Unit 1

4 marks · Normal

Let , , and .

Consider the algebraic expression .

(a)

Evaluate the expression using the given values.

[2 marks]

(b)

Simplify the fraction to its lowest terms.

[2 marks]

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Show answer

(a) 25

(b) 2/3

Show mark scheme and worked solution

Marking points

M1 (a) · 1 mark · Correct substitution into expression

A1 (a) · 1 mark · Accurate arithmetic to reach 25

B1 (b) · 1 mark · Correct process to simplify to lowest terms

A2 (b) · 1 mark · Simplest form is 2/3

Worked solution

a) Substitute: 2×3 + 3×7 − 2 = 6 + 21 − 2 = 25.

b) 14/21 = (14÷7)/(21÷7) = 2/3.