Solving Linear Equations

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form ax + b = c, where a, b, and c are constants.

Front

What does it mean to solve a linear equation?

Back

To solve a linear equation means to find the value of the variable that makes the equation true.

Front

What is the first step in solving the equation 7x - 4 + x = -1 + 13x + 7?

Back

Combine like terms on both sides of the equation.

Front

How do you combine like terms in an equation?

Back

You add or subtract the coefficients of the same variable. For example, in 7x + x, you combine to get 8x.

Front

What is the perimeter of a rectangle?

Back

The perimeter of a rectangle is the total distance around it, calculated as P = 2(length + width).

Front

If the perimeter of a rectangle is 42 inches, and one side is x, what is the equation to find the other side?

Back

If the other side is y, the equation is 2(x + y) = 42.

Front

What is the solution to the equation 7x - 4 + x = -1 + 13x + 7?

Back

The solution is x = -2.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.

Front

What is the simplified form of -6a + 9a + 4 - 2?

Back

The simplified form is 3a + 2.

Front

What is the value of x in the equation 3x + 5 = 20?

Back

x = 5.