Math Core

This test covers the Linear Functions unit: slope and rate of change, slope-intercept form, point-slope form, standard form, parallel and perpendicular lines, and scatter plots with lines of fit.

Question 1

Find the slope of the line through $(-4, 7)$ and $(2, -3)$ .

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 2

What is the slope of the line through $(-2, 6)$ and $(5, 6)$ ?

Question 3

A hiker's elevation is a linear function of time. At $2$ hours she is at $1{,}430$ feet, and at $6$ hours she is at $1{,}690$ feet. What is her rate of change, in feet per hour?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 4

What are the slope and $y$ -intercept of $y = 8 - \dfrac{1}{4}x$ ?

Question 5

Write the equation of the line shown, in slope-intercept form.

y = 3x/4 - 2(0, -2)(4, 1)Open in grapher →

Enter an expression, e.g. 3x^2 - 2x + 1

Question 6

A streaming service charges a $10 setup fee plus $12.50 per month. Using $y = 12.5x + 10$ , find the total cost, in dollars, of $12$ months.

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 7

Write the equation of the line through $(2, 5)$ with slope $-3$ , in slope-intercept form.

Enter an expression, e.g. 3x^2 - 2x + 1

Question 8

Write the equation of the line through $(-4, 1)$ and $(6, 6)$ , in slope-intercept form.

Enter an expression, e.g. 3x^2 - 2x + 1

Question 9

What is the $x$ -intercept of $4x - 5y = 20$ ? Give it as an ordered pair.

Enter a point like (2, -3)

Question 10

Which is $y = -\dfrac{3}{5}x + 2$ written in standard form?

Question 11

How are the lines $y = \dfrac{5}{2}x - 1$ and $2x + 5y = 15$ related?

Question 12

Write the equation of the line through $(4, -5)$ that is parallel to $2x + y = 7$ , in slope-intercept form.

Enter an expression, e.g. 3x^2 - 2x + 1

Question 13

Write the equation of the line through $(-3, 0)$ that is perpendicular to $y = 3x + 4$ , in slope-intercept form.

Enter an expression, e.g. 3x^2 - 2x + 1

Question 14

A line of fit through the points $(2, 5)$ and $(8, 26)$ models a scatter plot. What is the slope of the line of fit?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 15

The line of fit $y = 2.4x + 15$ models a data set. One data point is $(10, 36)$ . What is the residual for this point?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.