Exam Revision

Indices

100

5² x 5³ = 

5⁵

³¹²⁵

200

a¹⁰ ÷ a⁹ = 

a¹ = a

300

(3b²)³ =

27b⁶

400

3 x 2^-11 as a positive index (or fraction) is

3/2¹¹

500

3a⁰ + 10⁰ - (2a²)⁰ = 

3 + 1 - 1 = 3

Scientific Notation

100

Scientific notation is always written as a number between ___ and ___ and times ____ to the power of some number. 

1 and 10 and times 10 to the power of a number 

200

123,000 in scientific notation is 

1.23 x 10⁵

300

0.0048 in scientific notation is

4.8 x 10^-3

400

(2 x 10³) X (3 X 10²) = 

(leave in index form)

6 x 10⁵

500

(9 x 10⁶) ÷ (3 x 10⁴)

3 x 10²

Numbers of any magnitude

100

Zeroes between non-zeroes are called ______ zeroes

Captive/trapped

200

How many significant figures in 123?

3

300

How many sig figs in 120031

6

400

How many significant figures in 0.00302

3

500

How many significant figures in 0.0021001

5

Algebra

100

Simplify a x a

a²

200

Simplify 13x + 4 - 2x

11x + 4

300

Simplify 20y + 8x - 15y - 2x

5y + 6x

400

Expand and simplify 3(x - 2) + 4

3x - 2

500

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

4a - 8 + 10 + 5a = 9a + 2

Expanding Binomials

100

The word we use to remember how to expand binomials is _____

FOIL

First, outside, inside, last

200

Expand (x+1)(x+2)

x² + 2x + 1x + 2

x² + 3x + 2

300

Expand (a+2)(a-4)

a² - 4a + 2a - 8

a² - 2a - 8

400

Expand (3x+1)(x+5)

3x² + 15x + 1x + 5

3x² + 16x + 5

500

Expand (x - 7)(x - 9)

x² - 9x - 7x + 63

x² - 17x + 63