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

Solve for a: 6 - 3a = 21

Back

a = -5

Front

What is the first step to solve the equation 4 = 2(x + 3)?

Back

Distribute the 2 to both terms inside the parentheses: 4 = 2x + 6.

Front

Solve for x: 4x + 10 = -26

Back

x = -9

Front

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

Back

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

Front

Solve for x: 5x - 14 = 8x + 4

Back

x = -6

Front

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

Back

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

Front

What is the solution to the equation 4 = 2(x + 3) after simplifying?

Back

x = -1.

Front

What is the importance of the equal sign in an equation?

Back

The equal sign indicates that the expressions on both sides of the equation have the same value.