Question 1

Artie had 25 tickets to use at the school carnival. Each activity cost 2 tickets. Which linear function represents the relationship between x, the number of activities in which Artie participated and y, the number of tickets he had left at the end of the day?

  1. y = 25 − 2x

  2. y = 2x − 25

  3. y = 25 + 2x

  4. y = 2(25 − x)

Question 2

Which of the following tables best represents a linear relationship?

A.
x
y
10
20
15
40
20
80
30
160
B.
x
y
0
0
1
4
2
10
3
15
C.
x
y
1
3
2
4
4
5
6
6
D.
x
y
5
8
6
12
7
16
8
20

Question 3

Which verbal description best matches the equation 3x – 1 = 215?

Question 4

Which verbal description does NOT match the equation y = 2x + 3?

Question 5

The perimeter of a square is represented by the equation y = 4x, where x represents the length of each side and y is the perimeter of the square. What is the domain of this function?

  1. D = {y > 0}

  2. D = {y ≥ 0}

  3. D = {x > 0}

  4. D = {x ≥ 0}

Question 6

A quadratic function is shown in the graph below.

What is the range of this function?

  1. R = {x ≤ 7}

  2. R = {x < 7}

  3. R = {y < 7}

  4. R = {y ≤ 7}

Question 7

The table below shows various values for x and y.
x
y
5
3
10
4
15
5
20
6

Which equation best describes the relationship between x and y?

  1. y = 5x + 1

  2. y = 1 5 x + 2

  3. y = x − 2

  4. y = x − 14

Question 8

Mrs. Ming displayed the graph shown below to her class.

Which of the following representations does NOT match the graph shown above?

  1. y = 3x − 2

  2. One number is 2 less than twice the first number, x. What is the sum of the 2 numbers?


  3. x
    y
    -8
    -2
    -2
    0
    1
    1
    4
    2

  4. The value of y is two less than 3 times the value of x.

Question 9

In the distance formula d = rt, r represents the rate of change, or slope. Which ray on the graph best represents a slope of 30 mph?

Quetsion 10

The graph below shows the temperature change on July 14, 2011 between 9 A.M. and 12 P.M. in Houston, Texas.

Which statement best describes the rate of change in the temperature?

Question 11

What is the slope of the line that contains the coordinate points (9, –2) and (–1, 3)?

  1. - 1 2
  2. -2
  3. - 5 8
  4. 11 4

Question 12

A linear function contains the points shown in the table below. What is the slope of the linear function?

x
y
-4
5
0
3
2
2
6
0
  1. 1 2

  2. 2

  3. -2

  4. - 1 2

Question 13

What is the slope of the linear function shown in the graph?

  1. - 4 3

  2. - 3 4

  3. 4 3

  4. 3 4

Question 14

At Infinity Phones the cost of a new cell phone is $89 for the cell phone plus $25 per month for the call plan. The same cell phone can be purchased at Twilight Phones for $89 plus $30 per month for the call plan. In a graph of the cost of purchasing a phone, what does the $89 represent?

  1. the y-intercept
  2. the x-intercept
  3. the slope
  4. the point of intersection

Question 15

Mrs. Ali purchased a computer to handle the billing of her customers. The graph below shows the value of the computer over a period of time.

Which of the following best describes this situation?

Question 16

Which best describes the effect on the graph of y = –2x + 5 if the y-intercept is changed to 2?

Question 17

The graph of a linear function is shown on the coordinate grid below.

If the y-intercept remains the same and the slope is changed to 2, which statement best describes the new line?

Question 18

Which linear function includes the points (–1, 7) and (3,–5)?

  1. y = - 1 3 x + 4

  2. y = -3x + 4

  3. y = -3x + 20

  4. y = 3x + 14

Question 19

Which equation describes a line that has a y-intercept of 4 and a slope of 2 3 ?

  1. y = 2 3 x + 4

  2. y = 4x + 2 3

  3. y = (x + 4) 2 3

  4. y = (4x + 1) 2 3

Question 20

What are the x- and y-intercepts of the function graphed below?

Question 21

Which of the following ordered pairs is the x-intercept or the y-intercept of the function 3x – y = 6?

Question 22

Benjy's Bounce House charges a basic fee plus an additional charge for each hour a bounce house is rented. The table below shows the relationship between h, the number of hours rented and c, the total cost for the rental.

Number of
Hours, h
Total Cost, c
3
$125
4
$135
6
$155
8
$175

If Benjy's Bounce House decides to increase the basic fee by $25 but keep the charge per hour rented the same, what will be the total cost for renting a bounce house for 12 hours?

Question 23

Carri is making bracelets to sell in support of a sick friend. The graph below shows the total number of bracelets made compared to the number of hours that she has been working.

How would the graph change if Carri could make 3 bracelets per hour?

  1. The y-intercept would increase.
  2. The y-intercept would decrease.
  3. The steepness of the line would decrease.
  4. The steepness of the line would increase.

Question 25

Joaquin races dirt bikes. The data shown in the table below was collected during a trial run.

Time
(minutes)
Distance
(miles)
6
3.6
12
7.2
18
10.8

If Joaquin continues to race at the rate shown in the table, what is the approximate distance he will cover in 30 minutes?