Alg 2 - Review #2 - Solving Equations and Absolute Values

Front

What is the first step to solve the inequality |2x + 12| < 8?

Back

2x + 12 < 8 and 2x + 12 > -8

Front

What is the solution for the inequality |2w - 1| < 11?

Back

-5 < w < 6

Front

What is the solution for the inequality |2x + 5| > 11?

Back

x > 3 or x < -8

Front

Define absolute value.

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction.

Front

What does the inequality |x| < a represent?

Back

It represents the values of x that are within a distance a from 0.

Front

What does the inequality |x| > a represent?

Back

It represents the values of x that are more than a distance a from 0.

Front

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

Back

Set up two inequalities: x - 4 < 3 and x - 4 > -3, then solve for x.

Front

What is the solution for the inequality |x + 2| < 5?

Back

-7 < x < 3

Front

What is the solution for the inequality |3x - 1| > 4?

Back

x < -1 or x > \\frac{5}{3}.

Front

What is the first step to solve |x + 1| = 6?

Back

Set up two equations: x + 1 = 6 and x + 1 = -6.