Linear Systems
Quadratic Expressions And Relations
Quadratics Equations
Trigonometry
100
Name The slope and y intercept of the following equation:
y= 2x
Slope = 2/1
Y intercept = (0,0)
100
What is the direction of opening for the following equation?
y=-3x² + 2
The direction of opening is DOWN.
100
Solve By Factoring
x² - 2x =15
x = - 3
x = 5
100
Prove The Triangles are Similar
∠A = ∠ A (Shared Angle)
∠P = ∠B (Z Pattern)
∠Q= ∠C (Z Pattern)
200
Name the x intercepts, vertex, and axis of symmetry.
Vertex = (-2, 4)
Axis of symmetry = (-2)
X intercepts = (-4,0) (0,0)
200
Find the Vertex
y= (x+3)² - 4
Correct Answer
= (-3,-4)
200
Solve By Factoring
0 = 2x² + 11x +5
Answer
x= -5
x= -1/2
200
Solve For x
x = 22.51
300
Solve By Elimination
3x − 2y = 2
5x − 5y = 10
POI (-2,-4)
300
Name and give formula to the three quadric forms.
Standard Form: y= ax² + bx +c
Vertex Form: y= a(x-h)² + k
Factored Form: y= a (x-r) (x-s)
300
Solve Using Quadratic Equation
x² +5x + 6 =0
X1= -2
X2= -3
300
Find Angle θ
Answer
θ = 18.43
400
Solve By Substitution
y=4x−11
2x−3y=−7
Answer
(4,5)
x = 4
y = 5
400
State the transformations applied to the following function.
y=3(x-4)² + 2
- Vertical stretch by a factor of 3
- Horizontal shift right 4 units
- Vertical shift up 2 units
400
Re write the following equation into vertex form
y= 5x² - 30x + 41
Answer:
y= 5(x-3)²-4
400
Find side "c" using Sine Law
Answer
c = 11.78
500
A sports store sells Adidas soccer shoes for 82 dollars a pair and Puma running shoes for 95 dollars a pair. The store sells 75 pairs of Adidas and Puma were sold one day totalling $6241. How Many shoes were sold that day?
68 Pairs of Adidas soccer shoes were sold and 7 pairs of puma running shoes were sold.
500
The Half Life of sodium-222 is 4 days. Determine the remaining mass of 300mg of sodium-222 after 8 days.
Answer
75mg
500
The Product of 2 Consecutive Numbers is 3306. Find the consecutive numbers
The numbers are57 and 58
500
An observer 1.5 metres tall is 20.5 metres away from a tower 22 metres high. Determine the angle of elevation of the top of the tower from the eye of the observer.
Angle of Elevation is 45 degrees