Solving Multistep Equations

Front

What is a multistep equation?

Back

A multistep equation is an equation that requires more than one step to solve. It often involves combining like terms, using the distributive property, and isolating the variable.

Front

What is the first step to solve the equation 4x + 10 = -26?

Back

Subtract 10 from both sides to isolate the term with the variable: 4x = -26 - 10.

Front

How do you isolate the variable in the equation 4x = -36?

Back

Divide both sides by 4 to solve for x: x = -36 / 4.

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

Solve for x: 4 = 2(x + 3)

Back

x = -1.

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.

Front

How do you solve the equation 2m + 6m = 32?

Back

Combine like terms to get 8m = 32, then divide both sides by 8 to find m = 4.

Front

What is the solution to the equation 6 - 3a = 21?

Back

a = -5.

Front

How do you check your solution for an equation?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

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

Back

x = -6.