Systems of Equations & Inequalities
Find the intersection of y=x+1 and y=-x+3.
(1, 2)
Simplify
(3x^2 + 2x) + (x^2 - 5x)
4x^2 - 3x?
Factor: 6x^2 + 9x
3x(2x+3)
Find zeros for (x-3)(x+2)=0
3 and -2
The mean of 5, 10, and 15
10
Find the x-value of the solution for the system:
y = 2x and x + y = 6
2
Find the product of
(x - 3)(x + 3)
x^2 - 9?
Factor x^2 + 5x + 6
(x+2)(x+3)
Solve by factoring:
x^2 - 4x +3 = 0
1 and 3
Five students take an Algebra test and average a 92%. If two more students take the test and score a 95% and an 83%, what is the new average?
91.1%
What is the product of the solution to the system: x + y = 7 and x - y = 3
10
Simplify by subtraction:
(3x^2 + 2x - 5) - (x^2 - 4x + 1)
2x^2 + 6x - 6
Factor x^2 - 9 using square difference of squares
(x-3)(x+3)
What formula will work to solve a quadratic equation when factoring won't work?
Quadratic formula (should be written out)
What is the final grade for student whose grades are is weighted as:
Participation (15%, average 90)
Essays (45%, average 85)
Exams (40%, average 82)
84.55%
The solution to the system:
y = 2x - 4 and 3x + y = 11
(3, 2)
Find the product:
(2x - 1)(3x + 4)
6x^2 + 5x - 4
Factor
2x^2 + 7x + 3
(2x+1)(x+3)
What is the product of the solutions for
3x^2 + 5x - 2 = 0?
-2/3
Find the product of the median and the mean of the following data set: 10, 15, 20, 21, 25, 30, 33
462
Is the point (-1,2) a solution to the system of inequalities: y> 1/2x + 4 and y >-1/2x - 3
No, the solution only works for one of the inequalities not both.
Multiply
(3x + 4)(x - 5)
3x^2 - 11x - 20
First step in factoring
4x^2 + 8x + 4
Factor out a GCF (4)
Solutions for x^2 + 2x - 8 = 0
2 and -4?
The average (mean) of four test scores is 85. If three of the scores are 80, 88, and 90, what is the fourth score?
82