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Understanding Percentages and Algebraic Concepts

Understanding Percentages and Algebraic Concepts

Assessment

Interactive Video

Mathematics

8th - 12th Grade

Practice Problem

Hard

CCSS
6.RP.A.3C, 7.EE.B.4A, 5.NF.B.5B

+2

Standards-aligned

Created by

Jackson Turner

FREE Resource

Standards-aligned

CCSS.6.RP.A.3C
,
CCSS.7.EE.B.4A
,
CCSS.5.NF.B.5B
CCSS.7.EE.A.1
,
CCSS.6.EE.B.7
,
The video tutorial presents an SAT-style percentage question, highlighting the common mistake of misinterpreting the phrase 'increasing by 400%' as simply 400% of X. The correct approach is explained, showing that increasing by 400% means adding 400% of X to the original X, resulting in 5X = 60. The solution is then derived as X = 12. The video concludes with a reference to additional practice questions.

Read more

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main characteristic of SAT Math questions mentioned in the video?

They are easy to solve.

They are known for their trickiness.

They are straightforward.

They are always about geometry.

Tags

CCSS.6.RP.A.3C

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the common mistake students make when solving the percentage question?

They think increasing by 400% is the same as 400% of the quantity.

They forget to convert percentages to decimals.

They add instead of multiplying.

They use the wrong formula.

Tags

CCSS.6.RP.A.3C

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do students incorrectly interpret 'increasing by 400%'?

As adding 400 to the quantity.

As multiplying the quantity by 4.

As taking 400% of the quantity.

As subtracting 400 from the quantity.

Tags

CCSS.5.NF.B.5B

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the correct interpretation of 'increasing by 400%'?

Subtracting 400 from the quantity.

Adding 400% of the quantity to the original quantity.

Multiplying the quantity by 4.

Adding 400 to the quantity.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving the percentage question correctly?

Divide 60 by 4.

Multiply X by 4.

Convert 400% to a decimal.

Write down the original quantity X.

Tags

CCSS.7.EE.A.1

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What do you get when you combine like terms in the equation X + 4X?

3X

4X

6X

5X

Tags

CCSS.6.EE.B.7

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final value of X after solving the equation 5X = 60?

10

12

15

20

Tags

CCSS.7.EE.B.4A

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