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1) a)

b)

I earnt £68

c)

I sold 7 suits

2) a)

b)

I earn £1,590

c)

I earn £1,270

d)

I sold 4 premium cars and 8 budget cars.

3) a)

b)

It costs £132

c)

I drove 35 miles in the car

**Algebraic Formula: Quiz 2 - Answers**1) a)

*e*= 10*h*+ 3*s*b)

*e*= 68I earnt £68

c)

*s* = 7I sold 7 suits

2) a)

*e*= 1000 + 20*b*+ 50*p*b)

*e*= 1590I earn £1,590

c)

*e*= 1270I earn £1,270

d)

*a*= 4I sold 4 premium cars and 8 budget cars.

3) a)

*c*= 20*d*+ 0.4*m*b)

*c*= 132It costs £132

c)

*m = 35*I drove 35 miles in the car

**Working**

**Questions**

1) I work in a suit shop. I get paid £10 per hour that I work and £3 for every suit that I sell.

- Write an expression for the amount that I earn in a shift. Let
*e*be my earnings (in £),*h*be the hours that I work, and*s*be the number of suits that I sell - Find how much money I earn if I work for 5 hours and sell 6 suits
- I worked a 4-hour shift and earnt £61. How many suits did I sell?

2) I am a car sales man. I get paid a monthly salary of £1,000. I get a commission of £20 for each budget car that I sell. I get a commission of £50 for every premium car that I sell.

- Write an expression for the amount of money that I earn each month. Let
*e*by my earnings each month (in £),*b*be the number of budget cars that I sell and*p*be the number of premium cars that I sell. - Find out how much I make if I sell 12 budget cars and 7 premium cars.
- Find out how much money I make if I sell 3 premium cars and twice as many budget cars.
- I earn £1,360. I sell twice as many budget cars as I do premium cars. How many budget cars and premium cars do I sell?

3) I hire a car. I pay £20 per day that I hire the car and 40p for each mile that I drive.

- Write down an expression for the cost of the car. Let the cost of the car (in pounds) be
*c*, the number of days be*d*and the number of miles be*m*. - Find out how much it is to hire the car for 5 days and to drive 80 miles.
- I hire the car for 3 days. It cost me £74. How many miles did I drive?