Understanding Algebraic Equations

Understanding Algebraic Equations

Assessment

Interactive Video

Mathematics

5th - 7th Grade

Practice Problem

Hard

CCSS
6.EE.B.7, 8.EE.C.7B, 6.EE.C.9

+5

Standards-aligned

Created by

Lucas Foster

FREE Resource

Standards-aligned

CCSS.6.EE.B.7
,
CCSS.8.EE.C.7B
,
CCSS.6.EE.C.9
CCSS.HSA.CED.A.3
,
CCSS.7.EE.B.4A
,
CCSS.1.NBT.C.4
,
CCSS.1.OA.A.1
,
CCSS.2.MD.B.6
,
The video tutorial explains how to find two numbers whose sum is 24, with one number being 14 less than the other. By letting x represent one number, the tutorial sets up an equation x + (x - 14) = 24. It then demonstrates solving the equation to find x = 19, and subsequently calculates the other number as 5. The tutorial concludes by verifying the solution, ensuring the sum is 24 and the difference is 14.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the total sum of the two numbers mentioned in the problem?

38

24

14

19

Tags

CCSS.6.EE.C.9

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If one number is 14 less than the other, how can we express this relationship using x?

x + 14

x - 14

14 - x

x / 14

Tags

CCSS.HSA.CED.A.3

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What equation represents the sum of the two numbers?

x + 14 = 24

x - (x + 14) = 24

x - 14 = 24

x + (x - 14) = 24

Tags

CCSS.6.EE.B.7

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving the equation x + (x - 14) = 24?

Multiply both sides by 2

Add 14 to both sides

Simplify to 2x - 14

Subtract 14 from both sides

Tags

CCSS.7.EE.B.4A

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After simplifying the equation to 2x - 14, what should be done next?

Subtract 14 from both sides

Add 14 to both sides

Divide by 2

Multiply by 2

Tags

CCSS.6.EE.B.7

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of x after solving the equation 2x = 38?

14

38

19

24

Tags

CCSS.6.EE.B.7

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If x is 19, what is the other number?

19

24

14

5

Tags

CCSS.1.NBT.C.4

CCSS.2.MD.B.6

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