Algebra 2 Unit 1 Test

Simplifying Radicals and Classifying Numbers

100

Simplify the sqrt(208)

4 (sqrt(13))

200

What is the smallest subset of real numbers that contains the value sqrt(5) - sqrt(5)

W, Whole Numbers

300

Which sets of numbers does (sqrt(7)/sqrt(7)) belong to?

Natural, Whole, Integer, Rational, Real

400

Simplify the radical and name the smallest subset of numbers it belongs to:  -sqrt(196)

= (-14) - smallest subset is integers

500

Name all subsets of numbers in the real number system and give an example of each

Natural, Whole, Integer, Rational, and Irrational

Expressions and Operations

100

Simplify the expression 

 (| 5 - 2(9) | + 9² ) / 3

40

200

(2⁵-4*3³)/7+ (1-sqrt(100))

38

300

10xy / 8x - 2y + 10, x =4, y = -7

-5

400

p²+2pq-3q², p = (1/4) and q = (2/3)

-15/16

500

2/5 ( x -4y) + 1/2(2+y) x = 1, y = -6

8

Solving Equations

100

Solve for m, 

2m-n / 5 = 7n

m = 18n

200

| 3x - 9| = 24

-5, 11

300

5p - 8 / 2 = 7p + 4/ 2

-6

400

If 2x - 1 = 13, evalute -x²-4x

-77

500

| 6w+4| = 2w- 10

No solution

Inequalities

100

If x > 4, when graphing this inequality would use you a closed or open dot?

Open

200

write the set notation for x > 5

{x | x >5 }

300

Write the solution in set notation for:

4 + 5(2w-10) / -2 < w+ 7

{w | w> 8/3}

400

Solve: 

-8m-12 > -5 (m-8)-3(m-7)

No solution!

500

11x - 4  ≤ 6x - (3 - 5x)

All real numbers

Abs Value Inequalities

100

What are the four rules for solving an absolute value inequality?

1. ISOLATE the absolute value
2. Create 2 cases, KISS

3. Solve both inequalities

4. Graph your solutions and check!

200

| 8a + 10 | +3  < 25

(-4, 1.5)

300

|-2v-4| < 8

(-6, 2)

400

2 (7a-1) -11a ≥ 3 (a-4)

All real numbers

500

What is the NUMBER ONE RULE for solving ANY absolute value expression or inequality?

ISOLATE THE ABSOLUTE VALUE