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Categorize Real Numbers
Rational Numbers
Operations with Rational Numbers
Distributive Property
Square Roots
100

Tell whether 0.3 is a real number, a rational number, an irrational number, an integer, or a whole number. List all categories that apply.

real, rational

100

If a = -0.2, find -a and |a|.

0.2 and 0.2

100

-4/5 + 11/12

NO CALCS. Simplify.

7/60

100

Use the distributive property to simplify.

-3(y + 9)

-3y - 27

100
Evaluate the positive and negative square root of 225.

5 and -5

200

Tell whether the negative square root of 8 is a real number, a rational number, an irrational number, an integer, or a whole number. List all categories that apply.

real, irrational

200

If a = 7/8, find -a and |a|.

-7/8 and 7/8

200

Evaluate y - (2.4 - x) when x = 2 and y = -3.

NO CALCS. Simplify.

-3.4

200

Use the distributive property to simplify.

(z - 4)(-z)

-z2 + 4z

200

Without calculating, approximate the negative square root of 142 to the nearest integer.

-12

300

Tell whether -15 is a real number, a rational number, an irrational number, an integer, or a whole number. List all categories that apply.

real, rational, integer

300

Order the numbers from least to greatest:

-5.2, -3/8, -6, 0.3, -1/4

-6, -5.2, -3/8, -1/4, 0.3

300

2.5(-4y)(-2)

NO CALCS. Simplify.

20y

300

Use the distributive property to simplify.

3(x - 2) + 14

3x + 8

300

Evaluate -7 times the square root of x when x = 36

-42

400

Tell whether the positive square root of 49 is a real number, a rational number, an irrational number, an integer, or a whole number. List all categories that apply.

real, rational, integer, whole

400

Order the numbers from least to greatest:

2.1, 0, -13/10, -1.38, 3/5

-1.38, -13/10, 0, 3/5, 2.1

400

-14/15 divided by -7/3

NO CALCS. Simplify.

2/5

400

Use the distributive property to simplify. No calcs.

9.1 - 4(m + 3.2)

-3.7 - 4m

400

Is this conditional statement true or false? If false, give a counterexample.

If a number is a perfect square, then it is not a whole number.

False, 9 is a perfect square and a whole number

500

Tell whether the positive square root of 90 is a real number, a rational number, an irrational number, an integer, or a whole number. List all categories that apply.

real, irrational

500

Order the numbers from least to greatest:

positive square root of 15, -4.3, 4.2, 0, negative square root of 25

negative square root of 25, -4.3, 0, positive square root of 15, 4.2

500

(-18n - 9)/ -9

NO CALCS. Simplify.

2n + 1

500

Use the distributive property to simplify. No calcs.

5n + 1/2(8n - 7)

9n - 3 1/2 or 9n - 3.5
500

The area of a square painting is 3600 square inches. Find the side length of the painting.

60 inches