Unit test

Google Classroom

Problem

Eiko is wearing a magic ring that increases the power of her healing spell by $30\%$30, percent. Without the ring, her healing spell restores $H$H health points.

Which of the following expressions could represent how many health points the spell restores when Eiko is wearing the magic ring?

Choose 2 answers:

Choose 2 answers:

• (Choice A, Incorrect)

  INCORRECT

  $0.7H$0, point, 7, H

  This would represent the health points if Eiko's ring decreased the power of the healing spell.
• (Choice B, Checked, Correct)

  CORRECT (SELECTED)

  $\dfrac{130}{100}H$start fraction, 130, divided by, 100, end fraction, H
• (Choice C, Checked, Correct)

  CORRECT (SELECTED)

  $\left(\dfrac{3}{10}+1\right)H$left parenthesis, start fraction, 3, divided by, 10, end fraction, plus, 1, right parenthesis, H
• (Choice D, Incorrect)

  INCORRECT

  $H-0.30H$H, minus, 0, point, 30, H

  This would represent the health points if Eiko's ring decreased the power of the healing spell.
• (Choice E, Incorrect)

  INCORRECT

  $30+H$30, plus, H

  $30\%$30, percent means $30$30 per hundred, which we can write as $0.30$0, point, 30, not as $30$30. Also, we can only add like units, so adding a percent to a number of health points would not be meaningful.

Hint #11 / 5

The healing spell restores $\maroonD{H}$start color #ca337c, H, end color #ca337c health points normally, and with Eiko's ring, the spell restores $30\%$30, percent more health points.

The healing spell restores $\greenD{30\%\cdot H}$start color #1fab54, 30, percent, dot, H, end color #1fab54 more health points with the ring than without it.

Hint #22 / 5

That means the healing spell restores $\greenD{30\%\cdot H}+\maroonD{H}$start color #1fab54, 30, percent, dot, H, end color #1fab54, plus, start color #ca337c, H, end color #ca337c health points with the ring.

Hint #33 / 5

Because $30\%$30, percent means $30$30 per hundred, we can write it in equivalent forms.

$\begin{aligned} 30\%&=\dfrac{30}{100}\\\\ &=\dfrac{3}{10}\\\\ &=0.3 \end{aligned}$

Hint #44 / 5

Let's find equivalent ways of writing the number of health points the spell restores when Eiko wears her ring.

$\begin{aligned} \blueD{30\%}\cdot H+H&=\blueD{\dfrac{3}{10}}H+H\\\\ &=\left(\blueD{\dfrac{3}{10}}+1\right)H\\\\ &=\left(\blueD{\dfrac{30}{100}}+1\right)H\\\\ &=\dfrac{130}{100}H \end{aligned}$

Hint #55 / 5

The expressions $\left({\dfrac{3}{10}}+1\right)H$left parenthesis, start fraction, 3, divided by, 10, end fraction, plus, 1, right parenthesis, H and $\dfrac{130}{100}H$start fraction, 130, divided by, 100, end fraction, H each could represent how many health points the spell restores when Eiko is wearing the magic ring.