Topic 1
Is 34 x 105 in scientific notation? Explain
No, 34 is not greater or equal to 1 and less than 10. Because 34 x 105 is equal to 3,400,000 it should be written 3.4 x 106 in scientific notation.
In the equations y=4x -2 what is the slope? What is the y-intercept?
Slope: 4 (NOT 4X)
Y-intercept: -2
How do you tell if a graph on a coordinate plane is a function?
If it passes the vertical line test OR if each x value (input) has exactly one y value (output)
A relation in which each input, or x-value, has exactly one output, or y-value
Function
Solve for x: 3x+2=14
x=4
Write an expression that is equivalent to x-5 in positive exponents?
1 / (x5)
What is the slope between the two points (2,3) and (7, 12)
(12-3)/(7-2) = 9/5
Is (1, 10), (2, 12), (3, 15), (4, 19) a function?
Yes, each x value (input) has exactly one y value (output)
The slope of a line
Rate of change
Solve for x: 2x+4 = 2 (x+2)
All real numbers
What is the exponent in (54)6 keep base 5?
What is 54*6=524
An architect is designing a water slide. The highest point of the slide is 180 feet above the ground. The water slide extends horizontally for 90 feet as it descends the slope. What is the slope of the water slide?
2
Is (1, 10), (1, 9), (1, 8), (1, 7) a function?
No, 1 (input) has more than one output.
The value of the output when the input is 0, or the y-intercept of the graph of a line
Initial Value
Solve for x: 6(x+5)=40+8
x=3
The average thickness of a human hair is 0.00008 meters. A strand of DNA is about 0.000000008 meters wide. How many times wider is a human hair than a strand of DNA (write your answer in scientific notation).
10,000
1 x 104
The local amusement park charges $18 for admission. Each ride costs $5. What is the function that relates the amount spent, S, to the number of rides, r? (write an equation)
S=18 +5r
Which function has a greater constant rate of change?
A: y=10x - 5
B: (1,20), (2,15), (3,10), (4,5), (5,0)
A. Function A has a rate of change of 10. Function B has a rate of change of -5.
The change in y divided by the change in x is the
Slope of a line
Solve for x: 5x−3+2x+6=4x+15−x
Change 0.4444.... to a fraction.
What is 4/9
Using the two points write an equation in slope intercept form (y=mx + b)
(4, 7) and (0, 8).
y= (-1/4)x + 8
Draw a graph: Interval 1 starts at 0 and has a positive slope, Interval 2 has no change, Interval 3 has a positive slope, Interval 4 has a negative slope
Check drawing
Any number that can be written as a fraction p/q where q is not equal to 0.
Solve for x: 3(x+2)+4=16-2(2x+3)+10 (keep answer as a fraction)
x=10/7