Understanding Absolute Value Equations

Front

What does |2x+1| = 7 mean?

Back

2x+1 = 7 or 2x+1 = -7

Front

Solve the equation |x-1| + 2 = 10.

Back

x = 9 or x = -7

Front

What is the solution to |2x + 1| = 5?

Back

x = 2 or x = -3

Front

Solve the equation |x+10| = 11.

Back

x = 1 or x = -21

Front

If we solve |5x| = 40, what do we get?

Back

x = 8 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 is the general form of an absolute value equation?

Back

|A| = B can be expressed as A = B or A = -B.

Front

How do you isolate the absolute value in an equation?

Back

To isolate the absolute value, move all other terms to the opposite side of the equation.

Front

What is the first step in solving |x| = a?

Back

Set up two equations: x = a and x = -a.

Front

What does it mean if |A| = 0?

Back

It means A = 0.