Algebraic Concepts

PEMDAS (ORDERS OF OPERATIONS)

100

What does the E stand for in PEMDAS?

Exponents 

200

What do we need to solve first?

2 - 14 x 5 + (4-8)

The Parentheses (4-8)

300

Solve: 

12 x 4 - 4 + 3 - 10

37

400

Solve:

4 + (9x3) + 4²  x 6 - 7

120

500

Solve:

2(5+7) + 12 / 2 + 4³ - 40

54

Solving For Variables

100

Solve For X

2x + 9 = 27

x = 9

200

Solve for Y:

5y - 10 = 45

Y = 11

300

Solve for X:

3x - x + 10 = 30

X = 10

400

Solve for Y:

2y + 2y + 17 - 5 = 24

Y = 3

500

Solve for X= 

4 - X + 5x - 15 + 6 = 31

X = 9

Evaluating Expressions

100

Evaluate: R = 12

R + 4

12 + 4 

200

Evaluate: X= 3

X + 2x - 15

3 + 2(3) - 15

300

Evaluate: Z= 4; Y= 7

4z + 2y + 12 - Z 

4(4) + 2(7) + 12 - 4

400

Evaluate: T=6 ; K=8

9(t-2) + (2k - 18) + t + 4k

9(6-2) + (2(8) - 18) + 6 + 4(8)

500

Evaluate: Y= 2; X=7; A=4

Y(Y-A) - 14y + 10x + (X-A) + 5A

2(2-4) - 14(2) + 10(7) + (7-4) + 5(4) 

Simplifying Equations

100

Simplify: 

5x + 4x

9x

200

Simplify:

3x + 7x + 2y + 4y + 2x

12x + 6y

300

Simplify:

2y + 8z - 4z - 5y 

4z - 3y

400

Simplify:

6c + d - 2c + 3x - 4d + 7x

4c + 10x - 3d

500

Simplify:

-7s - s + 2 - 9v + 4s + 11 + 2v + 6z

13 - 4s - 7v + 6z

Random

100

If you are traveling 60 miles per hour, how many miles would you travel in 1 hour?

60 miles

200

What is the largest social media platform?

Facebook

300

Who created Mickey Mouse?

Walt Disney

400

What year did La Academia start?

1998

500

How many $5 bills would it take to buy a $20 helmet, a $50 bike, & a $5 horn?

15