Math Open Up Unit Review

Review of Unit 1

Are your notes complete??

Multiple Choice

Is the number rational or irrational?

$$\sqrt[]{49}$$  

• Rational

• Irrational

Multiple Choice

Is the following number rational or irrational?

$$0.333333333333$$  

• Rational

• Irrational

Multiple Choice

Is the number rational or irrational?

$$-2.375$$  

• Rational
• Irrational

Multiple Choice

Is the number rational or irrational?

$$2.2360679...$$  

• Rational
• Irrational

Multiple Choice

$$\sqrt{81}$$

• 8

• 7

• 10

• 9

Multiple Choice

$$\sqrt{64}$$  

• 4

• 6

• 9

• 8

Multiple Choice

$$\sqrt[3]{125}$$  

• 5

• 15

• 10

• 72

Multiple Choice

$$\sqrt[3]{8}$$  

• 4

• 3

• 2

• 512

Multiple Choice

$$\sqrt[]{\frac{4}{25}}$$  

• $$\frac{4}{25}$$  

• $$\frac{2}{5}$$  

• $$\frac{2}{12}$$  

• $$\frac{4}{5}$$  

Multiple Choice

$$\sqrt[3]{\frac{1}{216}}$$  

• $$\frac{1}{6}$$  

• $$\frac{1}{108}$$  

• $$\frac{1}{54}$$  

• $$\frac{1}{216}$$  

Multiple Choice

Solve: $$x^3\ =\ 64$$

• $$x\ =\ 4$$

• $$x\ =\ 64$$

• $$x\ =\ 16$$

• $$x\ =\ 8$$

Multiple Choice

Solve: $$x^3\ =\ 8$$

• $$x\ =\ 2$$

• $$x\ =\ -2$$

• $$x\ =\ 512$$

• $$x\ =\ 4$$

Multiple Choice

Solve: $$x^2\ =\ 25$$

• $$x\ =\ 5$$

• $$x\ =\ 25$$

• $$x\ =\ 15$$

• $$x\ =\ 225$$

Multiple Choice

Solve: $$x^2\ =\ 64$$

• $$x\ =\ 8$$

• $$x\ =\ 4$$

• $$x\ =\ 16$$

• $$x\ =\ 32$$

Multiple Choice

A square with side length s has an area of 144 square units. What is the length of one side of the square?

• 72 units

• 16 units

• 36 units

• 12 units

Multiple Choice

A square with side length s has an area of 196 square inches. What is the length of one side of the square?

• 14 inches

• 98 inches

• 49 inches

• 196 inches

Multiple Choice

A square with side length s has an area of 9 square feet. What is the length of one side of the square?

• 3 feet

• 9 feet

• 81 feet

• 4.5 feet

Multiple Choice

A cube with side length s has a volume of 512 cubic units. What is the length of one side of the cube?

• 32 units

• 16 units

• 8 units

• 4 units

Multiple Choice

A cube with side length s has a volume of 64 cubic meters. What is the length of one side of the cube?

• 32 meters

• 16 meters

• 8 meters

• 4 meters

Multiple Choice

A cube with side length s has a volume of 8 cubic meters. What is the length of one side of the cube?

• 512 meters

• 16 meters

• 2 meters

• 4 meters

Week #6 & #7

Exponent Rules

Multiple Choice

What would you do with the exponents to simplify:

$$3^5\ \cdot\ 3^6$$

• multiply them

• add them

• square them

• can't simplify

Multiple Choice

What would you do with the exponents to simplify: $$\frac{4^4}{4^9}$$

• multiply them

• divide them

• subtract them

• add them

Multiple Choice

What would you do with the exponents to simplify: $$\left(8^3\right)^3$$

• multiply them

• add them

• subtract them

• divide them

Multiple Choice

Simplify:  $$42^0$$

• 42

• 1

• 0

• -42

Multiple Choice

Simplify:  $$5^{-3}$$

• $$-15$$  

• $$-125$$  

• $$-\frac{1}{125}$$   

• $$\frac{1}{125}$$  

Multiple Choice

Simplify to an equivalent expression BUT leave in exponent form.

$$4^3\cdot4^5$$  

• 4⁸

• 16⁸

• 4¹⁵

• 16¹⁵

Multiple Choice

Simplify: $$7^{-2}$$

• $$\frac{1}{7^2}\ =\ \frac{1}{49}$$

• $$-49$$  

• $$-14$$  

• $$\frac{1}{14}$$

Multiple Choice

Simplify: $$\frac{m^{12}}{m^3}$$

• $$m^{12-3}\ =\ m^9$$

• $$m^{12\div3}\ =\ m^4$$

• $$m^{-9}$$

• $$-m^9$$