AFDA Ch.1 Algebra Review

Real Number Operations

100

What type of number is -7? Be as specific as possible.

Integer

200

Is -3 a rational number?

Yes, because it can be written as fraction/ratio.

300

Name a whole number that is not a natural number.

0

400

What type of number, most specifically, is 1/2?

A rational number.

500

If a number has a repeating decimal is it an irrational number or a rational number?

rational

Simplifying Algebraic Expressions

100

2³ - 16 + 4 x 8 - l12l

12

200

Evaluate when x = 4,          y = -12, z = -3

y/z

4

300

Evaluate when x = 4, y = -12, z = -3

-lzl - lx+yl

-11

400

Simplify 

(x²y)³ / (x³y^-5)

x³y⁸

500

A polygon has sides with lengths of 11x, 9x+2, x-3, 10x-7, 2x+1.

33x - 7

Solving and Applying Equations

100

Solve 5z - 8 + 3(z + 4) = -36

z = -5

200

2(n + 4) - 5(3n - 7) = -113

n = 12

300

4(z - 3) - (5 - 3z) = 3(2z - 4)

z = 5

400

Find all numbers such that three times the difference of 10 and the number is greater than the sum of 12 and the opposite of the number.

n < 9

500

7x + 12(x - 9) + 4(3x + 6) = 5(3x - 2) + 8(x - 3)

x = 25/4

Inequalities

100

Solve and graph.

-6x < -12

x > 2 

200

Solve and graph.

3< x + 2 < 9

1 < x < 7

300

Solve and graph.

4x - 9 < 7 and -3x + 4 < 16

-4 < x < 4 

400

Solve and graph.

2x - 5 > 13 or 7x + 9 < 2

x < -1 or x > 9

500

Solve and graph.

3x - 8 < 7 or 2x + 5 > 7

All real numbers.

Absolute Value Equations

100

lx - 2l = 3

x = {-1,5}

200

l2x + 1l = -4

No Solution

300

l3y - 9l = 2y + 7

y = {2/5, 16}

400

l8x + 3l + 7 = 3

No Solution

500

l8x + 12 - 7xl + 3x - 2 = 0

x = {-5/2 , 7}