Free Printable 5.2 Algebraic expressions involving basic arithmetic

1.

$3x^2-5x^3-x\left(2x^2+4x\right)$
Simplify the expression above

a)

$x^2-7x^3$

b)

$7x^3-x^2$

c)

$-x^2-7x^3$

d)

$7x^2-7x^3$

2.

The algebraic term that consists of one variable with the power is called

a)

term

b)

algebraic term

c)

linear equation term

d)

linear algebraic term

3.

A cube has a side of n cm. Express the total surface area, A, of the cube in terms of n.

a)

$A=\ n^3$

b)

$A=\ n^2$

c)

$A\ =\ 6n^3$

d)

$A=\ 6n^2$

4.

A farmer divides the chickens into 120 cages and send them to 6 duck sellers.

Which of the following expresses correctly the calculation for the number of chickens which one seller gets?

a)

$120d\ \times\ 6$

b)

$120d\ \div\ 6$

c)

$120\ \div\ 6d$

d)

$120\ \times6d$

5.

$5\left(6b-2\right)\ -5\left(6-2b\right)$ . Simplify.

a)

$40b-40$

b)

$20b-20$

c)

$20b-40$

d)

$40b-20$

6.

In the term of -15mn²p, state the coefficient of 15n²p

a)

-1

b)

m

c)

-m

d)

-mn

7.

$-x\left(x-2\right)$

a)

$0$

b)

$-x^2-2x$

c)

$2x-x^2$

d)

$x^2-2x$

8.

$Simplify\ :\ 51a^4b^2c\ \div\frac{17bc}{a^2}\times8ab^4$

a)

$13a^4bc$

b)

$13a^5b^3$

c)

$24a^4b^7c^2$

d)

$24a^7b^5$

9.

Diagram shows a triangle. Find the perimeter of the triangle.

a)

$\left(405\ +2ab\right)$ cm

b)

$\left(415+2ab\right)$ cm

c)

$\left(530-7ab\right)$ cm

d)

$\left(525-2ab\right)$ cm

10.

The algebraic term 8p²q³ can be written as

a)

$2p^2\ \times\ 2q$

b)

$1\times\ 8\ \times p\times\ q^3$

c)

$8\times p\times2\times q\times3$

d)

$8\times p\times p\times q\times q\times q$

5.2 Algebraic expressions involving basic arithmetic

Total questions: 10

Worksheet time: 6mins

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