MFM1PHere’s what I know now!Course Review
Units 1 & 3 Algebraic Models (Expressions & Equations)
Notes: / Examples:Collecting like terms / Combine Like Terms
a) 5x + 6 + 3x – 11 b) 3x – x + 2
c) d)
Distributive Property / Expand and Simplify
a) 3(7x – 1) b) 2x(5x + 8)
c) 2(x+4) -3(2x-4) d)
Solving Equations / Solve for x.
a) b) c)
d) e) f)
g) h)
Unit 3 Proportional Reasoning
Notes: / Examples:Ratio / Determine each value of x.
a) x : 10 = 3 : 5 b) 7 : 4 = 21 : x c)
d) 6 : x = 8 : 15 e) f)
Proportions / The actual distance between 2 towns Ribbon costs $2.88 for 4m.
is 620km. On a map, this distance is How much ribbon can be
12.4cm. What is the actual distance bought for $3.60?
between another two towns if the
map distance is 9.3cm?
Unit Rates / Determine each unit rate.
a) $73.50 earned in 6h = ______b) $4.44 for 12 cans of pop = ______
c) 128 km biked in 8h = ______d) 56 points in 7 games = ______
Percent / A bathing suit is regularly priced at $34.99. It is on sale at 30% off.
a) What is the sale price? b) How much must be paid including 15% tax?
Units 4 Measurement
Notes: / Examples:Volume /
Pythagorean Theorem
a2 + b2 = c2 / Determine the unknown length.
Composite Figures
Area & Perimeter / Determine the perimeter and area of each figure.
Unit 6 Geometry
Notes: / Examples:Angle Theorems / Determine the value of x
The two triangles are isosceles.
Find all the angles.
Algebra & Geometry / Write an expression for the perimeter of each figure. Simplify the expression.
Evaluate the simplified expression for each perimeter when x = 8 cm.
Unit 5 Linear Relationships
Notes: / Examples:Scatter Plots:
- Table of Values
- Independent and Dependent Variables
- Graphing
- Line of Best Fit / Julie gathered information about her age and height from the markings on the wall in her house.
a) Label the dependent variable on the graph.
b) Draw a line of best fit.
Question / Answer / Method of Prediction
How tall was Julie when she was 5 1/2 years old?
How tall will Julie be when she is 9 years old?
How old was Julie at 70 cm tall?
How tall was Julie when she was born?
Correlation / Draw a line of best fit (if appropriate). Describe the trend of each relation.
First Differences / Is the relationship between length and width linear?
Justify your answer.
Unit 5 Linear Relations (continued)
Notes: / Examples:Rate of Change (ROC) / Calculate the rate of change for each segment of this graph:
Part 1:
Part 2:
Part 3:
Distance/Time Graphs / Create a story that would match the graph to the right. Remember to include details about speed, direction and distance.
The graph shows how the volume of
water in a town reservoir changes
during a typical day. Describe how
the volume of water changes
during the day. Suggest reasons
for the changes.
Unit 5 Linear Relations (continued)
Notes: / Examples:Equations, Graphs, Table of Values & Descriptions (words)
- Initial Fee
- ROC
- Direct & Partial Variation /
Unit 5 Linear Relations (continued)
Notes: / Examples:Equations, Graphs, Table of Values & Descriptions (words)
- Initial Fee
- ROC
- Direct & Partial Variation / The graph shows the relationship between the cost of renting a gym and the amount of time the gym is used.
a)Determine the hourly rental rate
b)What is the initial value and what does it represent?
c)Write an equation where C is the total rental cost after h hours.
The table below shows the relationship between the cost to rent a bicycle, C, and the number of hours, n.
a)Determine the rate of change and state what it represents
b)Determine the initial value and state what it represents
c)Write an equation