Quiz about Practice Test

Question 1

Simplify the following expression

$$7^{10}\cdot7^{16}$$

Accepted Answer

$$7^{26}$$

Answer

$$49^{26}$$

Answer

$$7^{160}$$

Answer

$$49^{160}$$

Question 2

Simplify the following expression

$$2^{10}\cdot2^{-4}$$

Accepted Answer

$$2^6$$

Answer

$$2^{14}$$

Answer

$$4^{14}$$

Answer

$$4^6$$

Question 3

Simplify the following

$$5^{-10}\cdot5^5$$

Accepted Answer

$$\frac{1}{5^5}$$

Answer

$$5^{-5}$$

Answer

$$25^5$$

Answer

$$\frac{1}{25^5}$$

Question 4

Simplify the following expression

$$\frac{15x^9}{5x^2}$$

Accepted Answer

$$3x^7$$

Answer

$$3x^{11}$$

Answer

$$3x^9$$

Answer

$$10x^7$$

Question 5

Simplify the following expression

$$\frac{100y^4}{500y^{10}}$$

Accepted Answer

$$\frac{1}{5y^6}$$

Answer

$$5y^6$$

Answer

$$\frac{y^6}{5}$$

Answer

$$\frac{1}{400y^6}$$

Question 6

Simplify the following

$$\frac{a^{20}}{a^{12}}$$

Accepted Answer

$$a^8$$

Answer

$$a^{32}$$

Answer

$$\frac{1}{a^8}$$

Answer

$$8$$

Question 7

Simplify the following

$$\frac{x^{30}}{x^{50}}$$

Accepted Answer

$$\frac{1}{x^{20}}$$

Answer

$$x^{20}$$

Answer

$$x^{-20}$$

Answer

$$20$$

Question 8

$$\left(3x^7a^{10}\right)^2$$

Accepted Answer

$$9x^{14}a^{20}$$

Answer

$$9x^{a20}$$

Answer

$$9x^9a^{12}$$

Answer

$$6x^{14}a^{20}$$

Question 9

Simplify the following

$$\left(3.1\cdot10^6\right)+\left(4.2\cdot10^6\right)$$

Accepted Answer

$$7.3\cdot10^6$$

Answer

$$7.3\cdot10^{12}$$

Answer

$$7.3\cdot10^{36}$$

Answer

$$7.3\cdot10^0$$

Question 10

Simplify the following

$$\frac{b^{15}}{b^{7}}$$

Accepted Answer

$$b^8$$

Answer

$$b^{22}$$

Answer

$$\frac{1}{b^8}$$

Answer

$$8$$

Question 11

Simplify the following expression

$$3^{8}\cdot3^{-2}$$

Accepted Answer

$$3^6$$

Answer

$$3^{10}$$

Answer

$$9^{10}$$

Answer

$$9^6$$

Question 12

Simplify the following expression

$$\frac{25z^6}{5z^3}$$

Accepted Answer

$$20z^3$$

Answer

$$5z^{9}$$

Answer

$$5z^6$$

Answer

$$5z^3$$

Question 13

$$\left(3\cdot10^{10}\right)-\left(2.4\cdot10^{10}\right)$$

Accepted Answer

$$6.0\cdot10^9$$

Answer

$$0.6\cdot10^{10}$$

Answer

$$6\cdot10^{10}$$

Answer

$$0.6\cdot10^{20}$$

Question 14

$$\left(2.1\cdot10^5\right)+340000$$

Accepted Answer

$$5.5\cdot10^5$$

Answer

$$5.5\cdot10^6$$

Answer

$$5.5\cdot10^4$$

Answer

$$5.5\cdot10^8$$

Question 15

Simplify the following

$$\left(3.2\cdot10^{-3}\right)\left(4.5\cdot10^{15}\right)$$

Accepted Answer

$$1.44\cdot10^{13}$$

Answer

$$1.44\cdot10^{12}$$

Answer

$$1.44\cdot10^{15}$$

Answer

$$14.4\cdot10^{12}$$

Question 16

Simplify the following

$$\left(2.2\cdot10^6\right)\left(1.6\cdot10^7\right)$$

Accepted Answer

$$3.52\cdot10^{13}$$

Answer

$$3.8\cdot10^7$$

Answer

$$1.82\cdot10^7$$

Answer

$$3.52\cdot10^1$$

Question 17

Simplify the following

$$\frac{9\cdot10^{10}}{3\cdot10^7}$$

Accepted Answer

$$3\cdot10^3$$

Answer

$$3\cdot10^{17}$$

Answer

$$6\cdot10^3$$

Answer

$$3$$

Question 18

Which operation would you use the for the following. Jupiter and Mars both have weights. How much more does Jupiter weigh than Mars?

Accepted Answer

Subtraction

Answer

Addition

Answer

Multiplication

Answer

Division

Question 19

Both Jupiter and Mars have weights. What is the combined weight of both?

Accepted Answer

addition

Answer

subtraction

Answer

multiplication

Answer

division

Question 20

How many more times does earth weigh than the moon?

Accepted Answer

division

Answer

addition

Answer

subtraction

Answer

multiplication

Question 21

The sun is 95 times bigger than the sun, how much does the sun weigh?

Accepted Answer

multiplication

Answer

addition

Answer

subtraction

Answer

division

Question 22

Solve the following equation

$$5x+3=4x-10$$

Accepted Answer

x = -13

Answer

x = 7

Answer

x = 20

Answer

x = 0

Question 23

Solve the following equation

$$3x-12=3\left(x-4\right)$$

Accepted Answer

Infinite Solutions

Answer

x=12

Answer

x=6

Answer

x=3

Question 24

Solve the following equation

$$x^2=25$$

Accepted Answer

x=5 or x=-5

Answer

x=10 or x=-10

Answer

x=4 or x=-4

Answer

x=6 or x=-6

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