Quadratics 1
Quadratics 2
Linear Equations
Substitution/Elimination Method
Mixed
100
Convert to vertex form y = x2-8x+3.
What is y = (x-4)2-13?
100
Solve the following quadratic equation by factoring.
x2 - 6x + 5 = 0
(1, 5)
100
Find the slope of a linear function that contains the points (-2.5 , 9) and (5 , -13.5)
m=-3
100
Using the Substitution method, find the solution.
x = y + 4
4x + 2y = 22
(5, 1)
100
Where is the functions increasing and decreasing?
Increasing: (2, infinity)
Decreasing: (neg. infinity, 2)
200
Convert to standard form y = 4(x+2)2-8.
What is y = 4x2+16x+8?
200
Solve the following quadratic equation by using the quadratic formula: x2 + 6x + 5 = 0
x = -1, x = -5
200
What is the slope of the linear function:
-8x + 4y = 12
2
200
Solve using elimination
4x+7y=20
-4x+2y=-30
(7,-1)
200
Name the transformations.
f(x)=(x-2)2+5
Shift right 2, up 5
300
What is the vertex of g(x) = x2-8x+4.
What is (4,-12)?
300
Factor: 49x2 - 36
(7x+6)(7x-6)
300
Write a linear function that contains the points (0,2) and (-4,5).
f(x)=3/4x +2
300
Using the Substitution method, find the solution.
8 + x = y
6y + 2x =64
(2, 10)
300
What is the percent growth/decay rate?
y=5(1.3)^x
30%
400
Convert to vertex form of y = 4x2+12x+36.
What is y = 4(x+1.5)2+27?
400
Solve the following quadratic equation by using the quadratic formula: 2x2 + 9x + 4 = 0
(-1/2, -4)
400
It is y = (-1/3)x + 5
400
Solve using elimination
-3x+7y=-16
-9x+5y=16
(-4,-4)
400
Name the transformations of the following function:
f(x) = - |x - 4|+ 6
Right Four
Up 6
Reflected over the x-axis
500
Convert to standard form of y = -2/3(x-9)2-2.
What is y = -2/3x2+12x-56?
500
Solve by using the quadratic formula: 4x2 + 3x - 8 = 0
x = 1.09 or x = -1.84
500
It is y = 4x + 6.
500
Using the Substitution method, find the solution.
10x + y = 60
2x + 3y = 40
(5, 10)
500
A large company tracked the amount spent on each of their Amazon purchases over the past four years. For a sample of 135 purchases, the average amount spent was $35.23 with a margin of error of ± $2.16.
If the company predicts they will make 50 purchases on Amazon in the next month, what is the range of the predicted total amount they will spend?
First calculate the range of the average amount spent per purchase:
$35.23 - $2.16 = $33.07 and $35.23 + $2.16 = $37.39
Next multiply both by 50 to find the range of the predicted total amount they will spend:
$33.07 ᐧ 50 = $1,654.50 and $37.39 ᐧ 50 = $1,869.50.
The range of the predicted total amount they will spend on Amazon in the next month is $1,653.50 and $1,869.50.