Linear Inequalities - Chap. 5 Review

Identify the graph that represents the solution to the inequality: x ≥ -4.

• A number line with a closed circle on -4 and shading to the right.

• A number line with an open circle on -4 and shading to the right.

• A number line with a closed circle on -4 and shading to the left.

• A number line with an open circle on -4 and shading to the left.

Which of the following numbers are a solution to the inequality 4x - 5 ≤ 19?

• 3

• 5

• 6

• 7

• -2

• x > -3

• x < -3

• x > 3

• x < 3

Graph the linear inequality: y < 2x + 3.

• A line with a slope of 2 and y-intercept of 3, shaded below the line.

• A line with a slope of 2 and y-intercept of 3, shaded above the line.

• A line with a slope of -2 and y-intercept of 3, shaded below the line.

• A line with a slope of -2 and y-intercept of 3, shaded above the line.

Write a linear inequality for the following word problem: "A school club can spend at most $200 on a party. They have already spent $85. How much more can they spend?"

• 85x ≤ 200

• x + 85 ≤ 200

• x - 85 ≤ 200

• x ≥ 115

Solve the linear inequality: 5 + 2y ≤ 15.

• y ≤ 5

• y ≥ 5

• y ≤ 10

• y ≥ 10

Which of the following are not a solution to the inequality 3x + 4 > 10?

• 7

• 2

• -3

• 4

• 0

• A dashed line with a slope of 1/2 and y-intercept of 2, shaded above the line.

• A dashed line with a slope of 1/2 and y-intercept of 2, shaded below the line.

• A solid line with a slope of 1/2 and y-intercept of 2, shaded below the line.

• A solid line with a slope of 1/2 and y-intercept of 2, shaded above the line.

Write a linear inequality from the following word problem: "A baker needs at least 25 pounds of flour for a large order. He already has 7 pounds."

• x + 7 ≥ 25

• x - 7 ≥ 25

• x + 7 ≤ 25

• x - 7 ≤ 25

Solve the linear inequality and choose the correct graph representation: 7 - 3k < 1.

• k > 2, a number line with an open circle on 2 and arrow going to the right.

• k < 2, a number line with an open circle on 2 and arrow going to the left.

• k > 2, a number line with a closed circle on 2 and arrow going to the right.

• k < 2, a number line with a closed circle on 2 and arrow going to the left.