Advanced Unit 2 Review #1

​Advanced Unit 2 Review #1

Multiple Choice

Which of these is an irrational number?

• $$-4.2$$

• $$4.2367439...$$

• $$5$$

• $$20.7$$

Multiple Choice

Which of these is a rational number?

• $$2$$

• $$-6$$

• $$0.6$$

• All of the above.

Multiple Choice

Find $$\sqrt[]{36}$$ .

• $$6$$

• $$\pm6$$

• $$18$$

• $$\pm18$$

Math Response

Write $$0.\overline{2}$$ as a fraction in lowest terms.

Type answer here

Correct Answer: \frac{2}{9}

Deg^°

Rad

Multiple Choice

Richie says that $$2.141441444...$$ is a rational number. Elsa disagrees. Who is correct?

• Richie

• Elsa

• Neither are correct.

• Both are correct.

Reorder

List the numbers in order from least to greatest.

• $$-4$$

• $$-\frac{9}{4}$$

• $$\sqrt[]{5}$$

• $$3.7$$

1

2

3

4

• 1
• 2
• 3
• 4

Math Response

Find the length if the area of the square is $$A=121\ cm^2$$ .

Type answer here

Correct Answer: 11

Deg^°

Rad

Math Response

The volume of a box for earrings is 216 cubic centimeters. What is the length of one edge of the box?

Type answer here

Correct Answer: 6

Deg^°

Rad

Math Response

Phyllis wants to enclose a square garden with fencing. It has an area of 144 square feet. How much fencing will she need?

Type answer here

Correct Answer: 48

Deg^°

Rad

Multiple Choice

Solve for y.

$$y^2=81$$

• $$9$$

• $$\pm9$$

• $$40.5$$

• $$\pm40.5$$

Multiple Choice

Solve for x.

$$x^3=216$$

• $$6$$

• $$\pm6$$

• $$72$$

• $$\pm72$$

Math Response

Find $$-\ \sqrt[]{1000}$$ .

Type answer here

Correct Answer: -\sqrt{1000}

Deg^°

Rad

Multiple Select

Classify $$\sqrt[]{12}$$ . Select all that apply.

• Real

• Rational

• Irrational

• Whole

• Integer

Multiple Select

Classify $$-0.\overline{25}$$ . Select all that apply.

• Real

• Rational

• Irrational

• Whole

• Integer

Multiple Choice

Which number is greater?

• $$\sqrt[]{22}$$

• $$\sqrt[3]{34}$$

Multiple Select

Find the square roots of $$\pm4.84$$ . Select all that apply.

• $$2.2$$

• $$-2.2$$

• $$2.42$$

• $$-2.42$$

Math Response

Find $$\sqrt[3]{27}$$ .

Type answer here

Correct Answer: 3

Deg^°

Rad

Math Response

Find $$-\sqrt[3]{-216}$$ .

Type answer here

Correct Answer: 6

Deg^°

Rad

Math Response

Evaluate.

$$3+4\sqrt[3]{27}$$

Type answer here

Correct Answer: 15

Deg^°

Rad

Multiple Choice

Write $$\frac{5}{33}$$ as a decimal.

• $$0.15$$

• $$0.1\overline{5}$$

• $$0.\overline{15}$$

• $$1.\overline{5}$$

Categorize

Options (5)

$$-15.2\cdot\frac{9}{5}$$  

$$-1.73205081...\cdot8$$  

$$\sqrt[]{9}+\sqrt[]{50}$$  

$$\sqrt[]{15}+2.\overline{3}$$  

$$3.\overline{92}+12$$  

Determine whether the following are rational or irrationa.

RATIONAL

IRRATIONAL