Solving Linear Equations in One Variable

Front

What is a constant in an equation?

Back

A constant is a fixed value that does not change. In the equation x - 6 = 3, the number 3 is a constant.

Front

What is a variable in an equation?

Back

A variable is a symbol, often represented by a letter, that stands for an unknown value. In the equation x - 6 = 3, x is a variable.

Front

What is a coefficient?

Back

A coefficient is a number that is multiplied by a variable in an equation. For example, in the equation 3x + 2 = 11, 3 is the coefficient of x.

Front

What is the first step to solve the equation x + 5 = 12?

Back

Subtract 5 from both sides of the equation.

Front

What is the inverse operation of addition?

Back

The inverse operation of addition is subtraction.

Front

What is the inverse operation of multiplication?

Back

The inverse operation of multiplication is division.

Front

How do you solve the equation 7x = 21?

Back

Divide both sides of the equation by 7. The solution is x = 3.

Front

If John has 12 pictures and now has 17, how many did his friend take?

Back

John's friend took 5 pictures.

Front

What does it mean to isolate a variable?

Back

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

Front

What is the solution to the equation g - 3 = -12?

Back

Add 3 to both sides of the equation. The solution is g = -9.