Vocabulary
Write the Equation for both Area and Volume.
Area = Length x Width
Volume = Length x Width x Height
What is the square root of 144?
12
If x is the number of dogs, and y is the number of cats, what does the coordinates (12 , 15) mean?
There are 12 dogs and 15 cats.
What is the approximate value of the Square Root of 12?
Exact = 3.464
Describe the Mean, Median, and Mode
Mean - The average of a set of numbers.
Median - The middle number in a set of data.
Mode - The number appearing most frequently in a set.
If the Point A: (1,2) was Dilated with a scale factor of 3, what are the new coordinates of Point A?
Point A = (3,6)
Find the mean and median of the following set of numbers: 2, 5, 7, 10, 12
Mean = 7.2
Median = 7
Find the Total population of each Country by changing the exponent to a number and multiplying by the first number.
Nicaragua: 7 × 106
Thailand: 7 × 107
Tonga: 1 × 105
Vietnam: 1 × 108
Nicaragua: 7,000,000
Thailand: 70,000,000
Tonga: 100,000
Vietnam: 100,000,000
List and Describe the 4 Types of Transformations
Translation: Shifting a shape
Reflection: Mirroring an image over a line
Rotation: Spinning a Shape around a point
Dilation: Zooming a shape in or out
What does the variable equal for:
8 − 2(x + 10) = 4x − 6
8-2(x+10)=4x-6
8 - 2x - 20 = 4x - 6
-12 - 2x = 4x - 6
-2x = 4x + 6
-6x = 6
x = -1
Look at the Graph in Question 9. What is the coordinates of the solution?
( 6 , -2 )
Look at the Graph in FORWARD Question 11. What is the Equation for the Graph? (Y = mx + b)
Y = -1/2 + 3
Describe each part of the equation:
Y = mx + b
Y = Total (Output)
m = Slope
x = Input
b = Y-Intercept
Question 1 on the Whiteboard.
2/11 = 0.18 repeating
17/90 = 0.18 repeating
188/999 = 0.188 repeating
181/100 = 0.181
You have 2 points. Point A (11, 2) and point B(−8, 1).
How far do I need to travel to get from Point A to the Point B?
Move left 19 and move down 1.
On a number line, 11 to -8 is 19 units. So I move left 19.
On a number line, 2 to 1 is 1 unit. So I move down 1.
A farmer is plowing her fields. She has already plowed 12 acres. The farmer continues to plow at a constant rate so that she will have plowed a total of 36 acres after 4 hours. Which equation could the farmer use to find the number of acres, y, she will have plowed after x hours?
y = 9x + 12
Write the equation and give an example of:
The Pythagorean Theorem
A^2 + B^2 = C^2
3^2 + 4^2 = 5^2
A system of linear equations is shown.
y = 2x − 4
y − 4 = 2x
How many solutions does the system of equations have?
A. 0
B. 1
C. 2
D. infinite
2x - 4 = 2x + 4
2x = 2x + 8
0 = 8
Answer: A (0 Solutions)
A hot-air balloon is fueled by propane gas. A pilot records her propane gas use, y, in gallons, after flying for x minutes.
She determines that the equation y = 40 − 2/5x best models the data.
What does the slope of the pilot’s equation represent?
A. The hot-air balloon uses 2 gallons of propane gas every 5 minutes.
B. The hot-air balloon uses 5 gallons of propane gas every 2 minutes.
C. The hot-air balloon uses 2/5 gallon of propane gas every 40 minutes.
D. The hot-air balloon uses 5/2 gallons of propane gas every 40 minutes.
Answer: A
The slope of the equation is −2/5 . The −2 is the vertical change (Rise) of gallons used, while the 5 is the horizontal change (Run) of minutes.
A new company hired 24 employees. Some of the employees work 40 hours each week, and the rest work 20 hours each week. In total, the 24 employees work 740 hours each week. How many of the 24 employees the company hired work 40 hours each week?
13 employees work 40 hours each week.