Math Core

This test covers the coordinate plane, graphing linear equations, slope, and slope-intercept form.

Question 1

Start at the origin, move 2 units right and 5 units down. What point do you reach?

Enter a point like (2, -3)

Question 2

Which quadrant contains the point $(-6, -1)$ ?

Question 3

How far apart are the points $(3, -4)$ and $(3, 6)$ ?

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

Question 4

Reflect the point $(-2, 7)$ over the $y$ -axis. What are the coordinates of the new point?

Enter a point like (2, -3)

Question 5

For the equation $y = -3x + 2$ , what is $y$ when $x = -2$ ?

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

Question 6

Which point is on the graph of $2x + y = 9$ ?

Question 7

What is the $y$ -intercept of the line $3x - 4y = 12$ ? Give it as an ordered pair.

Enter a point like (2, -3)

Question 8

Find the slope of the line through $(1, -2)$ and $(5, 10)$ .

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

Question 9

What is the slope of this line?

y = -2x/3 + 5/3(-2, 3)(4, -1)Open in grapher →

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

Question 10

What is the slope of the line $x = 4$ ?

Question 11

The table shows a linear relationship. What is its slope?

$x$	2	4	6	8
$y$	1	6	11	16

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

Question 12

Write the equation of the line with slope $-\dfrac{1}{2}$ and $y$ -intercept 4.

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

Question 13

Which equation is $6x + 3y = 12$ written in slope-intercept form?

Question 14

Write the equation of the line through $(-1, -5)$ and $(2, 4)$ .

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

Question 15

A candle is 30 cm tall and burns down 2 cm every hour. Its height after $x$ hours is $y = -2x + 30$ . After how many hours will the candle be 12 cm tall?

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