Definitions
Coefficient
The number that multiplies a variable
The constant of this expression: 3x + 4f - 8
8
FOIL: (z - 4)(z - 8)
z2 - 12z + 32
Joseph has 4 baskets of apples, each basket can fit x number of apples. There is already one apple in each basket. If he has 24 apples in total, write an equation to solve for the number of additional apples each basket can fit?
4x + 4 = 24
For 100 extra points solve the equation for x!
What is a string of terms that equals a number or another expression?
An equation
Simplify: 3w - 2 + 7r - z + 5r - 9w
-6w + 12r - z - 2
Factor: a2 - 2a - 15
(a - 5)(a + 3)
Abbie loves pizza. She orders a 16 slice pizza pie for herself and 4 friends. If she sets aside 4 slices for herself, how many slices can each of her friends have to share the rest of the pizza equally?
3 slices
What is the method used to expand a product of two binomials?
FOIL
For 100 extra points what does each letter stand for?
Solve: 13q + 7 = 5q
-1
A quadratic equation (in expanded form) with the roots n=3 and n=-2
x2 - x - 6
Sasha is collecting rainwater, at the start of the heavy rain pour she had already collected 3 inches . Every hour (h) the bucket fills two inches. What is the total (T) inches of water in the bucket in terms of the number of hours that have passed?
T = 2h + 3
Factoring
The process of "un-FOILing" a quadratic equation into its two binomials
What is t in terms of p: 8t - 24p + 6 = -10
t = 3p - 2
Zeros of: (d + 7)(d + 7) = 4
-9 and -5
A video store offers two yearly pricing plans:
A. $10.00 charge plus $2.50 for each movie rented.
B. $4.00 charge (total) for the first 4 movies rented plus $6.00 per movie.
Which deal is better if you want to rent 8 movies?
Plan B is the better deal!
Quadratic Equations
An equation which is a product of two binomials, that equals a number
Evaluate x2 + 3(9 - 2x) - 8x
when x = 4
-13
Zeros of: 2x2 + 5x + 2 = 0
-1/2 and -2
Ron is trying to save $200 for an upcoming trip in 5 months (~20 weeks). He already has $56 saved. If he only saves $9 a week, will he be able to save $200 before he leaves for his trip? If yes how many weeks will it actually take him?
Yes!
16 weeks