Question 1

The number of hours Adrianna practices tennis each week, t, is 5 more than the number of hours she goes to school, s. Which equation represents the number of hours she goes to school each week?

1. s = t − 5


2. t = s − 5


3. t = 5s


4. s = t + 5

Question 2

A computer specialist charges an $85 service fee plus $35 per hour. Which equation could be used to find n, the total cost for a job that takes h hours to complete?

1. h = 35n + 35


2. n = 35 + 85h


3. n = 35h + 85


4. h = 35 + 85n

Question 3

Tashon has a budget of $125 to spend on party supplies. The tablecloth she wants to buy costs $22.25 and the plastic ware that she wants cost $3.75 per set. All prices include tax. Which inequality could be used to determine p, the maximum number of plastic ware Tashon can buy if she also buys the tablecloth?

1. 22.25 + 3.75p ≥ 125


2. 22.25 + 3.75p ≤ 125


3. 26p < 125


4. 22.25 + 3.75p < 125

Question 4

Bottled water and medical supplies are to be shipped to survivors of an earthquake by plane. Each plane can carry no more than 80,000 pounds. The bottled water weighs 20 pounds per container and each medical kit weighs 10 pounds. If x represents the number of bottles of water to be shipped and y represents the number of medical kits, which inequality models the number of containers and kits that can be shipped?.

1. 20x + 10y ≤ 80,000


2. 20x + 10y ≥ 80,000


3. 20y + 10x ≤ 80,000


4. 30x < 80,000

Question 5

If (x, –1.2) is a solution to the equation 3x = 5y – 12, what method could NOT be used to find the value of x?

1. Substitute -1.2 in for y in the equation and solve for x.
2. Solve the equation for y, and use a graphing calculator to graph the equation. Then use the table feature to find the value for x.
3. Substitute -1.2 in for x in the equation and solve for y.
4. Solve the equation for x. Then substitute -1.2 in for y.

Question 6

Parker was asked to determine if (-6, 10) was a solution to the inequality 2x + 3y > 9. Which method could be used to determine the solution?

1. Substitute –6 in for y and 10 in for x. Then determine if the inequality is a true statement.
2. Solve the inequality for y, graph it, and shade the appropriate region. Then determine if (-6, 10) is the unshaded region.
3. Solve the inequality for y and graph it. Then determine if (-6, 10) is a point on the line.
4. Substitute -6 in for x and 10 in for y. Then determine if the inequality is a true statement.

Question 7

If (-2.5, y) is a solution to the equation 3x + 12 = 5y, what is the value of y?

Question 8

The graphs of linear equations y = 3x − 5 and y = -2x + 10 are shown below.

If 3x − 5 = -2x + 10, what is the value of x?

Question 9

Which graph shows the solution for 2x + y > 5?

A.	C.
B.	D.

10 question

The cost of downloading a song from a certain website is described by the function

g(x) = 1.29x

in which g(x) is the cost and x is the number of songs downloaded. If Benito has $10 to spend, what is the maximum number of songs that he can download if tax is not considered?

Question 13

Jackson plans to go snow skiing this winter. The cost of renting skis at the ski resort is $12 per day or he could buy skis for $314. Jackson believes that it would cost less to buy skis than to rent them since he plans to ski for 15 days. Is his conclusion reasonable?

1. Yes. If x represents the number of days rented then 12x < 314 and 12(15) < 314.


2. Yes. If x represents the number of days rented then 12x > 314 and 12(15) > 314.


3. No. If x represents the number of days rented then 12x < 314 and 12(15) < 314.


4. No. If x represents the number of days rented then 12x > 314 and 12(15) > 314.

Question 14

A rectangular table has a perimeter of 216 inches. The table's width, y, is 12 inches less than the length, x. Which system of linear equations can be used to determine the dimensions, in inches, of the table?

1. 2x + 2y = 216
   y = 12 − x


2. 2x + 2y = 216
   x = y − 12


3. 2x + 2y = 216
   y = x − 12


4. 2x + 2y = 216
   y + x = 12

Question 15

Frieda's Frozen Treats sells popsicles for $0.75 and frozen yogurt cones for $2.25. Yesterday, Frieda sold 8 more popsicles than frozen yogurt cones and made $192. Which system of equations could be used to find the number of popsicles, p, and frozen yogurt cones, f, that she sold yesterday?

1. 0.75p + 2.25f = 192
   f = p + 8


2. 0.75p + 2.25f = 192
   p = f + 8


3. 2.25p + 2.25f = 192
   p = f + 8


4. 0.75p + 2.25f = 192
   p = f − 8

Question 16

The model below represents the systems of equations:

x + 2y = 10
y = 3x – 2

What is the solution to this system of equations?

Question 17

What is the value of the y for this system of equations?

x + y = -2
2x – y = 5

Question 18

Which graph best represents a solution to this system of equations?

3x + y = 3
y = - 1 2 x − 2

A.	C.
B.	D.

Question 19

If the system of linear equations 3x + 2y = 4 and y = 2x + 9 are graphed on the same coordinate grid, which of the following is the solution to this system of linear equations?

Question 20

Candy's Cupcakes sells x dozen of red velvet cupcakes. The tables below show the revenue and income for her business. How many dozen red velvet cupcakes does Candy need to sell to break even?

Question 21

The data for a system of linear equations is shown in the tables below.

What is the solution to this system of linear equations?

Question 22

What is the x-coordinate of the solution to the system of linear equations below?

6x − 5y = 3
2x − y = -1

Question 23

At a spaghetti supper, 285 people were served and $1095 was collected. If the cost of a, an adult's ticket to the spaghetti supper, was $5 and the cost of c, a child's ticket, was $2, what was the number of children's tickets sold?