Working with simultaneous equations test questions

1

Solve this pair of simultaneous equations:

\[3x + y = 7\]

\[3x - y = 5\]

2

Solve this pair of simultaneous equations:

\[3x + 2y = 4\]

\[2x + y = 3\]

3

Solve this pair of simultaneous equations:

\[5x + 2y = 20\]

\[x + 4y = 13\]

4

Substitute y = 4 into the following equation: 4x + 2y = 52. What is the value of x?

5

Two simultaneous equations are given as 2x + y = 5 and 3x + y = 7. Find the value of x and y.

6

Two simultaneous equations are given as: 6x - 2y = 15 and 4x + 3y = -3. Which of the following can NOT be used to solve the equations?

7

Two sandwiches and a juice cost £3.40. Four sandwiches (s) and three juices (j) cost £7.20. Which simultaneous equations show this information?

8

Two sandwiches and a juice cost £3.40. Four sandwiches and three juices cost £7.20. What is the cost of a juice?

9

Two sandwiches and a juice cost £3.40. Four sandwiches and three juices cost £7.20. What is the cost of a sandwich.

10

Two simultaneous equations are given as y = x + 4 and y = x2 + 4x. Which of these are NOT a solution point for the equations?