Review for Flashcard #3 - Solving One-Variable Equations

Front

Solve for b: -11 + 3(b + 5) = 7

Back

b = 1

Front

Solve for k: 38 + 7k = 8(k + 4)

Back

k = 6

Front

What is the first step to solve this equation: -3x - 11 = 44?

Back

Add 11 to both sides.

Front

Solve for x: 2x - 1(3 + 4x) = 11

Back

x = -7

Front

What operation would you perform first and then second when solving for m in the equation 10 + 7m = 17?

Back

subtract 10, divide by 7

Front

What is a one-variable equation?

Back

An equation that contains only one variable, such as x or y.

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 other side.

Front

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

Back

To simplify the equation and make it easier to solve.

Front

What is the distributive property?

Back

a(b + c) = ab + ac; it allows you to multiply a single term by each term inside a parenthesis.

Front

What is the first step in solving the equation 5x + 3 = 18?

Back

Subtract 3 from both sides.