Unit 1
Solve: 3x-6=18
x=8
Describe the transformations:
f(x) = 2(x − 5)2+ 7
Vertical stretch, horizontal shift right 5, vertical shift up 7
True or False :The following polynomial is in standard form:
49x4+9x7+12
False
What are the x-intercepts of the following equation?
y = 3 (x - 4)(x + 2)
x=4,-2
You have a rectangular prism shaped aquarium filled with 6,300 cubic centimeters of water.
The base of the aquarium is 30 cm long and 15 cm wide.
What is the height of the water in your tank?
h=14
Find the y value with the given x.
f(x)=3x+5
f(0)=
f(0)=5
Find the axis of symmetry
f(x) = −(x + 1)2+ 2
x=-1
7x2+12x-4 is...
A) Constant and monomial
B) Quadratic and binomial
C) Quadratic and trinomial
D) Cubic and binomial
E) Cubic and trinomial F) Linear and monomial
G) Linear and binomial
C
Convert the following from factored form to standard form. y = 3(x + 1)(x + 5)
y=3x2+18x+15
What is the midpoint of the points (-3, 5) & (2, -1)?
(-0.5, 2)
Solve the following absolute value equation
| 3x + 1| = 13
x=4, x=-14/3
Find the vertex:
y = 2x2+ 4x + 3
(-1,1)
Find
f(x) + g(x)
f(x)=4x4-8x-5 and g(x) = 5x-4-3x3
4x4 -3x3-3x-9
Find the Average Rate of Change (AROC) of the following:
y = -2x2 - 7x + 1, [O, 5J
-17
What is the distance between points (6, 3) & (-4, -3)? Round to the nearest hundredth.
11.66
Write a line in slope intercept form with slope= -3 through (0,6)
y=-3x+6
Find the vertex:
y = −(x − 2)(x + 2)
(0,4)
True or False
The expression (x+5)2 can be simplified to (x2+25)
FALSE!
Convert the following from standard form to factored form. y = x2 + 8x - 20
y=(x-2)(x+10)
Simplify:
(-5a4b3)(4a-2b)
-20a2b4
Write a line in slope intercept form with the given properties: Through (8,-6) perpendicular to y=4/7x-7
y=-7/4x+8
Describe the transformations:
f(x) =-4(x + 1)2− 2
Vertical stretch of 4, left 1, down 2, reflection across the x-axis.
Factor:
15x2-18x+3
11. Find the Average Rate of Change (AROC) of the following:
y = -2x2 - 5x + 30, [1, 3]
-13
Find the zeros: y=2x2-8x
x=0,4