Lines/Slope
Linear Applications
Sequence and Series and Exponential
Solve
Miscellaneous
100
Find the slope of the line joining (-2,4) and (5, 13).
9/7
100
State one similarity and one difference between the graphs of y=-2x+3 and y=-2x-3
Same slope of -2; different y-intercepts of 3 and -3
100
If you start with 4 and count by 2s, you get the sequence 4, 6, 8, ..., N where 4 is the first number, 6 is the second number, 8 is the third number and so forth. Find the value of the 15th term.
32
100
3-2x/3=25
-33
100
Order least to greatest: -3.2, -4.52, -2.3, -4.57, -3
-4.57, -4.52, -3.2, -3, -2.3
200
Find the equation of the line thru (3,-4) with slope 2/3.
y=(2/3)x-6
200
You owe 28 hours of detention, but serve 2 hours every day. Create a table for the first 5 days you serve detention.
(1, 26) (2, 24) (3, 22) (4, 20) (5, 18)
200
Graph f(x)=-3(5)^x+2 (write on board)
draw on board
200
Simplify 1/(a+3) when a=1/3
3/10
200
I have 75 pens in 3 boxes. How many boxes will hold 300 pens?
12 boxes
300
Find the standard form of the following equation: y=(5/2)x-8
5x-2y=16
300
A party clown charges $50 per hour, plus a flat fee of $200. State the domain of the situation and a number not in the domain and why.
Domain: hours at the party. negatives are not in the domain because you can not have negative hours.
300
If you invest $400 at 3.2% interest, how much will you have in 12 years?
$583.74
300
3x-4(x+1)+10=0
6
300
It takes 12 students 30 minutes to wash 8 cars. How long will it take 5 students to wash 7 cars?
63 minutes
400
Find the slope and y-intercept: 2x+4y=-20
slope=-1/2 y-intercept=-5
400
State the slope and y-intercept of the following problem. Autumn has $400 in the bank. She wishes to increase her account to a total to $1,000 by depositing $50 per month from her paycheck. In how many months will it take her to reach her goal?
slope=50 y-intercept=400
400
Find the 8th terms of the geometric series: 2, 6, 18,...
4374
400
Solve and graph: 9-5(2x+1)>-28
x<3.2 and graph
400
A pitcher of ice tea is 1/6 full. After 12 cups are added, the pitcher is 2/3 full. How many cups does the pitcher hold?
24 cups
500
Write the equation of a line passing through the points (3, 4) and (5, -2).
y=-3x+13
500
Write an equation for the situation and solve. You have a hundred dollar bill ($100) and are stranded at the airport 60 miles away from home. You hail a cab and the rate is $10 plus $2 per mile. How long a cab ride can you afford (how many miles), and do you have enough money to go home?
y=2x+10; no, it will cost $130 to make it home.
500
A company purchased some new machinery and needs to figure the depreciation for tax purposes. If the machinery was purchased for $125, 000 and is estimated to depreciate at a rate of 15% per year, how much will the machinery be worth after 10 years.
$24,609.30
500
3-2|x-5|=-17
x=15 and x=-5
500
Jason has the following scores on his first four math tests: 76%, 82%, 84%, 72%. What score must he get on the fifth test to have an average test score of at least 80%
86% or higher
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