Solving Multistep/Variables on both sides Equations

Front

What is the equation that models Cheryl's earnings if she gets paid $8 per hour and made a total of $96?

Back

8h = 96

Front

Solve the equation: 2x + 3(5x - 7) = 47

Back

x = 4

Front

Solve the equation: 3(s + 2) - s = 38

Back

s = 16

Front

What is a multistep equation?

Back

An equation that requires more than one step to solve, often involving combining like terms and isolating the variable.

Front

What does it mean to have variables on both sides of an equation?

Back

It means that the variable appears on both sides of the equation, requiring manipulation to isolate the variable.

Front

How do you isolate a variable in an equation?

Back

By performing inverse operations to both sides of the equation until the variable is alone.

Front

What is the first step in solving the equation 5x + 3 = 23?

Back

Subtract 3 from both sides to get 5x = 20.

Front

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

Back

x = 7.

Front

What is the distributive property?

Back

A property that states a(b + c) = ab + ac, used to simplify expressions.

Front

How do you check your solution for an equation?

Back

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