Algebra Review

Front

What is the first step to solve the equation 2(y - 4) = 16?

Back

Distribute the 2 to get 2y - 8 = 16.

Front

How do you isolate x in the equation 5(x + 2) = 4(x + 3)?

Back

First, distribute both sides: 5x + 10 = 4x + 12, then subtract 4x from both sides.

Front

What is the solution to the equation 5x - 4 + 2x = 3?

Back

x = 1.

Front

What is the solution to the equation 4x + 3 = -5?

Back

x = -2.

Front

What operation do you perform first when solving 10 + 7m = 17?

Back

Subtract 10.

Front

What is the definition of a variable in algebra?

Back

A symbol used to represent an unknown value.

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.

Front

What is the distributive property?

Back

a(b + c) = ab + ac.

Front

What is the solution to the equation 3x + 5 = 20?

Back

x = 5.

Front

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

Back

To simplify the equation and make it easier to solve.