Mathematics 7- Benchmark2 Practice Review#2

Which number line models the sum of 0.5 + (−2) correctly?

• Number line with arrow from 0.5 to -1.5

• Number line with arrow from 0.5 to -1.5 and back to 0.5

• Number line with arrow from 0.5 to -1.5 and back to 0

• Number line with arrow from 0.5 to -1.5 and back to -2

Answer explanation

The sum 0.5 + (−2) equals −1.5. The correct number line should show an arrow moving from 0.5 directly to −1.5, indicating the result of the addition without returning to any other points.

An architect creates a scale drawing of a rectangular porch. In the scale drawing, the length of the porch is 3 centimeters. The actual length of the porch is 114 feet. Which statement is true?

• The scale drawing represents 38 feet with 1 centimeter.

• The scale drawing represents 1 foot with 38 centimeters.

• The scale drawing represents 1 foot with 1/114 centimeter.

• The scale drawing represents 1/114 foot with 1 centimeter.

Answer explanation

To find the scale, divide the actual length (114 feet) by the drawing length (3 cm). This gives 114/3 = 38 feet per centimeter, confirming that the scale drawing represents 38 feet with 1 centimeter.

What is the decimal equivalent of 2/3?

• 0.66

• 0.6̅

• 2.3

• 2.3̅

Answer explanation

The decimal equivalent of 2/3 is a repeating decimal, which is represented as 0.6̅. This means that the digit 6 repeats indefinitely, making 0.6̅ the correct choice.

A teacher writes the expression 28.2 + 17.5(41.25 ÷ -5) on the board. The table shows how one student simplifies the expression. Which statement is true?

• The student makes a mistake between the Given and Step 1.

• The student makes a mistake between Step 1 and Step 2.

• The student makes a mistake between Step 2 and Step 3.

• The student simplifies the expression correctly.

Answer explanation

The student correctly simplifies the expression up to Step 2. However, in Step 3, they make a mistake in the calculation of 17.5 times the result of 41.25 ÷ -5, leading to the incorrect final answer.

What is the value of 17 - (-21)?

• 357

• 38

• -4

• -357

Answer explanation

To solve 17 - -21, we convert the double negative to addition: 17 + 21 = 38. Thus, the correct answer is 38.

Consider the expression. 12(-72) + 41(-3 - 32). What is the value of the expression?

• -2,299

• -858

• 571

• 2,437

Answer explanation

To evaluate 12(-72) + 41(-3 - 32), first calculate 12 * -72 = -864. Then, simplify -3 - 32 = -35, so 41 * -35 = -1435. Adding these gives -864 + -1435 = -2299. The correct calculation is -2299.

What is the value of 17 x (-21)?

Answer explanation

To find the value of 17 x -21, multiply 17 by -22. Since the given have different sign, the result is -357.

What is the decimal equivalent of -5/9. Round it to the nearest hundredths.

Answer explanation

The decimal equivalent of -5/9 is approximately -0.5555, which rounds to -0.56.

What is the value of 34 + 3.5(-44 ÷ 2)?

Answer explanation

First, calculate -44 ÷ 2 = -22. Then, 3.5 * -22 = -77. Finally, 34 + (-77) = 34 - 77 = -43. The correct answer is -43.

A teenager puts $50 into an investment account in January. If by December the balance in the account increases by 17%, what is the amount of money in the account in December, in dollars and cents?

Answer explanation

To find the December balance, calculate 17% of $50: 0.17 * 50 = $8.50. Add this to the initial amount: 50 + 8.50 = $58.50. The correct answer is $58.50.