Solve Two-Step Equations

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve for the variable.

Front

How do you isolate a variable in a two-step equation?

Back

To isolate a variable, perform the inverse operations in the reverse order of how they are applied.

Front

What is the first step to solve the equation -8s + 1 = 33?

Back

Subtract 1 from both sides to get -8s = 32.

Front

What is the second step to solve the equation -8s = 32?

Back

Divide both sides by -8 to find s = -4.

Front

How do you solve the equation -3 + 8n = -5?

Back

First, add 3 to both sides to get 8n = -2, then divide by 8 to find n = -1/4.

Front

What does it mean to multiply both sides of an equation by a number?

Back

Multiplying both sides by the same number keeps the equation balanced.

Front

How do you solve the equation (v + 5)(-1/9) = 6?

Back

First, multiply both sides by -9 to get v + 5 = -54, then subtract 5 to find v = -59.

Front

What is the purpose of using parentheses in equations?

Back

Parentheses indicate which operations should be performed first according to the order of operations.

Front

How do you solve the equation 0.25(3 + a) = 0.5?

Back

First, multiply both sides by 4 to eliminate the decimal, giving 3 + a = 2, then subtract 3 to find a = -1.

Front

What is the solution to the equation 12(x - 20) = -48?

Back

First, divide both sides by 12 to get x - 20 = -4, then add 20 to find x = 16.