Week 1 - Mathematical Foundations

Question 1

Simplify this fraction into its lowest terms: 9/18

Answer 1

1/2

Question 2

Simplify this fraction into its lowest terms: 30/45

Answer 2

2/5

Question 3

Simplify this fraction into its lowest terms: 19/95

Answer 3

1/5

Question 4

Simplify this expression: 5x + 6y + 4 – 3x –3

Answer 4

2x+6y+1

Question 5

Simplify this expression: 6p + (–6p)

Answer 5

0

Question 6

Simplify this expression: 3.2y – (–10x) + 3.2x + (–2y)

Answer 6

13.2x+1.2y

Question 7

Solve for x: 4x + 7 = 27

Answer 7

x = 5

Question 8

Solve for x: x/3 + 9 = 5

Answer 8

x = -12

Question 9

Solve for x: -4 = x/20 – 5

Answer 9

x = 20

Question 10

Pattern: 5, 8, 11, 14, 17, …

a) Give the next 2 terms
b) Give an expression for the nth term
c) Find the 30th term

Answer 10

a) 20, 23
b) nth term = 3n+2
c) 92

Question 11

Pattern: 2, 5, 10, 17, 26, 37, …

a) Give the next 2 terms
b) Give an expression for the nth term
c) Find the 30th term

Answer 11

a) 50, 65
b) nth term = n^2+1
c) 901

Question 12

Pattern: 8, 11, 16, 23, 32, …

a) Give the next 2 terms
b) Give an expression for the nth term
c) Find the 30th term

Answer 12

a) 43, 56
b) nth term = n^2+7
c) 907

Question 13

Pattern: 2, 6, 12, 20, 30, 42, …

a) Give the next 2 terms
b) Give an expression for the nth term
c) Find the 30th term

Answer 13

a) 56, 72
b) nth term = n^2+n
c) 930

Question 14

Evaluate: 7/10 + 2/30

Answer 14

23/30

Question 15

Evaluate: 9/14 - 7/56

Answer 15

29/56