7th Grade 1st Semester Exam

What is the length of the bar in the diagram?

• 4 units

• 3.5 units

• 5.5 units

• 6 units

Answer explanation

The diagram shows a bar marked with units. By measuring the length indicated, we find it measures exactly 4 units, confirming that the correct answer is 4 units.

What is the length of the bar in the diagram?

• 6 units

• 7 units

• 5 units

• 8 units

Answer explanation

The diagram shows a bar marked with measurements. By counting the units, we find that the length of the bar is 7 units, making this the correct answer.

Tags

CCSS.7.G.A.1

What is the length of the two combined measurements?

• 9.5 units

• 13.5 units

• 8.5 units

• 8 units

Answer explanation

To find the combined length, add the two measurements. If the measurements are 4 units and 4 units, their sum is 8 units, which matches the correct answer. Therefore, the length of the two combined measurements is 8 units.

Tags

CCSS.7.NS.A.1

The temperature rose 4° each hour for 5 hours. Which equation represents the total change in temperature?

• (+4) x (+5)

• (+4) x (-5)

• (-4) x (+5)

• (-4) x (-5)

Answer explanation

The temperature increases by 4° each hour for 5 hours, so the total change is represented by the equation (+4) x (+5). This indicates a positive change in temperature over a positive duration.

Tags

CCSS.7.EE.B.3

CCSS.7.NS.A.3

CCSS.7.EE.A.1

A glacier melted about 3 m per day for 6 days. Using integers, what is the total change in length of the glacier?

• (-18)

• (+18)

• (-24)

• (+24)

Answer explanation

The glacier melted 3m per day for 6 days, totaling 3m x 6 = 18m. Since the glacier is melting, this change is negative, resulting in a total change of -18m. Thus, the correct answer is (-18).

Tags

CCSS.7.NS.A.1

Find the following product, (+20) x (+13).

• (+33)

• (-33)

• (+260)

• (-260)

Answer explanation

To find the product of (+20) and (+13), multiply the two positive numbers: 20 x 13 = 260. Therefore, the correct answer is (+260).

Tags

CCSS.7.NS.A.2

Solve the following equation: -20 ÷ +5

• (-100)

• (+100)

• (+4)

• (-4)

Answer explanation

To solve -20 ÷ +5, divide -20 by 5. The result is -4, since dividing a negative number by a positive number yields a negative result. Thus, the correct answer is (-4).

Tags

CCSS.7.NS.A.2

Evaluate the following: (-6) + 4(-2)

• (-14)

• (+14)

• (+4)

• (-4)

Answer explanation

To evaluate (-6) + 4(-2), first calculate 4(-2) = -8. Then, add -6 + (-8) = -14. Thus, the correct answer is (-14).

Tags

CCSS.7.EE.B.3

CCSS.7.NS.A.3

Replace [ ] with the correct integer. [ ] ÷ (-7) = (-7)

• (-1)

• (+1)

• (-49)

• (+49)

• (+7)

Answer explanation

To find the missing integer, multiply both sides by -7: [ ] = (-7) * (-7). This gives [ ] = 49. Therefore, the correct integer is +49.

Tags

CCSS.7.NS.A.2

Kyle owed $5 to 3 of his friends. What integer expression represents Kyle’s debt?

• (+5) x (+3) = +15

• (-5) x (-3) = +15

• (-5) x (+3) = -15

• (+5) x (-3) = -15

Answer explanation

Kyle's debt is represented as -5 for each friend. Since he owes 3 friends, the expression (-5) x (+3) = -15 correctly shows his total debt of -15.

Tags

CCSS.7.NS.A.1

CCSS.7.NS.A.3