7th Math Review
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Proportions
100
How do you solve an equation?
Isolate the variable using inverse operations.
100
Simplify
-225 ÷ (-5 · 15)
What is 3?
100
What is the constant of proportionality formula?
K = y/x
100
-87 + 3
-84
100
What does "is" and "of" stand for in the following proportion?
200
-17+32=
15
200
It takes Leslie 40 minutes to pick 54 apples from a tree. If it takes Leslie the same amount of time to pick apples from each tree in an orchard, how would you describe her unit rate?
Leslie picks 1.35 apples every minute
200
What is the area of a circle formula?
A = pi r2
200
73+52
368
200
How do you know you need to use a proportion?
1. When you are looking for the %
2. When your word problem gives you a whole, and a % and you need to find the part.
3. Anytime the word problem wants you to find a measurement value when given a equivalency.
300
(-47)+(86)=
39
300
A farmer's rectangular field has an area of 156 cm². The field has a width of 6 cm. What is the length of the field?
What is 26 cm?
300
What is formula for area of a triangle?
A= 1/2 bh
300
Jaden is standing on the 60 yard line of a football field and Jordan is standing on the 30 yard line. They begin walking toward each other at the same speed. Where on the field will they meet?
The 45 yard line
300
How do you change the given % for the following proportion:
You just drop the % symbol and write it where the % symbol is located on the proportion.
400
A map of a farm has a scale of 1 inch = 6 miles. The dimensions of the map are 7 inches by 12.5 inches. What is the actual area of the farm?
What is 3,150 square miles?
400
Molly picks 3/4 pound of grapes in 2/8 hour. How many pounds of grapes is Molly picking per hour?
What are 3 pounds per hour?
400
What is the formula for the circumference of a circle?
C = Pi Multiplied by diameter
400
What do you look for when you are solving for an inequality?
Any reason to flip the sign:
1. Multiplying by a negative number OR
2. Dividing by a negative number
ONLY!!
400
If Tina graded 100 papers in 1.5 hours, how many papers could she grade in 4.5 hours?
300 papers
500
A pair of shoes is 110.00. They are on sale for 20% off. If you have to pay 7% sales tax after the discount. What is the total cost of the shoes?
$94.16
500
Regis buys a wallet for $17.35, a T-shirt for $10.05, and a belt for $7.50, There is a sales tax of 9.5% on each item. What is the total cost Regis will pay for all of the items?
What is $38.22?
500
What is the formula for the volume of a cylinder?
V = Pi · r² · h
500
2 X (-4) + 3
-5
500
Sam spends 25% of an hour mowing his 500 acre plot. How much of the 500 acres did he mow in this time period? How much is left?
125 acres with 375 acres left