U1 Jeopardy

Equations

100

4x = 20

x = 5

200

x / 5 = 10

x = 50

300

2x + 9 = 45

x = 18

400

5(x + 7) = 60

x = 5

500

-15 + 4(x + 11) - 24 = 61

x = 14

Variables on Both Sides

100

3x + 2 = 2x - 2

x = -4

200

8x + 3 = 5x + 39

x = 12

300

3(x + 2) = 4(x + 1)

x = 2

400

-180 + 2(x - 10) + 18x = 5(x - 1)

x = 13

500

2x - (8x - 3) = -3(5 + x)

x = 6

How Many Solutions?

100

How many solutions?

1 = 1

Infinite

200

How many solutions? (If one, what is the solution?)

45 = 5(3x - 6)

One

x = 5

300

How many solutions? (If one, what is the solution?)

6x - 3 + 2x = 8x + 7 - 10

Infinite

-3 = -3

400

How many solutions? (If one, what is the solution?)

-0.2x + 1.4x - 3 = x + 1.2x + 0.6

x = -3.6

500

Write a number in the blanks to create an equation that has infinite solutions.

5(2x + 9) - 3 = __x + __

10x + 42

Exponents

100

x² = 100

x = 10 and x = -10

200

x³ + 8 = 72

x = 8

300

-13 + 8x³ = -77

x = -2

400

80 - x² = x² - 208

x = 12 and x = -12

500

2(3x² + 2) - 3x² = 4x²​​​​

x = 2 and x = -2

Simplifying Roots

100

Simplify √40.

2√10

200

Simplify ∛375.

5∛3

300

x³ + 80 = 766

x = 7∛2

400

2(-x² - 12.5) = -281

x = 8√2 and x = -8√2

500

A cube has a volume of 448 in³.

What is the side length of the cube?

4∛7 in