Basic Algebra
Systems of Equations
Quadratics
Probability and Stats
Linear Programming
100
2x+y=2x
additive identity
100
Solve the system of equations -4x – 2y = -12 4x + 8y = -24
(6, -6)
100
For the following quadratic equation, state the y-intercept and whether or not the parabola opens up or down y = -x^2 -4x + 7
y-intercept: -7 The parabola opens down.
100
Find the median of the following data: 7, 8, 5, 14
7.5
100
-3x + 2x < 6
x > - 6
200
Solve for y 3x – 2y = 14
y = 3/2x - 7
200
Solve the system of equations x – y = 11 2x + y = 19
(10, -1)
200
State the vertex of the quadratic equation y = 2x^2 - 4x + 5
(1, 3)
200
What is the probability of flipping a coin three times and getting three straight heads?
1/8
200
- p + 6p < 4 + 6p
p > - 4
300
Y varies directly with x. If x = 18 when y = -6, find y when x = -2.
y = 2/3
300
Solve the system of equations -2x – 9y = -25 -4x – 9y = -23
(-1, 3)
300
Find the product (-2x - 5)(x + 3)
-2x^2 -11x - 15
300
How many ways are there to choose 3 people from a group of 7 and assign them three different jobs?
210
300
Solve the inequality -(2 + 2m) - 2 > 6
m < -5
400
Solve for x -3(x – 4) + 4x – 1 = 7 - 2x
x = -4/3 or -1.3333...
400
Solve the system of equations 5x + y = 9 10x – 7y = -18
(1, 4)
400
Find the x-intercept(s) for the quadratic equation y = x^2 + 2x - 35
(-7, 0) and (5, 0)
400
Find the inter-quartile range of the following data: 11, 19, 5, 28, 25, 1, 27
22
400
Find the maximum and minimum: Objective function: C = 2y - 3x Constraints: x < 2 y > -1 y - x < 3
Minimum: -8 Maximum: 10
500
Write the slope-intercept form of the line going through the points (-2, 6) (1, 3)
y = -x + 4
500
Solve the system of equations 3x – 2y = 2 5x – 5y = 10
(-2, -4)
500
Find the x-intercept(s) for the quadratic equation: y = x^2 - 2x + 1
(1, 0)
500
What is the probability of rolling a pair of dice and getting either a 2 or 3 on each die?
1/9
500
Find the minimum and maximum: Objective Function: C = x - 2y Constraints: x > -2 y > x - 1 y < 7 - x
Minimum: -20 Maximum: 4
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