In the equation y=2x + 5, what is the gradient?
2
What is the y-intercept of this graph?
Y-intercept = (0,3)
If Money ($) = 12 x Hours Worked - 7, how much money will you have if you work for 5 hours?
$ = 12 x 5 - 7 = 53
You will have $53
Write an expression for the following:
5 less than x is then doubled.
2(x-5)
Which student won our Pi Day competition and got to throw a cream pie at Mr. Cat's face?
Tahnee
What is the slope in this equation:
y = -5/2x + 2
-5/2
What is the equation of this graph?
x = 3
If the rule for a graph is y = 2x + 1, which of the following points WON'T be on the graph?
(-5, -9), (-1, -1), (0, 0), (3, 7) or (10,21)
(0, 0), since y = 2 x 0 + 1 = 1. (0,1) will be on the line, but (0,0) won't be.
Find an expression for the area of a floor of a rectangular room with the following side lengths (note: m is the unit for metres. It is not a variable):
(x + 3)m
4m
4(x+3)m2 OR (4x + 12)m2
What country did Mr. Cat spend a year working in during 2017?
The United Kingdom (half points for "England")
Find the Slope that connects these two points: (2, -2) and (1, 4)
Rise/Run = 6/1 = 6
What is the equation of this graph?
y = 2
It takes Mr. Cat 6 minutes to mark a maths test for one student (plus 10 minutes to enter all of the results on his computer). Let time (minutes) = t and let the number of tests Mr. Cat has to mark = m. Write a rule to determine how long Mr. Cat will spend marking a test for his class.
T = 6m + 10
The following equation is used in physics to calculate speed based on acceleration and time.
Substitute the following values to find a (acceleration):
v = u + at where v = 6, u = 2, t = 4
a = 1
OR Acceleration = 1 m/s2
What is Mr. Cat's favourite colour?
Blue
Find The Slope: (4,15) and (10,3)
Rise/Run = -12/6 = -2
Identify 4 coordinates that are on this line (100 points each).
Answers will vary. Any point that follows the rule y = 0.5x - 1
The number of strokes a swimmer has to do per lap can be represented by the rule: Distance of lap = 1.5 x number of strokes + 4
Using this rule, find out how many strokes they will need to do if each lap is 25m
25 = 1.5x + 4
21 = 1.5x
x = 14 strokes
The perimeter of a square is 68cm. Determine its side length.
Length = 17cm
One of Mr. Cat's former students recently won a gold medal at the Tokyo 2020 Olympics. What is this Olympian's name?
Matthew Richards (200 points for first name, 200 points for last name)
An equation has the format y = mx + 9 and includes the point (3, 0). Find the gradient.
0 = m x 3 + 9
So m = -3
Determine the equation of this linear graph.
y = 2x + 4
In higher year levels, you will work with non-linear equations like y = x2. Using substitution, list 5 coordinates that would be on this graph (100 points per pair!)
Answers will vary.
You are filling up your car with petrol. If it initially contains 5L and a petrol pump fills it at 0.5L per second, how long it will take to fill the tank to 50L.
Use the rule y = 0.5x + 5, solve for when y = 50.
1 minute 30 seconds OR 90 seconds
Mr. Cat appeared as a contestant on which Australian TV show?
Family Feud