Simultaneous Equations Quiz (2A)

Alex bought 3 tins of paint and 4 brushes at a total cost of £23.

Brian bought 2 tins of paint and 3 brushes at a total cost of £16.

Calculate the price of a single tin of paint.

(write just the value, so for example, if you think the answer is £16.50, you can just write 16.50)

Alex bought 3 tins of paint and 4 brushes at a total cost of £23.

Brian bought 2 tins of paint and 3 brushes at a total cost of £16.

Calculate the price of a single brush.

(write just the value, so for example, if you think the answer is £16.50, you can just write 16.50)

Give your answer as a coordinate, such as (-1,2)

Solve algebraically the simultaneous equations, and give one of the three possible solutions for:

x² + y² = 25

y − 2x = 5

Give your answer as a coordinate in the format (x,y) with no spaces in between values

Solve algebraically the simultaneous equations, and give a different of the three possible solutions to the previous question for:

x² + y² = 25

y − 2x = 5

Give your answer as a coordinate in the format (x,y) with no spaces in between values

Solve algebraically the simultaneous equations, and give a different of the three possible solutions to the previous question for:

x² + y² = 25

y − 2x = 5

Give your answer as a coordinate in the format (x,y) with no spaces in between values

The prices of two phones are in the ratio x : y.

When the prices are both increased by £20, the ratio becomes 5 : 2.

When the prices are both reduced by £5, the ratio becomes 5 : 1.

Express the ratio x : y in its lowest terms.

Solve.

4x + 3y = 5

2x + 3y = 1

Give your answer as a coordinate in the form (x,y) with no spaces

Eddie and Caroline are going to the school play.

Eddie buys 6 adult tickets and 2 child tickets. He pays £39.

Caroline buys 5 adult tickets and 3 child tickets. She pays £36.50.

Work out the cost to buy a single adult ticket and a single child ticket.

(Write just the value of the answer, so for £36.50 you can write just 36.50)

2x + 3y = 15.5

x + y = 6

Work out the values of 5x - 3y