Systems of Equations
Exponents and Exponential Functions
Polynomials
Factoring
Quadratic Equations
100
Use a graphing calculator to solve: Y = 3x - 5, Y = 5x + 11
(-8, -29)
100
(xa)b
xab
100
(5x2 + 6x + 3x2 - 15) - (4x2+ 14)
2x2 + 5x - 19
100
12x3 - 16x2 + 4x
4x(3x2 - 4x + 1)
100
What are the solutions: x2 + 5x + 4
x = -4, x = -1
200
Use substitution to find: Y = 6x - 5, X = -3x + 10
(2.5, 10)
200
Simplify but do not solve: 83 * 85 - 48
48
200
(2x - 7)(9x + 12)
18x2 - 39x - 84
200
x2 + 9x + 20
(x + 4)(x + 5)
200
Round to the nearest hundredth: x2 + 14x + 5 = 0
x = -0.37, x = -13.63
300
Use elimination to solve: 6x + 18y = 72, -6x + 3y = -72
(12, 0)
300
Solve the expression: 36 + 122
104,976
300
Factor before multiplying: (64x3 * 16x2 +4x)
4x(16x2 + 4x + 1)
300
16y2 + 24y + 9
(4y + 3)2
300
3x2 + 8x + 19 = 0
There is no solution (prime)
400
The number of dimes quarters Julia has is 20. The total price of all her coins is $2.75. How many of each does she have?
Dimes (x) = 15, Quarters (y) = 5. [15, 5]
400
Use a graphing calculator to solve: Y = 2x - 8
400
Solve in factored form: x2 - 7x - 8
(x - 8)(x + 1)
400
(x2 - 4)
(x + 2)(x - 2)
400
Use a graphing calculator to solve: y = x2 - 27x + 14
500
If you were to solve a system of equations down to 45 = 71, how many solutions would there be?
No Solution
500
73 - (8 + 4)2
199
500
Factor the equation: x^2 + 63x + 920
(x + 23)(x + 40)
500
-2 + 48x2+ 12x + 4x
48x2 + 16x - 2
500
George throws a ball from 40 meters off of the ground. The height of the ball from ground level ‘x’ seconds is defined by the function f(x)= 40x - 5x2. What is the maximum height of the ball?
Maximum = 80 meters