Laws of Indices
Simplify a2 x a5
a7
What is the growth multiplier for a 10% increase
1.1
What is the decay factor for a 20% decrease?
0.8
What type of transformation can move a graph to the left or right (along the x-axis)
Horizontal translation
How many sides does a pentagon have?
5
Simplify (3a)2
9a2
What is the growth multiplier for a 10% increase followed by a 15% increase?
1.265
What is the decay factor for a 20% decrease followed by a 10% decrease?
0.72
What type of transformation will change all of the positive y-value to negative?
Reflection in the x-axis
What does the chemical symbol Ag represent?
Silver
Simplify 16a9 ÷ 2a4
8a5
What kind of asymptote will an exponential growth function have?
Horizontal
A colony of rare birds is decreasing at a rate of 8% annually. In 2020, scientists measured the colony to have 1250 birds. How many birds are expected in 2026?
758 birds
What would changing f(x) to f(x-3) do to a function?
It will move 3 units to the right along the x-axis
What is the largest planet in the solar system?
Jupiter
Rewrite without brackets or negative indices:
(4a2)-3
1/64a6
Mary puts $3000 into a bank account which increases by 7% each year. How much money will she have after 5 years (to the nearest dollar)?
$4208
A colony of rare birds is decreasing at a rate of 8% annually. In 2020, scientists measured the colony to have 1250 birds. How long will it be until the colony has halved in size?
9 years.
A function has the points (0,1), (1,4) and (2,8). It has been transformed and now has the points (0,0.5), (1,2) and (2,4). What type of transformation has occurred?
(Vertical) Compression
Which ocean lies between Africa and Australia?
Indian Ocean
Rewrite without brackets or negative indices:
3(a-4b)-2 ÷ 24a(b)-3
a7b/8 or 1/8a7b
Mary puts $3000 into a bank account and will leave it there for 10 years in the hope it will grow to at least $10,000. What is the minimum interest rate she needs to achieve this?
12.8%
23.3
The function y=2x has been transformed to y=3(2x-1)+1. Describe what has happened to the function.
Vertical stretch by a scale factor of 3.
Translation 1 unit to the right.
Translation 1 unit up.
Which is the only country to contain each of the 5 vowels exactly once in its name?
Mozambique