SY25-26 Algebra Basics

The Real Number System

100

14/2

What is Natural Numbers?

200

Pi

What is an irrational number?

300

3/8

What is a rational number?

400

-3-9(3)²

What is Integers?

500

0

What is Whole Numbers?

Properties of Real Numbers

100

-28=-28

What is the Reflexive Property 

200

(x+2)+y= (2+x)+y

What is Commutative Property of Addition?

300

If 7+5=12 

and

12=4(3), then 7+5=4(3)

What is the Transitive Property?

400

1765(1)=1765

What is the Identity Property of Multiplication?

500

10 * 1/10 =1

What is the Inverse Property of Multiplication?

Simplifying Expressions

100

What is n + 4 - 9 - 5n?

-4n - 5

200

What is 7x - 4y - 8 - 3x - 8y + 12?

4x - 12y + 4

300

What is 18 - 2(4x + 7) + 5x?

-3x + 4

400

What is 9(x - 3) - (x + 2)?

8x - 29

500

What is 2x - 6 + x + 8 + 3x + 1?

6x + 3

Evaluating Expressions

100

What is l-21l + l5l?

26

200

What is l a - 4b l? if a = 7 and b = 2

1

300

What is [(-5 + 1) / 2] ³ - l-7l?

-15

400

What is 3x³ - 8y²? If x = 2 and y = -3

-48

500

What is w² + 2xy? If x = -3, w = -2, and y =1

-2

Translating

100

What is "the product of a number and 7, increased by three"?

7x + 3

200

What is "one less than twice a number"?

2x - 1

300

What is "four times the difference of a number and nine is -30"?

4(x - 9) = -30

400

What is "five more than the quotient of a number and eight is 42"?

(x/8) + 5 = 42

500

What is "the product of a number and 4, decreased by 2 is 18"?

4x - 2 = 18

Solving Equations and Inequalities

100

Identify the first step to solve the equation below:

9 – 7x = 16

Subtract 9

200

Solve the following equation:

(x)/(-4)+8=3

x = 20

300

Solve the following equation:

(2)/(5)x-3=-17

x=-35

400

Solve and graph the solution to the following inequality:

1 - 4x ≤ −35

x ≥ 9

500

Solve and graph the inequality below:

(x-17)/(3)<-3

x<8