Solving Multistep Equations with Variables on One Side

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

What does it mean to isolate the variable in an equation?

Back

Isolating the variable means rearranging the equation so that the variable is on one side and all other terms are on the other side.

Front

Solve the equation: 4(3x - 2) + 5 = 23

Back

13/6

Front

What is the first step in solving the equation 6(3x - 2) - 4 = 26?

Back

The first step is to simplify the left side by distributing the 6 and then combining like terms.

Front

Solve the equation: 2(4x - 3) = 10

Back

2

Front

What is the purpose of combining like terms in an equation?

Back

Combining like terms simplifies the equation, making it easier to solve for the variable.

Front

Solve the equation: 2(5x + 4) - 3(2x - 1) = 10

Back

-1/4

Front

What does it mean to check your solution in an equation?

Back

Checking your solution means substituting the value back into the original equation to verify that both sides are equal.

Front

Solve the equation: 3(2x - 1) - 4 = 11

Back

3

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.