Multi-step Equations

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve, often involving operations such as addition, subtraction, multiplication, and division.

Front

What is the first step to solve the equation 3x + 5 = 20?

Back

Subtract 5 from both sides to isolate the term with the variable.

Front

How do you simplify the expression -8 + (15 - 3) ÷ 4?

Back

First, calculate (15 - 3) = 12, then divide by 4 to get 3. Finally, -8 + 3 = -5.

Front

What does it mean to distribute in an equation?

Back

To distribute means to multiply a term outside the parentheses by each term inside the parentheses.

Front

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

Back

x = 1.

Front

Which operation should be performed first when solving the equation 5 - 2(x - 7) = x + 1 + 3x?

Back

You cannot perform the operation 5 - 2 first; you should distribute -2 to (x - 7) first.

Front

What is the first step in solving the equation 5x + 7 = 12?

Back

Subtract 7 from both sides.

Front

What is the first step in solving the equation 2a - 4(a - 5) = 10?

Back

Distribute -4 to both a and -5.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

What is the solution to the equation 4x - 3 = 5x + 2?

Back

x = -5.