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 r^{2}

200

7^{3}+^{}5^{2}

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

What % of an hour would Tina spend grading papers if she graded 100 papers in 2 hours?

50%

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