Midterm Practice Test 3

0 of 16 answered · 45 minute limit

1. Part 1 · Ratios & Proportional Relationships

   1.Four different brands of organic almond milk are sold at a local market with the following pricing structure: Brand A: $12.60 for 6 oz Brand B: $15.20 for 8 oz Brand C: $18.00 for 10 oz Brand D: $21.00 for 12 oz Which brand offers the lowest unit price per ounce?

   A.Brand AB.Brand BC.Brand CD.Brand D

2. 2.Elena tried to calculate the total price of a $45 jacket including an 8% sales tax. Her work is shown below: Step 1: 8% = 0.8 Step 2: $45 * 0.8 = $36 Step 3: Total = $45 + $36 = $81 What error did Elena make in her calculation?

   A.She should have subtracted $36 from $45 instead of adding.B.She incorrectly converted 8% to 0.8 instead of 0.08.C.She should have multiplied $45 by 1.8 to find the tax.D.Her addition in Step 3 was computed incorrectly.

3. 3.In a Palo Alto middle school robotics club, the ratio of 6th graders to 7th graders is 4:5. If there are 36 total students in these two grades combined, how many 7th graders are in the club?

   A.16B.20C.25D.28

4. 4.Part A: A electric vehicle travels 180 miles on a charge of 6 kilowatt-hours (kWh). At this constant rate, how far can it travel on 14 kWh? Part B: Which mathematical reasoning best justifies your answer to Part A?

   A.Multiply 180 by 14 because 14 kWh is greater than 6 kWh, giving 2,520 miles.B.Find the unit rate of 30 miles per kWh (180 ÷ 6) and multiply by 14 to get 420 miles.C.Add 180 and 14, then multiply by 6 to get 1,164 miles.D.Divide 180 by 14 and multiply by 6 to get 77.1 miles.

5. Part 2 · The Number System

   5.A baker has 4 1/2 cups of flour. If each batch of artisan bread requires 3/4 cup of flour, how many full batches of bread can the baker make?

   A.3 batchesB.4 batchesC.6 batchesD.8 batches

6. 6.Point A is located at (-3.5, 4.2) on the coordinate plane. Point A is reflected across the y-axis to form Point B, and then Point B is reflected across the x-axis to form Point C. What are the coordinates of Point C?

   A.(-3.5, -4.2)B.(3.5, 4.2)C.(3.5, -4.2)D.(-4.2, 3.5)

7. 7.Which expression correctly uses the distributive property and the Greatest Common Factor (GCF) to rewrite the sum 48 + 72?

   A.12(4 + 6)B.24(2 + 3)C.8(6 + 9)D.6(8 + 12)

8. 8.Four mountain locations recorded overnight low temperatures: Location P: -12°C Location Q: -4°C Location R: 3°C Location S: -8°C Which statement correctly compares the distance from zero (absolute value) of these temperatures?

   A.Location Q is colder than Location S because |-4| > |-8|.B.Location P had the temperature furthest from 0°C because |-12| > |-8| > |-4| > |3|.C.Location R has the greatest distance from zero because 3 is a positive number.D.Location S is closer to zero than Location Q because -8 < -4.

9. Part 3 · Expressions & Equations

   9.Evaluate the following numerical expression using the correct order of operations: 4^3 - 2 * (5 + 3^2) ÷ 7

   A.52B.60C.62D.252

10. 10.A public library charges a flat overdue account processing fee of $5 plus $1.50 per day for each day a book is late. Let 'd' represent the number of late days and 'C' represent the total cost in dollars. Which equation represents this relationship, and which variable is independent?

    A.C = 5d + 1.50; C is the independent variable.B.C = 1.50d + 5; d is the independent variable.C.d = 1.50C + 5; C is the independent variable.D.C = 1.50d + 5; C is the independent variable.

11. 11.Marcus needs at least $85 to purchase a graphing calculator. He has already saved $29 and plans to earn the remaining money by mowing lawns for $14 per lawn. Which inequality represents the minimum number of lawns, x, Marcus must mow?

    A.14x + 29 <= 85, so x <= 4B.14x + 29 >= 85, so x >= 4C.29x + 14 >= 85, so x >= 2D.14x - 29 >= 85, so x >= 8

12. 12.Which pair of algebraic expressions is equivalent for all real values of x?

    A.3(2x + 4) and 6x + 4B.4(3x - 2) + 5x and 17x - 8C.2(4x + 5) - 3x and 5x + 5D.5(x + 2) + 2x and 7x + 2

13. Part 4 · Geometry & Statistics

    13.A rectangular prism storage container is packed completely full with small identical cubes, each having an edge length of 1/3 foot. The container fits 12 cubes along its length, 6 cubes along its width, and 9 cubes along its height. What is the total volume of the storage container?

    A.24 cubic feetB.72 cubic feetC.216 cubic feetD.648 cubic feet

14. 14.A polygon plotted on a coordinate grid has vertices at (1, 2), (1, 8), (7, 8), and (10, 2). What is the area of this trapezoidal polygon in square units?

    A.36 square unitsB.45 square unitsC.54 square unitsD.90 square units

15. 15.The test scores of 9 students in an advanced math class are listed below in ascending order: 72, 78, 80, 85, 88, 90, 92, 95, 100 Which option correctly states the Median and Interquartile Range (IQR) of this data set?

    A.Median = 88, IQR = 14.5B.Median = 88, IQR = 28C.Median = 85, IQR = 15D.Median = 90, IQR = 14.5

16. 16.A teacher calculates the mean score on a 5-question math challenge to be 80 points. The scores of the five participating students are 70, 75, 80, 85, and 90. What is the Mean Absolute Deviation (MAD) of these scores?

    A.0B.6C.8D.10