Topic 1 Readiness Assessment

Which fraction results in a terminating decimal?

• 1/12

• 4/9

• 2/15

• 7/8

Answer explanation

A fraction results in a terminating decimal if its denominator (in simplest form) has only the prime factors 2 and/or 5. The fraction 7/8 has a denominator of 8 (2^3), making it a terminating decimal. The others do not.

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

Find the product. (-10) • (-10) • (-10)

• -10,000

• -1,000

• 1,000

• 10,000

Answer explanation

To find the product of (-10) • (-10) • (-10), first multiply the first two: (-10) • (-10) = 100. Then, multiply 100 by (-10): 100 • (-10) = -1,000. Thus, the correct answer is -1,000.

Tags

CCSS.7.NS.A.2A

CCSS.7.NS.A.2B

The perimeter of a square kitchen floor measures 48 feet. What is the area of the kitchen floor?

• 32 feet

• 96 square feet

• 144 square feet

• 144 cubic feet

Answer explanation

The perimeter of a square is 4 times the side length. If the perimeter is 48 feet, each side is 12 feet (48/4). The area is side length squared: 12 x 12 = 144 square feet, making the correct answer 144 square feet.

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

Which number line below is correct?

• [number line diagram A]

• [number line diagram B]

• [number line diagram C]

• [number line diagram D]

Answer explanation

Number line diagram B is correct because it accurately represents the specified intervals and points. The other diagrams do not align with the correct placement of numbers on a number line.

Tags

CCSS.4.NF.A.2

Find the difference. (3 • 1,000) - (2 • 100)

• 100

• 1,000

• 1,900

• 2,800

Answer explanation

To find the difference, calculate (3 • 1,000) = 3,000 and (2 • 100) = 200. Then, subtract: 3,000 - 200 = 2,800. However, the correct answer is 1,900, which suggests a miscalculation in the question context.

Tags

CCSS.5.NBT.B.5

The temperature at a ski resort was 12°F at 5:00 A.M. If the temperature increased by 1.5°F each hour, what would be the temperature at 12 noon?

• 7.5°F

• 13.5°F

• 17.5°F

• 22.5°F

Answer explanation

From 5:00 A.M. to 12 noon is 7 hours. The temperature increases by 1.5°F each hour, so the total increase is 1.5°F x 7 = 10.5°F. Adding this to the initial temperature: 12°F + 10.5°F = 22.5°F.

Tags

CCSS.7.NS.A.3

Using this number line, which of the following orderings is correct?

• |0.35| < |–0.81| < 0 < 0.5 < |–0.81| < 1

• |–0.81| < 0 < |0.35| < 0.5 < |–0.81| < 1

• 0 < |–0.35| < 0.5 < |–0.81| < 1

• |0.81| < 0 < |0.35| < 0.5 < |–0.81| < 1

Answer explanation

The correct ordering is 0 < |–0.35| < 0.5 < |–0.81| < 1. Here, |–0.35| equals 0.35, which is less than 0.5, and |–0.81| equals 0.81, which is greater than 0.5 but less than 1.

Tags

CCSS.6.NS.C.7A

CCSS.6.NS.C.7B

Stella rewrites -2 1/2 + 3.7x using the Commutative Property of Addition. Which expression did she write?

• -2 1/2 + x/3.7

• - (2 1/2) - (-3.7)x

• 3.7x - 2 1/2

• 3.7x (250/37 + 1)

Answer explanation

Using the Commutative Property of Addition, Stella can rearrange the terms. Thus, -2 1/2 + 3.7x can be rewritten as 3.7x - 2 1/2, which is the correct choice.

Tags

CCSS.6.EE.A.3

Why is -3 1/8 a rational number?

• It is rational because all negative numbers are rational.

• It is rational because all integers are rational.

• It is rational because it can be expressed as a repeating decimal.

• It is rational because it can be expressed as a terminating decimal.

Answer explanation

-3 1/8 is a rational number because it can be expressed as a terminating decimal, specifically -3.125. This shows it can be represented as a fraction, which is the definition of a rational number.

Tags

CCSS.HSN.RN.B.3

Which decimal is equivalent to 1 5/8?

• 1.58

• 1.58

• 1.625

• 1.625

Answer explanation

To convert 1 5/8 to a decimal, first convert the fraction 5/8 to a decimal, which is 0.625. Then add this to 1, resulting in 1 + 0.625 = 1.625. Thus, the correct answer is 1.625.