Vocabulary
Solve Systems
Graphically
Graphically
Solve Systems
Algebraically
Algebraically
Model
with Systems
with Systems
Inequalities
(<,≤,>,≥)
(<,≤,>,≥)
100
Set of two or more equations with the same variables.
system of equations
100
Find the solution to the system of linear equations.
(2,4)
100
Solution to the system of equations 3x+5y=8 and 4x+3y=7 if
(1,y)
(1,1)
100
Explain (in words) what the solution (3, 8) means in the context of the situation.
If you travel 3 miles in either the blue or the yellow cab, the price will be the same...$8.
100
True or False. The ordered pair (-1, -1) is a solution to this system of inequalities.
False.
It is a solution to the BLUE inequality, but not the GREEN inequality (the lines is dashed, so the values along it are not included).
200
The point where two graphs intersect.
solution
200
Graph the lines to find the solution to the system.
y=2/3x-7
and
y=3x
(-3,-9)
200
Find the solution to the system of equations
2x+y=-8
and
y=x+1
(-3,-2)
200
Write a system of equations for the situation.
There are 2 delivery companies. Dewa’s Delivery charges 10 cents per km and charges a flat fee of 15 dollars. Valeria’s Vehicles charges 20 cents per km and charges a flat fee of 8 dollars. For what number of kilometers would both companies charge the same amount?
y=0.1x+15
and
y=0.2x+8
200
Write the inequality that created this graph.
y<=-x-6
300
Two lines with the same slope and different y-intercepts are _____________ .
parallel
300
Graph the lines to find the solution to the system.
y=5-1/2x
and
2x+4y=8
No solution.
The lines are parallel...have the same slope, but different y-intercepts.
300
Find the solution to the system.
5x+3y=-19
and
8x+3y=-25
(-2,-3)
300
Write a system of equations for this situation.
Muji wants to invest in the stock of two companies, a technology company and a drug company. After some Google searching, Muji finds out that technology stock cost $25 per share and drug stock costs $15 per share. Muji wants the same amount of each kind of stock and intends to invest $3000.
25t+15d=3000
and
t=d
300
Give ANY solution to the system of inequalities.
y<2x+5
and
y>=-x-1
(infinite possible student responses)
400
Symbols that show two expressions are not equal to each other.
inequalities
400
Find the solution to this system.
(10,-22)
400
Find the solution to the system.
x+3y=8
and
2x-y=9
(5,1)
400
Write a system of inequalities for the following situation.
A cupcake requires 35 grams of sugar and 50 grams of flour, and a muffin requires 30 grams of sugar and 65 grams of flour.
Emily needs to use up at least 460 grams of sugar to make cupcakes and muffins, and she wants to use at most 970 grams of flour.
Inequality for Sugar
35c+30m>=460
Inequality for Flour
50c+65m<=970
400
Write the inequality symbols that would make (8, -1) a solution to the system and (2, 2) would not be a solution to either inequality.
y ___ -3x + 8 and y ___ 0.75x - 7
y> -3x+8
y<=0.75x-7
500
What letter is NOT in any of the US state names?
Q
500
What is the largest organ of the human body?
skin
500
How many people have walked on the moon?
12 people
500
List the 5 colors of the Power Rangers.
yellow, black, pink, red, blue
500
How many amendments to the US constitution are there?
27