Question 1

Which of the following graphs best represents a system of equations that has no solution?

Accepted Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/49678a0a2b11f92caf1e62e94876fb80a885a207.png

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/8e08e1dd8807310770cdd262ecef7c3194ff7d41.png

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/0c59fe7faec5f7da3f34f0545809f7a4f975174a.png

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/c4b77fdd4986adbc864dd0b7e48941bd6408668c.png

Question 2

What is the value of x in the solution to the system of equations below?

6x + 3y = 13
3x − y = 4

Accepted Answer

$\frac{5}{3}$

Answer

1

Answer

$\frac{7}{3}$

Answer

$\frac{8}{3}$

Question 3

A high school band held a bake sale. The number of cupcakes sold was four more than twice the number of cookies sold. The band sold a total of 52 cupcakes and cookies. How many cupcakes were sold?

Accepted Answer

36

Answer

24

Answer

28

Answer

16

Question 4

What is the value of x in the solution to the system of equations below?
15x − 12y = 13
30x + 9y = 4

Accepted Answer

$\frac{1}{3}$

Answer

- $\frac{17}{3}$

Answer

-$\frac{2}{3}$

Answer

$\frac{1}{6}$

Question 5

There are 156 laptops and desktop computers in a lab. There are 8 more laptops than desktop computers. What is the total number of laptops in the lab?

Accepted Answer

82

Question 6

A candy company sells cases of chocolate bars. The company has fixed costs of $30,000, and each case of chocolate bars costs an additional $5 to make. The company sells each case for $10. The graph of a system of linear equations representing this company’s costs and revenue for manufacturing and selling x cases of chocolate bars is shown below.
How many cases of chocolate bars will this company need to sell in order for costs and revenue to be equal?

Accepted Answer

6,000

Answer

60,000

Answer

3,500

Answer

35,000

Question 7

One wall inside a shoe store is used to display walking shoes and running shoes. There are 135 pairs of shoes in this display. There are 1.5 times as many pairs of walking shoes as there are running shoes on display. How many pairs of walking shoes and running shoes are on display?

Accepted Answer

81 pairs of walking shoes and 54 pairs of running shoes.

Answer

45 pairs of walking shoes and 90 pairs of running shoes.

Answer

54 pairs of walking shoes and 81 pairs of running shoes.

Answer

90 pairs of walking shoes and 45 pairs of running shoes.

Question 8

What is the value of x in the solution to this system of equations?

3x = 2y + 14
y = -6x + 18

Accepted Answer

$\frac{10}{3}$

Answer

2

Answer

-$\frac{10}{3}$

Answer

-2

Question 9

What is the solution to the system of equations below?

4x - 7y = -2
12x - 21y = -42

Accepted Answer

There is no solution.

Answer

The ordered pair (-$\frac{1}{2}$, 0) is the solution.

Answer

The ordered pair (0, $\frac{2}{7}$) is the solution.

Answer

There are an infinite number of solutions.

Question 10

A projectile is launched into the air from the ground. The table shows the height of the projectile, h(t), at different times. Based on the table, which function can best be used to model this situation?

Accepted Answer

h(t) = -4.9t$^2$ + 295t + 0.6

Answer

h(t) = 99t$^2$ + 1,470.3

Answer

h(t) = -4.9t$^2$ + 295t + 2

Answer

h(t) = 99t$^2$ + 858

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