Solving Equations

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is the first step in solving the equation 6x - 7 = 12?

Back

Add 7 to both sides to isolate the term with the variable.

Front

What is the solution to the equation 6x - 7 = 12?

Back

x = 19/6.

Front

What does the distributive property state?

Back

The distributive property states that a(b + c) = ab + ac.

Front

How do you apply the distributive property to -3(2c - 5)?

Back

Multiply -3 by both 2c and -5 to get -6c + 15.

Front

What is the solution to the equation -3(2c - 5) = 15?

Back

c = 0.

Front

What is the goal when solving for y in the equation 4y - 7 = 2y + 7?

Back

Isolate y by moving all y terms to one side and constant terms to the other.

Front

What is the solution to the equation 4y - 7 = 2y + 7?

Back

y = 7.

Front

What is the process to solve the equation 12 - 4x - x = 2?

Back

Combine like terms and isolate x.