###
Announcement! As of September 2019, the content of the Praxis Core mathematics test has changed. Learn more here.
###

offers hundreds of practice questions and video explanations. Go there now.

###
Announcement! As of September 2019, the content of the Praxis Core mathematics test has changed. Learn more here.
###

# Praxis Core Math: Linear Equation Practice Questions

Linear equations are classified as a type of algebra problem in the official Core Math Study Companion, but they behave like function questions in many ways. A linear equation is an equation that states the way that two algebraic variables will always behave in relation to each other, even when the values change.

In other words, linear equations show variables that are dependent on each other—when the value of one variable changes, the other variable’s value will also change. And the changes will be predictable. To give a very simple example, suppose the values of x and y are connected, so that whenever the value of x goes up by 1, the value of y also increases by 1. This is pretty predictable, right?

But even then, there still must be a point at which x and y intercept. This is the point at which x is 0. In the equation described in the above paragraph, if y is 0 when x is also 0, than the linear equation would be x = y. This is because x and  y will always have the same value if they intersect at 0 and each number goes up by 1 when the other number increases by 1. You can see how the linear equation of x and y’s exact equivalency goes up in the following table:

This same relationship could be expressed by drawing a line (hence the name linear equation) on a coordinate plane: graph for linear equation x = y
The linear equations you’ll come across in Praxis Core Math questions will be a good deal more complicated, of course. A more typical linear relationship might involve y increasing by 8 every time x increases by 2. 8 is four times as much as 2, so this means that y increases 4 times as quickly as x.

So in terms of the inter-related increase of x and y, y = 4x. Now if y and x both meet each other at 0, then y = 4x would be the correct linear equation. However, on the Praxis Core, the intercept will probably also be more complex than the example above. Let’s say that y is 3 when x is 0. To add this intercept to y = 4x, you can rewrite the linear equation as y = 4x + 3. On the Core Math test, the table for this equation would look like this: table for linear equation y = 4x + 3

And the graph for the equation might look something like this: graph for linear equation x = y

## Linear equation practice question, with table Which of the following equations expresses the relationship between and in the table above?

### 2 Responses to Praxis Core Math: Linear Equation Practice Questions

1. Kie July 20, 2016 at 6:54 PM #

The table is wrong for letter “C” in question 2.

• David Recine July 24, 2016 at 3:54 PM #

Yes, I just realized the point (9,26) doesn’t really look possible on the chart. I adjusted that to (9,21). Good catch, Kie!

Magoosh blog comment policy: To create the best experience for our readers, we will only approve comments that are relevant to the article, general enough to be helpful to other students, concise, and well-written! 😄 Due to the high volume of comments across all of our blogs, we cannot promise that all comments will receive responses from our instructors.

We highly encourage students to help each other out and respond to other students' comments if you can!

If you are a Premium Magoosh student and would like more personalized service from our instructors, you can use the Help tab on the Magoosh dashboard. Thanks!