Quiz about Algebra

Question 1

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

Accepted Answer

$$4r^5$$

Answer

$$4r^1$$

Answer

$$-4r^5$$

Answer

$$4r^6$$

Question 2

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

Accepted Answer

$$-10a^3bc$$

Answer

$$-7a^2bc$$

Answer

$$10abc$$

Answer

$$10a^2bc$$

Question 3

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

Accepted Answer

$$f^4$$

Answer

$$f^6$$

Answer

$$f^{48}$$

Answer

$$f^{12}$$

Question 4

$$\frac{15x^9 imes3x^6}{9x^{10} imes x^4}$$ simplifies to:

Accepted Answer

$$5x$$

Answer

$$5x^9$$

Answer

$$9x^{ }$$

Answer

$$9x^9$$

Question 5

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

Accepted Answer

$$-4kn$$

Answer

$$4k^4n$$

Answer

$$-4k^7n^5$$

Answer

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

Question 6

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

Accepted Answer

$$3xy^5z^3$$

Answer

$$3xy^5z^2$$

Answer

$$28xy^5z^3$$

Answer

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

Question 7

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

Accepted Answer

$$b^5$$

Answer

$$a^{16}b^5$$

Answer

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

Answer

$$b^{11}$$

Question 8

$$\frac{3c^7 imes8d^4}{12c^3 imes4c^4}$$ simplifies to:

Accepted Answer

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

Answer

$$2d^4$$

Answer

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

Answer

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

Question 9

$$\left(k^2 ight)^3 imes\left(k^5 ight)^2$$ simplifies to:

Accepted Answer

$$k^{16}$$

Answer

$$k^{12}$$

Answer

$$k^{60}$$

Answer

$$k^{15}$$

Question 10

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

Accepted Answer

$$b^5$$

Answer

$$b^4$$

Answer

$$b$$

Answer

$$b^{12}$$

Question 11

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

Accepted Answer

$$64k^6$$

Answer

$$2k^6$$

Answer

$$12k$$

Answer

$$12k^6$$

Question 12

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

Accepted Answer

$$27a^{12}$$

Answer

$$9a^{12}$$

Answer

$$9a^7$$

Answer

$$27a^7$$

Question 13

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

Accepted Answer

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

Answer

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

Answer

$$\frac{12}{g}$$

Answer

$$\frac{81}{g}$$

Question 14

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 15

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

Accepted Answer

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

Answer

$$-a^4$$

Answer

$$-4a$$

Answer

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

Question 16

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

Accepted Answer

$$y^{-2}$$

Answer

$$-y^2$$

Answer

$$-y^{-2}$$

Answer

$$2y$$

Question 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:

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 18

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

Accepted Answer

$$9x^2-4$$

Answer

$$6x^2+4$$

Answer

$$9x^2-12x-4$$

Answer

$$9x^2+6x-4$$

Question 19

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

Accepted Answer

$$a^2+10a+25$$

Answer

$$a^2+5a+10$$

Answer

$$a^2+10a+10$$

Answer

$$a^2+25$$

Question 20

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

Accepted Answer

$$4k^2-28k+49$$

Answer

$$2k^2-28k+49$$

Answer

$$4k^2+28k+49$$

Answer

$$4k^2-49$$

Question 21

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

Accepted Answer

$$4-16x^2$$

Answer

$$4+8x$$

Answer

$$4-8x^2$$

Answer

$$4-8x$$

Question 22

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

Accepted Answer

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

Answer

$$ab-9cd$$

Answer

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

Answer

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

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