Grade 9 Math Exam Review

Units 1 & 2

100

Unit 1 - Integers 

Evaluate: (-2) - (-9)

7

200

Unit 2 - Exponent laws 

Evaluate: (x⁴) x (x²)

x⁶

300

Unit 2 - Scientific Notation

Convert the following number into scientific Notation: 

160,000

1.6 x 10⁵

400

Unit 1 - Operations with fractions

Evaluate (-2 1/3) + (-5/6)

-19/6

Units 3 & 4

100

Unit 3 - Polynomials 

The number in front of the variables are called what?

Coefficients 

200

Unit 4 - Solving equations

What is the inverse opperation of multiplication?

Division 

300

Unit 3 - Collecting like terms 

Simplify the following expression by collecting like terms

3x² - 4xy + 5x²y - 9 + 2xy - 1

3x² - 2xy + 5x²y - 10

400

Unit 4 - Word Problems

Four plus three times a number is two less than five times the same number. What is the number? 

Unknown Number = 3

Unit 5

100

What is the x-axis?

The horizontal axis of the cartesian plane

200

Find the mean of the following set of numbers (Round to one decimal place if needed)

2, 11, 23, 4, 9, 18, 12

11.3

300

State the definitions of the following:

Q1:

Q3:

IQR:

Q1: The middle number in the first half of a given set of data

Q3: The middle number in the second half of a given set of data

IQR: the difference between Q3 and Q1

400

Determine the Q1, Q3 and Interquartile range of the following set of data

159, 170, 144, 175, 174, 161, 163, 141, 152, 133, 137

Q1= 141

Q3 = 170

IQR = 29

Unit 6

100

How can you tell, from an equation, that something is linear? 

Variables are on their own meaning: 

- no exponents on the variable 

- no square root symbols over the variable 

- no variables in the denominator 

- no variables as exponents 

200

State what the "m" value and "b" value represent in the equation: Y=mx + b

m: Slope (how steep a line is)

b: y-intercept (where the line crosses through the y-axis)

300

The total cost of a small ice cream cone is $3.00 plus $0.50 per every extra scoop of ice cream. Provide an equation that represents the relationship between the total cost, C, in dollars and the number of scoops, n. 

C = 0.50n + 3.00

400

Determine the point of intersection of the following system of linear equations: 

y = 4x + 2

y = x - 4

POI = (-2, -6) 

Unit 7

100

What is the formula for pythagorean theorem? 

a² + b² = c² 

200

Define the following terms:

Perimeter - 

Area - 

Perimeter - the total distance around the outside of the shape

Area - the amount of flat space that a 2-D object covers 

300

An isosceles triangle has legs of 4cm each. Find the hypotenuse to the nearest tenth of a centimeter. 

Hypotenuse = 5.7cm

400

what part of the formula for the surface area of a square-based pyramid represents one of the triangular faces? 

(Base) x (Length) / 2