Understanding Algebraic Equations

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.

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

• 38

• 24

• 14

• 19

Tags

CCSS.6.EE.C.9

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

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

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

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

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

• 14

• 38

• 19

• 24

Tags

CCSS.6.EE.B.7

If x is 19, what is the other number?

• 19

• 24

• 14

• 5

Tags

CCSS.1.NBT.C.4

CCSS.2.MD.B.6

What is the sum of the numbers 5 and 19?

• 14

• 19

• 38

• 24

Tags

CCSS.1.OA.A.1

How much less is the number 5 compared to 19?

• 5

• 14

• 19

• 24

Tags

CCSS.8.EE.C.7B

What is the purpose of verifying the solution in this problem?

• To confirm the solution meets the conditions

• To change the equation

• To simplify the numbers

• To find a new solution

Tags

CCSS.8.EE.C.7B