Mathematics

Question 1

1Solve the simultaneous equations 2x − 4y = −26 and 2x + 5y = 46.

Hard

A. x = 8, y = 3 B. x = 3, y = 8 C. x = −3, y = 8 D. x = 4, y = 7

Question 2

2In the elimination method you

Easy

A. multiply the unknowns B. guess the answers C. draw a pie chart D. add or subtract the equations to remove one unknown

Question 3

3Solve the simultaneous equations 5x + 5y = 10 and x + 4y = −4.

Hard

A. x = −4, y = −2 B. x = 4, y = −2 C. x = 5, y = −3 D. x = −2, y = 4

Question 4

4Solve the simultaneous equations 3x − y = −8 and 2x − 3y = −17.

Hard

A. x = 1, y = 5 B. x = 5, y = −1 C. x = −1, y = 5 D. x = 0, y = 4

Question 5

5Solve 2x + y = 7 and x = 2.

Easy

A. y = 3 B. y = 2 C. y = 5 D. y = 11

Question 6

6If x + y = 16 and x − y = 6, then x = ___.

Easy

Your answer (fill in the blank)

Question 7

7To eliminate y from 3x + 2y = 12 and x − y = 1, you can

Medium

A. multiply the second equation by 2 and add B. subtract 12 C. multiply the first equation by 3 D. divide by y

Question 8

8Solve the simultaneous equations 5x − y = 26 and 2x + 5y = 5.

Hard

A. x = −1, y = 5 B. x = 5, y = −1 C. x = −5, y = −1 D. x = 6, y = −2

Question 9

9x = 3, y = 1 satisfies both x + y = 4 and x − y = 2.

Easy

A. True B. False

Question 10

10If x + y = 13 and x − y = 9, then x = ___.

Easy

Your answer (fill in the blank)