Integer and Rational Number Quiz

The temperature was -6 degrees. It rose so that the temperature was 0 degrees. Write the integer that represents the change in temperature.

• 6

• -6

• 0

• -12

Answer explanation

The temperature changed from -6 degrees to 0 degrees. To find the change, subtract the initial temperature from the final temperature: 0 - (-6) = 0 + 6 = 6. Thus, the change in temperature is 6.

Tags

CCSS.7.NS.A.1A

The elevator goes up 7 floors then down 4 floors. What integer represents what floor the elevator ended on?

• 3

• 4

• -3

• 7

Answer explanation

The elevator starts at floor 0. It goes up 7 floors (0 + 7 = 7) and then down 4 floors (7 - 4 = 3). Therefore, the elevator ends on floor 3.

Tags

CCSS.6.NS.C.5

What must be true about 2 nonzero integers that combine to equal 0?

• The two integers are the same

• The two integers are to the right of the zero on a number line

• The two integers are opposites

• The two integers are to the left of the zero on a number line

Answer explanation

For two nonzero integers to combine to equal 0, they must be opposites. This means one integer is the negative of the other, ensuring their sum is zero.

Tags

CCSS.7.NS.A.1B

Write the decimal for 11/27.

• 0.407

• 0.5

• 0.333

• 0.25

Answer explanation

To convert 11/27 to decimal, divide 11 by 27, which equals approximately 0.407. This matches the correct answer choice, confirming that 0.407 is the decimal representation of 11/27.

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

Mark the rational numbers.

• 14.17171717.....

• 56

• 123.47826739........

• 3.14159

Answer explanation

Rational numbers can be expressed as fractions. 14.17171717... is a repeating decimal, which can be written as a fraction. The other options are either non-repeating decimals or irrational numbers, making 14.17171717... the only rational choice.

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

4 + (-7) is __________ units from 4 in the positive or negative position?

• 3, negative

• 3, positive

• 7, negative

• 7, positive

Answer explanation

4 + (-7) equals -3. The distance from 4 to -3 is 3 units, and since -3 is less than 4, it is in the negative position. Thus, the answer is 3, negative.

Tags

CCSS.7.NS.A.1B

Felix spends $150 each month for his gym membership plus $30 each week for a personal trainer. A new gym charges $255 a month, which includes a weekly session with a personal trainer. Would Felix save money by switching to the new gym? Assume there are 4 weeks in a month.

• Yes, Felix would save money.

• No, Felix would not save money.

• Felix would spend the same amount.

• Felix would save $50.

Answer explanation

Felix spends $150 on gym membership and $120 on a personal trainer monthly (4 weeks x $30). Total: $270. The new gym costs $255, saving him $15. Thus, yes, Felix would save money by switching.

Solve 7 - (-4).

• 3

• 11

• -11

• -3

Answer explanation

To solve 7 - (-4), we rewrite it as 7 + 4, since subtracting a negative is the same as adding. Thus, 7 + 4 = 11. The correct answer is 11.

Tags

CCSS.7.NS.A.1C

Hank is working in a silver mine 10 feet below the surface. He descends until he reaches a point 57 feet below the surface. How many feet does Hank descend?

• 47 feet

• 67 feet

• 57 feet

• 37 feet

Answer explanation

Hank starts at 10 feet below the surface and descends to 57 feet below. The total descent is 57 - (-10) = 57 + 10 = 67 feet. However, he only descends from 10 feet to 57 feet, which is 57 - 10 = 47 feet.

Tags

CCSS.7.NS.A.1C

• Positive

• Negative

• Zero

• Undefined

Answer explanation

To evaluate -\frac{1}{3} - \frac{4}{5}, convert to a common denominator (15): -5/15 - 12/15 = -17/15. Since -17/15 is negative, the answer is negative.

Tags

CCSS.7.NS.A.1C