7a. General Word Problems

Question 1

When tackling an age problem, in what timeframe should you define the age variables as?

Answer 1

Define as the PRESENT time

Question 2

Express this information in the most efficient way (and solve):

Answer 2

Use the MATRIX to have a good overview !

Question 3

What is important to remember when working out length problems?

Answer 3

Express the lengths as different variables

eg.
x + y = 30
x = y - 5 (this is the equation for the smaller part)

Question 4

Explain how you would solve this:

Answer 4

Question 5

What is the equation answering “total cost” using “cost per item” and “# of items purchased”?

Answer 5

TOTAL COST = Cost per Item X Items purchased

Question 6

Fill this formula using “total cost” and “price per item”

Answer 6

Question 7

How would you set up these equations?

Answer 7

C = 20 (remember, only take the positive answer as a negative price is impossible).

Question 8

Explain how you would set up the system of equations for this problem:

Answer 8

Question 9

What is the “PROFIT” equation?

Answer 9

Profit = TR - TC

Question 10

What is the “PROFIT” equation? (using variable and fixed costs)

Answer 10

Profit = TR - (FC + VC)

Question 11

Explain how you would set up the system of equations for this problem:

Answer 11

Question 12

Explain how you would set up the system of equations for this problem:

Answer 12

Question 13

Solve this:

(how would you express the equations?)

Answer 13

Question 14

If two people work at different wages, and the question asks how much one has to transfer to the other to equalize the wages. What formula should you remember?

Answer 14

Question 15

How should you tackle this?

Answer 15

WATCH OUT, multiply to get the fraction that is consumed, and then subtract it from remaining to get the new remaining.

Question 16

If we begin with x amount of anything and subtract 1/y of that amount, what remains?

Answer 16

Question 17

Answer the following:

Answer 17

Question 18

Answer the following:

Answer 18