Algebra 1
Geometry
Alg & Geo
100


Solve: 3(x−2)+4x=15

What is 3?

100

Angles right next to each other that add up to 90

What are Complementary angles?

100

A square has sides measuring x+3 cm.
If its perimeter is 28 cm, find x.

What is 4?

200

Solve: x2 - x - 30

What is 6,-5?

200

Complete the sequence: 5, 20, 80,x

What is 320?

200

The base of a triangle is x - 6 meters, and its height is also x - 6 meters.
If the area of the triangle is 4 m², find the value of x.

What is 8,4?

300

Solve: 

{3x−2y=4

{2x+y=5

What is x=2,y=1?

300

Point A is at (-7,5) and point C is at (5,-1).

Find the coordinates of point B on line AC such that AB is 5 times as long as BC.


What is 3,0?

300

Find the equation of the line passing through the points A(–2,3) and B(4,–9).

What is y=−2x−1?

400

Solve: If f(x)=2x2−3x+1, find f(4)

What is 21?

400

A ladder leans against a wall, forming a 68° angle with the ground. The bottom of the ladder is 5 feet away from the wall. Find the length of the ladder.


What is approximately 13.3 feet?
400

A circle has center C(2,−1) and passes through the point (5,3).
Find the equation of the circle.

(x−2)2+(y+1)2=25

500

A small toy is launched straight upward from a platform 5 meters above the ground. Its height (in meters) after t seconds is modeled by h(t)=−3t2−7t+5. After how many seconds will the rocket return to the platform (that is, when h=0)?

x=(−7±sqrt(109))/6

500

C and D are points on the circumference of the circle. P is the origin (center) of the circle. If PC = 3x+1, PD = 7x-15, and DPC = 90 degrees, solve for the measure of arc DC.

What is 2pi?

500

Jeremy is designing a rectangular gift box. He lets the width be x cm, makes the length twice the width, and the height three times the width. He wants the total surface area of the box to be 198 cm². Solve for x.

What is 3?