Math Core

This test covers functions, slope, slope-intercept form, proportional versus linear relationships, comparing functions, and linear models.

Question 1

Which table is not a function?

Question 2

A function has the rule $y = 6x - 1$ . What is the output when the input is 4?

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

Question 3

Find the slope of the line through $(-1, 7)$ and $(3, -5)$ .

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

Question 4

What is the slope of this line?

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

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

Question 5

Which line has an undefined slope?

Question 6

What is the $y$ -intercept of the line $y = 9 - 4x$ ?

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

Question 7

Write the equation of the line through $(1, 2)$ and $(3, 8)$ in slope-intercept form.

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

Question 8

Write the equation of this line.

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

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

Question 9

Which situation is a proportional relationship?

Question 10

The cost of rice is proportional to its weight. 4 pounds cost $10. How many dollars do 7 pounds cost?

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

Question 11

Function A is $y = 5x - 3$ . Function B is given by the table. Which statement is true?

$x$	0	1	2
$y$	4	10	16

Question 12

Which table shows a nonlinear function?

Question 13

A bike rental shop charges a fixed fee plus an hourly rate. A 2-hour rental costs $26 and a 5-hour rental costs $47. Write a model for the cost $y$ in dollars of an $x$ -hour rental.

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

Question 14

Using the bike rental model from the last problem, how many dollars does an 8-hour rental cost?

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

Question 15

The graph shows the depth of water in a bathtub over time. Which description matches?

Water depth (inches) over time (minutes).Open in grapher →