Proportional Relationships
Linear Equations and Systems
Functions and Volume
Transformations and Similarity
Data and Pythagorean Theorem
100
A recipe uses 2 cups of flour for every 3 cups of sugar. If you have 6 cups of flour, how many cups of sugar do you need?
9 cups of sugar
100
Solve:
x + 5 = 12
x=7
100
A function rule is "multiply by 3." If the input is 5, what is the output?
15
100
When a figure is rotated 90 degrees, does its shape change? Why?
No because a rotation is a rigid transformation
100
In a scatter plot, what does a positive association mean?
As x increases, y increases
200
24
200
Solve:
3 x − 4 = 17
x=7
200
If f(x)=2x+1 find f(4).
9
200
A figure is dilated by a scale factor of 3. If the original figure has a side length of 2 cm, what is the length of that side in the dilated image?
6 cm
200
The sides of a right triangle are 9, 12, and 15. Verify this is a right triangle using the Pythagorean theorem.
9^2+12^2=15^2
300
A car travels 120 miles in 2 hours at a constant speed. What is the constant of proportionality (miles per hour)?
60 miles per hour
300
Find the slope of the line passing through the points (0,2) and (4,10).
2
300
A cylinder has a diameter 10 inches and height of 4, what is the volume of the cylinder? Leave your answer in terms of
pi
100
pi
300
If the perimeter of triangle A is 10 cm, what is the perimeter of triangle B?
20 cm
300
What type of association does this scatter plot show?
Positive Association
400
The equation
y= 5/2x
represents a proportional relationship. If x=10, what is y?
25
400
What is the y-intercept of this line?
3
400
Write the equation for this function.
y=3x
400
A point at (3,4) is reflected across the x-axis. What are the coordinates of the reflected point?
(3,-4)
400
Find the exact length of the hypotenuse of a right triangle with legs of length 7 and 8.
sqrt113
500
Two bugs start at the same point. Bug A travels at 2 cm/sec and Bug B travels at 3.5 cm/sec. After 8 seconds, how much farther has Bug B traveled than Bug A?
12 cm
500
Solve the system of equations:
y=2x and y = − x + 6
(2,4)
500
V=1/3 pir^2h
314cm3
500
Two rectangles are congruent. What must be true about their side lengths?
They have the same dimensions- all corresponding sides are equal
500
A square has an area of 100 square units. What is the exact length of its diagonal?
sqrt200