Equations w variables on both sides (15 q med no spec soln) + 5 multistep equations 2021

Front

What is an equation with variables on both sides?

Back

An equation where the variable appears on both sides of the equal sign, requiring manipulation to isolate the variable.

Front

How do you solve an equation with variables on both sides?

Back

1. Simplify both sides if necessary. 2. Move all terms containing the variable to one side and constant terms to the other. 3. Isolate the variable.

Front

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

Back

y = 4

Front

Solve: 7x - 4 = 3 + 8x

Back

x = -7

Front

What does it mean to isolate a variable?

Back

To manipulate an equation so that the variable is alone on one side of the equation.

Front

What is a multistep equation?

Back

An equation that requires more than one step to solve, often involving combining like terms and using inverse operations.

Front

Solve: -6(1 - 6r) = -2(r + 3)

Back

r = 0

Front

Solve: 10x + 9 = 4x - 9

Back

x = -3

Front

What is the first step in solving the equation 7w + 5 = 3w - 15?

Back

Subtract 3w from both sides to combine like terms.

Front

Solve: 7w + 5 = 3w - 15

Back

w = -5