Is (6, 9) a solution to the system y = 4x - 15 AND y = 1/2x - 3?
No, even though (6, 9) is true for the first equation, 9 does not equal 1/2(6) - 3.
100
The overlapping of colors of a system of inequalities represents this
What is the possible ordered pairs (solutions, answers) to all inequalities at the same time (simultaneously)
100
Could this situation happen at the same florist? Explain your answer. "10 roses and 15 tulips were sold for $35. 2 roses and 3 tulips were sold for $8."
No, because when I solved the system, I got 0 = -5, which is not true. Therefore, the original sentence could never be true.
100
What does function notation really mean?
What is to replace the "y" variable with a function name and the independent variable, such as f(x)
200
How to graph a line
What is make a T-chart (or use slope-intercept form)
200
Solve the system: y = -4x + 32
y = x - 3
What is x = 7 and y = 4 OR (7, 4)
200
Why is the boundary line not included in the inequality y > 2x + 4
Because the inequality sign is strictly "greater than." The ordered pairs found on the line represent those things that are "equal to."
200
Describe the graph of the following system:
5 = 2A + 7B
10 = 4A + 14B
What is the graph is one line (the two lines coincide or overlap)
200
c(x) = 1/2x - 5. Evaluate c(22).
c(22) = 6
1/2(22) - 5
300
A set of mathematical sentences joined by the word and (or using a left-handed curly bracket)
What is a system
300
The Reid family went to a restaurant, ordered 3 burgers and 4 small fries. Their bill was $21.30. The Millers ordered 5 burgers and 2 small fries at the same restaurant. Their bill was $22.90. What was the cost of an order of fries?
A small order of fries is $2.70
300
Graph the solution to the following system of inequalities:
x > 0
y > 0
x + y < 2
See answers, the overlap should look like a triangle with vertices at (0,0), (0,2), and (2,0)
300
Describe the graphs of this system
y = 2x + 7
y = 2x - 3
What is the lines are parallel (the slope is the same).
300
Suppose h(2) = -6. What can you conclude?
The ordered pair (2, -6) is found on the line graphed by function h.
400
What are the two main ways to write the solution to a system of equations?
As an ordered pair or by naming the variables individually (x=2, y=-1)
400
Renting a car at Sav-A-Lot is $39 plus $.10 per mile. Renting a car from Show Me the Money costs $22.95 plus $.25 per mile. At what distance (how many miles) will the two rental companies charge the same?
107 miles
400
The shading of 10x - 3y > 60 would go in this direction.
What is up (and to the left)?
400
When will the following system have one solution? How do you know?
y = mx + 3
y = mx + 4
What is when m is NOT the same number (if m is the same number, then the lines would be parallel)
400
Is the following a function? How do you know?
{(2,2), (4,4), (6,6), (7,7), (0,1), (2,4)}
No, the x-coordinate of 2 has two different y-coordinates, 2 and 4.