Topic 1 Review!

Lesson 2: Understanding Irrational Numbers

100

All Fractions: Rational or Irrational?

Rational

200

The square root of a non-perfect square or the cube root of a non-perfect cube: Rational or Irrational?

Irrational

300

Is pi a repeating decimal?

No, it is continuous but non-repeating.

400

Side length of a square with an area of 100 square units: Rational or Irrational?

Rational (equal to 10 units)

500

For the square root of (65 + n), what is one value of n that would make that number rational?

Negative 1 (to reach 64) or positive 16 (to reach 81)

Lesson 3: Compare and Order Real Numbers

100

Which is larger, pi or the square root of 13?

Pi = approx. 3.14

Square root of 13 = approx. 3.61

Square root of 13 is larger

200

When given a set of numbers in different forms, what must you do to make it easier to compare and order the numbers?

Make sure they're all in the same form (most likely decimals)

300

Which two consecutive whole numbers does the square root of 18 fall between on a number line?

4 and 5 (approx. 4.24)

400

Compare the square root of 7 with 3.44444...

The square root of 7 is approx. 3.5, so it is larger than 3.4444...

500

Give an approximation for the cube root of 57 to the nearest hundredth.

Approx. 3.85

Lesson 4: Evaluate Square and Cube Roots

100

Find the area of a square with a side length of 5 feet

25 feet squared

200

Find the volume of a cube with an edge length of 4 inches

64 inches cubed

300

How would you find the side length of a cube if you were given the volume?

Find the cube root of the volume (and don't forget units!)

400

If a square has a side length equal to the square root of 13 units, find the area of the square.

The square has an area of 13 square units.

500

Sonya wants to sew ribbon along each side of a square pillow. If the pillow has an area of 144 square inches, how much ribbon must she buy to have the exact amount that she needs?

48 square inches

Lesson 5: Solve Equations with Square/Cube Roots

100

solve x squared = 121

x = + & - 11

200

Solve x cubed = 29

x = the cube root of 29

300

Solve the cube root of s = -3

s = -27

400

Square root of 49 minus the cube root of 64

7 - 4 = 3

500

The cube root of (-8/27)

-2/3

Lessons 6 & 7: Properties of Exponents

100

7³ x 7⁸ = ?

7¹¹

200

What operation will you use on your exponents to solve (3³)⁴ ?

Multiplication ( 3¹² )

300

All non-zero bases with an exponent of 0 are equal to this number.

1!

400

Describe the process of changing a negative exponent to a positive exponent in your own words.

Find the reciprocal (FLIP) and change the exponent's sign.

500

(2⁴ x 4⁴) ÷ (8² x 8) = ?

8