ESL Math Exam Review

Escribe la desigualdad en palabras.

3n<52

• A

• B

• C

• D

Answer explanation

The inequality 3n < 52 means that three times a number n is less than fifty-two. This can be expressed in words as 'Three times a number is less than fifty-two,' which corresponds to answer choice B.

Graph the inequality

• A

• B

• C

• D

Answer explanation

To graph the inequality, identify the boundary line and determine which side to shade based on the inequality sign. Choice D correctly represents the shaded region that satisfies the inequality.

Graph the inequality

• A

• B

• C

• D

Answer explanation

The correct graph for the inequality is choice B, as it accurately represents the solution set, showing the correct shading and boundary line. Choices A, C, and D do not correctly depict the inequality.

Write an inequality for the graph

• x < -10
• x > -8
• x ≤ -8
• x ≥ -8

Answer explanation

The graph represented by choice C shows a line with a negative slope, indicating a less than inequality. This matches the visual representation of the graph, making C the correct choice.

Write an inequality to model the situation.

• n ≤ 20
• n = 21
• n > 21
• n < 20

Solve the inequality. Then graph your solution.

• q < 5/6
• q = 5/6
• q > 5/6
• q ≤ 1

Solve the inequality. Then graph your solution.

• x ≥ -24
• x < -24
• x < 10
• x ≤ -10

Solve the inequality. Then graph your solution.

• x = 4
• x ≥ 4
• x ≤ 2
• x < 4

Write and solve the inequality

Hint! Solve 2 + d ≤ 6

65

• d ≤ 200 miles

• d ≥ 300 miles

• d ≤ 150 miles

• d ≤ 260 miles

Answer explanation

The inequality d ≤ 260 miles indicates that the distance d must be less than or equal to 260 miles. This choice is correct as it allows for distances up to 260 miles, which fits the context better than the other options.

Write and graph the inequality.

• d > -1 and d < 3
• d < -2 or d ≥ 2
• d ≤ -3 or d > 1
• d < -3 or d ≥ 1