Ms. Zhang's Algebra Critical Skills Challenge

Percent, Ratio, Proportion

100

The football team drank 80% of the water given to them. They drank 8 gallons of water. What was the original amount of water?

What is 10 gallons

200

Cliff ran 6 miles in 39 minutes. At this rate, how much time would it take for Cliff to run one mile?

What is 6.5 minutes

(6 minutes and 30 seconds)

300

DOUBLE POINTS

A machine made 13 pencils in 3 1⁄4 minutes. How many pencils would the machine have made after 5 minutes?

What is 20

400

A container with 2 1⁄3 liters of weed killer can spray 4/5 of a lawn. How many liters would it take to spray 1 entire lawn? Express the answer in mixed number.

What is 2 11⁄12

500

Suppose x and y are inversely proportional, while y and z are directly proportional. When x = 6, we have y = 6 and z = 30. What is the value of x when z = 5?

What is 36

Exponents

100

Evaluate (-5)³

What is -125

200

TRIPLE POINTS

Evaluate 5^-3

What is 1/125

300

Evaluate (-5)^-3

What is a -1/125

400

Write the product of 5 x 10^-5 and 6 x 10⁶ into scientific notation

What is 3x 10²

500

Convert .000092 into scientific notation

What is 9.2 x 10^-5

Linear Functions and Systems

100

Without graphing is (-4,0) on the graph of y = -2x + 4

What is no!!!

200

The y-coordinate of any point where a graph intersects the y-axis.

What is y-intercept

300

Write the equation of each line in slope-intercept form: slope = 1/3, y-intercept = 6

What is y = 1/3x + 6

400

Solve by substitution: 4y - 5x = 9 

                                 x - 4y = 11

What is (-5,-4)

500

Solve by elimination with multiplication: 

2x + y = 3 

-x + 3y = -12

What is (3,-3)

Law of Exponents/Radicals

100

TRIPLE Points

Simplify Simplify x⁵ * x⁴

What is x⁹

200

Simplify (x⁵)⁴

What is x²⁰

300

Simplify x⁵ ÷  x⁴

What is x

400

Simplify (x³)^-2 ÷ x⁴ ⋅  x⁷             

What is x^-3

500

Simplify  x¹¹ ⋅ x^-6 ÷ (x^-5)⁴

What is x²⁵

Mystery

100

XV in Roman Numerals

What is 15?

200

i²⁰²⁰

What is 1?

300

Tau

What is Pi * 2 or 6.28...?

400

Phi φ

What is Golden Ratio or 1.618...

500

What does this say:

sqrt(-1)   2³   Σ     π

What is "I ate some pie."