Linear Functions
In the equation y = 2x + 4, what does the 2 mean?
slope, or constant rate of change
Identify the 3 Transformations
Translation, Reflection, Rotation
What is the slope formula?
y2 - y1 over x2 - x1
List the general equation form of the three types of functions.
Quadratic: Y=ax2+bx+C
Exponential: abx
What is the square root(s) of 144
12, -12
In the equation y = 4x - 5, what does -5 mean?
y intercept
If a pre-image reflects over the y-axis, from the first quadrant, what is the rule? (Triangle ABC coordinates are A (2,2) B (4, 6) C (6, 2)
(x,y) > ( -x, y)
or A' (-2, 2) B' (-4, 6) C' (-6, 2)
Solve for x: 2x + 4x = 12
x = 2
What is the slope and y-intercept?
2x + 3y = -4
What is:
Slope: -2/3x
Y-int: -4/3
What is the cube root of 64?
4
what is meant by the y intercept?
where the line crosses the y axis
Find the Volume of a Cylinder with a radius of 5 inches and height of 8
Remember the Formula is V = pi x r2 x h
628in3
Solve for x -5x - 10 = 20
-6
Describe the transformation:
F(x) = (x+4)2+3
to
F(x) = (x+4)2 -2
Vertical shift down
What would the repeating decimal 0.123123123... be as a fraction?
123 over 999
Find the slope of the following points
(10, 2) and (-9,7)
What is -5/19?
If a scale factor is 4, will the pre-image enlarge or reduce?
enlarge
11(b + 18) – 6(2b + 1) = 4(–b + 9)
Solve for b
What is -52?
Alex is selling handmade toys in an online craft boutique. He hopes to earn at least $190 by selling toy cars for $6 each and toy trucks for $14 each.
Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.
6x+14y >(greater than or equal to) 190
Solve the problem.
State your answer in scientific notation.
(1.5 × 106 )(5.9 × 104 )
8.85 × 1010
Roger has already taken 1 page of notes on his own, and he will take 3 pages during each hour of class. In all, how many hours will Roger have to spend in class before he will have a total of 10 pages of notes in his notebook? Write and solve an equation to find the answer.
What is
Equation: 1 + 3x = 10
Answer: 3 hours
If a pre-image rotates 180 degrees clockwise from quadrant II to Quadrant IV, What other transformation can be performed to create the same image?
A reflection across the y-axis then a reflection across the x-axis
or
A reflection across the x-axis then a reflection across the y-axis
Solve the system of equation using elimination method.
5x + y = 9
10x − 7y = −18
What is (1,4)?
Use the quadratic formula for the following:
What are the roots of the following quadratic equation: a2+4x +3?
What is -1 and -3?
When the Sun makes an orbit around the center of the Milky Way, it travels 2.025 × 10 14 kilometers. The orbit takes 225 million years. At what rate does the Sun travel? Write your answer in scientific notation
9.0 × 105 km per year