SIMPLIFYING AND EVALUATING EXPRESSIONS WITH INTEGERS WORKSHEET

Simplify the following Positive and Negative Integers

1)  8 - 2 × (-1)^{3   Solution}

2)  15 - 6 × (-3)    Solution

3)  - 2 × (3 - 5)^{2       Solution}

4)  5 - 14 ÷ (-2) + 1      Solution

5)  6 - 7 - (-2)^{2          Solution}

6)   (-2)² - (- 2)^{2        Solution}

7)  -5 - 15 ÷ (-3)       Solution

8)  -12 + 3 × (-2)       Solution

9)  3 × (-2) - (-1) × 5   Solution

10)  (- 2)³ - (-2)^{2      Solution}

11)  15 - (-4)² × (-1)Solution

12)  -16 ÷ (23 - (-9))           Solution

13)  The temperature was -7^oC and it has fallen a further 18^oC. What is the temperature now?

Solution

14) A submarine is 23 m below sea level and dives a further 36 m. How deep is it now?

Solution

15)  A bird flying 9 m above a lake suddenly drops 10.5 m to catch a fish. How far under the surface was the fish? 

Solution

16) You deposit $50 in your savings account. One week later, you withdraw $20. Write each amount as an integer

Solution

17)  You go down 8 floors in an elevator. Your friend goes up 5 floors in an elevator. Write each amount as an integer.

Solution

18) The depths of two scuba divers exploring a living coral reef are shown.

a) Write an integer for the position of each diver relative to sea level.

b) Which integer in part (a) is greater?

c) Which integer in part (a) has the greater absolute value? Compare this absolute value with the depth of that diver

Solution

19)  The summit elevation of a volcano is the elevation of the top of the volcano relative to sea level. The summit elevation of the volcano Kilauea in Hawaii is 1277 meters. The summit elevation of the underwater volcano Loihi in the Pacific Ocean is −969 meters. Which summit is closer to sea level?

Solution

20) Determine whether the statement is true or false. Explain your reasoning.

i) If x < 0, then ∣ x ∣= −x.

ii)  The absolute value of every integer is positive.

Solution

Evaluating the following expressions with positive and negative numbers.

Questions :

1)  8 + - 5    Solution

2)  8 - - 5     Solution

3)  - 8 + - 5    Solution

4)  - 8 - - 5    Solution

5)  4 + - 9    Solution

6)  4 - - 9     Solution

7)  - 4 + - 9    Solution

8)  - 4 - - 9     Solution

9)  3 - - 2 + 4      Solution

10)  13 + - 5 - - 2     Solution

11)  - 6 - - 4 + - 5       Solution

12)  - 6 + - 1 - - 8     Solution

13)  5 - 12 - - 4       Solution

14)  8 - 15 + - 11   Solution

15)  3 - - 1 - - 5        Solution

16)  The list shows four bank account transactions in July. Find the change C in the account balance.

Solution

17)  Tell whether the sum is positive, negative, or zero without adding. Explain your reasoning.

a) −8 + 20

b)  30 + (−30)

c) −10 + (−18)

Solution

18)  Tell whether the statement is true or false. Explain your reasoning.

a) The sum of two negative integers is always negative.

b) An integer and its absolute value are always opposites.

Solution