Free Printable Algebra

1.

$-4r^3\times-r^2$ can be simplified to give:

a)

$4r^1$

b)

$-4r^5$

c)

$4r^5$

d)

$4r^6$

2.

The product of $-abc$ , $-5a$ and $-2a$ is:

a)

$-10a^3bc$

b)

$-7a^2bc$

c)

$10abc$

d)

$10a^2bc$

3.

$\frac{f^8\times f^6}{f^{10}}$ simplifies to:

a)

$f^4$

b)

$f^6$

c)

$f^{48}$

d)

$f^{12}$

4.

$\frac{15x^9\times3x^6}{9x^{10}\times x^4}$ simplifies to:

a)

$5x^9$

b)

$9x^{ }$

c)

$5x$

d)

$9x^9$

5.

$\frac{-36k^4n^3}{9n^2k^3}$ simplifies to:

a)

$4k^4n$

b)

$-4k^7n^5$

c)

$-4kn$

d)

$-45k^{12}n^6$

6.

$\frac{42x^5y^7z^6}{14x^4y^2z^3}$ simplifies to:

a)

$3xy^5z^2$

b)

$28xy^5z^3$

c)

$3xy^5z^3$

d)

$3x^9y^9z^9$

7.

$\frac{a^8\times b^5}{a^2\times a^6}$ simplifies to:

a)

$a^{16}b^5$

b)

$a^{10}b^{11}$

c)

$b^5$

d)

$b^{11}$

8.

$\frac{3c^7\times8d^4}{12c^3\times4c^4}$ simplifies to:

a)

$2d^4$

b)

$\frac{d^4}{2}$

c)

$\frac{c^4d^4}{24}$

d)

$\frac{d^4}{24}$

9.

$\left(k^2\right)^3\times\left(k^5\right)^2$ simplifies to:

a)

$k^{16}$

b)

$k^{12}$

c)

$k^{60}$

d)

$k^{15}$

10.

$\frac{\left(b^5\right)^4}{\left(b^3\right)^5}$ simplifies to:

a)

$b^4$

b)

$b$

c)

$b^5$

d)

$b^{12}$

11.

$\left(2k\right)^6$ simplifies to:

a)

$2k^6$

b)

$12k$

c)

$64k^6$

d)

$12k^6$

12.

$\left(3a^4\right)^3$ simplifies to:

a)

$27a^{12}$

b)

$9a^{12}$

c)

$9a^7$

d)

$27a^7$

13.

$\left(\frac{3}{g}\right)^4$ simplifies to:

a)

$\frac{12}{g^4}$

b)

$\frac{81}{g^4}$

c)

$\frac{12}{g}$

d)

$\frac{81}{g}$

14.

$\left(\frac{k^8}{7}\right)^2$ simplifies to:

a)

$\frac{k^{10}}{7}$

b)

$\frac{k^{16}}{49}$

c)

$\frac{k^{16}}{7}$

d)

$\frac{k^{10}}{49}$

15.

$a^{-4}$ is the same as:

a)

$-a^4$

b)

$-4a$

c)

$\frac{1}{a^4}$

d)

$\frac{1}{a^{-4}}$

16.

$\frac{1}{y^2}$ is the same as:

a)

$-y^2$

b)

$y^{-2}$

c)

$-y^{-2}$

d)

$2y$

17.

The formula for finding the velocity, $v$ , of a moving object is $v^2=u^2+2as$ . A correct rearrangement of the formula would be:

a)

$u^2=v^2+\frac{2as}{2}$

b)

$s=\frac{v^2-u^2}{2a}$

c)

$a=\frac{2s}{v^2-u^2}$

d)

$a=\frac{u^2-v^2}{2s}$

18.

$\left(3x-2\right)\left(3x+2\right)$ is the same as:

a)

$6x^2+4$

b)

$9x^2-12x-4$

c)

$9x^2+6x-4$

d)

$9x^2-4$

19.

$\left(a+5\right)^2$ is the same as:

a)

$a^2+5a+10$

b)

$a^2+10a+25$

c)

$a^2+10a+10$

d)

$a^2+25$

20.

$\left(2k-7\right)^2$ is the same as:

a)

$2k^2-28k+49$

b)

$4k^2+28k+49$

c)

$4k^2-49$

d)

$4k^2-28k+49$

21.

When expanded, $\left(2-4x\right)\left(2+4x\right)$ is:

a)

$4-16x^2$

b)

$4+8x$

c)

$4-8x^2$

d)

$4-8x$

22.

When expanded, $\left(ab+3cd\right)\left(ab-3cd\right)$ is:

a)

$ab-9cd$

b)

$a^2b^2+9c^2d^2$

c)

$a^2b^2-9c^2d^2$

d)

$a^2b^2+6c^2d^2$

Algebra

Total questions: 22

Worksheet time: 16mins

Similar Resources on Wayground