Real Numbers
Evaluate the following
Square root of 25
Square root of 49
Cube root of 125
Square root of 25 = 5 or -5
Square root of 49 = 7 or -7
Cube root of 125 = 5
Solve the equation: 5x - 10 = -3
x = 7/5
Does the following represent a function?
(1, 3) (3, 5) (3, 7) (4, 9)
No, 3 has multiple outputs
Draw an example of a scatter plot with each type of correlation.
Positive, negative, no correlation
Check student work
Solve the equation: 4(x-2)=7x+3x-4
x = -4/6 = -2/3
Write the following as a single exponent
43 x 45
(x4)3
711/77
5-2
43 x 45 = 48
(x4)3 = x12
711/77 = 74
5-2 = 1/52 = 1/25
Solve the equation: 150 - x - 2x = 120 + 2x
x = 6
Draw an example of a linear and nonlinear function
Linear: straight line
Non-linear: not a straight line
What is an outlier? What might cause in outlier in a scatter plot?
Might be caused by differences in weather, holidays, time of year, etc.
Which of the following are irrational numbers?
Pi
-4/7
3.21568....
3.222...
Pi, 3.21568...
Write as a fraction: 0.5555....
5/9
Which store has the better deal on jeans? How much better?
Store A: 2 pairs of jeans costs $36Store B: 3 pairs of jeans costs $60
Store A because jeans cost $18 vs. $20. Save $2
Draw a graph to represent the following:
A runner starts off fast and runs for 10 minutes, then they slow down to a walk for the next 10 minutes. They take a break for 15 minutes and then sprint home.
Check student work.
What is a trend line? How does a trend line help. demonstrate the correlation?
A line that shows the general trend of the data.
The closer the points are to the line, the stronger the correlation
A graph shows Myles' bank account over several years. The y-intercept is at $15,000. What does this represent in the scenario?
His account had $15,000 in it initially.
Write in scientific notation OR in standard form
1.23 x 10-8
3.08 x 104
4,570,000,000
.0000701
.0000000123
30,800
4.57 x 109
7.01 x 10-5
Solve the equation: 25-(3m+5)=2(m+8)+m
m = 4/6 = 2/3
The equation y=21x+5 represents the cost to go to a baseball game and park the car.
What is the slope? What does the slope represent?
What is the y-intercept? What does the y-intercept represent?
Slope: 21, cost per ticket
Y-intercept: 5, cost to park
The equation of a trend line is: y = 1.9x + 21 This shows the increase in population over time.
What will the population be in 6 years?
Plug in 6 and solve: 32.4
Order the numbers from least to greatest.
3/5, -4.7, 1.89, square root of 12, -13/4
-4.7, -13/4, 3/5, 1.89, square root 12
Evaluate: 4x3y2z-2 for x=3, y=1, z=2
4(27)(1)/22=27
Give an example of an equation that has no solution. Must include variables and numbers in your example!!
Ex. 3h-5=3h+2
Carla is saving money for a trip this summer. She already has some money in her savings account and will add the same amount to her account each week. At the end of 2 weeks, Carla has $130. At the end of 8 weeks, she has $280. Write a linear function in the form y = mx + b to represent the amount of money, m, that Carla has saved after w weeks
y=25x+80
A trend line passes through these points: (30, 1070) and (75, 1680). The y-intercept is at 720. Write the equation of the trend line.
y=13.5x+720
Solve for x: −5(1 − 5x) + 5(−8x − 2) = −4x − 8x
x=-5