Progress Test Review

Sequences

100

Is the following sequence Arithmetic, Geometric or Neither? 12, 14, 16, 18, 20, .....

What is arithmetic?

200

Find the missing terms in the following Arithmetic sequence. 10, ____, ____ , _____, 26

14, 18, 22

300

Find the nth term for the sequence 2, 6, 10, 12, 16.......

n=4n-2

400

Find the nth term for the sequence -1, 2, 5, 8, 11

n=3n-4

500

Find the 24rd term of the sequence 4, 7, 11, 14...

73

Linear Equations

100

Solve 3x + 5 = -19

x = -8

200

4 (x - 5) = 16

x = 9

300

Solve 11 = -3x - 10

x = -7

400

Solve 5x - 13 =  3x + 7

x = 10

500

Is x = 2 a solution to the equation 2(x - 5) + 3 = 13  ?

No it is not a solution.

Algebra

100

What is the difference between an expression and an equation?

An equation has an equals sign and can be solved.

An expression can only be simplifed.

200

Simplify 5a - 7b +18a - 4b

23a - 11b

300

Expand 5x(x-3)

5x²-15x

400

Expand and simplify 4(x + 2) + 7(x - 1)

11x + 1

500

Expand and simplify 2(a - 5) - 3(a - 4)

-a + 2

Substitution

100

Substitute 5a + 7 if a = 4

5 x 4 + 7 = 20 + 7

= 27

200

Substitute 4a(a - b) if a = 4 and b = 2

4a(a-b) = 4 x a x (a - b)

             = 4 x 4 x (4 - 2)

             = 4 x 4 x 2 

             = 32

300

Substitute 8f + 3b - 12   if f = -5, b = 6?

8f + 3b - 12 = (8x-5) + (3x6) - 12

-40 + 18 - 12

= -34

400

Substitute a = 2 for 2a³

2a³ = 2 x a³

      = 2 x 2³

      = 2 x 8

      = 16

500

Substitute a²(8−√b) if a=3 and b=1

a²(8−√b) = 3² (8 - √1)

               = 9 (8 - 1)

               = 9 x 7

               = 63

Quadratic Equations

100

Factorise x² + 6x + 5

(x+5)(x+1)

200

Factorise x² -7x -18

(x - 9)(x + 2)

300

Solve x² - 4x - 12 = 0

x = 6  and  x = -2

400

Solve x² - 8x + 12 = 0

x = 6   and   x = 2

500

Solve using the quadratic formula x² - 9x + 4 = 0

x = 8.53  and  x = 0.47 (2 dp)