NJSLA MATH REVIEW

Expressions

100

Simplify: 

3(2x + 5)

6x + 15

200

Simplify: 

-(-b + 10)

b - 10

300

Simplify: 

3b + 4m - 5b - 2m + 6

-2b + 2m + 6

400

Simplify: 

3 - 5(r - 2) + 7r

3 - 5r + 10 + 7r

Equations

100

-2x = 50

-25

200

-7x + 3 = 24

-3

300

-12 = 3x + 6x - 3

-1

400

-(2 + 4b) = 5b - 3b + 6

-4/3

Slope

100

What is the slope? 

y = 1/3x - 6

1/3

200

What is the slope between the two points?

(2, -3) and (-4, -6)

1/2

300

What is the slope of the line that passes through these two points: 

(3, -9) and (3, -5)

Undefined

400

What is the slope of a horizontal line?

0

Pythagorean Theorem

100

What is the side directly across the right angle in a right triangle called?

Hypotenuse

200

If a right triangle has a hypotenuse of 10 inches and a leg of 8 inches, what is the measure of the other leg? Round to the nearest tenth, if necessary. 

6 inches

300

A ladder is leaned up against a building to reach a window that is 8 feet high. The ladder has been placed 11 feet away from the building. What is the measure of the ladder? Round to the nearest tenth, if necessary. 

13.6 feet

400

A football field is 100 yards long by 53 yards wide. If a player runs diagonally from one corner of the field to the other, what is the distance? Round to the nearest hundredth, if necessary.

113.18 yards

Volume

100

What is the volume of a cone with a radius of 5 inches and a height of 10 inches? Round to the nearest tenth, if necessary. 

261.8 cubic inches

200

What is the volume of a cylinder with a radius of 8 feet and a height of 12 feet? Round to the nearest hundredth, if necessary. 

2412.74

300

What is the volume of a hemisphere with a radius of 3 inches? Round to the nearest hundredth, if necessary. 

56.55

400

A cylinder has a volume of 270 cubic meters. A cone has the same radius and same height as the cylinder. What is the volume of the cone? Round to the nearest whole number, if necessary. 

90 cubic meters