Circles
Equivalent Ratios
Proportional Relationships
Proportional Equations
Integer Operations
100
A circle has a diameter of 13 cm. What is its radius? Don't forget the units!
6.5 cm
100
What is the value of x to make equivalent ratios:
4/9=x/27
x=12
100
Is this a proportional relationship? Why or why not?
No, the graph does not start at the origin.
100
Identify the constant of proportionality in the given equation:
y=3/2x
k=3/2
100
4-(-2)=
6
200
Circumference or area? The distance around a circular track. Also give the formula for whichever you think applies.
Circumference.
C=pid
200
Below are similar triangles, what is the length of x? Don't forget the units!
10 cm
200
Identify the constant of proportionality in the graph:
k=5
200
The following table shows a proportional relationship between the amount charged by a housecleaning company ($) and the amount of time worked (hours). Write the proportional equation in standard form. Write the proportional equation using h to represent time in hours and d to represent amount charged by the housecleaning company.
d=45h
200
Is each answer resulting in a positive number or negative number?:
-3-9=
-3-(-9)=
-3+(-9)=
-3+9=
-3-9=negative
-3-(-9)=positive
-3+(-9)=negative
-3+9=positive
300
Find the Area of the circle. Keep your answer in terms of π. Don't forget the units!
81 π square inches
300
If 10 pencils cost $20, how much would 25 pencils cost?
$50
300
Does this table represent a proportional relationship? Prove your answer by drawing a graph.
No, the graph does not start at the origin.
300
There is a proportional relationship between Miguel's savings and the number of months he saves for. Write the proportional equation using x to represent time in months and y to represent amount of Miguel's savings.
y=15x
300
Find the missing value:
x-3=8
n+9=3
a/4=-5
-3p=-21
x=11
n=-6
a=-20
p=7
400
Explain how you would find the area of the region in green:
Area of Circle - Area of Square = Area of region in green
400
Are these ratios equivalent?
3/7, 12/21
They are not equivalent. 12/21 simplifies to 4/7 which is not equal to 3/7
400
Does this equation represent a proportional equation? Why or why not?
y=x+1
No, because a proportional equation will be in the form of
y=kx
400
Which graph represents the proportional equation:
y=1/4x
The graph on the right.
400
Describe how you would solve this two-step equation. Then solve for x:
4x+11=31
Step 1: Subtract 11 from both sides.
Step 2: Divide 4 from both sides.
x=5
500
Find the Area and Circumference of the circle below. Leaver you answer in terms of π. Don't forget to include units!
Circumference: 6π meters
Area: 9π square meters
500
Complete the Ratio Table:
15/30=3/6=9/18=10/20
500
Which of the two tables represent a proportional relationship? Prove your answer.
Table on the left.
6/2=12/4=18/6
500
The table shows John's wages based on the number of hours he worked. It is a proportional relationship. What is the proportional equation to show this relationship? Use h for hours and d for dollars.
d=9h
500
Describe how you would solve this two-step equation. Then solve for x:
x/3-2=-8
Step 1: Add 2 to both sides.
Step 2: Multiply 3 to both sides.
x=-18