Module 1 District Assessment Review

Scientific Notation

100

Write the number as a power of 10 in exponential form.

10,000

10⁴

200

Write the number in standard form.

5.4 x 10³

5,400

300

Write the number in standard form.

9.33 x 10⁶

9,330,000

400

Write the number in scientific notation.

155,000

1.55 x 10⁵

500

Write the number in scientific notation.

435,000,000

4.35 x 10⁸

Exponents

100

Write the equivalent expression.

4² x 4⁵

4⁷

200

What value of k makes the equation true? 

5⁴ x 5⁷ = 5^k

k = 11

300

Evaluate. 

16⁰

1

400

Write the equivalent expression.

(4 x 10³)²

4² x 10⁶ = 16 x 10⁶

500

Write the equivalent expression.

(2 x 10⁴)³

2³ x 10¹² = 8 x 10¹²

Perfect Squares & Cubes

100

Evaluate:

sqrt(9)

3 and -3

200

Evaluate:

sqrt(49)

7 and -7

300

Evaluate:

root(3) (27)

3

400

Evaluate:

root(3) (64)

4

500

Evaluate:

sqrt(169)

13 and -13

Pythagorean Theorem

100

Between which two consecutive whole numbers is the value? 

sqrt(85)

Between 9 and 10, closer to 9 

200

The legs of a right triangle measure 5 cm and 12 cm. What is the length of the hypotenuse?

Use square root notation if the solution is an irrational number.

13 cm

300

The legs of a right triangle measure 7 ft and 18 ft. What is the length of the hypotenuse?

Use square root notation if the solution is an irrational number.

sqrt(373)

400

A leg measures 6 cm and the hypotenuse measures 10 cm. What is the length of the other leg?

Use square root notation if the solution is an irrational number.

8 cm

500

A leg measures 5 cm and the hypotenuse measures 15 cm. What is the length of the other leg?

Use square root notation if the solution is an irrational number.

sqrt(200)

Irrational Numbers

100

Rational or Irrational?

sqrt((36)

Rational

200

Rational or Irrational? 

pi

Irrational

300

Rational or Irrational?

4.2222222...

Rational

400

Rational or Irrational?

sqrt(41)

Irrational

500

Approximate the value of the expression by rounding to the nearest tenth: 

sqrt(15)

3.9