Solving Linear Equations

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when it is 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 6(2x + 1) = 18?

Back

Distribute the 6 to both terms inside the parentheses: 12x + 6 = 18.

Front

How do you isolate the variable in the equation 12x + 6 = 18?

Back

Subtract 6 from both sides to get 12x = 12, then divide by 12 to find x = 1.

Front

What is the solution to the equation 2(3x + 4) + 2 = 4 + 3x?

Back

The solution is x = -2.

Front

How do you set up an equation to compare two different pricing models?

Back

Set the total cost of each model equal to each other. For example, for Joe’s Canoes and Callie’s Canoes, set 20 + 4h = 14h.

Front

What is the solution to the equation 20 + 4h = 14h?

Back

The solution is h = 2 hours.

Front

What does 'eight less than three times a number' look like in equation form?

Back

It is represented as 3x - 8.

Front

How do you write 'ten more than one and a half times the same number' in equation form?

Back

It is represented as 1.5x + 10.

Front

What is the equation formed by 'eight less than three times a number is equivalent to ten more than one and a half times the same number'?

Back

The equation is 3x - 8 = 1.5x + 10.