Equations Jeopardy - Algebra

Systems of Equations

100

Solve the system of equations below:

-x-6y=-3

y=-6x+18

x = 3, y=0

200

Solve the system of equations below:

3x+16y=19

10x-8y=2

x=1, y=1

300

Solve the system of equations below:

4x+2y=22

y=-2x+11

Infinite number of solutions

400

Student council is selling tickets to the next OMS talent show.  On the first day of sales, they sell 5 adult tickets and 7 student tickets for a total of $99.  On the second day of sales, they sell 8 adult tickets and 8 student tickets for a total of $120.  Find the price of each type of ticket.

$3 for an adult ticket and $12 for a student ticket

500

A box contains both dictionaries and thesauri.  There are 15 more dictionaries than there are thesauri and a total of 49 books.  How many of each type of book is in the box?

17 thesauri and 32 dictionaries

Multi-Step Equations

100

3x + 5 + 6x + 8 = 67

x=6

200

6x + 2 - 4x - 9 = 9

x=8

300

7x + 8 - 4x - 10 = 28

x=10

400

-4r-31=-5(r+6)+4

x=5

500

-(-2-8k)=2+8k

all real numbers (infinite solutions)

Writing and Solving Equations

100

Ms. Kitchen goes to the store and buys three shirts for $15 each and five pairs of jeans.  If she spends a total of $142.50, write and solve an equation to find the cost of each pair of jeans.

$19.50

200

Four times the sum of three consecutive numbers is equal to 1,428.  Write and solve an equation to find each number.

118, 119, and 120

300

The sum of a number, 1/6 of that number, 2.5 times that number, and 7 is 12.5.  Find that number.

x=1.5

400

Emily counts the triangles and parallelograms in an art piece and determines that, altogether, there are 42 triangles and parallelograms.  If there are 150 total sides, how many triangles and parallelograms are there?

24 parallelograms and 18 triangles

500

Aidien refills token machines in an arcade.  He puts twice the number of tokens in machine A as in machine B, and in machine C, he puts 3/4 what he put in machine A. The three machines took a total of 18,324 tokens.  How many did each machine take?

Machine A = 8,144, Machine B = 4,072, Machine C = 6,108

Equations with Rational Numbers

100

x/3 + 5 = 8

x=9

200

(1/3)n - 7= -2

n=5

300

-1.5y+5=9.5

y=3

400

(1/4)n + 3.25 = 5

n=7

500

3x - (1/5) = 25

x=8.4, x=8 2/5

Teacher Trivia

100

What 7th grade OMS teacher just got married?

Mr. Martin

200

What instrument did Mrs. Mason get a scholarship for playing so well?

Cello

300

Which 7th grade teacher has been teaching the longest?

Mr. Landeira

400

What state is Ms. Tsai originally from?

Michigan

500

Ms. Kitchen has three different bachelor's degrees.  Name the subject of at least one of her degrees.

Biology

Biochemistry

History