Bounds: Finding the Upper Bound for the Value of an Algebraic Equation

Bounds: Finding the Upper Bound for the Value of an Algebraic Equation

Assessment

Interactive Video

Mathematics, Science

10th - 12th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to solve a bounds question involving the calculation of upper and lower bounds for given values P, Q, and T. It demonstrates how to find the upper bound for a derived value 'a' by using the upper bound of P and the lower bounds of Q and T. The tutorial emphasizes the importance of understanding the placement of digits in different columns and how to adjust them to find bounds. It concludes with a discussion on the marks allocation for the problem.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main focus of the problem statement discussed in the video?

Calculating the average of numbers

Finding the upper bound of a value

Solving a quadratic equation

Determining the median of a dataset

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which column requires adding or subtracting 0.5 to find bounds?

Units

Tens

Thousandths

Hundreds

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you calculate the upper bound for a value in the tenths column?

Add 0.5

Subtract 0.05

Add 0.05

Subtract 0.5

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the upper bound for the value P = 8.4?

8.40

8.35

8.45

8.50

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which value of T should be used to find the upper bound of the expression?

Exact value of T

Average of upper and lower bounds of T

Lower bound of T

Upper bound of T

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final upper bound value of 'a' rounded to one decimal place?

8.5

8.3

8.2

8.4

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which step is crucial for achieving the largest possible value of the expression?

Using the exact values for P, Q, and T

Using the upper bound for Q

Using the upper bound for P and lower bounds for Q and T

Using the lower bound for P

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