Algebra Answers

Expand the brackets in the expression (5 − 3 t)(5 + 3 t)

What is the coefficient of t2?
What is the coefficient of t?
What is the constant term?

make k the subject of the equation 11k = 13t - 7k/2t

Make k the subject of the following two equations. Show each step of working.

5t = 13 − 9k / 7

11k = 13t − 7k / 2t

Solve the equation

11 / x - 6 = 6 / x - 11

Factorise then solve this equation

x^2 − 3x − 40 = 0

Explain how you could use your answer to the above first answer, to solve the
equation here

8x^2 − 24x − 320 = 0

What are the solutions?
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Solve this equation

11 6
_____ = ____

x − 6 x - 11
.

Use algebra to solve these two simultaneous equations, Show each step of your working clearly.

y = 6.5x + 40, y = 4.5x + 80

Make k the subject of the following two equations. Show each step of working.

5t = 13 − 9k
____

7

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1k = 13t − 7k
___

2t

if a>1 and b>1, which of the following expressions is equivalent to (7a^3 b^-5) / a^2

Expand the brackets in the following expressions.

(11x − 4) (6x + 12)

(5a − 8b)^2

Factorise the following expressions.

x^2 + 21x − 72

64m^2 − 169n^2

if the numbers have been rounded to the nearest 10 what is the lowest and highest values that 50 could be (lower and upper bounds)