Plotting & The Cartesian Plane
What are the coordinates of the Origin on a Cartesian plane?
(0, 0)
What is another word commonly used in math for the "slope" of a line?
Gradient (or rate of change)
What are the next two numbers in this basic arithmetic sequence: 3, 9, 15, 21,.......?
27 and 33 (The rule is +6)
Convert the decimal 0.25 into a percentage.
25%
Solve for x: x - 14 = -6
x = 8
If a point is located at ( -4, -8 ), which quadrant is it located in?
Quadrant III (3rd Quadrant)
Given the linear equation y = 12 - 4x, evaluate the value of y when x = 2.
y=4
What special mathematical name do we give to the following sequence of numbers: 1, 4, 9, 16, 25, 36, ......?
Perfect Squares (or Square Numbers)
Write the percentage 80% as a fraction in its simplest form.
4/5
Simplify the following expression: 15 + (-8) - (-3)
10 (since 15 - 8 + 3 = 10)
What is the definition of the x-intercept?
The point where a line crosses or intersects the x-axis (where y = 0).
If a straight line goes upwards from left to right, is its gradient positive, negative, or zero?
Positive
Find the missing value M in the following sequence: 400, 200, M, 50, 25.
$100$ (The rule is divide by 2)
Calculate 30% of 150.
45
Solve for y: 4y + 12 = 32
y = 5
A point sits exactly 5 units straight up from the point (3, 2). What are the coordinates of this new point?
(3, 7)
Find the gradient of a line that passes through the point A(1, 3) and point B(3, 11).
4
Identify the missing number in this sequence of numbers: 2, 3, 5, 7, 11, ......, 17, 19.
13
A pair of shoes normally costs $120. If they are on sale for a 15% discount, how much money do you save?
$18 (The discount amount is $18)
Evaluate the following order of operations expression: -5 x 4 + (20 divided -2)$
-30 (since -20 + (-10) = -30)
If a line crosses the y-axis at the point (0, -9), what is the y-intercept of this line?
-9
A line has a gradient of -3 and passes through the point (1, 5). What is the y-value of the table when x = 3
-1
Find the next term in this alternating sequence: 2, 20, 4, 17, 6, 14, 8,.......
11 (The first pattern adds 2: 2, 4, 6, 8; the second pattern subtracts 3: 20, 17, 14, 11)
If a shirt costs $40 and you only pay $30, what percentage discount did you receive?
Answer: 25% discount
10x + 14 = 4x - 16
x = -5 (simplifies to 6x = -30)