Vocabulary
Inf. Solutions Definition is:
When a system of equations has a non-ending number of solutions. OR, on a graph, the lines are overlapping.
Orion bought 5 packs of bottled water[b] and 2 packs of Gatorade[g] for $47. The following month, he came back and bought another 5 packs of water, and 6 packs of Gatorade for $107. How much is one pack of water, and one pack of Gatorade?
b=7
g=12
When two lines are paralell(They'll never touch), That means that they have ____ solutions.
zero
y=5x+19
What are the X and Y intercepts?
X=4.9
Y=19
In a perfect square, all sides must be...
Equal
X and Y intercepts are:
The points on a graph where the line crosses the X and/or Y axis.
Sarah is selling bracelets and necklaces at a craft fair. She sells bracelets for $8 each and necklaces for $12 each. By the end of the day, she has sold 15 items and made $148 in total sales.
How many bracelets and necklaces did Sara sell?
8 bracelets and 7 necklaces.
An inconsistient system is when a set of ____________ have no common ________.
inequalities, solution
y=9x-70
What are the X and Y intercepts?
X=7.9
Y=-70
When focusing an algebraic expression,
Ex: 3(x-5)=16(x+8)
You need to balance both sides, so, what you do to one side, ________________________.
Inconsistent Systems are:
When a set of inequalities have no common solutions.
Joshua and Gabriel went to the supermarket for some snacks, they got 4 packs of skittles{s} and 1 family sized pack of m&m's{m} for $17. Hazel and Frank went the next day, and they got 4 packs of skittles, and 3 packs of m&m's for $27. How much is one pack of m&m's worth? And how much is one pack of skittles worth?
s=3
The point where two lines cross on a graph represents the _________ to the system of equations. This point gives the values of the variables that satisfy _________ equations at the same time.
solution, both
y=5.9x-5
What are the X and Y intercepts?
X=0.9
Y=-5
When I do the opposite of the operation that's happening in an equation
Inverse operation(Im sorry I couldn't describe it very well without giving it away)
A simultanious equation is:
A set of two algebraic equations that contain multiple shared variables.
A school is hosting a fundraiser by selling tickets for a concert. Student tickets cost $5 each, and adult tickets cost $10 each. The total number of tickets sold was 200, and the total amount of money raised was $1,500.
How many solutions does this probelm have?
None
If two lines on a graph never intersect, this means the system of equations has _________ solution(s), and the equations are called _________.
zero/no, inconsistent
y=-10x+17
What are the X and Y intercepts?
X=1.7
Y=17
The number connected to a variable?
Coefficient
A system of linear equations are:
The collection of two or more linear equations that involve the same variable in their problems.
Regena was weighing her fruits. first, she weighed 4 apples(a), and 2 mini oranges(o) for 990g. She then weighed 6 apples and 3 mini oranges for 1485g. How much does a singular fruit of each weigh in grams?
a=210
a=75
On a graph, if two lines overlap completely (are the same line), the system is said to have __________ many solutions. This means every point on the line is a(n) __________ to the system.
infinitely, solution
y=27x-77
What are the X and Y intercepts?
X=2.9
Y=-77
Thanks for answering these bonus questions, are you having fun?
Free points for everyone, (its an opinion question)hope you enjoyed!!!