EVALUATE FOR THE GIVEN VALUE OF THE VARIABLE WORKSHEET

Evaluate the following expressions when

x = 8, y = 9 and z = 10

Problem 1 :

2∛-x - √y

Solution

Problem 2 :

z² + (xy/y) - 5

Solution

Problem 3 :

-5|x - z| + 1/2 z

Solution

Problem 4 :

What is -4 - 2x + 7 when x = -5?

a. -7          b. 1         c. 13          d. 21

Solution

Problem 5 :

What is 4∛a - c√b + 6 when a = 27, b = 64 and c = -2?

a. 2            b. 22            c. 26           d. 34

Solution

Problem 6 :

What is

|-5x + 6y| + √z / 5^x - 22

when x = 2, y = -13 and z = 81

Solution

Problem 7 :

A playground is in shape of a square. The area of the square PQRS is 256 m² with each side (x + 2)m. One day Suraj along with his two friends Ajay and Aman went to play there with bicycle. Someone stole Suraj bicycle but Ajay and Aman helped him by contributing ₹ (4a + 60) and ₹ (6a + 10) respectively, to buy a new bicycle. The cost of bicycle was ₹ 4200.

On basis of this information given in passage answer following questions.

(a) Find the value of x

b) What is the value of a?

(c) What was the amount given by Ajay and Aman to Suraj?

(d) What is the perimeter of the playground?

Solution

Problem 8 :

An online photo printing service charges $0.15 per photo and $2.99 for the shopping. The total cost c for printing and shipping any number of pictures p can be represented by the function c = 0.15p + 2.99

Part A :

a) What input values for p make sense in this situation ?

a) rational number    b) whole number

c) decimal       d) irrational number

Part B :

Complete the function table for c = 0.15p + 2.99

Solution

Evaluate the algebraic expression for the given values.

1)  7x + 8 when x = 2            Solution

2)  5x − 4 when x = 6              Solution

3)  x² when x = 12      Solution

4)  4^x when x = 2          Solution

5)  x² + 3x - 7 when x = 4            Solution

6)  (x - y)² when x = 10 and y = 7           Solution

7)  a² + b² when a = 3 and b = 8          Solution

8)  r² - s² when r = 12 and s = 5      Solution

9)  2L + 2W when L = 15 and W = 12      Solution

10)  2x + 4y - 5 when x = 7 and y = 8      Solution

Problem 11 :

It takes approximately 770 peanuts to product one jar of peanut butter. The total number of peanuts n is represented by the function n = 770 p, where p is the number of jars of peanut butter purchased. 

a) Determine the appropriate input values.

b) Complete the function table.

 Solution

Problem 12 :

A taxi charges $2.50 plus 0.75 per mile. The function y = 0.75 x + 2.50 represents the total cost y, of the taxi ride for any number of miles. If Adriana rode 10 miles in the taxi and Alonso rode 15 miles, how much more did Alonso spend on his taxi ride ?

 Solution

Problem 13 :

An elephant weighs 200 pounds at birth and gains approximately 2 pounds per day. The function w = 2d + 200 represents the weight w of an elephant on a given day d during his first year. How much more does an elephant weigh on Day 60 than it does on Day 5 ?

 Solution

Problem 14 :

A public swimming pool holds 250,000 gallons of water and is being drained at the rate of 200 gallons per minute. The function g = -200 m + 250000 represents how many gallons remain in the pool g, after any number of minutes m, how much more water after 5 minutes than 20 minutes ?

 Solution