Modeling with Linear Equations

Quiz
•
Mathematics
•
9th Grade
•
Hard
+7
Standards-aligned
Barbara White
FREE Resource
14 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
A pool contains 78 gallons of water and needs more water added. Water is added at a rate of 3 gallons per minute. Which equation represents the total gallons T of the water in the pool after m minutes?
Answer explanation
final amount = beginning amount + rate of change multiplied by time
Tags
CCSS.HSF-BF.A.1A
2.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
When the equation is solved for y, it is easy to determine how many pairs of mittens can be bought if we know how many hats are bought.
When the equation is solved for y, it is easy to determine how many hats can be bought if we know how many pairs of mittens are bought.
Answer explanation
It is helpful to write the order of the items in these types of problems where x and y are used as the variables.
In this problem, the order is (mittens, hats).
So when the equation is written y=____, it's the same as mittens=____.
Tags
CCSS.6.EE.C.9
3.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
$100 spent on hats and $125 spent on mittens
100 hats purchased and 125 pairs of mittens purchased
125 hats purchased and 100 pairs of mittens purchased
$100 spent on mittens and $125 spent on hats
Answer explanation
It is helpful to write the order of the items when the variables are x and y.
In this problem, the order is (mittens, hats).
Tags
CCSS.8.EE.C.8C
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Answer explanation
You can always find the y-intercept by setting x=0.
In this case,
y=17/2 + 3/2 times 0
y=17/2 + 0
y=17/2
Got it! (0,17/2)
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Answer explanation
Remember that when the equation is solved for y, then the slope will be the coefficient on x.
The negative sign on the 7/5 is showing us the coefficient on x is -7/5, so the slope is NEGATIVE 7/5.
slope = -7/5
Tags
CCSS.8.EE.B.5
6.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Answer explanation
Remember that when the equation is solved for y, then the slope will be the coefficient on x.
The coefficient is the number multiplied with the x.
Tags
CCSS.8.EE.B.5
7.
MULTIPLE SELECT QUESTION
3 mins • 1 pt
The coefficient of the x is the slope of the line.
This equation doesn't have a slope, since there is no fraction.
Answer explanation
The slope is sometimes a fraction -- but not always.
When the equation is solved for y, the slope is always the coefficient of the x.
So this equation will have slope of 4.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
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