Core Mathematics

Question 1

1If 2x + y = 29 and x − y = 7, then x = ___.

Medium

Your answer (fill in the blank)

Question 2

2If 2x + y = 12 and x − y = 0, then x = ___.

Medium

Your answer (fill in the blank)

Question 3

3A pair of linear simultaneous equations represents two straight lines.

Easy

A. True B. False

Question 4

4Solve: 5x − 3y = −29 and 4x + 4y = −4.

Hard

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

Question 5

5If 2x + y = 29 and x − y = 10, then x = ___.

Medium

Your answer (fill in the blank)

Question 6

6Solve: 4x − 2y = −14 and 4x − 3y = −21.

Hard

A. x = 0, y = −7 B. x = 1, y = 8 C. x = 0, y = 7 D. x = 7, y = 0

Question 7

7Solve: 4x + 3y = 46 and x + y = 13.

Hard

A. x = 8, y = 7 B. x = 7, y = 6 C. x = −7, y = 6 D. x = 6, y = 7

Question 8

8Solve y = x² and y = 4.

Medium

A. x = 16 B. x = 2 or x = −2 C. x = 4 D. x = 2 only

Question 9

9A linear and a quadratic equation can have two solutions.

Medium

A. True B. False

Question 10

10Parallel lines give infinitely many solutions.

Medium

A. True B. False