Proportional Relationships
Bob can run one mile in 20 minutes. How long would it take him to run 5 miles?
1 hour 40 minutes (100 minutes)
What is 18% of 125?
What is 22.5
-3 + (-8)
-11
6n - 1 - 8n + 9
-2n + 8
Solve
-7 = x + 4
x = -11
2g < 60
g < 30
Draw vertical angles
Two angles across from each other
Brooke bought 8 bottles of tea for $13.52. What is the cost per bottle?
$1.69
How much is an $18 breakfast with a 7% tax?
$19.26
-22 + (-10) + 15
-17
Use the distributive property
9(3x +27)
27x + 243
Solve
y/-3 = -8
y = 24
34 + 2g >= 61
g>=13.5
Draw a set of supplementary angles
Two angles that add up to 180 degrees
Lincoln bought 3 bottles of a drink for $4.50. Write an equation relating the total cost to the number of drinks he bought.
y=1.5x
A shirt cost $24 and is 15% off today. How much does the shirt cost?
$20.40
-5(6) + (-9)
-39
Write in simplest form
10xy - 15y
5y(2x -3)
Solve
4(x+8) = 44
Gabe went to the park with $50 to spend. His ticket was $27.50. He wants to buy snacks too. Write an inequality to represent the situation.
x + 27.50 <= 50
If one vertical angle is 4x + 6 and the other is 80, what is x?
x = 18.5
Doug paddled 5 miles in 2/3 hour. What is his average speed in miles per hour?
7.5 miles per hour.
Find the percent decrease
136 days to 85 days
37.5%
Ben has -1500 points. He loses 750 more. What is his score?
-2,250
Solve
1/4 x -7 - 3/4 x -5
-1/2 x -2
Solve
4/5 (x+7) = 20
x = 18
Linda has 2 cats. Together the weight of the cats is at most 10 pounds. The smaller cat weighs 4.5 pounds. Write an inequality to show the weight.
x + 4.5 <= 10
Draw a set of complementary angles.
Two angles that add up to 90 degrees
Is 1:4 and 2:8 proportional to each other?
Yes
The average cost of gas in the year 2000 was $1.25 per gallon. Suppose you purchase gas for $3.30 per gallon now. What is the percent of increase in the cost?
164%
3(-5) + 12 - (-4)
1
Write in simplest form
20mn + 16n
4n(5m+4)
Solve
x = 1/10
14 - 3x < 20
x > -2