Solving Multistep Equations

Front

What is a multistep equation?

Back

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

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What does it mean to distribute in an equation?

Back

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

Front

Solve for x: 2x + 3 = 11

Back

x = 4

Front

What is the first step in solving the equation 3x + 5 = 20?

Back

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

Front

Solve for a: 4(a + 2) = 28

Back

a = 5

Front

What is the solution to the equation 5x - 7 = 3?

Back

x = 2

Front

Identify the error: 2(x + 3) = 14; Step 1: Distribute to get 2x + 6 = 14; Step 2: Subtract 6 from both sides; Step 3: x = 4.

Back

The problem is worked correctly.

Front

Solve for h: 10(h - 2) + 5 = 45

Back

h = 5

Front

What is the solution to the equation 6x + 2 = 20?

Back

x = 3