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Which ordered pair makes both inequalities true?y < 3x – 1y > –x + 4

(4,0)

(1,2)

(0,4)

(2,1)

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What is the value of y in the solution to the system of equations?x + y = 12x – 3y = –30

–8

–3

A coordinate grid with 2 lines. The first line passes through (0, negative 5) and (negative 5, 0). The second line passes through (0, negative 5) and (negative 2, 1).

(5, 0)

(0, 5)

(0, –5)

(–5, 0)

Helena needs 3.5 cups of flour per loaf of bread and 2.5 cups of flour per batch of muffins. She also needs 0.75 cup of sugar per loaf of bread and 0.75 cup of sugar per batch of muffins. Helena has 17 cups of flour and 4.5 cups of sugar available for baking.

2 loaves of bread and 4 batches of muffins

3 loaves of bread and 3 batches of muffins

4 loaves of bread and 2 batches of muffins

5 loaves of bread and 1 batch of muffins

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.

y<−2x+2

y>−2x+2

y<2x−2

y>2x−2

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.

(0, 2)

(2, 0)

(1, −2)

(−2, 1)

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.

y ≤ x – 1.3

y ≤ x –

y ≥ x –

y ≥ x – 1.3

What is the solution to the system of equations?y = –5x + 3y = 1

(0.4, 1)

(0.8, 1)

(1, 0.4)

(1, 0.8)

Two linear equations are shown.

(7, 4)

(7, StartFraction 13 over 3 EndFraction)

(8, StartFraction 14 over 3 EndFraction)

(9, 7)

y=5x – 1–15x – 3y=3

one solution: (0, –1)

one solution: (1, 4)

no solution

infinite number of solutions

Gillian purchased 25 books at the library book sale. Each hardcover book cost $1.50, and each paperback book cost $0.50. Gillian spent a total of $26.50. The book costs can be represented by the system of equations below. h + p = 251.50h + 0.50p = 26.50

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).

(–2.7, 2.1)

(–2.1, 2.7)

(2.1, 2.7)

(2.7, 2.1)

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.

y < x + 3

y > x + 3

y < x + 3

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

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.

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.

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.

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.

To eliminate the y terms and solve for x in the fewest steps, by which constants should the equations be multiplied by before adding the equations together?First equation: 4x − 3y = 34Second equation: 3x + 2y = 17

The first equation should be multiplied by 2 and the second equation by 3.

The first equation should be multiplied by 2 and the second equation by −3.

The first equation should be multiplied by 3 and the second equation by 4.

The first equation should be multiplied by 3 and the second equation by −4.

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

-2

Option

Which ordered pairs make both inequalities true? Select two options. y < 5x + 2y > x + 1 (–1, 3)(0, 2) (1, 2)(2, –1)(2, 2)

(–1, 3)

(0, 2)

(1, 2)

(2, –1)

(2, 2)

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 + y = 243x + 5y = 100What does the solution of this system indicate about the questions on the test?

The test contains 4 three-point questions and 20 five-point questions.

The test contains 10 three-point questions and 14 five-point questions.

The test contains 14 three-point questions and 10 five-point questions.

The test contains 20 three-point questions and 8 five-point questions.

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

(–5, 2)

(2, 2)

(5, 2)

no solution

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.

y > x – 2 and x – 2y < 4

y > x + 2 and x + 2y < 4

y > x – 2 and x + 2y < 4

y > x – 2 and x + 2y < –4

Raphael graphed the system of equations shown.y = – 3y = x – 0.8What is the best approximation for the solution to this system of equations?

(–3.2, –3)

(–2.9, –3)

(–2.2, –3)

(–1.9, –3)

A coordinate grid with one line labeled y equals 3 x plus StartFraction 3 over 4 EndFraction. The line passes through points at (negative 1, negative 2) and (0, 1).

–6x + y =

6x + y =

–6x + 2y =

6x + 2y =

Which points are solutions to the linear inequality y < 0.5x + 2? Select three options.

(–3, –2)

(–2, 1)

(–1, –2)

(–1, 2)

(1, –2)

On a coordinate plane, a solid straight line has a positive slope and goes through (negative 3, negative 5) and (0, negative 4). Everything to the right of the line is shaded.

y ≥ x – 4

y ≤ x – 4

y ≤ x + 4

y ≥ x + 4

What value of b will make the system of equations have an infinite number of solutions?y = -2x + b 4x + 2y = 8

-4

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