# EVALUATING EXPRESSIONS WITH EXPONENTS WORKSHEET

Evaluate the following :

Problem 1 :

a + b2(b-a) if a = 5 and b = -3

Solution

Problem 2 :

(x4-3wy) / (y3+2w), if w= 4, x = -3 and y = -5.

Solution

Problem 3 :

h2k + h(h - k), if h = 4, k = 1/2

Solution

Problem 4 :

A player's attack percentage A is calculated using the formula

A = (k - e)/t

where k represents the number of kills, e represents the number of heart attack errors including blocks, and t represents the total attacks attempted. Find the attack percentage when k = 22, e = 11and t = 35.

Solution

Problem 5 :

Evaluate

5(d+a)/2ab2

when a = -4, b = 1/2, and d = 1/5

Solution

Problem 6 :

The formula for the volume V of a cone with radius r and height

h = 1/3 πr2h

Write the expressions for the volume of the cone given below.

Solution

Problem 7 :

The average price for a movie ticket can be represented by

P = y2/400 + 7y/100 + 2.96

where y is the number of years since 1980.

(a) Find the average price of a ticket in 1990.

Solution

## Answer Key

1)  -67

2)  -316/117

3)  22

4)  0.314%.

5)  95/8

6)  V = 6x2π

7)  P = 2132.51

Evaluate the following numerical expression.

Problem 1 :

6 x 8 - 18 ÷ (2 + 4)

Solution

Problem 2 :

10÷5+20÷(4+1)

Solution

Problem 3 :

5 + (2x10-5) - 6

Solution

Problem 4 :

18 - (15÷3+4) + 1

Solution

Problem 5 :

(2x3-4) + (33÷11+5)

Solution

Problem 6 :

(18÷3+3) ÷ (4x4-7)

Solution

Problem 7 :

(50÷5+6) - (8x2-4)

Solution

Problem 8 :

(10x3-20) + 3(9÷3+2)

Solution

Problem 9 :

(7-3x2) ÷ (8÷4-1)

Solution

Problem 10 :

(5+3)x2+10 ÷ (8-3)

Solution

1)  45

2)  6

3)  14

4)  10

5)  10

6)  1

7)  4

8)  25

9)   1

10)  18

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