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Math 1 Grade 8 Midterm Exam

Last updated almost 2 years ago
20 questions
Questions 1 - 8 are calculator inactive. Questions 9-40 are calculator active
Calculator Inactive Section
1

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

1

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?

1
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 ________
Other Answer Choices:
150
30
1

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

1

Which graph has a shaded region that represents the solution to the system of inequalities?
4x-6y \leq 24
y < 6-3x

1

Which of the following is the inequality for the graph shown below:

Calculator Active Section
1

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.

1

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?

1

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.

1

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?

1

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?

1

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?

1

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.

1

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.

1

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 ?

1

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?

1

Which of the following residual plots represents a good linear model?

1

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

1

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?

1

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?