Math Core

This test covers unit rates with fractions, identifying proportional relationships, the constant of proportionality, and graphs and equations of proportional relationships.

Question 1

A dog walks $\dfrac{3}{4}$ mile in $\dfrac{1}{4}$ hour. What is its speed in miles per hour?

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

Question 2

A recipe uses $1\dfrac{1}{2}$ cups of flour for $\dfrac{3}{4}$ of a batch. How many cups of flour does a whole batch use?

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

Question 3

A robot paints $\dfrac{3}{8}$ of a fence in $\dfrac{1}{6}$ hour. How many fences does it paint per hour?

Type your answer like 2/3 or 1 1/3.

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

Question 4

Which table shows a proportional relationship?

Question 5

Which situation is not a proportional relationship?

Question 6

The cost of concert tickets is proportional to the number of tickets. 6 tickets cost $45. How many dollars do 10 tickets cost?

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

Question 7

Find the constant of proportionality for this table.

$x$	4	10	14
$y$	6	15	21

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

Question 8

A deli sells $\dfrac{2}{5}$ pound of turkey for $1.80. What is the constant of proportionality, in dollars per pound?

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

Question 9

What is the constant of proportionality for this graph?

y = 0.4x(5, 2)(10, 4)Open in grapher →

Type your answer like 2/3.

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

Question 10

A graph of a proportional relationship shows hours $x$ and dollars earned $y$ . It passes through $(1, 12)$ . What does this point mean?

Question 11

The graph of a proportional relationship passes through $(3, 10)$ . What is $y$ when $x = 9$ ?

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

Question 12

Which equation shows a proportional relationship?

Question 13

This table shows a proportional relationship. Write an equation in the form $y = kx$ .

$x$	5	10	15
$y$	4	8	12

Type only the right side, like 2x.

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

Question 14

The equation $y = 2.5x$ shows a proportional relationship. What is $x$ when $y = 40$ ?

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

Question 15

Car A travels 243 miles on 9 gallons of gas. Car B's distance is given by $d = 31g$ , where $d$ is miles and $g$ is gallons. On 12 gallons of gas, how many more miles does the car with the better gas mileage travel?

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