Slopes
Systems
Circles
Right Triangles
Mixed Review
100

Find the slope of the line passing through (2,3) and (4,7).

2

100

What is the solution to a system of equations?

The point where both equations intersect.

100

What is the formula for circumphrence?

C=2πr

100

State the Pythagorean Theorem.

a2+b2=c2

100

Find the slope of the line passing through

(3,5) and (7,13)

2

200

What does the slppe of 0 mean?

A horizontal line

200
Solve

y = x+2

y = 6

(4,6)

200

Find the circumference of a circle with radius 6.

12π

200

Find the hypotenuse.

Legs: 3,4

5

200

A circle has a radius of 9.

Find:

  • Diameter
  • Circumference
  • Area

Diameter = 18

Circumference = 18π

Area = 81π

300

Write the equation of a line with a slope of 3 and y-intercept -2.

y = 3x-2

300

Solve

x+y = 10

x-y = 2

(6,4)

300

Find the area of a circle with radius 5.

25π

300

Find the missing leg.

Hypotenuse =13

Leg=5

12

300

A right triangle has legs of 9 and 12.

Find:

  • Hypotenuse
  • sin⁡θ
  • cos⁡θ

(where θ\thetaθ is opposite the side of length 9)

Hypotenuse = 15

sin⁡θ = 3/5

cos⁡θ = 4/5

400

Find the equation through (2,5) and (6,13).

y = 2x+1

400

Which method would you use?

2x+y=7

4x-y=5

Elimination

400

A circle has diameter 20.

Find the radius and circumference.

Radius = 10

Circumference = 20π 

400

Find sin⁡θ

Opp=8

Hyp=17

8/17

400

Solve the system:

x+y=12

2x-2y=4

(7,5)

500

Are the following lines parallel, perpindicular, or neither?

y = 2x+1

y = -1/2x+5

Perpendicular

500

A movie ticket costs $12 for adults and $8 for students. Twenty tickets are sold for $200. How many adult tickets were sold?

10

500

A circular garden has area 64π, find the radius.

8

500

Find tanθ

Adj=8

Opp=15

15/8

500

A circular park has a diameter of 24 feet.

A sidewalk goes straight across the center.

Find:

  • Radius
  • Circumference
  • Area

Radius = 12

Circumference = 24π

Area = 144π 

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