Question

1. Suzie had d DVDs. Her mother bought her 39 more DVDs.

2. Dave pays 10$ each month plus 2$ for every hour he practices in a music class. Write an expression to find the total amount paid for t hours

3. The cost to rent a party plot is $50. If the cost of food per person is 5$. Write an expression to find the total cost if there are n people invited for the party

4. If the side length of a square is x cm. Write an expression to find the perimeter of a square.

5. The cost of a pizza is 8$. If every extra topping costs $2, write an expression to find the total cost with n extra toppings

6. A phone company provider charges $25 as registration fee and $15 every month. Write an expression to find the total cost after t months

7. There are n hockey players. Write an expression to find the total number of hockey sticks if each player has 4 sticks

8. Let n represent any term number.
Write a relation for the term for each number pattern.

9. An equilateral triangle has three equal sides.
Write a relation for the perimeter of an equilateral triangle with side length k.
What is the perimeter of an equilateral triangle with side length 15 cm?

10. The cost of soccer jerseys for the soccer team is $50 for the initial set-up, plus $15 for each jersey ordered.
a) Write a relation for the total cost of j jerseys.
b) Another company charges $80 for the initial set-up, and $12 per jersey. Write a relation for the total cost of j jerseys for this company.
c) Which company would charge less if you ordered 12 jerseys?




11. Suggest a real-life situation that could be represented by each relation.
a) n + 7 is related to n

b) 4s + 5 is related to s



12. There are n students in the concert band.
Write a relation for each statement.
a) the total number of music stands, if each pair of students shares one stand


b) the total number of chairs, if there are 4 more chairs than students


c) the total number of sheets of music, if each student has 7 sheets


please. help meee :(((

Answer 1

1. The expression that represents the total number of DVDs Suzie has is d + 39

2. The expression for the amount Dave pays for t hours of practice in a month is 10 + 2 × t

3. The expression for the total cost for n people invited for the party is $50 + $5 × n

4. The expression for the perimeter of a square with side length, x is 4 × x

5. The expression for the total cost of pizza with n extra toppings is $8 + $2 × n

6. The expression for the total cost in phone charges after t months is $25 + t × $15

7. The expression for the total number of hockey sticks for n players is 4 × n

8. The relation that represent the term for each number pattern is given as follows;

Value = nth term of number

9. The relation for the perimeter of an equilateral triangle with side length k is given as follows;

Perimeter of an equilateral = 3 × Side length

∴ Perimeter of the given equilateral triangle = 3 × k

When k = 15, we have;

Perimeter of the equilateral triangle = 3 × 15 cm = 45 cm

10. a) The relation for the total cost of j jersey is $50 + $15 × j

b) The relation for the total cost of j jersey by the other company is $80 + $12 × j

c) The charges for 12 jerseys by the first company is $50 + $15 × 12 = $230

The charges for 12 jerseys by the first company is $80 + $12 × 12 = $224

Therefore, the second company will charge less if 12 jerseys are ordered

11. The real life situation that could be represented by each relation are;

a. n + 7

For every mass in grams of goods bought, n, we get a 7 gram mass of packaging

b. 4s + 5

The distance from a point covered by jogging at 4 m/s after s seconds while starting at 5 meters away from the point in the direction of jogging

12. a) The relation for the total number of music stand is n/2

b) The relation for the total number of chairs is n + 4

c) The relation for the total number of sheets of music is 7 × n

Explanation: