Math 8 Quarter 4 Review

Solving Equations

100

2-5x=22

x=-4

200

b/2-2=0

b=4

300

7a-3=3+6a

a=6

400

9n-6=5n+18

n=6

500

3y+6(y-2)=60

y=8

Angle Theorems

100

Fill in the blank.

The Triangle Sum Theorem states that the measurement of the three angles in a triangle adds up to __ degrees. 

180

200

Can a triangle have the following angle measures?

62, 58, 70?

No. The angles add up to 190 degrees.

300

If two angles of a triangle are 27 degrees and 82 degrees... what is the measurement of the missing angle?

71 degrees.

400

Fill in the blank. 

The Exterior Angle Theorem states that the measure of an exterior angle is equal to the sum of its ___ interior angles.

remote

500

True or false. 

Alternate Exterior Angles are congruent.

True.

Pythagorean Theorem

100

What is the Pythagorean Theorem formula?

a² +b²=c²

200

Is a triangle with sides 3, 4, and a hypotenuse of 5 a right triangle?

Yes

300

Is the triangle a right triangle or not?

15,24,25

No

400

What is the hypotenuse if the measurements of the two legs are 30 and 72?

78

500

What is the missing leg, when the other leg measures 36 and the hypotenuse is 39?

15

Distance Formula

100

Is this the distance formula:

D=(x₂-x₁)²+(y₂-y₁)²

What is NO. This formula is missing the square root.

200

What is the distance between (2,3) and (4,10)?

What is 7.2

300

What is the distance between (-1,-2) and (8,9)?

What is 14.2

400

What is the distance between the two points (10,5) and (12,8)?

What is 3.6

500

What is another formula used to find the distance between two points?

What is pythagorean theorem.

Area of a Circle

100

Is this the formula for area of a circle?

y=mx+b

What is no.

200

What is the area of a circle with a radius of 5 cm.

What is 78.5cm²

300

What is the area of a circle with the radius of 11m?

What is 380.1

400

True or False.

The diameter is half of the radius.

What is false. The diameter is twice the radius.

500

What is the area of a circle with a diameter of 12 mi?

What is 113.1 mi²