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 appear in the equation.

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

Solve the equation 2r - 3.1 = 1.7.

Back

Add 3.1 to both sides to get 2r = 4.8, then divide by 2 to find r = 2.4.

Front

What does it mean to have a negative coefficient in an equation?

Back

A negative coefficient indicates that the variable's value will decrease when multiplied by that coefficient.

Front

Solve the equation -7(z - 6) = -70.

Back

Distribute -7 to get -7z + 42 = -70, then isolate z to find z = 16.

Front

What is the purpose of distributing in an equation?

Back

Distributing allows you to eliminate parentheses and simplify the equation for easier solving.

Front

Solve the equation -3 + 8n = -5.

Back

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

Front

What is the solution to the equation 5 + 1/7b = -2?

Back

Subtract 5 from both sides to get 1/7b = -7, then multiply by 7 to find b = -49.