Flashcard: Solving Multistep equations

Front

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

Back

x = 13/6

Front

Solve the equation: -8x - 8 + 3(x - 2) = -3x + 2

Back

x = -8

Front

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

Back

x = -6

Front

Solve: 5y + 34 = -2(-7y + 1)

Back

y = 4

Front

Solve for x: 4(1 - x) + 3x = -2(x + 1)

Back

x = -6

Front

What is a multistep equation?

Back

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

Front

What is the distributive property?

Back

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

Front

What does it mean to isolate a variable?

Back

To manipulate an equation so that the variable is on one side and all other terms are on the opposite side.

Front

What are like terms?

Back

Terms that have the same variable raised to the same power, which can be combined.

Front

What is the first step in solving a multistep equation?

Back

Identify and simplify any expressions on both sides of the equation.