Inverse Variation and Square Roots
Interactive Video
•
Mathematics
•
7th - 10th Grade
•
Practice Problem
•
Hard
+3
Standards-aligned
Aiden Montgomery
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does it mean when y is inversely proportional to the square root of x?
y increases as the square root of x increases
y decreases as the square root of x increases
y is constant regardless of x
y is directly proportional to x
Tags
CCSS.HSF-LE.A.1B
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which equation represents y being inversely proportional to the square root of x?
y = k * sqrt(x)
y = k / x
y = k / sqrt(x)
y = k * x
Tags
CCSS.HSF-LE.A.1B
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If y = 15 when x = 7, how do you find the constant k?
Multiply 15 by the square root of 7
Divide 15 by the square root of 7
Add 15 and the square root of 7
Multiply 15 by 7
Tags
CCSS.6.EE.C.9
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the exact value of k when y = 15 and x = 7?
7 * sqrt(15)
15 / sqrt(7)
15 * sqrt(7)
15
Tags
CCSS.5.NBT.A.4
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
After rounding, what is the approximate value of k to three decimal places?
39.685
39.686
39.687
39.688
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you write the inverse variation equation using the rounded value of k?
y = 39.686 / sqrt(x)
y = 39.686 * sqrt(x)
y = 39.686 / x
y = 39.686 * x
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the next step after substituting x = 18 into the inverse variation equation?
Multiply 39.686 by 18
Divide 39.686 by 18
Multiply 39.686 by the square root of 18
Divide 39.686 by the square root of 18
Tags
CCSS.HSF.IF.A.2
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