23 Algebra 1 Chapter 5 Review

Front

What is the solution to the inequality a − 6 ≤ 15 + 8a?

Back

a ≥ -3

Front

Which point makes the inequality -4x + 9 ≤ -23 true?

Back

x = 9

Front

What does the inequality y ≤ -x - 4 represent graphically?

Back

The region below the line y = -x - 4, including the line itself.

Front

What does the inequality y > \frac{1}{2}x + 3 represent graphically?

Back

The region above the line y = \frac{1}{2}x + 3, excluding the line.

Front

What inequality is represented by the graph showing x > 2 or x ≤ -3?

Back

x > 2 or x ≤ -3

Front

Define a linear inequality.

Back

An inequality that can be written in the form ax + b < c, ax + b ≤ c, ax + b > c, or ax + b ≥ c.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the boundary, while non-strict inequalities (≤, ≥) do include the boundary.

Front

How do you solve the inequality 3x - 5 < 4?

Back

Add 5 to both sides: 3x < 9; then divide by 3: x < 3.

Front

What is the graphical representation of the inequality x < 4?

Back

A number line with an open circle at 4 and shading to the left.

Front

What is the solution set for the inequality 2x + 3 ≥ 7?

Back

x ≥ 2.