Algebra

Question 1 of 10

Solve the simultaneous equations x + y = 5 and x² + y² = 13.

Question 2 of 10

Make r the subject of A = P(1 + r/100)ⁿ.

Question 3 of 10

Solve (x + 1)/3 = (x − 1)/2.

Question 4 of 10

The sum of two numbers is 15 and the sum of their squares is 113. Find the numbers.

Question 5 of 10

Solve x² − 4x − 1 = 0, correct to 2 decimal places.

Question 6 of 10

Find the range of values of x for which x² − x − 6 < 0.

Question 7 of 10

Find the value of k if x² + kx + 9 is a perfect square (k > 0).

Question 8 of 10

Solve x² − 4x − 12 = 0.

Question 9 of 10

If y varies inversely as x² and y = 4 when x = 3, find y when x = 6.

Question 10 of 10

Find k if (x − 2) is a factor of x² + kx − 10.