3-2 Solving Equations by Using Addition and Subtraction B

Front

What is a variable in mathematics?

Back

A variable is an unknown number represented by a letter.

Front

What is the difference between an expression and an equation?

Back

Expressions do not have an equal sign, while equations do have an equal sign.

Front

How do you solve the equation 8 + n = 16 for n?

Back

Subtract 8 from both sides to get n = 8.

Front

What is the solution for x in the equation 1/4 + x = -7/12?

Back

x = -5/6.

Front

What is a constant in mathematics?

Back

A constant is the number that does not change.

Front

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

Back

To isolate a variable means to get the variable alone on one side of the equation.

Front

What is the first step in solving the equation x + 5 = 12?

Back

Subtract 5 from both sides to isolate x.

Front

What is the solution to the equation 3n = 12?

Back

n = 4.

Front

How do you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the purpose of using addition and subtraction in solving equations?

Back

Addition and subtraction are used to manipulate the equation to isolate the variable.