Mastering Word Problems with Linear Equations

The video tutorial explains how to convert word problems into mathematical equations. It covers three examples: determining age relationships, comparing quantities of pens and calculators, and solving a rectangle's perimeter problem. The tutorial emphasizes using variables and equations to simplify and solve these problems, providing step-by-step guidance for each example.

If Charlie is twice as old as Dave, and Charlie's age is represented by C and Dave's age by D, which equation correctly represents this relationship?

• C = 2D

• C = D + 2

• C = D / 2

• C = D - 2

In the equation A = B + 5, what does A represent?

• The number of pens left

• The number of pens Ben bought

• The number of pens Armor bought

• The number of pens both bought together

What is the correct way to write the equation for the number of pens Armor bought if it is 5 more than the number of pens Ben bought?

• A = B / 5

• A = 5B

• A = B - 5

• A = B + 5

If Zara sold thrice as many pens as calculators, and the number of pens is represented by P and calculators by C, which equation correctly represents this relationship?

• P = C - 3

• P = C / 3

• P = C + 3

• P = 3C

If the number of calculators Zara sold is 10, how many pens did she sell if she sold thrice as many pens as calculators?

• 40 pens

• 30 pens

• 20 pens

• 10 pens

If the length of a rectangle is 2 more than its breadth, and the breadth is represented by X, which equation represents the length?

• L = X / 2

• L = X + 2

• L = 2X

• L = X - 2

Given the perimeter of a rectangle is 16 units, and the length is 2 more than the breadth, which equation represents the perimeter?

• 2L + B = 16

• 2(L + B) = 16

• L + 2B = 16

• L + B = 16

If the breadth of a rectangle is 3 units and the length is 2 more than the breadth, what is the length?

• 3 units

• 5 units

• 6 units

• 4 units

What is the value of X if the perimeter of a rectangle is 16 units, the length is X + 2, and the breadth is X?

• 2 units

• 3 units

• 5 units

• 4 units

If the length of a rectangle is 5 units and the breadth is 3 units, what is the perimeter?

• 13 units

• 15 units

• 16 units

• 14 units