Unit 4: 4-7 REVIEW

Front

How many solutions does the equation 5x - 8 = 5x + 1 have?

Back

No solutions

Front

Solve for x: |5x| = 40

Back

x = 8 and x = -8

Front

Solve for x: 7x + 26 = 9x - 34

Back

x = 30

Front

Solve for x: -7x - 11 = 3

Back

x = -2

Front

Solve the inequality: 2x + 5 < 3x - 6

Back

x > 11

Front

What is the definition of a solution in algebra?

Back

A solution is a value that satisfies an equation or inequality.

Front

What does it mean if an equation has no solutions?

Back

It means there are no values for the variable that can make the equation true.

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, always non-negative.

Front

How do you isolate a variable in an equation?

Back

You perform inverse operations to get the variable alone on one side of the equation.

Front

What is the principle of solving linear equations?

Back

The principle states that you can perform the same operation on both sides of the equation without changing the equality.