Rational Numbers (No calculator)
Proportional Relationships
Tables and Graphs
Geometry
Percentages
Two-Step Equations
100
-4 x -7
28
100
The helicopter that Andrew is flying has a propeller that spins 2400 revolutions in 4 minutes.
What is the constant of proportionality(k) in this relationship?
600 revolutions per minute.
100
Benjamin sells tickets at an amusement park.
Does the number of tickets he sells and the cost make a proportional relationship?
YES!
100
There are two squares, the original square has side lengths of 16. What are the new side lengths if the second square has a scale factor of 1/4?
4
100
On Monday, the high was 60 degrees Fahrenheit. On Tuesday, the high was 18% more. How much did the high increase from Monday to Tuesday?
10.8 degrees Farenheit
100
Solve: 3x - 4 = 11
What is 5?
200
-1/4 ÷ 6
-1/24
200
Kaydee speed reads at reads 27 pages in 9 minutes.
Write an equation for this relationship.
y = 3x
200
Joshua collected the temperature in celsius once a month for 4 months. Madison collected the amount of ice cream sold on those same days.
Does their table represent a proportional relationship?
NO!
200
The distance between Louisville and Lexington is 5 inches on a map. The scale of the map is 1 inch = 15 miles. What is the actual distance between Louisville and Lexington? (Include units)
75 miles
200
A pair of designer sneakers was purchased for $120. Since they were purchased, their price has increased by 15%. What is the new price?
$138
200
What is the value of x?
5 (15 - x) = 55
What is 4?
300
-5 - (-12)
7
300
Kylee wrote the equation y = 7x and Olivia wrote the equation y = 5.5x.
Which relationship has the greater constant of proportionality?
Kylee's: y = 7x
300
Aubrey decided to quiz the class. She asked them, "A graph represents a proportional relationship if it has what TWO characteristics?"
1.
2.
1. It is a straight line
2. It passes through the origin, (0, 0)
300
Draw and label (or explain in words) the following parts of a circle:
- Radius
- Diameter
- Circumference
- Area
- Radius: from center to outside of a circle
- Diameter: all the way across the circle through the center
- Circumference: outside of a circle
- Area: inside space of a circle
300
A student estimated that it would take 3 hours to write a book report, but it actually took her 5 hours. What is the percent error for her estimate?
40%
300
Solve:
5(x - 1) = 10
What is 3?
400
1/8 + (-2/6)
3/24 + (-8/24)
-5/24
400
Marissa writes 4 equations.
Which equations did she write that represent a proportional relationship?
A. y = 2x + 3
B. y = 4x + 0
C. y = 5.4x
D. y = 2 - x
B and C
400
Which graph is growing at a faster rate? (For an extra 100 points, what is the unit rate of the fastest line?)
Line a
(5/2)
400
Find the cirfumference of the circle.
C=dπ
π is pi
21.99
R = 3.5
D = 7
400
Here are the prices of some items and the amount of sales tax charged on each in Nevada.
Item 1- $10 Tax- $0.46
Item 2- $50 Tax- $2.30
Item 3- $5 Tax- $0.23
What is the tax rate?
4.6%
400
Solve: 1/3x + 16 = 12
What is -12?
500
Distribute and simplify
3(x+6) - 8(x - 2)
3x + 18 - 8x + 16
-5x + 34
500
Write an equation that represents this graph.
y=5x
500
April went to Winco and wrote an equation to represent the relationship between pounds of bananas and the total cost. The equation is y = 1.5x
William went to Walmart to investigate the same thing and recorded this table below:
Which relationship has the greater constant of proportionality?
April's equation has the greater constant of proportionality because 1.5 is greater than 1.25.
500
Find the area of this circle.
A=πr2
π is pi
78.539816
D= 10
R = 5
500
A music store marks up the instruments it sells by 30%.
- If the store bought a guitar for $45, what will be its store price?
- If the price tag on a trumpet says $104, how much did the store pay for it?
- If the store paid $75 for a clarinet and sold it for $100, did the store mark up the price by 30%?
- $58.50
- $80.00
- No. The store marked the price up by 33.3%. The store needed to sell it for $97.50 to have a 30% markup.
500
Solve: 1/2(x + 18) = -5
What is -28?