8th Grade 1st Semester Exam 24-25

What is the length of the bar in the diagram?

• 2.5 units

• 7.5 units

• 7 units

• 6 units

Answer explanation

The diagram indicates that the bar measures 2.5 units. This is confirmed by the scale provided, which shows that the length corresponds to the correct answer choice of 2.5 units.

Tags

CCSS.2.MD.A.3

What is the length of the bar in the diagram?

• 6.5 units

• 6 units

• 5.5 units

• 5 units

Answer explanation

The length of the bar is measured directly in the diagram, which shows it as 5.5 units. This is the only option that matches the measurement indicated, confirming it as the correct answer.

Tags

CCSS.8.G.B.7

What is the length of both bars added together?

• 9 units

• 8 units

• 8.5 units

• 13 units

Answer explanation

The total length of both bars is calculated by adding their individual lengths. If one bar is 4 units and the other is 4 units, their sum is 8 units, making '8 units' the correct answer.

Tags

CCSS.2.MD.A.3

Which of the following is a rational number? Check all that apply.

• 2/5

• π

• -21

• 17.58

• √16

Answer explanation

Rational numbers can be expressed as a fraction of two integers. 2/5, -21, 17.58 (which is 1758/100), and √16 (which equals 4) are all rational. π is irrational as it cannot be expressed as a fraction.

Tags

CCSS.8.NS.A.1

Determine whether each fraction is a terminating or repeating decimal. Select all repeating decimals.

• 17/8

• 34/16

• 6/7

• 2/13

• 5/24

Answer explanation

A fraction is a terminating decimal if its denominator (in simplest form) has only the prime factors 2 and/or 5. 17/8 is terminating. 6/7, 2/13, and 5/24 have other prime factors, making them repeating decimals.

Tags

CCSS.8.NS.A.1

A rational number consists of decimals that either repeat or _________.

• A. terminate

• B. continue

• C. fluctuate

• D. disappear

Answer explanation

A rational number can be expressed as a fraction, leading to decimals that either repeat or terminate. Therefore, the correct choice is A. terminate, as it describes decimals that come to an end.

Tags

CCSS.8.NS.A.1

Which fractions are equivalent to 1.27? Check all that apply.

• 28/19

• 12/5

• 60/27

• 14/11

• 9/7

Answer explanation

To find fractions equivalent to 1.27, convert it to a fraction: 1.27 = 127/100. The fraction 9/7 simplifies to approximately 1.2857, which is close to 1.27. Other options do not equal 1.27 when simplified.

Look at each square root. Is it a rational or irrational number? Check ALL that are irrational.

• √48

• √12

• √36

Answer explanation

√48 and √12 are irrational because they cannot be simplified to a fraction. √36 is rational since it equals 6, a whole number. Thus, the irrational numbers are √48 and √12.

Tags

CCSS.8.EE.A.2

CCSS.8.NS.A.1

Is the statement "√65 is between 6 and 7" true or false?

• True

• False

Answer explanation

To determine if √65 is between 6 and 7, we can square both numbers: 6² = 36 and 7² = 49. Since 65 is greater than 49, √65 is not between 6 and 7. Therefore, the statement is false.

Tags

CCSS.8.NS.A.2

Is the statement "√105 is between 10 and 11" true or false?

• True

• False

Answer explanation

To determine if √105 is between 10 and 11, we calculate 10² = 100 and 11² = 121. Since 100 < 105 < 121, it follows that √105 is indeed between 10 and 11. Therefore, the statement is true.

Tags

CCSS.8.NS.A.2