Systems: Word Problems

Flashcard
•
Mathematics
•
8th - 9th Grade
•
Hard
+5
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear equation?
Back
A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
2.
FLASHCARD QUESTION
Front
What does it mean to break even?
Back
Breaking even means that total revenues equal total costs, resulting in neither profit nor loss.
3.
FLASHCARD QUESTION
Front
How do you represent a cost function for a service with a fixed fee and a variable cost?
Back
The cost function can be represented as C(x) = fixed fee + (variable cost per unit * x), where x is the number of units.
Tags
CCSS.HSF.LE.B.5
4.
FLASHCARD QUESTION
Front
What is the slope in a linear equation?
Back
The slope (m) represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is.
Tags
CCSS.8.EE.B.5
5.
FLASHCARD QUESTION
Front
What is the y-intercept in a linear equation?
Back
The y-intercept (b) is the value of y when x is 0. It is the point where the line crosses the y-axis.
6.
FLASHCARD QUESTION
Front
How do you set up an equation to compare costs from two different companies?
Back
Set the cost equations of both companies equal to each other to find the number of units where costs are the same.
Tags
CCSS.8.EE.C.8C
7.
FLASHCARD QUESTION
Front
What is a system of equations?
Back
A system of equations is a set of two or more equations with the same variables. Solutions to the system are the values that satisfy all equations simultaneously.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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