Solving with Graphing
Solving with Algebra
How many solutions?
Word Problems
Mystery
100
How many solutions does this system of equations have?
What is 1.
100
What is the solution to this system of linear equations? (Hint: One of the values is already given to you)
What is (0,-5)
100
In the equation below, what is the way that you can tell there are no solutions without solving the problem?
5x + 7 = 5x + 1
What is the fact that the coefficients are the same but the constants are different.
100
In the word problem below, what would be the "let statements"? (You do not need to solve).
You and a friend go to Tacos Galore for lunch. You order three tacos and three burritos and your total bill is $11.25. Your friend's bill is $10.00 for four tacos and two burritos. How much do tacos cost? How much do burritos cost?
What is
Let x be the cost of a taco
Let y be the cost of a burrito
100
When we say "System of equations", what does the word "system" mean?
What is at least 2 equations.
200
What is the solution to this system of linear equations?
What is (3,5)
200
What is the solution to this system of linear equations?
What is (2,-1)
200
Solve for x.
x = 5
200
What would the "let statements" be as well as the equations for the following word problem?
"Wendy had 35 coins in pennies and nickels. She had $1.03 total. How many of each coin does she have?"
Let p be the number of pennies
Let n be the number of nickels
200
There are 3 different types of solutions to systems of equations. What are they?
What is 1, none, or infinitely many solutions.
300
This system of equation has _________ solutions.
What is none, 0, or no solutions.
300
What is the solution to this system of equations?
What is (1,2)
300
How many solutions does this equation have?
What is infinitely many solutions.
300
The perimeter of a garden is 150 feet. The length is 7 feet more than the width. What is the system of equations that could be used to determine the dimensions of the garden?
What is
2L + 2W = 150L = 7 + W
300
When solving an equation, how can you tell that there will be infinitely many solutions? Give an example.
What is the coefficients and the constants are the same.
Ex:
6x - 7 = 6x - 7
400
In this system of equations, there are ___________ solutions.
What is "infinitely many"
400
What is the solution to this system of equations?
What is infinitely many solutions.
400
What is the solution to this equation?
What is x = 0.
400
All 231 students in the Math Club went on a field trip. Some students rode in vans which hold 7 students each and some students rode in buses which hold 25 students each. How many of each type of vehicle did they use if there were 15 vehicles total?
What is 8 vans and 7 busses.
400
Name the two types of linear equations we have learned this year.
y = mx+b is called _________.
ax+by=c is called __________.
What is
y = mx+b is called slope-intercept form.
ax+by=c is called standard form.
500
In a system of equations that have no solutions, what word can be used to describe the lines on the graph? For example, "the lines are _______."
What is parallel.
500
What is the solution to this system of equations?
What is "no solution".
500
What is the solution to this equation?
What is n can be any real number (or there are infinitely many solutions).
500
A farmhouse shelters 11 animals. Some are goats and some are ducks. Altogether there are 34 legs. How many of each animal are there?
What is 5 ducks and 6 goats.
500
In slope-intercept form (y=mx+b), what does the "b" represent on a graph?
In slope-intercept form, the "b" is the y-intercept, or where the line crosses the y-axis.