Solving Equations

Solving Equations Level 1

100

2x - 1 = 3

x = 2

200

4(x - 1) = 15

x = 19/4

300

3x - 1 + 2x + 6 = 10 

x = 1

400

2(x / 2) = 4

x = 4

500

3x/ 2 - 7 = 2

x = 6

Literals Level 1

100

ab = c

Solve for a

a = c/b

200

x + y = z

Solve for x 

x = z - y

300

2x + m = a

solve for m

m = a - 2x

400

2x + 2a = 4

Solve for x

x = (4-2a)/2 or 2 - a

500

x³y⁴z - 1 = b   solve for z

z = (b + 1)/x³y⁴

Word Problems

100

Hannah buys mice and goldfish from the store. Goldfish cost $10 and mice cost $12. She spent a total of $54. Write an equation to represent this scenario

10x+12y=54

200

Kelly drives for Uber. She gets a set amount of $20 then an additional $.20 per mile driven. Write an equation to represent this scenario

y = .20x+20

300

Katie has two different trophies to hand out to her softball team. She has 24 gold trophies and 10 silver trophies. She spent a total of $215 on all trophies together.

24x + 10 y = 215

400

John goes to a carnival and begins with 50 tickets. Each ride will cost him 6 tickets. Hannah buys mice and goldfish from the store. Write an equation to represent this scenario

y = -6x + 50

500

Abby babysits for her neighbors. She charges a set amount of $50 then an additional $10 for every hour after 9:00 pm. How much will she make if the parents leave at 5 pm and aren't home until midnight? 

$80

Solving Equations Level 2

100

x/2 = 5/6

**Answer must be simplified**

5/3

200

3x - 2 + 5x = x - 2 + 7x

Infinite Solutions

300

4x - 1 = 4(x - 2) 

No Solution

400

1/2(2x - 6) = 1/4 (x - 8)

x = 4/3

500

1/3 x - 5(x - 2) = 6x - 1

x = 33/32

Literals Level 2 / Trivia

100

How many hours in a year? 

8760

200

ax + by = c

Solve for y

y = (c - ax) / b

300

Which state is called the volunteer state? 

Tennessee

400

1/3(xy + by) = z

Solve for x 

x = (3z - by) / y

500

A sphinx is a mythical creature with the head of a ________ and the body of a ____________

Head of a man and body of a lion