Direct and Inverse Variation

Question 1

A student says that if 5x2 = 20, then x must be equal to 2. Do you agree or disagree with the student? Justify your answer.

Revolt · Accepted Answer

I disagree with the student. While 2 is a solution, it is not the only possible value for x. Dividing both sides of the equation 5x^2 = 20 by 5 results in x^2 = 4. According to the square root property, taking the square root of both sides gives x = 2 or x = -2. Therefore, x could be -2 as well.

Question 2

Compare your response with the sample response presented here. Did your explanation

Revolt · Accepted Answer

mention the square root property?; say that x could also be –2?

Question 3

Given (x – 7)2 = 36, select the values of x.

Revolt · Accepted Answer

x = 13; x = 1

Question 4

Given (x – 1)2 = 50, select the values of x.

Revolt · Accepted Answer

mr002-1.jpg; mr002-2.jpg

Question 5

from each side of the equation.

Revolt · Accepted Answer

72

Question 6

Take the square root of both sides to get the solutions ⇒ 8 .

Revolt · Accepted Answer

⇒ 8: 8 + 2√2i; Part 2: 2

Question 7

Write the equation so that a = 1: x2 + x =

Revolt · Accepted Answer

Part 1: -6; Part 2: -13

Question 8

Complete the square: x2 – 6x + = –13 +

Revolt · Accepted Answer

Part 1: 9; Part 2: 9

Question 9

Factor the trinomial and simplify: (x + )² =

Revolt · Accepted Answer

Part 1: -3; Part 2: -4

Question 10

The solution to x2 – 10x = 24 is .

Revolt · Accepted Answer

12 or –2

Direct and Inverse Variation Answers

More from this Course

TRY EDGENUITY HACKS