Mirror Mirror
Plot Twist
Chance of Chaos
Find X Energy
ALGEBRA TOOLBOX
100

Don placed a ladder against the side of his house as shown in the diagram below. Which equation could be used to find the distance, x, from the foot of the ladder to the base of the house?

ladder= 15ft

wall= 9ft

x=?

12ft

100

3x+y= -8

-4x-y= 6

(2, -14)

100
Write 6.12 x 10 to the second power in standard notation
612
100

A triangle has the legs: 8 cm and x cm. The longest side is 17 cm. Solve for x.

15 cm

100

What is another name for the longest side of a right triangle? How can you find it?

Hypotenuse, and you draw an arrow from the right angle.

200

A bag has 3 red, 2 blue, and 5 green marbles. What is P(red)?

3/10

200

A right triangle has legs 6 and 8. What is the hypotenuse?

10

200
Write 0.00852 in scientific notation
8.52 x 10 to the negative third power
200

Solve for the coordinates: 

2x + 3y = 9

y = x – 2

(3,1)

200

Xavier wants to buy a new TV. Before he goes to the store, he measures his TV and notes that it is 56 inches long and 33 inches wide. When Xavier gets to the store, he realizes that TVs are measured by their diagonal length! What is the diagonal length of his current TV?

c= 65 inches

300
Combine like terms: 4(y + 9) - 3y
y - 36
300

A figure is enlarged by a scale factor of 3. What transformation is this?

Dilation

300
Write 12,000,000 in scientific notation
1.2 x 10 to the seventh power
300
Solve for x: x/4 + 7 = 3
x = -16
300
A 12 oz container of soda has 180 calories. How many calories are in one ounce of the soda?
15
400
Combine like terms and solve for x: x + 3x = 48
x = 12
400
For y = 3x, when x =4, what is the ordered pair?
(4, 12)
400
The population of Taiwan is 2.211325 x 10 to the seventh power. Write this in standard notaion.
22,113,250
400

x+y=10
x=6x

(6,4)

400

A bag of flour weighs 64 ounces. How many pounds does the bag weigh?

4 pounds

500

Solve this expression: 14a + 4b + 7

Can't be solved; not an equation, and already in simplest terms

500

Solve the system of equations below. Show your work and state the solution as an ordered pair:
3x+2y=16
5x−2y=24

(5, -2)

500
The mass of the earth is 5,980,000,000,000,000,000,000,000 kg. Write this in scientific notation.
5.98 x 10 to the twenty-fourth power
500
Write an equation to represent the change (x) in the population of Memphis between 1960 (550,000) and 1990 (725,000)
x = 725,000 - 550,000
500
On a map, the distance between Charleston and Mt. Pleasant is 3.2 cm. The scale is 1 cm = 25 mi. What is the actual distance between the two towns?
80 mi