Algebra II: Unit 1 Quiz Review

Simplifying Radicals

100

Simplify √175

5√7

200

Simplify √196

14

300

Simplify √384

8√6

400

Simplify √441

21

500

Simplify √216

6√6

Miscellaneous

100

Give an example of an integer that is NOT whole or natural. 

Must be a negative counting number

200

Solve for b

9a=(12a+3b)/4

b=8a

300

To what set of values does -4/5 belong?

Real, Rational

400

Solve for x

(x-y)/2z=3

x=6z+y

500

Evaluate:

(-4²+36)/5-|3-5|

2

Solving Equations

100

10 – (8p + 3) = 9(2p – 5)

p=2

200

-5(3x – 4) + 4 = 114

x=-6

300

Solve x/(x-4)=2/3

x=-8

400

3(n + 11) – 5n = -2(n – 12) + 9

All Real Numbers!!

500

(2/5)x-1/3=2/3

x=5/2

Word Problems

100

The sum of three consecutive odd integers is 93. Find the integers.

x+(x+2)+(x+4)=93

29,31, 33

200

A carpenter is building a shelving system and cuts a 14-foot length of cherry shelving into three pieces. The second piece is twice as long as the first, and the third piece is 2 feet longer than the first. Find the length of each piece of cherry shelving.

x+2x+(x+2)=14

1st: 3 ft

2nd: 6 ft

3rd: 5 ft

300

The measure of one angle is 15 degrees more than one-half the measure of another other angle. If the angles are supplementary, find both angle measures.

x+.5x+15=180

110 and 70

400

Find three consecutive even integers such that the sum of the smallest integer and twice the median integer is 20 more than the largest integer.

x+2(x+2)=(x+4)+20

10, 12, 14

500

Kelly, Laura, and Tia sold boxes of cookies for a fundraiser. Kelly sold 15 boxes less than Laura. Tia sold twice as many boxes as Kelly. If they sold 83 boxes of cookies in total, how many boxes did each girl sell?

x+(x-15)+2(x-15)=83

Kelly: 17

Laura: 32

Tia: 34

Absolute Value Equations

100

|2x-3|=9

x=6

x=-3

200

|3x|-5=7

x=4

x=-4

300

|2x-7|+9=5

No Solution!!

400

5x-3=|x+9|

x=3 (-1 is extraneous)

500

-4x-2=|6x+20| 

x=-2.2

x=-9