According to the scatterplot below, which statement is correct?
A. The input, or dependent variable, is courses completed.
B. The output, or dependent variable is credits needed to graduate.
C. The input, or independent variable, is credits needed to graduate.
D. The output, or independent variable, is courses completed.
B
Last week, an office group spent $122 on 6 cheese pizzas and 4 salads. This week, the group spent $192 on 8 cheese pizzas and 6 salads. Let c represent the number cheese pizzas and s represent the number of salads. Which system of equations can be used to find the cost of one cheese pizza and one salad?
A. 6c + 4s = 122 C. 8c + 4s = 192
8c + 6s = 192 6c + 6s = 122
B. 6c + 4s = 192 D. 4c + 6s = 122
8c + 6s = 122 6c + 8s = 192
A
Which characteristic does NOT describe the scatterplot?
A. negative correlation
B. strong correlation
C. linear
D. weak correlation
D
In one day, a toy store sold 15 toy cars and 20 yo-yos for a total of $190. The next day, the toy store sold 3 toy cars and 12 yo-yos for a total of $102. What is the cost of one toy car?
A. $1 for one car C. $4 for one car
B. $2 for one car D. $8 for one car
B
The scatterplot below shows the shoe sizes of students and the number of books the students collected for the library book drive.
A. In general, each student collected a number of books equal to his or her shoe size.
B. In general, the shoe size of a student does not affect the number of books collected.
C. As shoe size increases, the number of books collected decreases.
D. As shoe size increases, the number of books collected increases.
B
Rachel drew the two graphs below.
Graph R Graph S
Rachel says that Graph R has a greater constant of variation than Graph S. Which statement explains whether Rachel is correct?
A. Rachel is correct; Graph S is non-proportional.
B. Rachel is correct; Graph R goes further along the x-axis.
C. Rachel is not correct; both graphs go through the origin and have the same constant of variation
D. Rachel is not correct; Graph S is steeper than Graph R.
D
A cross-country team had a total of 10 practices last week, with each practice being in the morning or the afternoon. During each morning practice, they ran 5 miles, and during each afternoon practice, they ran 6 miles. If they ran a total of 57 miles last week, how many morning practices did they have?
A. 3 B. 5 C. 6 D. 7
A
What is the slope of the line on the graph shown?
A. -1/2 C. 1
B. 1/2 D. 2
D
What is the slope of a line that passes through points (-20, 18) and (30, 14)?
A. -25/2 C. -2/5
B. -5/2 D. -2/25
D
A home cleaning service takes more time to clean larger spaces. The table shows the number of minutes it takes for the service to clean a certain number of square feet within a home.
Square Feet and Cleaning Time
# of Sq. Feet (x) 50 80 100 150
Time in Min (y) 20 32 40 60
Based on the table, how many minutes would it take for the service to clean 200 square feet?
A. 20 minutes C. 125 minutes
B. 80 minutes D. 400 minutes
B
Photography World has a portrait special. A three-pose portrait package has a sitting fee of $35, and a six-pose package has a sitting fee of $60. On a Saturday, $690 was collected in sitting fees. Which equation can be used to represent x, the number of three-pose portrait packages and y, the number of six-pose portrait packages?
A. 360x + 105y = 690 C. 105x + 360y = 690
B. 35x + 60y = 690 D. 60x + 35y = 690
B
What is the slope, m, and the y-intercept of the line that is graphed below?
A. m = 1; (0, 3) C. m = -1; (0, 3)
B. m = 1; (-3, 0) D. m = -1; (-3, 0)
A
Look at the table. What is the annual bonus for a salesperson who sells 55 cars?
Cars Sold Annual Bonus
120 $1,800
130 $1,950
150 $ 2,250
175 $ 2,625
A. $150 C. $1,500
B. $825 D. $8,250
B
An auto mechanic charges $50 to diagnose a problem and $25 per hour to repair the problem. If x represents the total number of hours worked and y represents the total charges, which equation represents this situation?
A. y = 25x + 50 C. y = 50x - 25
B. y = 50x + 25 D. y = 25x - 50
A
Which equation represents a line that has a slope of -1/2 and passes through point (4, -5)?
A. y = -1/2x + 3/2 C. y = -1/2x - 7
B. y = -1/2x + 13/2 D. y = -1/2x - 3
D
What are the slope and the y-intercept of the linear function that is represented by the equation
8x - 2y = 5?
A. The slope is -5/2 , and the y-intercept is 4.
B. The slope is 5/2 , and the y-intercept is 4.
C. The slope is 4, and the y-intercept is -5/2.
D. The slope is 4, and the y-intercept is 5/2
C
Using the linear combination method, what is the solution to the following system of linear equations?
5x + 3y = -10 and -20x - 7y = 15
A. (-5, 1) C. (1, -5)
B. (-1, 5) D. (5, -1)
C
In the table, x represents the age in years of a collectible baseball card, and y represents its value in dollars.
Cost of a Pack of Baseball Cards
Age in Years (x) Value in Dollars (y)
5 0.75
10 5.75
15 10.75
20 15.75
Which statement is correct about the slope of the linear function that the table represents?
A. The slope is positive because as the age decreases, the value increases.
B. The slope is positive because as the age increases, the value increases.
C. The slope is negative because as the age decreases, the value decreases.
D. The slope is negative because as the age increases, the value decreases.
B
The table of values below shows data for a five-word spelling test.
Number of Letters vs % who Spelled correctly
Word # of letters % correct spelling
1 7 48
2 9 12
3 5 73
4 6 59
5 8 27
Which describes how the data for word 2 should be plotted on a coordinate graph?
A. From the origin, go 2 units right and 9 units up.
B. From the origin, go 2 units right and 12 units up.
C. From the origin, go 9 units up and 12 units right.
D. From the origin, go 12 units right and 9 units up.
C
A tiling company completes two jobs. The first job has $1200 in labor expenses for 40 hours worked, while the second job has $1560 in labor expenses for 52 hours worked. The relationship between the labor expenses and the hours worked is linear. Which equation can be used to calculate the y-intercept of the linear equation?
A. 1200 = 40(40) + b C. 1560 = 30(52) + b
B. 1560 = 30(40) + b D. 1200 = 52(30) + b
C
Krista was assigned a homework problem that stated there were 45 stamps purchased for $18.75. Some stamps were 40 cents, and some stamps were 55 cents. To solve this problem, she wrote the system of equations that is shown below.
0.40x + y = 45 x + 0.55y = 18.75
Which explains the error Krista made?
A. Krista put 0.40 in the first equation meant for the number of stamps.
B. Krista put 0.55 in the second equation meant for the value of stamps.
C. Krista did not use the correct decimal to represent the total cost of the stamps.
D. Krista mistakenly put 45 in the first equation when it should have been in the second equation.
A
Which statement could be an interpretation of the graph’s x-intercept or y-intercept?
A. Tabitha took 6 hours to drive to her friend’s house.
B. Matthew used 12 gallons of gas in all.
C. Rosa will pay off her loan in the eighth month.
D. Eight members of Hoi's family were each charged $4 to go to a movie.
C
Dorien graphed the distance, y, traveled by 2 bikes in x seconds. If the two bikes are racing a distance of 100 feet, which bike will win the race?
A. Bike 2 will win because the slope of the line for Bike 2 is 54, which is greater than the slope of the line for Bike 1.
B. Bike 2 will win because the slope of the line for Bike 2 is 45, which is greater than the slope of the line for Bike 1.
C. Bike 1 will win because the slope of the line for Bike 1 is23, which is greater than the slope of the line for Bike 2.
D. Bike 1 will win because the slope of the line for Bike 1 is 32, which is greater than the slope of the line for Bike 2.
D
A daycare facility charges a fee for every minute that a parent is late after the facility’s published closing time. The table represents the fee, y, which is dependent on the number of minutes late, x.
X Y
5 32
8 50
11 68
Which of the following linear equations represents the situation?
A. y = 3x + 22 C. y = 6x + 2
B. y = 6x + 36 D. y = 24x + 36
C
Sarita has to solve the problem below for homework.
2x + 3y = 25
4x + 2y = 22
Which variable should she choose to solve for so that she can use substitution to solve the system?
A. Sarita should solve for y in the second equation because the coefficients can be reduced by a common factor to eliminate the coefficient for y.
B. Sarita should solve for x in the first equation because the coefficients can be reduced by a common factor to eliminate the coefficient for x.
C. Sarita should solve for y in the first equation because the coefficients can be reduced by a common factor to eliminate the coefficient for y.
D. Sarita should solve for x in the second equation because the coefficients can be reduced by a common factor to eliminate the coefficient for x.
A