Math Review 1
Find the difference: (4x2-3x+5) - (-x+3x2-8)
x2 -2x+13
What is the solution to 8x - 3(2x - 4) = 3(x -6)?
30
Simplify the following: -5√108
-30√ 3
y=3(1/2)x
Exponential Decay
Fully simplify the following polynomial expression: 2(3x-2)(-4x+7)
-24x2+58x-28
Simplify 4 √147.
28√ 3
Solve the following quadratic equation by completing the square: x2 - 6x + 5= 0
x = 1, x = 5
Simplify the following expression: (-sd3)6
s6d18
Factor the following polynomial: x2-2x = 35
(x+5)(x-7)
List the transformations of the following quadratic (in order): y = -3(x+5)2-7
Reflection over the x-axis
Vertical stretch of 3
Left 5
Down 7
Solve the following quadratic by factoring: x2+12x+20=0
x = -2, x = -10
What is the slope of the graph of y = 12x − 19?
12
Factor the following polynomial: 36x2-121
(6x+11)(6x-11)
Write the vertex of the following quadratic: -3x2-6x+1=0
(-1,4)
The total number of seats in an auditorium is modeled by f( x) = 2x^2 - 6x, where x represents the number of rows of seats. How many rows are there in the auditorium if it has a total of 416 seats?
16
Which value of x makes the equation 1.25(4x − 10) = 7.5 true?
4
What is the slope of the line represented by 5x - 12y = 24?
5/12
A college student completed some courses worth 3 credits and some courses worth 4 credits. The student earned a total of 59 credits after completing 18 courses. How many courses worth 3 credits did the student complete?
13
What is the equation in slope-intercept form of the line that passes through the point (5, 0) and is parallel to the line represented by y = 1.2x + 3.8?
y = 1.2x − 6
Mr. Davis is still sick of your cell phones. Once again, he allows Manny to bash 10% of the phones into an unusable pile of trash each day. If all 27 students have cell phones at the start of this revolution, how many phones will remain after after 6 days of bashing? Round to the nearest whole phone.
14 cell phones