Year 8 Algebraic techniques and indices

Consider the expression 5a² − 3b + 8. Which one of the following statements is true?

• The coefficient of a is 5.

• It has 5 terms.

• The constant term is 8.

• The coefficient of b is 3.

• The coefficient of a² is 10.

Half the sum of double x and 3 can be written as:

• $\frac{1}{2}\times2x+3$

• $\frac{\left(2x+6\right)}{2}$

• $x+6$

• $\frac{\left(2x+3\right)}{2}$

• $\frac{2\left(x-3\right)}{2}$

If n + 2 is an odd integer, the next odd integer can be written as:

• n + 3

• n + 4

• n + 5

• n + 1

• n

Find the value of 5 − 4a² given a = 2.

• 3

• -3

• 21

• -11

• 13

3 × x × y is equivalent to:

• 3x + y

• xy

• 3 + x + y

• 3x + 3y

• xy + 2xy

The expanded form of 2x(3 + 5y) is:

• 6x + 5y

• 3x + 5y

• 6x + 5xy

• 6 + 10y

• 6x + 10xy

• 2

5⁷ × 5⁴ is equal to:

• 25¹¹

• 5²⁸

• 25³

• 5³

• 5¹¹

The fully factorised form of 3a² − 6ab is:

• 3a²(1 – 2b)

• 3a(a – 2b)

• 3a(a – b)

• 6a(a – b)

• 3(a² – 2ab)