Unit 2 Review-Alg 1 (For Final)

Front

What is the absolute value of a number?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. It is always non-negative.

Front

Solve for r: −2|−2r − 4| = -12

Back

r = -5 and r = 1.

Front

What does it mean to solve an absolute value equation?

Back

To solve an absolute value equation, you set the expression inside the absolute value equal to both the positive and negative values of the other side of the equation.

Front

Solve for x: |2x - 1| = 9

Back

x = 5 and x = -4.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

Solve the proportion: 3/4 = x/8

Back

x = 6.

Front

What is the solution to the equation |x + 9| = -5?

Back

No solution, because absolute values cannot be negative.

Front

What does it mean if an equation has no solution?

Back

It means that there are no values that can satisfy the equation.

Front

How do you graph an absolute value function?

Back

You plot the vertex and then use the properties of absolute value to create a V-shaped graph.

Front

What is the vertex of the absolute value function y = |x - 3| + 2?

Back

The vertex is at the point (3, 2).