Functions
Solving Linear Equations
Solving Systems of Linear Equations
Vocabulary
Word Problems
100
If each input has ONLY ONE OUTPUT it is a ___.
What is function
100
solve 4a - 4 = 8 + a
What is a =4
100
Solve the system by substitution x = 5 & y = 2x - 1
What is (5, 9)
100
A measure of steepness of a line on a graph; the rise divided by the run.
What is slope.
200
Function or not: Mr. Harris can buy a polo on Monday and it's $20. On Tuesday the same polo is 30% off. On Wednesday it is 40%off. (input polo, output cost)
What is not a function
200
solve 14 + 5x = 3(-x+3) -11
What is x =-2
200
Solve the system by substitution y = 3x - 4 & y = x + 2
What is (3,5)
200
a set of values that make all equations in a system true
What is solution of a system of equations
200
Miguel currently earns $9 per hour at work. His hourly wage will increase by ¢ every months for the first year. In a function that models Miguel’s average hourly wage over time in months, what is the slope?
What is $.14 per hour.
300
Function or not: (4,3), (3,0), (-1,3), (2,7)
What is yes, each input only has one output
300
2/3n -2/3 = n/6 +4/3
What is n = 4
300
Double Jeopardy: Solve the system of linear equations by substitution. 3x - 2y = 9 & y = 2x - 7
What is (5,3)
300
An input-output relationship that has exactly one output for each input.
What is a function
300
A car rental company has two rates. The first rate is $45 per day plus 29.5 cents per mile. The second rate is $90 per day plus $0.07 per mile. If you rented at the $90 rate, how many miles you would need to drive to break even?
What is 200 mi
400
Is this function linear? y = x^2 + 3
What is no, the exponent makes it curve
400
Solve 5(x-3) + 6 = 5x -9
What is infinitely many solutions
400
Solve the system by elimination 6x + 5y = 4 & -6x + 7y = 20
What is (-1, 2)
400
a linear equation written in the form y = mx + b, where m represents slope and b represents the y-intercept.
What is slope-intercept form
400
Two friends, Khalid and Sue, have a combined height of 126 inches. The difference between Khalid’s height and Sue’s height is 6 inches. How tall is each friend?
What is sue 66in, khalil 60 in
500
Double Jeopardy- Determine whether each situation is linear or nonlinear, and proportional or nonproportional: Alberto started out bench pressing 50 pounds. He then added 5 pounds every week.
What is linear, nonproportional.
500
solve 5(x-3) +6 = 5x -10
What is zero soltions
500
Solve by elimination 2x + 5y = 16 & -4x + 3y = 20
What is (-2,4)
500
The y-coordinate of the point where the graph of a line crosses the y-axis.
What is y-intercept
500
The perimeter of a rectangle is 42 feet. The length decreased by three times the width is 1 foot. The dimensions of the rectangle are____.
What is length=16 ft; width = 5 ft.