Solving Equations

Units 1-4

100

Combine Like terms

-(2x-5y)+3y-x+2x

-x+8y

200

state if sqrt20   is rational or irrational, explain

x= -12

300

Simplify

(2x^3y^2)^4

16x^12y^8

400

Subtract  2x^2+3x-6 from 

3x^2-3+5x

x^2+2x+3

500

Challenge Problem: 

Jack and Jill are going swimming at a pool that is one mile from their house. They leave home simultaneously. Jill rides her bicycle to the pool at a constant speed of 10 miles per hour. Jack walks to the pool at a constant speed of 4 miles per hour. How many minutes before Jack does Jill arrive?

9 minutes 

Two-Step Equations

100

6x – 13 = 11

x= 4

200

3x + 5 = 14

x= 3

300

x/2 + 13 =-8

x= -42

400

-1/3 x + 5 =10

x= -15

500

x/3 - 6 = -3

x= 9

Multi-Step Equations

100

-(x + 3)+5 = 1

x = 1

200

4 + 5(x-2) = 19

x = 5

300

2/3(6-15x)=494

x = -49

400

41 = 6(3a + 0.5) + 2

a=2

500

154 = 0.25(4k - 8)-2

k = 158

MoreEquations

100

Solving Equations

x - 2 = 6

x = 8

200

Solving Equations

-5p + 1 = 6

p = -1

300

Solving Equations

2n+10 = 4

n = -3

400

Solving Equations

5(m-3) = 4

m = 19/5

or m=3.8

500

Solving Equations

-3(𝑥 − 9) = −3

x = 10

Random Trivia

100

Which state's capital has the least population?

Vermont (Montpelier)

200

In what year was Bambi released?

1942

300

What language do we get the word Algebra from?

Arabic

400

What's the worlds largest desert?

Antarctica

500

What is the rule to determine if a year is a leap year? was 2000 a leap year?

 The rule is that a year is a leap year if it is divisible by 4, unless it's divisible by 100 but not by 400.

No 2000 was not a leap year because it is divisible by 400