Systems of Equations
Functions
Linear Equations
Translating Word
Problems
Problems
Random
100
The system graphed below has a solution of?
(-1, -4)
100
Is the following relation a function? Justify.
Not a function. Fails vertical line test
100
Write an equation for a line that contains the point (0,-9) and has a slope of 8.
y=8x-9
100
Rewrite the following into an equation:
Hannah is taking a road trip in her SUV rental. The car costs $200 to rent with an additional fee of $1.50 per a mile she drives. Where x represent total number of miles driven and y represents total cost.
y=1.50x+200
100
Which of the following coordinate points is a solution to the given line?
a. (4, 0)
b. (0,1)
c. (3, -5)
d. (-5, 3)
c. (3,-5)
200
What is the point of intersection for the following system of equations?
x=-6y-4
6x-12y=24
(2, -1)
200
Which of the following relations are NOT functions? Justify your choice with the following terms: input, output, and mapping
A and D are NOT functions.
Choice A had repeated inputs with different outputs.
Choice D has multiple mapping from the input of 0 to DIFFERENT outputs.
200
What is the slope of a line that contains the points (3, 3) and (6,1)?
m=-2/3
200
Write an equation for the following scenario:
Jolie purchased 2 hardcover books and 9 paperback books for a total of $215. Where h represents the cost per hardcover book and p represents the cost per paperback book.
2h+9p=215
200
Based on the graph below, what is the solution to the system? Justify.
a. (2,15)
300
DOUBLE*
What is the solution the system of equations below?
8x-6y=-20
-16x+7y=30
(-1,2)
300
Identify the interval that is non-linear in the given function below.
3<x<=9
300
What is the y-intercept of a line that has a slope of 2 and contains the point (2,9)?
b=5
300
Write a system of equations for the given scenario:
The Norwood Tigers are having team shirts made. One option is to pay Isaac's Tees a $37 setup fee and then buy the shirts for $5 each. Another option is to go to City Printing, paying $35 for a setup fee and an additional $6 per shirt.
Be sure to define your variables and label your equations.
x= number of t-shirts
y= total cost
Isaac's Tees:y=5x+37
City Printing:y=6x+35
300
Identify the following equations as linear or non-linear? Justify.
y=x+4^4
y=x(x+2)
y=x^4+4
y=x(x+2) and y=x^4+4 is non-linear as both has an exponent not equal to one on the variable.
y=x+4^4 has an exponent of 1 on the variable
400
What is the solution to the system of equations below?
6x+8y=30
3x+4y=15
Infinite Solutions
400
Name ALL intervals in which the function is INCREASING.
-oo<x<=1
3<x<=5
12<x<oo
400
What is the equation of a line passing through the points (2,3) and (4,0)?
y=-3/2x+6
400
Write a system of equations for the following scenario:
Ryan is building bookshelves to sell at a furniture store. First, he built 2 small bookshelves and 8 large bookshelves, using a total of 538 nails. Thomas built 3 small bookshelves and 6 large bookshelves, using a total of 447 nails. How many nails does Ryan and Thomas use to build the shelves?
Be sure to define your variables and label your equations.
x= number of nails for a small bookshelf
y= number of nails for a large bookshelf
Ryan: 2x+8y=538
Thomas: 3x+6y=447
400
What is the difference in the rate of change in the two functions below?
Difference is 7.
500
What is the solution to the following system of equations?
2x+6y=30
x=-3y
No Solution
500
Identify an interval that is non-linear and decreasing.
-oo<x<=0
500
Calculate the equation for the following table:
y=2/3x-2
500
Write a system of equations for the following scenario:
The Frosty Ice-Cream Shop sells sundaes for $2 and banana splits for $3. On a hot summer day, the shop sold 8 more sundaes than banana splits and made $156.
Be sure to define your variables and label your equations.
x = number of sundaes
y = number of banana splits
3x+2y=156x=y+8
500
Solve the following equation.
2x+0.2=1/2(-2x+6.4)
x=1
600
The Frosty Ice-Cream Shop sells sundaes for $2 and banana splits for $3. On a hot summer day, the shop sold 8 more sundaes than banana splits and made $156. How many banana splits were sold? Sundaes?
36 sundaes and 28 banana splits
600
Name 3 values of x that will make this relation NOT a function.
{(10,9),(–2,–16),(–6,7),(5,8),(8,3),(___,4)}
Values of x includes:
-6, -2, 5, 8, 11600
What is the equation for the table below?
y=-8x+2
600
Solve the following system of equations:
At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54, not including tax. If the price of the math textbook, m, is $8 more than 3 times the price of the novel, n, Write and solve a system of linear equations could be used to determine the price of each book?
m = $ per math textbook
n = $ per novel
m+n=54m=3n+8
The novel cost $11.50.The math textbook cost $42.50.
600
Solve for x
0.07x+3(0.11x-4)=-3(0.2x-8/3)-x
x=10