Systems of Equations Substitution
Systems of equations Elimination
Factoring & The Quadratic Formula
Quadratic Equations
Exponents and Radicals
100
Solve this system (NO CALCULATOR). Show all your work. You MUST use substitution method.
-5x + y = -2
-3x + 6y = -12
(0, -2)
100
Solve this system (NO CALCULATOR). Show all your work. You MUST use elimination method.
-6x + 5y = 1
6x + 4y = -10
(-1, -1)
100
Factor and identify the solutions.
x2 +7x + 10 = 0
(x + 5)(x + 2)
x = -5, -2
100
Given the equation x2 - 8x + 17 Select all that are true. Show all your work.
A. function has a maximum
B. function has a minimum
C. Vertex = (-4, 1)
D. Vertex = (4, 1)
E. Vertex = (4, -1)
F. Vertex form f(x) = (x + 4)2 +1
G. Vertex form f(x) = (x - 4)2 + 1
H. Vertex form f(y) = (x- 4 )2 - 1
A, D, G
100
Simplify:
71/4 x 73/4
7
200
Solve this system (NO CALCULATOR). Show all your work. You MUST use substitution method.
y = 5x -7
-3x - 2y = -12
(2, 3)
200
Solve this system (NO CALCULATOR). Show all your work. You MUST use elimination method.
x - y = 11
2x + y = 19
(10, -1)
200
Factor and identify the solutions.
x2 - 11x +19 = -5
(x - 8)(x - 3)
x = 8, 3
200
The height y (in feet) of a ball that was thrown up in the air from the roof of a building after t seconds is given by the equation -t2 + 10t = -25. Find the maximum height of the ball. Show all your work.
A. Vertex = (10, 25), maximum height is 10 feet
B. Vertex = (5, 50) maximum height is 50 secs
C. Vertex = (50, 5) maximum height is 10 feet
D. Vertex = (5, 50) maximum height is 50 feet
E. Vertex = (-5, 50) maximum height is 50 feet
D. Vertex = (5, 50) maximum height is 50 feet
200
Simplify: 41,1900
1
300
-4x + 3y = -2
y = x - 1
(-1, -2)
300
Solve:
3x - 4y = -5
-10x + 4y = 12
(-1, 1/2)
300
Factor and identify the solutions.
x2 - 10x + 22 = -2
(x - 6)(c - 4)
x = 6, 4
300
Given the equation x2 - 4x = 4 identify the vertex.
(2, -8)
300
Write this problem in radical form then simplify.
641/2
8
400
2x - y = 2
2x + y = 6
(2, 1)
400
2x - 3y = 8
4x + 3y = 16
(4, 0)
400
Apply the Quadratic Formula
5x2 = 80
x = 4
400
Write 3 forms of a quadratic if you are given:
vertex (2, -3)
a= 1
x= 3
Standard Form: ________________________________
Vertex Form: __________________________________
Intercept Form: ________________________________
Standard Form: y = x2 - 4x + 3
Vertex Form: y = 1(x - 2)2 + -3
Intercept Form: y = 1(x - 3)(x - 1)
400
Simplify: x5/x8
1/x3
500
y = x + 6
y = 2x + 7
(-1, 5)
500
4x - 2y = 4
2x + y = 6
(2, 2)
500
Apply the Quadratic Formula
4x2 + 8x + 7 = 4
x = -1/2, -3/2
500
Write 3 forms of a quadratic if you are given:
vertex (4, -25)
a= 1
x= 4
Standard Form: ________________________________
Vertex Form: __________________________________
Intercept Form: ________________________________
Standard Form: y = x2 - 8x - 9
Vertex Form: y = 1(x - 4)2 + -25
Intercept Form: y = 1(x - 9)(x + 1)
500
23 sqaure root 2