7th Grade AASA Review

Scaled Copies

100

A number that multiplies (or scales) the dimensions of an object to create a similar, resized image 

What is: scale factor

200

The side length of Triangle A is 3 inches, and it's corresponding side on Triangle B is 12 inches. What scale factor was used to go from Triangle A to Triangle B.

What is: A scale factor of 4.

300

The side length of Polygon C and D are scaled copies. Polygon C has a side length of 14 inches. If it were scaled by a factor of 1/2, what would be the length of the corresponding side on Polygon D?

What is: Side length of 7 inches.

400

A map has a scale of 1 cm to 8 miles. If the distance between two cities in real life is 72 miles, how many cm apart would they be on the map?

What is: 9 in

500

Square X and Square Y are scaled copies. If the area of Square Y is 64 cm² and the scale factor used to go from Y to X was 1/4, what is the AREA of Square X.

What is: A = 4 cm²

Equations and Inequalities

100

Solve for x:

11 = -2x - 5

What is: x = -8

200

What is the solution set for the inequality:

-7v + 5 > -79

v < 12

300

(n+3)/2 > -2

n> -7

400

Finish the lyrics: Inequalities are not so hard when you know to look for the _____ of the __________ next to the ______________. If it's positive, ______/______   ____   ___________. If it's negative, don't forget ___   _______    ____        ______________.

Inequalities are not so hard when you know to look for the sign of the number next to the variable. If it's positive, multiply or divide like normal. If it's negative, don't forget to change the symbol.

500

Find the solution set for b:

-5(2b+7) + b < -b - 11

What is: b > -3

Area and Volume

100

Find the area of a circle with a radius of 3 in.

9pi cubic inches

200

Find the volume of a rectangular prism with length of 2 in, width of 3 in, and height of 4 in.  

what is: 10 cubic inches

300

Find the surface area for a rectangular prism with length of 2 in, width of 3 in, and height of 4 in.

What is: 52 square inches

400

What is the volume for a square pyramid with a side length of 4 cm and a height of 9 cm

What is: 48 cm³

500

What is the surface area for a triangular prism with a triangle length of 4 cm, a triangle height of 2 cm, and a prism height of 5 cm.

What is: 20 cm³

Rational Number Operations

100

A negative divided by a negative

What is: A positive

200

-5 x 4 - 8

-28

300

(-9 + 18 -3)/2

what is: 3

400

-19+15-3

-7

500

(4-1+8/8)x5

20

Proportional Relationships

100

Describe two things that you have when you see a proportional relationship.

1. It has a constant rate of change

2. It begins at the origin

200

What is k? Define and write an equation

k= constant of proportionality

k= y/x

300

Castel bought four bunches of fennel for $9. How many bunches of fennel can Mofor buy if he has $18?

What is: 8

400

If you can buy four bulbs of elephant garlic for $8 then how many can you buy with $32?

What is 16?

500

Molly bought two heads of cabbage for $1.80. How many heads of cabbage can Willie buy if he has $28.80?

What is: 32 heads of cabbage