Midterm Practice Test 2

0 of 16 answered · 45 minute limit

1. Part 1 · Ratios & Proportional Relationships

   1.The table below shows the pricing for two brands of organic granola sold at a Palo Alto grocery store: Brand A: 12 oz for $7.80 Brand B: 15 oz for $10.20 Which brand is cheaper per ounce, and by how much?

   A.Brand A is cheaper by $0.03 per ounce.B.Brand B is cheaper by $0.03 per ounce.C.Brand A is cheaper by $0.30 per ounce.D.Brand B is cheaper by $2.40 per ounce.

2. 2.A electronics store in Cupertino advertises a laptop for $450. During a weekend sale, the store offers a 20% discount on the laptop. If an 8% sales tax is then applied to the discounted price, what is the final cost of the laptop?

   A.$388.80B.$396.00C.$360.00D.$414.00

3. 3.Maya attempts to calculate 35% of 240 mentally using the following steps: Step 1: 10% of 240 = 24 Step 2: 30% of 240 = 24 * 3 = 72 Step 3: 5% of 240 = 24 / 5 = 4.8 Step 4: 35% of 240 = 72 + 4.8 = 76.8 In which step did Maya make her first mistake?

   A.Step 1B.Step 2C.Step 3D.Step 4

4. 4.Part A: A smoothie recipe calls for 3 cups of berries for every 2 cups of yogurt. How many cups of yogurt are needed if 7.5 cups of berries are used? Part B: Which proportion and reasoning justifies your answer for Part A?

   A.5 cups; justified by 3/2 = 7.5/y, which yields 3y = 15 and y = 5.B.5 cups; justified by 3/2 = y/7.5, which yields 2y = 22.5 and y = 11.25.C.4.5 cups; justified by subtracting 3 from 7.5 to get 4.5.D.5.5 cups; justified by adding 3.5 to both quantities in the ratio.

5. Part 2 · The Number System

   5.A ribbon that is 7/8 yard long is cut into equal pieces that are each 3/16 yard long. How many full pieces can be cut, and what fraction of a yard of ribbon remains?

   A.4 full pieces with 1/8 yard remainingB.4 full pieces with 1/16 yard remainingC.3 full pieces with 5/16 yard remainingD.4 full pieces with no ribbon remaining

6. 6.In a chemistry experiment, a liquid solution initially weighed 14.35 grams. After 3 identical drops of a chemical were added, the total mass became 15.115 grams. What was the mass of each drop in grams?

   A.0.255 gramsB.0.765 gramsC.0.225 gramsD.0.382 grams

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

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

8. 8.Point P is located at (-4.5, 3.2) on a coordinate grid. Point Q is the reflection of Point P across the y-axis. Which statement regarding Point Q and its distance from Point P is true?

   A.Point Q is at (4.5, 3.2), and the distance between P and Q is 9 units.B.Point Q is at (-4.5, -3.2), and the distance between P and Q is 6.4 units.C.Point Q is at (4.5, -3.2), and the distance between P and Q is 9 units.D.Point Q is at (4.5, 3.2), and the distance between P and Q is 4.5 units.

9. Part 3 · Expressions & Equations

   9.What is the value of the numerical expression: 4^3 - 2 * (3^2 + 5) / 7 ?

   A.60B.56C.62D.36

10. 10.An engineer needs to save at least $120 to register for a robotics competition. She has already saved $45 and earns $12.50 per hour tutoring. Which inequality models the minimum number of hours, h, she must tutor to have enough money?

    A.12.50h + 45 >= 120, where h >= 6B.12.50h + 45 <= 120, where h <= 6C.45h + 12.50 >= 120, where h >= 2.4D.12.50h - 45 >= 120, where h >= 13.2

11. 11.The table shows the amount of water, W (in gallons), pumped into a tank over time, t (in minutes): t (minutes): 2 | 4 | 6 | 8 W (gallons): 25 | 50 | 75 | 100 Which statement correctly identifies the independent variable and the algebraic equation for this relationship?

    A.Independent variable is t; Equation is W = 12.5tB.Independent variable is W; Equation is t = 12.5WC.Independent variable is t; Equation is W = t + 23D.Independent variable is W; Equation is W = 25t

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

    A.3(2x + 4) - 2x and 4x + 12B.4(x + 3) + x and 4x + 12C.2(3x + 6) - x and 6x + 12D.5(x + 2) - 3 and 5x + 7

13. Part 4 · Geometry & Statistics

    13.A field is shaped like a trapezoid with parallel bases of 12 meters and 18 meters, and a height of 8 meters. A right-triangular garden corner with a base of 6 meters and height of 8 meters is removed from the field. What is the remaining area of the field?

    A.96 square metersB.120 square metersC.72 square metersD.144 square meters

14. 14.A rectangular storage container has dimensions 2 cm by 1 1/3 cm by 2 2/3 cm. How many small unit cubes with edge lengths of 1/3 cm are needed to completely fill the container without any gaps?

    A.192 cubesB.64 cubesC.96 cubesD.216 cubes

15. 15.The summary statistics for a dataset of test scores displayed on a box plot are as follows: Minimum: 12, First Quartile (Q1): 18, Median: 24, Third Quartile (Q3): 30, Maximum: 38. What is the Interquartile Range (IQR) of this data set, and what percentage of the data lies between 18 and 30?

    A.IQR = 12; exactly 50% of the data lies between 18 and 30.B.IQR = 26; exactly 50% of the data lies between 18 and 30.C.IQR = 12; exactly 75% of the data lies between 18 and 30.D.IQR = 6; exactly 25% of the data lies between 18 and 30.

16. 16.A student records the quiz scores of 5 classmates: 10, 12, 14, 16, 18. The mean score is 14. What is the Mean Absolute Deviation (MAD) of these scores, and what does it represent?

    A.MAD = 2.4; on average, the scores deviate from the mean of 14 by 2.4 points.B.MAD = 12; the sum of all absolute distances from the mean is 12.C.MAD = 2.0; the scores are spaced out by an average interval of 2 points.D.MAD = 3.0; the middle spread of scores varies by 3 points.