If x=3, what does y equal in the following equation, y=4x+2
y=4(3)+2=12+2
y=14
100
Is the following graph increasing or decreasing?
y=-3x+4
Decreasing
100
(x+2)(3x+4)
3x^2+10x+8
100
Umaima ate 5 slices of cake. Gabriela ate 2 slices.
If Umaima ate 5/12 of the cake, what fraction of the cake is remaining?
5/12
200
Explain one way in which you could find the slope of a line.
Use the equation m=y2-y1/x2-x1, use rise/run, etc.
200
y = 3x – 7
6y – x = 9
y=2 x=3
200
Create an equation for a decreasing quadratic graph.
200
(3x-7)(8x^2+5x-6)
24x^3-41x^2-53x+42
200
What is the solution to |2x+9|=12
x=-21/2, 3/2
300
What is the slope and y-intercept of this line...y=3/2x-6
slope=3/2 y-intercept=-6
300
x – y = 9
x + y = –3
y=-6 x=3
300
How would the following equation change if I shifted up 5 units? y=4/5x-2
y=4/5x+3
300
Factor: x^2+18x+81
(x+9)^2
300
Todd would like to plant grass in his backyard. His backyard is a rectangle that measures 12 yd by 6 yd. In the middle of his backyard is a square swimming pool that has a side of 3 yd. What is the area to be planted with grass?
63 square yards
400
Find the slope of a line that passes through the points (3,2) and (-4,8)
slope=(8-2)/(-4-3)=6/-7
400
A test has twenty questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple choice questions worth 11 points each. How many multiple choice questions are on the test?
x=15 y=5
400
How does a quadratic graph change if a negative is placed in front of the slope? ex. y=x^2+2 vs. y=-x^2+2
Flips down over a horizontal axis.
400
2x^2 + x– 6
(x+2)(2x-3)
400
Monroe started saving money. Right now he has $200 and every month he deposits $15. Harry, on the other hand, has no desire to save money. He currently has $300 and spends $10 each month. When will Monroe and Harry have the same amount of money?
The 5th month
500
Write the equation of the line that passes through the points (8,6) and (-5,-4).
Extra points if you write the equation in both slope-intercept form and standard form.
Margie is responsible for buying a week's supply of food and medication for the dogs and cats at a local shelter. The food and medication for each dog costs twice as much as those supplies for a cat. She needs to feed 164 cats and 24 dogs. Her budget is $4240. How much can Margie spend on each dog for food and medication?
$40 per dog, $20 per cat
500
Create a quadratic equation that shifts to the left 4 and shifts up 5.
y=(x+4)^2+5
500
4x^2-19x+12
(4x-3)(x-4)
500
Anton joined a golf club two years ago. He pays an annual membership fee of $895 and a greens fee of $30
each time he plays a game of golf. Last year he paid $2,065 as a total golfing fee. For how many games did he pay a greens fee?