# Literal calculation: answer key to 5th grade math exercises in PDF.

The answer key to the 5th grade math exercises on literal calculation. Simplify and reduce literal expressions using simple distributivity.

Exercise 1:

Exercise 2:

Let be the expression .

Calculate the value of E for :

a) ;

b) ;

c) .

Exercise 3:

A = 13xz=

B= 4×5 = 20

C= (4- )x3=

D= 4xaxb=

E = axb+7x +5=

F=5x( +3)=

G= x(y+2)=

Exercise 4:

First way:

Second way:

Exercise 5:

a)

=

=

=

=

b)

=

=

=

Exercise 6:

Calculate the following expression for :

Exercise 7:

Exercise 8:

1. Express the length of the rectangle in terms of .

2. Express the perimeter of the rectangle in terms of .

3. Calculate the perimeter when:

Exercise 9:

a) Write the price of a CD as a function of x.

x+2

b) Write the prices of a book as a function of x.

x+4

c) Paul buys 4 CDs, write the amount of his purchases as a function of x.

4(x+2)=4x+8

d) Louise buys 2 comic books and 2 books, write the amount of her purchases as a function of x.

2x+2(x+4)=2x+2x+8=4x+8

e) Show that Paul and Louise spent the same amount.

They have the same expense which corresponds to 4x+8 .

Exercise 10:

Exercise 11:

A USB stick costs x euros and a book costs 5 € more.
1. What is the price of 3 books ?

2. What is the price of 2 USB keys and 4 books?

Exercise 12:

Exercise 13:

The left length is b+2b+b=4b .

The bottom length is a+a+a=3a .

The length of the staircase is a+b+a+2b+a+b=3a+4b .

The perimeter is 4b+3a+3a+4b=6a+8b

Conclusion: the answer is E .

A) 3a+4b.

B) 3a+8b

C) 6a+4b

D) 6a+6b

E) 6a+8b

Exercise 14:

The total area of the rectangle .

The perimeter of the rectangle.

The perimeter of the rectangle.

Area of the rectangle.

Exercise 15:

 Expression Answer A Answer B Answer C 1 8(a + 3) 8 a + 3 8 a + 24 8 a + 83 2 5(x – 9) 5 x + 45 5 x – 9 5 x – 45 3 k(a + 9) a + 9 k k a + 9 k a + 9 k 4 $\pi$ (4 + R) 4 $\pi$+ $\pi$ R 4 $\pi$ + R 4 $\pi$ R

Exercise 16:

Julie wrote:

Marc wrote:

Sonia wrote:

Which of these three students correctly distributed 5?

Marc distributed correctly.

Exercise 17:

Exercise 18:

For x = 1 , perform the following calculations:

Exercise 19:

## The answer key to the exercises on literal calculation in 5th grade.

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