Equations review

Front

What is the solution to the equation 5(2x-3)=-45?

Back

-3

Front

Solve for x: 5x + 6 = 2(1 + 2x)

Back

-4

Front

What is the value of t in the equation 3(t + 4) - t = 20?

Back

4

Front

Find x in the equation 3(x + 3) - (x + 5) = 8x + 4.

Back

0

Front

What is the solution to the equation 2y - 1 = -23?

Back

-11

Front

What does it mean to isolate a variable in an equation?

Back

To manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What is the distributive property?

Back

A property that states a(b + c) = ab + ac, used to simplify expressions.

Front

What is the first step in solving the equation 5(x - 2) = 15?

Back

Apply the distributive property: 5x - 10 = 15.

Front

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

Back

To simplify the equation and make it easier to solve.