Five-Minute Check (over Chapter 9)

Then/Now

New Vocabulary

Key Concept: Square Root

Example 1: Find Square Roots

Example 2: Estimate Square Roots

Example 3: Use a Calculator to Estimate a Square Root

Example 4: Use a Calculator to Estimate a Negative Square Root

Example 5: Real World Example: Use Square Roots to Solve Problems

Over Chapter 9

A. 10a2b3

B. 52a2b3

C. 10ab5

D. 5ab5

Write 5 ● 5 ● a ● a ● b ● b ● b using exponents.

Over Chapter 9

A. 2xy

B. 4xy

C. 4(xy)4

D. (xy)4

Write x ● y ● x ● y ● x ● y ● x ● y using exponents.

Over Chapter 9

A. 320

B. 310

C. 39

D. 920

Find 35 ● 34. Express using positive exponents.

Over Chapter 9

A. –35a5

B. –12a6

C. –12a5

D. 35a5

Find (5a2) (–7a3). Express using positive exponents.

Over Chapter 9

A.

B.

C.

D.

Express using positive exponents

Over Chapter 9

A. y = 3x3

B. y = 3x2 + 2x – 2

C. y = 3x – 2

D. y = 3x

Which of the following equations represents the graph shown?

You have already evaluated expressions containing squares of numbers. (Lesson 8–1)

• Find square roots.

• Estimate square roots.

• perfect square

• square root

• radical sign

Find Square Roots

Answer: 8

A.

Find Square Roots

Answer: –11

B.

Find Square Roots

Answer: +16 and –16

Find Square Roots

Answer: There is no square root because no number times itself is equal to –9.

D.

A. 624

B. 12.5

C. 5

D. –5

A.

A. 12

B. –12

C. –72

D. –20,736

B.

A. 4

B. –4

C. 4 and –4

D. 256 and –256

C.

Example 1 CYP D

A. –8

B. 8

C. –32

D. There is no real square root.

D.

Estimate Square Roots

Answer: 5

A.

The first perfect square less than 22 is 16.

The first perfect square greater than 22 is 25.

B.

Estimate Square Roots

Answer: –18

The first perfect square less than 319 is 289.

The first perfect square greater than 319 is 324.

A. 6

B. 7

C. 8

D. 9

A.

A. –6

B. –7

C. 6

D. 7

B.

Use a Calculator to Estimate a Square Root

Use a calculator.

Round to the nearest tenth.

Check for Reasonableness Since 82 = 64, the answer is reasonable.

ENTER2nd 57 7.549834435

A. 3.9

B. 9.8

C. 38.5

D. There is no real square root.

Use a Calculator to Estimate a Negative Square Root

Use a calculator.

Round to the nearest tenth.

Check for Reasonableness Since 72 = 49, the answer is reasonable.

ENTER2nd 42 6.480740698

A. –8.5

B. –36.0

C. 8.5

D. There is no real square root.

Use Square Roots to Solve Problems

SKYSCRAPER The tallest building in Houston, Texas, is the JP Morgan Chase Tower, standing at 1002 feet. About how far to the horizon can a person standing on the top floor see? Round your answer to the nearest tenth.

Replace h with 1002.

Evaluate the square root first.

Write the formula.

Use Square Roots to Solve Problems

≈ 38.6 Multiply.

Answer: On a clear day, a person could see about 38.6 miles.

A. 23.2 miles

B. 23.3 miles

C. 23.7 miles

D. 24.4 miles