 five-point questions.
D
The test contains 20 three-point questions and 8 five-point questions.
20

Which system is represented by the graph?

A
y is greater than 2 x x plus 2 y is less than or equal to negative 8
B
y is less than 2 x x plus 2 y is greater than or equal to negative 8
C
y is less than or equal to 2 x x plus 2 y is greater than negative 8
D
y is greater than or equal to 2 x x plus 2 y is less than negative 8

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