Week 3

Question 1

Answer 1

Question 2

Answer 2

Question 3

Answer 3

Question 4

3x+ 5x

Answer 4

3x+ 5x= 8x

Question 5

9x²−2x²

Answer 5

9x²−2x² = 7x²

Question 6

2x+ 4x+ 5y

Answer 6

2x+ 4x+ 5y = 6x+ 5y

Question 7

6x²−5x²+ 9x

Answer 7

6x²−5x²+ 9x = x² + 9x

(Note that x² and 9x are unlike terms)

Question 8

5x²−4x+ 8

Answer 8

The expression 5x²−4x+ 8 cannot be simplified further

Question 9

9x−5y+ 3x+ 4y

Answer 9

9x−5y+ 3x+ 4y

= 9x+ 3x−5y+ 4y

= 12x−y

Question 10

sin(2π−θ)

Answer 10

sin(2π−θ)

= −sin(θ)

Question 11

tan(180^◦+x)

Answer 11

tan(180^◦+x)

= tan(x)

Question 12

cos(−a)

Answer 12

cos(−a) = cos(a)

Question 13

tan(180^◦−a)

Answer 13

tan(180^◦−a)

= −tan(a)

Question 14

cos(π−θ)

Answer 14

cos(π−θ)

= −cos(θ)

Question 15

sin(π−x)

Answer 15

sin(π−x)

= sin(x)