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REMEMBERING, UNDERSTANDING, AND APPLYING INTEGERS

Total questions: 50

Worksheet time: 25mins

Name
Class
Date
1.

What is the absolute value of -12?

a)

-12

b)

12

c)

0

d)

-1

2.

Which of the following is a negative integer?

a)

0

b)

-7

c)

3

d)

10

3.

What is 5 + (-5)?

a)

1

b)

-5

c)

0

d)

10

4.

What is the result of (-3) × 0?

a)

-3

b)

3

c)

0

d)

-1

5.

Which symbol represents subtraction of integers?

a)

×

b)

÷

c)

d)

+

6.

Which statement best describes subtraction of integers?

a)

Always makes a number larger

b)

Is the same as adding the opposite

c)

Is performed before multiplication

d)

Always results in a positive number

7.

Which shows the correct interpretation of -8 + 3?

a)

Move 3 units left from -8

b)

Move 3 units right from -8

c)

Move 8 units right from 3

d)

Move 8 units left from 3

8.

What does -4 – (–10) mean?

a)

Subtract 10

b)

Add -10

c)

Subtract -10 (add 10)

d)

Multiply by -10

9.

Which correctly explains why –5 × –5 = 25?

a)

A. A positive × a negative is positive

b)

B. Two negative numbers multiply to a positive

c)

C. Two negatives always add

d)

D. A negative squared is negative

10.

Which expression represents “8 less than -2”?

a)

-2 – 8

b)

8 – (–2)

c)

-2 + 8

d)

-8 – 2

11.

Solve: -13 + 20

a)

-7

b)

7

c)

33

12.

Solve the equation: x - 4 = -10

a)

-6

b)

-14

c)

6

d)

14

13.

A submarine is at -40 meters. It rises 15 meters. What is its new position?

a)

-55 m

b)

-25 m

c)

25 m

d)

55 m

14.

The temperature changes from -3°C to -12°C. What is the change?

a)

15°C

b)

-15°C

c)

9°C

d)

-9°C

15.

What is 56 ÷ (-7)?

a)

-8

b)

8

c)

-49

d)

49

16.

What is the product of -3, 2, -4?

a)

-24

b)

24

c)

-6

d)

6

17.

A debt of ₱125 increases by another ₱45. What is the total debt?

a)

₱170

b)

₱-80

c)

₱80

18.

Evaluate: 5 - 2 × 6

a)

-7

b)

7

c)

-12

d)

12

19.

Which expression has the same value as -20 + 8?

a)

8 - 20

b)

-8 + 20

c)

-(20 + 8)

d)

20 - 8

20.

Which expression represents the opposite of the difference of 9 and -3?

a)

-(9 + 3)

b)

-(9 - (-3))

c)

-(9 - 3)

d)

9 - (-3)

21.

Which situation BEST represents the expression -18 ÷ 3?

a)

Losing 18 stickers shared among 3 friends

b)

Gaining 3 stickers from 18 friends

c)

18 oranges equally shared

d)

Multiplying 18 by -3

22.

Compare the expressions: I. -5 + 9 II. 9 - 5

a)

I > II

b)

I < II

c)

I = II

23.

Which number sentence shows that the sum of a positive and negative integer may be negative?

a)

3 + 5 = 8

b)

7 + (−2) = 5

c)

5 + (−10) = −5

d)

−3 + (−4) = −7

24.

Which shows correct grouping using the associative property?

a)

(2 + -3) + -5 = (2 + -5) + -3

b)

2 + (-3 + -5) = (-3) + (2 + -5)

c)

(-2 + 3) + 5 = -2 + (3 × 5)

d)

(-2 + 3) + 5 = (-2 - 3) + 5

25.

Which statement is TRUE about the expression −9 × 4?

a)

The product is positive because signs differ.

b)

The product is negative because signs differ.

c)

The product is positive because both are negative.

d)

The product is zero because one factor is even.

26.

Which of the following shows the LARGEST value?

a)

-12

b)

-4

c)

-9

d)

-6

27.

Which solution is correct for 20 − (−15)?

a)

5

b)

-5

c)

35

d)

-35

28.

Which number sentence would correctly represent this situation: "A climber descends 30 meters, then climbs 12 meters"?

a)

−30 − 12

b)

30 − 12

c)

−30 + 12

d)

12 − 30

29.

Choose the equation that matches the statement: "The result of subtracting a number from -8 is -2."

a)

−8 + x = −2

b)

−8 − x = −2

c)

x − 8 = −2

d)

−2 − x = −8

30.

Which problem can be solved using the expression −4 × (−6)?

a)

A debt of 4 pesos increasing 6 times

b)

A loss of 4 points repeated 6 times

c)

A gain of 4 points repeated 6 times

d)

A penalty removed repeatedly 6 times

31.

–7 + 7 = 0.

a)

True

b)

False

32.

The opposite of a negative integer is positive.

a)

True

b)

False

33.

The product of two negative integers is negative.

a)

True

b)

False

34.

–6 – 3 = –9.

a)

True

b)

False

35.

Adding a negative number always results in a smaller number.

a)

True

b)

False

36.

The absolute value of a number is always positive.

a)

True

b)

False

37.

4 ÷ (–2) = –2.

a)

True

b)

False

38.

8. (–10) + 2 = 12.

a)

True

b)

False

39.

A temperature drop from 5°C to -3°C is a change of -8°C.

a)

True

b)

False

40.

If a diver moves from -12 m to -5 m, he is moving upward.

a)

True

b)

False

41.

11. –15 + 20 = –35.

a)

True

b)

False

42.

A loss of P8 represented as +8 is correct.

a)

True

b)

False

43.

–32 ÷ 4 = –8.

a)

True

b)

False

44.

The sum of -10 and -2 is -12.

a)

True

b)

False

45.

The expression –3 + (–3) and –6 have the same value.

a)

True

b)

False

46.

9 – (–12) and 12 – 9 are equivalent expressions.

a)

True

b)

False

47.

Between -2 and -9, -9 is greater.

a)

True

b)

False

48.

(–4)(–2)(–1) is negative.

a)

True

b)

False

49.

The situation “A hiker loses 10 meters then gains 4 meters” can be written as –10 + 4.

a)

True

b)

False

50.

“A debt removed 5 times” can be represented by –5 × (–1).

a)

True

b)

False