Two-Step Equations/Inequalities

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve for the variable.

Front

How do you isolate a variable in a two-step equation?

Back

To isolate a variable, perform the inverse operations in the reverse order of how they are applied.

Front

Solve for c: 3c + 5 = 23

Back

c = 6

Front

What is the first step in solving the equation 5b - 6 = 24?

Back

Add 6 to both sides.

Front

What is the solution to the inequality 2x + 6 ≥ -8?

Back

x ≥ -7

Front

Solve for t: -5t + 9 = 24

Back

t = -3

Front

What does it mean to solve an inequality?

Back

To solve an inequality means to find the range of values that satisfy the inequality condition.

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 than or less than another.

Front

If Jim paid a gym membership fee of $50 plus $20 per month and has paid a total of $290, how many months has he been a member?

Back

12 months.

Front

What is the inverse operation of addition?

Back

Subtraction.