linear equations
What does the b value represent in the equation y=mx+b?
y-intercept
On which axis do you always find the independent value?
The x-axis.
Steve works at a local restaurant bussing tables. Every time he goes to work, he earns $20. He also gets $2.00 for each table he busses.
Number of Bussed Tables: 0 1 2 3 4 5
Amount of Money Made($): A B C D E F
How much money did he make in A-F?
The amount of money made will be:
A. 20 B. 22 C.24 D.26 E.28 F.30
What is the range of the data set: 60, 55, 51, 52, 57, 58, 60, 50, 56, 55, 51, 57?
The range is 60-50=10.
The range of ages of male Oscar-winning actors is from 28 years to 62 years. The Q1 age is 37. The median is 42 years. The Q3 age is 61 years. What is the interquartile range of the ages of male Oscar winning actors?
The IQR is 61-37=14 years.
The value for slope can be described as the rise over run. What does rise over run stand for?
The change in y-values divided by the change in x-values.
Which axis displays the output values from a table? Do the output values represent the dependent or independent variable?
The y-axis displays the output values, which represent the dependent variable.
Steve makes $2.00 per table bussed and $24 for each day worked. Write an rule to determine how much money Steve earns, E, based on the number of tables bussed, t.
E=2t+24
What is the median of the data set: 60, 55, 51, 52, 57, 58, 60, 50, 56, 55, 51, 57?
The median is 55.5.
The five number summary of female Oscar winner ages is as follows: minimum=22, Q1=32, median=35, Q3=41, maximum=62. What percentage of female Oscar winning actors are 41 years or older.
25% of female Oscar winners are 41 years or older.
For the linear equation y=2x+5, is the coordinate pair (2.5, 10) a point on the line?
Yes, when you plug in 2.5 for x and solve for y, y=10.
In kickboxing, the force, f, needed to break a board varies inversely with the length of the board, l. The equation f=10/l can be used to find the force needed to break different length boards. Complete the table:
Board length, l: 1 2 3 4 5 6
Force, f: 10 A B C D E
B=3 (1/3)
C=2.5
D=2
E=1 (2/3)
Using the equation E=2t+24, how much money would Steve earn, E, for bussing 40 tables, t?
Steve would earn 2(40) +24=$104 for bussing 40 tables.
What is the mode of the data set: 10, 2, 10, 13, 4, 1, 29, 3, 2 ,15?
The modes are both 2 and 10.
A function occurs when there is only one output value for every input value. Is the table below a function? Why or why not?
Age of Person Books Read
65 42 36 37 29 37 29 17
The table is not a function because the input value of 29 has output values of 17 and 37.
The slope is (3/8) and the y-intercept (-5/16).
Sort the equations into linear and non-linear functions.
A.y=3x
B.y=2x
C.y=(1/2)x-4
D.y=2x2+10
Linear Functions: A and C
Non-linear Functions: B and D
Steve needs to save $200 to buy a new video game. If he earns $2 per table and $20 for working, write and solve an equation to show how many tables he needs to bus before reaching his goal?
E=2t+20
200=2t+20
-20 -20
180/2=2t/2
90=t
What is the median number of siblings in the data set? NUMBER OF SIBLINGS FREQUENCY 0 4 1 9 2 19 3 13 4 8 5 1 6 2 7 1
The median of this data set is 2 siblings.
Use the distributive property to solve 5(10x-6).
50x-30
Jackie wants to buy a $565 bike. He has no money saved. He can deposit $30 per paycheck each Friday. But he has to pay his sister back $65 that he owes her. For how many weeks will he need to deposit money into savings before he can pay back his sister and buy the bike?
He will need to save for 21 weeks.
Members of two cross county teams ran an obstacle course. The table shows the times in minutes and seconds that it took team R to complete the course:
5:32 6:48 4:25 8:05 7:23 5:37 5:12 6:26 5:31 4:43 6:08 7:16 5:52 5:21 6:53 4:49 5:02 6:33 5:54 6:20
A histogram of this data would have a maximum frequency value between which minutes? What would the frequency value be at the max?
The maximum frequency would be 8 and it would occur between 5 and 6 minutes.
Which equation models the data table below?
x 10 20 30 40 50
y 11 36 61 86 111
A. y=(5/2)x+11 B. y=(5/2)x+14
C. y=25x-14 D. y=(5/2)x-14
D.
What are the Q1 and Q3 values of the data set: 50, 51, 51, 52, 55, 55, 56, 57, 57, 58, 60, 60?
The Q1 value is 51.5 and the Q3 value is 57.5.
Cindy solved the equation incorrectly. Identify the error and solve the problem.
12x+8 (+12x)=16x-16 (+12x) 8/(4)=4x/(4)-12 2(+12)=x-12(+12) 14=x
Cindy divided by 4 before adding 12. She should have added 12 first to get x=5.