Linear/Quadratic Functions
Point to the quadratic formula on your MCAP formula sheet.
It's in the middle, on the left.
The GCF of 49x, 77x^2, and 42x^3 is...?
7x
Solve the system of linear equations:
y = 3x + 1
x = 7
(7, 22)
Point to the compound interest formula on your MCAP formula sheet.
It's in the middle, closer to the bottom.
Subtract (4x^2 - x + 6) from (3x^2 + 5x - 8).
-x^2 + 6x - 14
List the steps to run linear/quadratic regression on the Ti-84 calculator.
Stat, edit, enter points, stat, calc, LinReg/Quadreg
Factor the GCF out of the following expression:
8xy + 24x^2y +16xy^2
8xy(1 + 3x + 2y)
Solve the system of linear equations:
y = 2x - 1
y = 6x + 5
(-1.5, -4)
Write an exponential function that has an initial value of 3 and a constant ratio of 7.
f(x) = 3(7)^x
The graph of s(x) = x^2 + 6x + 9 is translated to produce the graph of t(x), where t(x) = x^2 + 6x + 13. What is a correct description of the translation?
Vertical shift 4 units up.
Write the recursive formula for the line: 4(n-1) + 7 = a_n
a_1 = 7
a_n = a_(n-1) + 4
Factor the following expression:
7x^2 +10x -33
= (7x - 11)(x + 3)
Which side of the graph of 4x + 1 > y is shaded?
The right side
1.025
A T-shirt company bought a new packaging and tracking system for $100,000. The formula V = 100,000(1-0.125)^y models the value of the system V, in dollars, after depreciating for y years. In this formula, what is the meaning of the term (1-0.125)?
The value of the system will decrease by 12.5% each year.
Are the solutions to the following quadratic equation rational or irrational? 7x^2 - 4x + 10
Neither
Factor the following expression:
6y^2 + 5xy - 50x^2
Find the solution to the system of linear equations:
2x + 3y = 0
x - 3y = 9
(3, -2)
If the cost of a car depreciates by 8% every year, calculate the price of a $20,000 car after 30 years.
$1639.32
What is an equivalent form of the function f(x) = -x^2 - 8x -12 that reveals the zeroes of the function?
f(x) = - (x+2)(x+6)
Use the quadratic formula to solve this equation:
4x^2 - 3x - 15 = 0
(-1.597, 0) (2.347, 0)
Solve the following quadratic equation using factoring: 10x^2 -31x - 14
x = -2/5, 7/2
Is the point (2, 2) a solution to the system of linear inequalities below?
13x + 2 > y
4x - 5y < 8
Yes
Calculate the amount of interest earned on an account that starts with $5,000 and earns 3% interest per year compounded monthly for 8 years.
$1,354.34 earned.
Members of a high school sports team are selling boxes of popcorn and boxes of pretzels for a fundraise. They earn $2 for every box of popcorn they sell and $5 for every box of pretzels. The members want to earn more than $500 from all sales. Write an inequality to represent the number of boxes of popcorn and the number of boxes of pretzels that need to be sold.
2x + 5y > 500