Free Printable CAPS Grade 9 Algebraic Expressions Quiz

1.

Simplify: $-26a-\left(-3a\right)$

a)

$-29a$

b)

$+29a$

c)

$-23a$

d)

$+23a$

2.

Simplify: $\left(d\right)\left(-2d^2\right)\left(-3d^3\right)$

a)

$-5dd^2d^3$

b)

$-6dd^2d^3$

c)

$-5d^6$

d)

$-6d^6$

e)

$+6d^6$

3.

Determine; $\sqrt{25y^{10}}$

a)

$5y^{10}$

b)

$5y^5$

c)

$5y^3$

d)

$5y$

4.

Determine; $\sqrt{9x^{12}+16x^{12}}$

a)

$25x^{12}$

b)

$5x^{12}$

c)

$5x^6$

d)

$25x^6$

5.

The number that does not change in an an algebraic expression is called a constant term.

a)

False

b)

True

6.

How many terms are in the following algebraic expression: $-x-2+\frac{3}{x^2+1}+4x^3$

a)

$6$

b)

$5$

c)

$4$

d)

$3$

7.

What is the coefficient of $y$ in the following algebraic expression: $y^3-y+2-3y^2$

a)

$3$

b)

$-3$

c)

$1$

d)

$-1$

8.

What is the value of the the following algebraic expression: $-x-2+\frac{3}{x^2+1}+4x^3$ when $x=1$

a)

$\frac{3}{2}$

b)

$3\frac{1}{2}$

c)

$\frac{5}{2}$

d)

$5\frac{1}{2}$

9.

$3x\left(5x-2\right)\$ Simplify the following algebraic expression:

a)

$8x-5$

b)

$8x^2-6x$

c)

$15x-6$

d)

$15x^2-6x$

10.

Expand & simplify the following algebraic expression: $\left(k^4+2\right)\left(k^4-2\right)$

a)

$k^4+2k^4-2$

b)

$k^8+4$

c)

$k^8-2$

d)

$k^8-4$

11.

Expand & simplify the following algebraic expression: $\left(a+2b\right)^2$

a)

$a^2+4ab+4b^2$

b)

$\left(a+2b\right)\left(a+2b\right)$

c)

$a^2+4b^2$

d)

$a^2-4b^2$

12.

Simplify the following algebraic expression: $-\left(m^2-2m+3\right)\$

a)

$-m^2+2m-3$

b)

$-m^2+2m+3$

c)

$-m^2-2m+3$

d)

$-m^2+2m+3$

13.

Simplify the following algebraic expression: $-2p\left(-p^2-2p+3\right)\$

a)

$2p^3+2p^2-6p$

b)

$2p^3+4p^2-6p$

c)

$2p^3+4p^2+6p$

d)

$-2p^3-4p^2+6p$

14.

Simplify the following algebraic expression: $-2s-\left(s^2-5s-6\right)$

a)

$-s^2+3s+6$

b)

$-s^2-7s-6$

c)

$-7s-s^2-6$

d)

$-s^2-3s+6$

15.

Simplify the following algebraic expression:

3 (v - w) - 2 (2 v - w)

a)

$3v-3w-4v+2w$

b)

$3v-3w-4v-2w$

c)

$-v-w$

d)

$v-w$

16.

Expand & simplify the following algebraic expression:

x\left(x-4\right)+\left(x-3\right)\left(x+2\right)\

a)

$x^2+3x+2x-6+x^2-4x$

b)

$x^2-3x+2x-6+x^2-4x$

c)

$2x^2-5x-6$

d)

$2x^2-x-6$

17.

$15$ more than thrice a number $t$

a)

$3t+15$

b)

$15-3t$

c)

$15+t+3$

d)

$75t$

18.

Amber has 10 rand less than Cindy. Cindy has $z$ rands. Which expressions shows how much money Amber has?

a)

$z+z+z+z+z+z+z+z+z+z$

b)

$10-z$

c)

$z-10$

d)

$10z$

19.

You get 50 cents per can returned. You return c cans. How much money will you receive for these cans?

a)

$50\$ cents

b)

$50$ rand

c)

$\left(50+c\right)\$ cents

d)

$\left(50c\right)\$ cents

20.

Tembinkosi is three times as old as Jordan. The sum of their ages is 20. How old is Jordan?

a)

$20$

b)

$15$

c)

$10$

d)

$5$

CAPS Grade 9 Algebraic Expressions Quiz

Total questions: 20

Worksheet time: 22mins

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