Benchmark 2 REVIEW

Which graphic organizer correctly groups the following numbers? 3.4, -2, 3, -1.2.

• F

• G

• H

• J

Answer explanation

Choice G correctly groups the numbers into positive (3.4, 3) and negative (-2, -1.2) categories, making it the appropriate graphic organizer for these values.

Arrange the numbers in order from least to greatest. Move the correct answer to each box.

• 0.204

• 0.204

• 25/42

• 48/22

• -1 7/10

• 25/42

• -3/8

• -1 7/10

• 48/22

• -3/8

Tags

CCSS.6.NS.C.7A

CCSS.6.NS.C.7B

Which point on the number line has the greatest absolute value?

• F

• G

• H

• I

Answer explanation

The absolute value of a number is its distance from zero on the number line. Point F has the greatest distance from zero compared to points G, H, and I, making it the point with the greatest absolute value.

Tags

CCSS.6.NS.C.7C

Which point on the number line has the greatest absolute value?

• A. J

• B. K

• C. L

• D. M

Answer explanation

The absolute value of a number is its distance from zero on the number line. Point J has the greatest distance from zero compared to points K, L, and M, making it the point with the greatest absolute value.

Tags

CCSS.6.NS.C.7C

Serena bought 5 shirts for $6 each and spent $7 on lunch. She paid for the shirts and lunch using her debit card. The change in the balance of Serena's checking account can be represented by the expression shown.

5(-6)+(-7)

Which integer represents the change in the balance of Serena's checking account from these purchases?

• -37

• 23

• -18

• 4

Answer explanation

To find the change in Serena's balance, calculate 5 shirts at $6 each: 5(-6) = -30. Then add the lunch cost: -30 + (-7) = -37. Thus, the change in her checking account is -37.

Tags

CCSS.7.NS.A.3

What is the value of the expression shown? 4(-2) + (-10) + 3(-8)

• A. -22

• B. -13

• C. 7

• D. -42

Answer explanation

To evaluate 4(-2) + (-10) + 3(-8): First, calculate 4(-2) = -8, then add -10 to get -18, and finally add 3(-8) = -24. So, -18 + (-24) = -42. Thus, the correct answer is D. -42.

Tags

CCSS.7.NS.A.3

The weight of one serving of trail mix is 2.5 ounces. How many servings are there in 22.5 ounces of trail mix?

• 11.5

• 25.0

• 56.25

• 9.0

Answer explanation

To find the number of servings, divide the total weight by the weight of one serving: 22.5 ounces ÷ 2.5 ounces/serving = 9 servings. Therefore, the correct answer is 9.0.

Tags

CCSS.6.NS.B.3

The ratio of the number of boys to the number of girls in a choir is 5:4. There are 60 girls in the choir. How many boys are in the choir?

• 75

• 61

• 48

• 80

Answer explanation

The ratio of boys to girls is 5:4. With 60 girls, we set up the equation 5x/4x = 60. Solving for x gives x = 12. Therefore, the number of boys is 5x = 5*12 = 75.

On a video game shelf, the ratio of racing games to adventure games is 4:3. There are 36 racing games on the shelf. How many adventure games are on the shelf?

• 48

• 35

• 27

• 63

Answer explanation

The ratio of racing to adventure games is 4:3. With 36 racing games, we set up the proportion: 4/3 = 36/x. Cross-multiplying gives 4x = 108, so x = 27. Thus, there are 27 adventure games on the shelf.

An architect builds a scale model of a building, where 1 inch : 3 feet. The length of the actual model is 28 feet. Which proportion could be used to find x, the length of the model in inches?

Answer explanation

The scale ratio is 1 inch to 3 feet. To find the model length in inches (x) for an actual length of 28 feet, set up the proportion \( \frac{x}{28} = \frac{1}{3} \). This shows that for every 3 feet, there is 1 inch.

Tags

CCSS.7.RP.A.2C