Pythagorean Theorem
Angle Pair Properties
Linear Equations
Exponential Growth and Decay
Expressions
100
Do the following lengths form a right triangle?
Yes. 9+16=25
100
Find the value of x and what angle pair are they?
Alternate interior angles 7x-12=114 x=18 degrees
100
Solve the equation 2x + 5=11
x=3
100
What is the growth factor in the equation y=64x1.5^x
1.5
100
Find an equivalent expression for 2x + 10x
12x
200
Find each missing length
6.46 units
200
Ronald and his goat
A=135 degrees B=120 degrees C=60 degrees D=45 degrees
200
Solve the equation and show your work. 100 + 3x= 9x - 20
x=20
200
y=1000(1.2^x) y=2(2^x) In which equation does the y value increase at a faster rate? How do you know?
y=2(2^x) because the growth factor is 2 instead of 1.2
200
Evaluate the expression for the given value of x. 45-2x when x=6
33
300
Jim wants to paint a ceiling. His ceiling is 12 ft from the floor and his ladder is 21 ft long. How far away should the bottom of the ladder be from the bottom of the wall to reach the ceiling?
17.23 ft
300
Find all the missing angles
a=35 degrees b=85 degrees c=60 degrees
300
Which equation is not equivalent to W=80c-640 A)W=8(-80+10c) B) W=8(10c) - 140 - 500 C) W=10(8c-640) D) W=70c + 10c - 240 - 400
C
300
The equation y=1000(2^x) represents the growth pattern for a population of ants, where x is the number of days. 1. What was the initial population? 2. What is the growth factor? 3. When will the population be greater than 1,000,000,000?
1. 1000 ants 2. GF is 2 3. After 20 days
300
Simplify the following expression: 2(x-4)+x
3x - 8
400
An isosceles triangle has a base length of 13 in. and two congruent side lengths of 11 in. What is the area of this triangle?
57.66 sq in
400
Solve for w, x, y, and z
w=67 degrees x=72 degrees y=52 degrees z=72 degrees
400
Student Council is organizing a bake sale to raise money. They make the following estimate for expenses and income. Expense of one-time booth rental is $50 Expense of $1.50 per cupcake Income of $5 per cupcake Write an equation for the profit of selling n cupcakes.
P=5n-(50+1.50n)
400
You borrowed $1500 from the bank. The interest is compounded monthly by 5%. 1. Write an equation to show the total amount, T, owed after n years. 2. How much would you owe after 2 years if you did not make any payments?
1. T=1500*(1.05^n) 2. $4837.65
400
Simplify the expression 5(x+10) + x
6x + 50
500
You just finished a long race. You know the track went 12 miles west, and then 10 miles north from the starting line. You then found out that you could have cut through the alleys at a diagonal, heading northwest to get to the finish line. If you had run at a pace of 10 miles an hour, how much time would you have saved if you had taken the short cut?
0.637 hrs or 38.27 minutes
500
Solve for a
a=105 degrees
500
A travel agent made arrangements for a school team to travel to a tournament. The agent wrote the following equation for profit she expected to make: P=5(100+4n)-45n, where n is the number of people traveling. 1. Write the simplified form for this equation. 2. How many travelers are required for the agent profit to be $0?
P=500-25n n=20
500
You bought a car for $30,000. After the first year, the price had depreciated to $27,000. 1. What is the exponential equation that describes this depreciation, D, in n years? 2. At what year will the car be worth less than $1000?
1. D=30,000(0.9^n) 2. 33 years
500
Simplify the following expression 3(10+4x) + 5(2x-5)
22x + 5
M
e
n
u