Algebra Jeopardy

Solving Equations

100

Solve for x. 

2(3x+2)=3x-1

x= -5/3

300

What is the solution to the equation?

4+5x-3x=5-9

x = -4

500

Solve for n. 

-10n+3(8+8n)=-6(n-4)

n = 0

Interpret Expressions

100

You bought a bike for $5 and four tires. You spent a total of $25 dollars. How much did each tire cost?

Each tire cost $5.

300

Hannah designs and sells t-shirts through an online forum. She paid $80 for general supplies. It cost her $2 to make each t-shirt. She charges $6 per shirt. Determine how many t-shirts Hannah needs to sell in order to break even. 

Hannah needs to sell 10 shirts. 

500

A 12-inch candle and an 18-inch candle are lit at the same time. The 12-inch candle burns 3/4 inches every hour. The 18-inch candle burns 3 inches every hour. What is the equation for both candles to burn to the same height?

12 - 1/3x = 18 - 3x

Scientific Notation

100

Express the number 0.00000001073 in scientific notation. 

1.073 x 10⁸

300

Express the number 621,000 in scientific notation.

6.21 x 10^-5

500

Complete the operation in scientific notation. 

4.01 x 10⁵ + 56.01 x 10⁹

5.6010401 x 10¹⁰

Number of Solutions

100

Solve the equation and determine the number of solutions.

8 (x+2) = 2x + 16

x = 0 One Solution

300

Solve the equation and determine the number of solutions. 

4(x+3)−6=4x+6

Infinite solutions 

500

Solve the equation and determine the number of solutions.

4x + 2 + x = 9 + 5x

No Solution

Unit 1

100

Determine whether the number is rational or irrational

4.77777...

rational

300

Solve the properties of interger's exponents 

(8³)⁴

8¹²

500

Simplify radical 48

4 radical 3