y=mx+b
Systems of Equations
Linear Regression
Equivalent Expressions
Loonie Linears
100
For the following equation what is the slope and y-intercept? y = .5x + 25
What is .5 for slope and 25 for the y-intercept
100
What are three ways you can solve a system of equations?
What is with a table, a graph, or algebtaically?
100
Linear Regression is a more mathematically advanced term for this: ____________________, which you learned last year in 8th grade math.
What is Line of Best Fit?
100
When finding equivalent expressions you tend to be doing this to an expression. Hint: It's not solving, but _________.
What is simplifying?
100
Rate of change is the same as what linear term?
What is slope?
200
For the following data describing a person's age and corresponding height, what is the rate of change? State it in terms of age and height. Age (days): 60, 62, 64, 66, 68, 70 Height (centimeters): 208, 213, 218, 223, 228, 233
What is 5/2 or 2.5 cm per year. As age increases by one (or every year), the person's height increases by 2.5 cm.
200
A system of equation solution is where both equations _______________.
What is the same; equal; intersect on a graph; have the same x and y values?
200
When you find the linear regression line, you notice that the points seem to be balanced on both sides of the line. You would want this to be true about the points on both sides of the line.
What is you have the same amount of points on both sides of the line?
200
From class, explain how we were using equivalent expressions in context. How can it be useful to know how to use equivalent expressions in some careers, especially if you work in finances?
What is using equivalent expressions to make concepts like profit easier to calculate by simplifying the expressions. If you work in finances it is much more efficient to use a simplified expression rather than a multi-step, long expression.
200
You can tell if two variables are related by a linear function in a table or graph if you notice this.
What is a constant rate of change?
300
What is the general rule for a linear function? What do the different parts of the rule tell you about the function it represents?
What is y=mx + b? m is the coefficient of x and represents the slope or rate of change in y as x increases. b is constant term, the y-value of the y-intercept. It is the starting value or the value of y when x = 0 (where it crosses the y axis).
300
Elke's credit union monthly service charge (y) in terms of how many checks she writes (x) can be represented with the equation: y = 2.00 + .10x. A different bank offers her a monthly service that would be y =.25(x-10). At what number of checks and amount will these two banks charge Elke the same amount? State your answer in context, too.
What is (30, 5.00). When Elke uses 30 checks, both banks will charge her $5.00.
300
Given a table of data, what steps do you take to put perform linear regression and find a linear regression model?
What is Enter data into L1 and L2. Go to stat, calc, LinReg(ax+b). Take the a value and b value that is shown and use it write your linear equation in the form y = ax + b.
300
Write an equivalent expression in its simplest form for: y = 10 - (4x + 8) Is this expression in y = mx + b form?
What is y = - 4x + 2? Yes
300
What is the solution to 40x + 60 < 520
What is x<11.5?
400
What is the linear rule for a line that passes through the points (-3, 1) and (6, 28)?
What is y=3x+10
400
Solve the system of equations: y = 35 + 0.2x y = 85 + 0.7x
What is (-100, 15)
400
Use the calories and infant mortality data on Pg 233 of your textbook to perform linear regression. Set up the data as (daily calories, infant mortality) What is your linear regression model for this data?
What is y=115.23 - 0.03x?
400
Rewrite the following so that it is in slope intercept form. y = 2(x+3) - 10. What is the y-intercept? ?
What is y = 2x - 4? y-intercept = - 4.
400
Would the point (12, 9) be on the line y = -2x + 15? How do you know?
What is no? When you substitute the coordinate into the line, it does not work or give a true mathematical statement. All points from the line will work, this one does not, so it is not on the line.
500
Elke has a checking account at the local credit union. She pays a service charge of $2.00 per month. In addition, she pays $.10 for each check she writes. Write a rule that gives Elke's monthly charge y in terms of the number x checks she writes during a month.
What is y=2.00 + .10x
500
A system of equations has no solution when this is true about the two linear functions.
What is the lines are parallel/the lines have the same slope?
500
In a health and nutrition study, daily calories (x) and life expectancy (y) were examined. Based on the data collected, we found that the following regression model could represent the data between daily calorie intake and the life expectancy of a person. y = 36.675 + 0.012x What would be the predicted amount of daily calories for someone with a life expectancy of 80 years old? Round to the nearest hundredth.
What is 3,610.42 calories?
500
Try to write an equivalent expression that is in slope intercept form for the following equation: y = (3x + 4) - 2(x + 1)
What is y = x + 2?
500
What are the two differences between solving a linear EQUATION and solving a linear INEQUALITY?
What is an equation gives you an exact answer where an inequality gives you a range of numbers that are solutions and when solving an inequality, if you divide or multiply by a negative you MUST SWITCH THE INEQUALITY SYMBOL's direction (flip it).
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