Midterm Practice Test 1

0 of 16 answered · 45 minute limit

1. Part 1 · Ratios & Proportional Relationships

   1.A coffee shop offers four different bean purchase options shown in the table below: Option A: 3 lbs for $14.25 Option B: 5 lbs for $23.00 Option C: 8 lbs for $37.20 Option D: 12 lbs for $56.40 Which option offers the lowest unit rate per pound?

   A.Option AB.Option BC.Option CD.Option D

2. 2.A laptop originally priced at $800 is on sale for 20% off at a Bay Area electronics store. The sales tax rate in Santa Clara County is 9%. What is the total final cost of the laptop including sales tax?

   A.$640.00B.$697.60C.$712.00D.$728.00

3. 3.A student attempted to solve the following problem: 'In a middle school robotics club, the ratio of 6th graders to 7th graders is 4:5. If there are 36 total students in the club, how many are 6th graders?' Student Step 1: Add the terms: 4 + 5 = 9 total parts. Student Step 2: Divide 36 by 4 = 9 students per part. Student Step 3: Multiply 9 by 4 = 36 6th graders. What was the student's mistake?

   A.In Step 1, the student should have subtracted 4 from 5.B.In Step 2, the total (36) should be divided by the sum of parts (9), not 4.C.In Step 3, the value per part should be multiplied by 5 instead of 4.D.There is no error; the student's solution is completely correct.

4. 4.A double number line model shows the relationship between miles Maya runs and time in minutes: Miles: 0 ... 1.5 ... 3.0 ... 4.5 Minutes: 0 ... 12 ... 24 ... 36 Part A: What is Maya's running speed in miles per hour? Part B: Which statement correctly justifies this calculation?

   A.7.5 mph, because 1.5 miles in 12 minutes corresponds to 7.5 miles in 60 minutes.B.8.0 mph, because 12 divided by 1.5 equals 8.C.6.5 mph, because 24 minutes divided by 3 miles is 8.D.7.2 mph, because 3.0 miles multiplied by 2.4 equals 7.2.

5. Part 2 · The Number System

   5.A rectangular community garden bed has an area of 5/6 square yards. If the length of the garden bed is 1 1/4 yards, what is its width in yards?

   A.2/3 yardB.25/24 yardsC.1 1/2 yardsD.8/15 yard

6. 6.Which expression uses the greatest common factor and the distributive property to correctly rewrite 48 + 72?

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

7. 7.Point A is located at (-4.5, 3.2) and Point B is located at (-4.5, -6.8) on a coordinate plane. What is the distance between Point A and Point B?

   A.3.6 unitsB.10.0 unitsC.9.0 unitsD.11.3 units

8. 8.At a Cupertino farmers' market, organic strawberries cost $3.85 per basket. A customer buys 4 baskets of strawberries and 1 melon for $5.65. If the customer pays with a $50 bill, how much change should they receive?

   A.$28.95B.$21.05C.$30.50D.$25.05

9. Part 3 · Expressions & Equations

   9.Evaluate the expression: 3 × (2⁴ - 6) ÷ 2 + 5².

   A.40B.28C.35D.52

10. 10.Solve the one-variable linear equation for x: 3.5x + 4.2 = 18.2

    A.x = 3.5B.x = 4C.x = 4.5D.x = 6

11. 11.To qualify for a math competition, a student must score at least 85 points on an entrance test, t. Which inequality and number line representation correctly show this requirement?

    A.t > 85; an open circle at 85 with an arrow pointing to the rightB.t ≥ 85; a closed circle at 85 with an arrow pointing to the rightC.t ≤ 85; a closed circle at 85 with an arrow pointing to the leftD.t < 85; an open circle at 85 with an arrow pointing to the left

12. 12.A food truck charges a flat setup fee of $50 plus $12 per meal ordered for a catering event. The total cost C depends on the number of meals m ordered. Which equation correctly represents this situation, and which is the independent variable?

    A.C = 50m + 12, where C is the independent variableB.C = 12m + 50, where m is the independent variableC.m = 12C + 50, where m is the independent variableD.C = 12m + 50, where C is the independent variable

13. Part 4 · Geometry & Statistics

    13.A composite figure is made of a rectangle measuring 10 cm by 6 cm, with a right triangle attached along one of the 6 cm sides. The base of the right triangle extending outward from the rectangle is 4 cm. What is the total area of the composite figure?

    A.72 sq cmB.84 sq cmC.68 sq cmD.60 sq cm

14. 14.A rectangular prism container has dimensions length = 2 1/2 feet, width = 1 1/2 feet, and height = 4 feet. What is the volume of the container in cubic feet?

    A.15 cubic feetB.12 cubic feetC.18.5 cubic feetD.8 cubic feet

15. 15.A student collected quiz scores from five classmates: 70, 75, 80, 85, 90. What is the Mean Absolute Deviation (MAD) of this data set?

    A.6B.0C.80D.10

16. 16.A box plot summarizing summer reading log data shows: Minimum = 2, Q1 (Lower Quartile) = 5, Q2 (Median) = 9, Q3 (Upper Quartile) = 14, Maximum = 20. Which statement is TRUE based on this box plot?

    A.The Interquartile Range (IQR) is 9 books, representing the spread of the middle 50% of data.B.Exactly 50% of students read more than 14 books.C.The mean of the data set must be equal to 9 books.D.The total range of books read is 12 books.