Checking and securing understanding of solving and interpreting linear equations

12 questions

1. Fully factorise the expression 7y^2 - 14y
2. Fully factorise the expression 2x^2 +7x + 3
3. A rectangle has side lengths of 3x + 5 and 2x - 3. Write an expression for the perimeter of the shape.
4. A regular hexagon has side length 3n - 4. Write an expression for the perimeter of the shape.
5. A rectangle has side lengths of 9x - y and 2y. Write an expression for the perimeter of the shape.
6. A square has side length 15x - y. Write an expression for the perimeter of the shape.
7. What is the value of x for 5(x + 7) = 30
8. What is the value of x for \frac{3x - 7}{4} = 11
9. What is the value of x for 2(x - 5) + 10 = 0
10. What is the value of x for \frac{x + 9}{5} - \frac{x - 3}{3} = 2
11. What is the value of x for 4(3x - 2) + 2 = 3(2x + 4)
12. What is the value of x for \frac{5x + 15}{3} = \frac{2x - 2}{2}

License: OGL