Linear Relations
In y=mx+b what variable represents the independent variable?
The independent variable is "x".
What is the result when you multiply (2x)(2x)?
4x2
What's the sum of the angles on the exterior of a polygon?
360
Simplify 3x(2x²)3x = ?
18x4
Solve: 3n - 1 = -n - 13
n = -3
What is the slope of a horizontal and vertical graph?
Horizontal m = 0
Vertical m= undefined
Simplify the following. 3x−2x+4x
5x
Calculate the AREA of a sphere with a diameter of 10cm
A=314.15 cm²
Simplify: (2x3y)3
8x9y3
-5n +4n - 6n + 7 = 9 - 10n
n = 2 / 3
State the slope and y-intercept of y = -2x
m = -2
b = 0
Multiply the polynomial by the monomial ---
(7y)(8x+4)
56xy+28y
What is the measure of each angle in a regular 20-sided polygon?
162
Simplify: (-2x-1y5)(8x7y)
-16x6y6
n +2(n+1) + 3(n - 2)= 4(3n - 2)
n = 2/3
Use an algebraic method to find the x- and y-intercepts of the line 2x - 3y = 12
x-int: (6,0)
y-int: (0,-4)
John has change in his pocket consisting of quarters, loonies and toonies. The number of quarters is twice the number of loonies and the number of toonies is twice the number of quarters. Write an algebraic expression to represent the total number of coins he has, using only one variable.
Let x represent the number of toonies. Then, "x + 2x + 4x" is the total number of loonies, toonies and quarters.
A triangle has sides with lengths of 6 centimetres, 8 centimetres, and 10 centimetres. Is it a right triangle? Explain your steps.
For this to be a right triangle it must satisfy Pythagorean theorem. 6² + 8² = 10² 36 + 64 = 100 (yes)
Simplify: (3x2 * 2y3) / (3xy2)
2xy
6f - 3 / 5 = 4f - 1 / 3
f = -2
Find the x-intercept of this equation 3x - 5y = -15
(1, 0)
Expand and simplify:
2x(5x - 3) - (3x - 4)
10x2 - 9x + 4
What's the surface area of a square-based pyramid that has a base length of 6m and a vertical height of 4m?
SA = 84 m2
Evaluate for x=-3
-x² - 4x = ?
3
3/4(2m + 1) = 1/9m + 2
m = -63 / 50