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Math 1 Grade 8 Midterm Exam

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Last updated over 2 years ago
20 questions
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Questions 1 - 8 are calculator inactive. Questions 9-40 are calculator active
Question 1
1.

Solve the following equation for x. Type your answer in the space provided.
3(5 + 2x)-4x = -5x + 1

Question 2
2.

Clare shopped at the Mast General Store for a camping trip.
  • She spent $131 on hiking socks and dry bags.
  • Hiking socks cost $15 and dry bags cost $28.
  • She bought a total of 7 items.
How many more pairs of hiking socks did she buy than dry bags?

Question 3
3.
Other Answer Choices:
150
30
Question 4
4.

Solve the system of equations to find the value of x - y:
5x + 7y =1
x = -2y + 2

Question 5
5.

Question 6
6.

Question 7
7.

Question 8
8.

Question 9
9.

Question 10
10.

Question 11
11.

Question 12
12.

Question 13
13.

Question 14
14.

Question 15
15.

Question 16
16.

Question 17
17.

Question 18
18.

Question 19
19.

Question 20
20.

Noah sells hotdogs and nachos at the Asheville Tourists baseball game as a walking vendor.
  • Each hotdog costs $2.00 and each plate of nachos costs $3.50.
  • Noah’s goal is to make at least $150.00 each time he walks through the crowd.
  • He can carry a maximum of 30 items at a time.
Write a system of linear inequalities that models these constraints where x represents the number of hotdogs sold and y represents the number of plates of nachos sold:

________ + ________ \leq _______
________ + ________ \geq ________
Which graph has a shaded region that represents the solution to the system of inequalities?
4x-6y \leq 24
y < 6-3x
Which of the following is the inequality for the graph shown below:

2x + 3y < 12
2x + 3y \leq 12
2x+3y > 12
2x+3y \geq 12
15 student scores were reported in the 20 problem “Elevating Elementary” math competition. Here are the number of problems that each student got correct:
[12,9,8,9,8,9,10,13,7,10,11,12,10,10,11]

Suppose that one student’s score had been lost, but when found, it was revealed that she got 19 problems correct!

Select ALL of the statements that are true.
The median would increase more than the mean
The mean would increase more than the median
The standard deviation would increase
The standard deviation would decrease
15 students participated in the 20 problem “Elevating Elementary” math competition. Here are the number of problems that each student got correct:
[12,9,8,9,8,9,10,13,7,10,11,12,10,10,11]

Which of the following statements is true?
The most appropriate measure of the center would be mean, and the most appropriate measure of the variability would be IQR.
The most appropriate measure of the center would be mean, and the most appropriate measure of the variability would be standard deviation.
The most appropriate measure of the center would be median, and the most appropriate measure of the variability would be IQR.
The most appropriate measure of the center would be median, and the most appropriate measure of the variability would be standard deviation.
Two car dealerships recorded the number of cars they each sold every month for a year. The data is displayed below in the boxplots.


Select ALL of the statements that are true.
Dealership A’s IQR is higher than Dealership B’s IQR
Dealership B’s IQR is higher than Dealership A’s IQR
Dealership A and B have a similar IQR.
Dealership A and B typically sold about the same amount of cars
Dealership A typically sold more cars than Dealership B
Dealership B typically sold more cars than Dealership A.
A new video streaming service charges a $15.00 monthly fee which includes streaming 5 movies. Each movie streamed after the 5th movie costs an additional $1.25. Which of the equations below relates streaming m movies if the total monthly cost is $22.50?
15 + 1.25m = 22.50
15 + 1.25(m-5) = 22.50
15 + 5+1.25m = 22.50
15 + 1.25(m+5) = 22.50
A “friends and family” plan for a music streaming service has a base monthly cost that includes 2 users. There is an extra charge for each additional user included on the account.

The equation 11.50 + 4.50(x - 2) = 20.50 represents the Smith family’s monthly cost.

Which of the following statements is true?
The Smith family has 4 users on their plan.
The Smith family receives a discount of $2.00 per month.
The Smith family pays $16.00 per month for streaming services.
The Smith family pays $6.50 per person for streaming services.
The area of a trapezoid can be found using the formula:


Which of the following equations is equivalent to the formula solved for B, one of the bases of the trapezoid?
B= \frac{2A-h}{C}
B= \frac{h(A+C)}{2}
B= \frac{2A-C}{h}
B= \frac{2A}{h}-C
Jada is considering becoming a member of the Asheville Country Club. Dues are $450.00 every three months and there is a fee for each round of golf she plays. She plans to spend, on average, less than $200.00 per month on golf, and uses the following inequality to represent the constraint:


Choose the statement that best describes the solution to the inequality.
x < 7.5, it costs $7.50 to play golf
x < 7.5, Jada cannot play more than 7 rounds of golf over a 3 month period
x < 52.5, Jada cannot spend more than $52.50 per round of golf
x < 52.5, Jada cannot play more than 52 rounds over a 3 month period.
Movie theater tickets cost $14.00 for adults and $8.00 for children. The theater's income from one movie showing on Monday afternoon was $224.00. The equation to represent the income based on the number of adult tickets sold, x, and children tickets sold, y, is 14x + 8y=224, and is graphed below.


Select ALL of the statements that are true.
If no adults attended the movie, 28 children went to the movie.
If 10 adults attended, 5 children were at the movie.
If 25 people were at the movies, 4 were adults and 21 were children.
If 8 adults attended, 20 total tickets were sold.
If no children were at the movie, 16 adults attended.
Standard Pizza company sells slices of pizza, and toppings can be added for an additional cost. The graph below shows the cost of a slice of pizza based on the number of toppings.


Which linear equation represents the cost of a slice of pizza, c, priced on the number of toppings, t ?
c = 3.5t
c = 3 + 0.5t
c = 0.5 + 3t
c = 3 + t
The height measured in inches of candle A can be modeled using the function A(x) = -0.25x + 5 after x hours of being lit. The height of candle B was recorded in the table below:



Which of the following statements are true?
Candle B burns slower than Candle A.
Candle B was taller than Candle A after burning for 6 hours.
Candle A was 9 inches taller than Candle B before either were lit.
Candle B was taller than Candle A before either were lit.
Which of the following residual plots represents a good linear model?
The table below shows the number of hours students studied for a test and the grade each student received on the test.


Using the regression equation, predict the test grade of a student that studied 2.5 hours? Round to the nearest whole number
88
89
91
94
A professor at UNCA collected data on the number of students eating lunch in the cafeteria and the number of days since the school semester started. She calculated the correlation coefficient to be r = -0.87.

Which of the following statements is true?
The variables have a weak, negative correlation. This means that the number of days since the school semester started does not correlate with the number of students eating in the cafeteria.
The variables have a strong, negative correlation. This means that as the number of days since the school semester started increases, the number of students eating in the cafeteria tends to decrease.
The variables have a strong, positive correlation. This means that as the number of days since the school semester started increases, the number of students eating in the cafeteria tends to increase.
The variables have a strong, negative correlation. This means that as the number of days since the school semester started increases, the number of students eating in the cafeteria tends to increase.
The table below shows the U.S. average life expectancy at birth in various decades.

The linear regression equation for this data set is y = 0.208x+ 62.696. What is the residual for 1990?
75.4
75.176
-0.224
0.224