MATH 9 Final Exam Review

Linear Relations

100

In y=mx+b what variable represents the independent variable?

The independent variable is "x".

200

What does "partial variation" mean for a linear relation's

a) graph

b) equation

c) relationship between the variables?

a) The line does not pass through the origin

b) y = mx + b where b does not equal 0

c) The y-value has an initial value other than zero, then it increases or decreases by a constant amount as x increases

300

State the slope and y-intercept of y = -2x 

m = -2

b = 0

400

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)

500

Find the equation of the line parallel to 3x - 5y = -15 and with an x-intercept of (1,0)

y = 3/5 x - 3/5

Algebra & Polynomials

100

What is the result when you multiply (2x)(2x)?

4x²

200

Simplify the following. 3x−2x+4x

5x

300

Multiply the polynomial by the monomial --- 

(7y)(8x+4)

56xy+28y

400

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.

500

Expand and simplify:

2x(5x - 3) - (3x - 4)

10x² - 9x + 4

Geometry

100

What's the sum of the angles on the exterior of a polygon?

360

200

Calculate the AREA of a sphere with a diameter of 10cm

A=314.15 cm²

300

What is the measure of each angle in a regular 20-sided polygon?

162

400

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)

500

What's the surface area of a square-based pyramid that has a base length of 6m and a vertical height of 4m?

SA = 96 m²

Exponents

100

Simplify 3x(2x²)3x = ?

18x⁴

200

Simplify:  (2x³y)³

8x⁹y³

300

Simplify:    (-2x^-1y⁵)(8x⁷y)

-16x⁶y⁶

400

Simplify:       (3x² * 2y³) / (3xy²)

2xy

500

Evaluate for x=-3 

-x² - 4x = ?

3

Solving Equations

100

Solve:  x + 4 = -3

x = -7

200

Solve:   -21x = -3

x = 1 / 7

300

Solve:   2x - 1 = - 13

x = -6

400

3p + 7 = 5p - 1

p = 4

500

(a - 3) / 4 = (2a - 5) / 3

a = 11 / 5