Linear Systems
Quadratic Expressions
Quadratic Relations
Quadratic Equations
Trigonometry
100
Determine the algebraic equation that would represent the following:
Seven times a number subtracted from 5 is 26
5-7x=26
100
Expand and simplify
(3x-1)(2x+10)
6x^2+28x-10
100
What is the y-intercept of the function
y=3x^2-4x-10
(0,-10)
100
What is the quadratic formula?
x=(-b+-sqrt(b^2-4ac))/(2a)
100
Determine the value of x if
sinx=0.82
55 degrees
200
Solve by substitution.
x+4y=6
2x-3y=1
(2, 1)
200
Expand and simplify.
(x-5)^2-3(2x+7)
x^2-16x+4
200
State the transformations of
y=-1/2(x-2)^2+8
reflection in the x-axis
vertical compression by a factor of 1/2
horizontal shift right 2 units
vertical shift up 8 units
200
Solve by factoring.
3x^2-9x
x=0, x=3
300
Solve using elimination
3x+2y=2
4x+5y=12
(-2,4)
300
What is the GCF of the following?
5x^2y^3-15x^2y^2+45xy^2+20xy
5xy
300
State the vertex, direction of opening, axis of symmetry and max/min value of the following:
y=8(x-3)^2-7
V=(3,-7)
opens up
x=3
min of -7
300
Determine the x-intercepts.
2x^2-x-6
(2,0), (-3/2,0)
300
Find the value of x. Round to one decimal.
x=15.9
400
Maria had $10 000. She invested part of it in an account paying 4% per annum and remainder in bonds paying 5% per annum. If the total interest earned after 1 year was 440, how much did she invest in each account?
Maria invested $6000 at 4% and $4000 at 5%
400
Factor.
x^2-7x+10
(x-5)(x-2)
400
Find the equation of a parabola that has a vertex at (-2,-5) and goes through the point (0,-3)
y=1/2(x+2)^2-5
400
Solve using quadratic formula.
(x-2)^2+10=0
x=5.16, x=-1.16
400
Determine the value of a
a=17
500
Maryam has a bottle of 5% acetic acid and a bottle of 10% acetic acid. How much of each would she use to make 250 mL of 8% acetic acid?
Maryam would mix 100 mL of the 5% acetic acid with 150 mL of the 10% acetic acid.
500
Factor.
-12n^2+27m^2
-3(2n+3m)(2n-3m)
500
Determine the vertex of the parabola.
y=-5x^2+20x+2
V=(2,22)
500
A sporting goods store sells 90 ski jackets in a season for $200 each. Each $10 decrease in the price would result in five more jackets being sold. What is the max revenue?
The max revenue is $18050