Checkpoint 1 Review

square roots

100

The square root of 38 is closest to what integer?

6

200

The cube root of 30 is closest to what integer

3

300

The square root of 68 is between what 2 integers on the number line?

8 and 9

400

The square root of 124 is between which 2 integers on the number line?

11 and 12

500

The square root of 85 - Is it rational or irrational?

Irrational

exponents

100

x⁴  * x⁵

x⁹

200

x^-3/ x^-6

x³

300

(-15 x⁰ u^-1)/ (5 u³)

-3/u⁴

400

(p²t⁷/10)³

p⁶t²¹/1000

500

(2a⁴c³/5ac²)²

4a⁶c²/25

equations

100

w + 14 = -8

-22

200

k/3 + 4 = -16

-60

300

5 + 7a = 4a - 13

-6

400

5y = (12y + 16)/ 4

2

500

2(4r + 6) = 2/3(12r + 18)

All real numbers

inequalities

100

9y + 3 >10y

y<3

200

-3/4 x > 12

x< -16

300

-x/2 - 17 < 7

x>-48

400

4(2x - 11) < -12 + 2(x-4)

x<4

500

A number divided by eight minus thirteen is greater than negative six.

x >56

Word Problems

100

I have $6.35.  I owe Mike $10.60.  What is my balance?

-$4.25

200

There is 2/3 of a pizza left in the refrigerator.  I took it out and ate 1/4 of that.  What fraction of the original pizza did I eat?

1/6

300

(-2.35)(-1.64)

3.854

400

I have a board that is 3 5/8 feet long.  I need to cut it into 3 equal pieces.  What is the length of each piece?

1   5/24 feet long

500

I have 3 pieces of string.  One is 1/3 inch, one is 1/4 inch and one is 1/6 inch.  What is the total length of string in simplest form?

3/4 inch