Unit 1 - Algebra Basics

Real Numbers and Their Properties

100

What is the smallest set of real numbers that contains the value -6?

Integers

200

Which property is demonstrated below:

4(a - b) = 4a - 4b

Distributive Property

300

Which property is demonstrated below:

If 5x = 25, then 25 = 5x

Symmetric Property

400

List all sets of numbers the value below belongs to:

3.35 - 3.35

Real Numbers, Rational Numbers, Integers, Whole Numbers

500

Integers are closed under all operations except what?

Division

Simplifying

100

Simplify:

4 + 2³ - I-5I

7

200

Simplify:

(3-13)² + 20

120

300

Simplify:

3m - 12 + 10m - 1

13m - 13

400

Simplify:

2x - 4y + 5 + 3x - 9y - 3

5x - 13y + 2

500

Simplify:

3(3w - 5) - (w - 2)

8w - 13

Evaluating Expressions

100

Evaluate if x=1 and y=3

x² - y²

-8

200

Evaluate if a=5 and b=-5

IaI + IbI

10

300

Evaluate if x=0, y=1, z=2

2xy - (2z - y)

-1

400

Evaluate if x=2

3x⁵ + 7

103

500

Evaluate if a=-1, b=5, c=3

3a(b - c) + 17

11

Translating

100

Translate the statement:

"Twice a number minus one"

2n - 1

200

Translate the statement:

"the sum of a number squared and three"

n² + 3

300

Translate the statement:

"Five times the difference of a number and six is eighteen"

5(n - 6) = 18

400

Translate the statement:

"A number is less than fifty-five"

n < 55

500

Translate the statement:

"six times the sum of the product of a number and three and seven is more than forty"

6(3n + 7) = 40

Solving Equations and Inequalities

100

5x + 1 = -49

x = -10

200

x/3 - 5 = 7

x = 36

300

2 - 4b = 18

b = -4

400

12 - n > 15

n < -3

500

(x - 13)/-4 < 2

x > 5