Solving Equations and Inequalities Retest

Front

What is the first step to solve the equation 3(x - 1) = 2x + 9?

Back

Distribute the 3 on the left side: 3x - 3 = 2x + 9.

Front

How do you isolate the variable in the equation 4ƒ = 44?

Back

Divide both sides by 4: ƒ = 44 / 4 = 11.

Front

What is the solution to the equation 4x + 2(x - 6) = 12?

Back

Combine like terms: 4x + 2x - 12 = 12, then solve for x: 6x = 24, x = 4.

Front

Identify the error in the following steps: 19 - 2k = 3k - 1; +3k; 19 + 1k = -1; -19; k = -20.

Back

The error is in the addition of 3k; it should be subtraction: 19 - 2k + 3k = -1.

Front

What is the solution to the equation 7x + 6 + 2x = 60?

Back

Combine like terms: 9x + 6 = 60; then solve for x: 9x = 54, x = 6.

Front

What does it mean to solve an inequality?

Back

To find the values of the variable that make the inequality true.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater or less than another.

Front

How do you check your solution for an equation?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the solution set of the inequality x + 3 < 7?

Back

x < 4.

Front

What is the process of combining like terms?

Back

Adding or subtracting terms that have the same variable raised to the same power.