Algebra and Equations Questions and Answers

The table shows the results of the games played by the Gweru Giraffes last season and the points awarded in the League Table.

The table shows the results of the games played by the Gweru Giraffes last season and the points awarded in the League Table.

Solve the inequality $-7 < 2 - 3x \leq 5$.

The lines y = 100 and 10x + 7y = 2000 are drawn on the same axes. Calculate the coordinates of the point where they cross.

The lines y = 1 and x + y = 5 are drawn on the same axes. Calculate the coordinates of the point where they cross.

The lines x = 20 and x = 2y are drawn on the same axes. Calculate the coordinates of the point where they cross.

The lines y = x and x + y = 60 are drawn on the same axes. Calculate the coordinates of the point where they cross.

(b) Find the Highest Common Factor (H.C.F) of 2^3 x 3^2 x 5 x 7^4, 2^3 x 3^3 x 5^2 x 7^2, 2^4 x 3 x 5 x 7^3, leaving the answer in index form. (c) Find the Lowest Common Multiple (L.C.M) of 3x^2y, 5x^3y^2 and 8xy^3.

On a graph the boundary of the region defined by the inequality y > 5 is drawn as a broken line rather than a solid one. State the largest integer value of y that does not satisfy y > 5.

Remove brackets and simplify the expression $3(5 - x) - 2x(x + 3)$.

Integers $x$, $y$ and $z$ are such that $x \le 6$, $y \ge -2$ and $-6 \le z \le 4$. Find the least possible value of $yz^2$.

Factorise completely $125p^3 - 5p$.