MPM1D Exam Review…created by YOU!!!
1. Can a triangle have more than one obtuse angle? Explain.
2. A customer buys flowers from two florists. One florist charges $10 per flower. The other florist
chargers a $20 flat rate and 3$ per flower. Write an equation to represent the costs at each florist.
Describe the relationship.
3. Identify the slope and y-intercept of each line.
4
7
a) y 3x 4 b) C 6 n c) y 3 27x d) y
x 10
6
10
4. Write each of the following in expanded/exponential form.
a) 36 b) 74 c) 1112 d) 8x8x8x8x8x8 e) 5x5x5 f) 9x9x9x9
5. What is the difference between an equation and an expression?
6. Solve the following equation and check your answer:
4x 6 30
7. Simplify and solve:
a) 27(23) b) (33)3 c) 7 4 7 2 d) (69)0
8. Keith loves cymbals and drumsticks. A pack of drumsticks costs $5 and a cymbal costs $20. What
combinations of cymbals and drumsticks can he buy?
9. What is the slope of the line that passes through (8,-4) and (-10,8)?
10. Tommy gives tennis lessons. The equation relating the cost of his lessons and the length of the lesson, in
hours, is C = 40n + 10. Explain:
a) what C represents
b) what 40 represents
c) what n represents
d) what 10 represents
11. Find the sum of the interior angles of a megagon (1 million sides).
12. Find the measure of one interior angle of a regular megagon.
41 3x x 6
3
9
14. A hall chargers a $950 flat rate for a birthday ceremony plus an additional $25 per guest. If the
birthday girl has $20,000 to spend, how many guests can she have?
13. Solve:
15. Give the slope of a line perpendicular to:
a) 1/7 b) -8/5 c) -9 d) 7/10 e) 1/120
16. Express the following equations in y = mx+b form
a) x y 6 0
b) 60x 60y 60 0
c) 7x 21y 40 0
d) 24x 48y 12 0
17. Simplify using the exponent laws.
3
3p 5 p
3
2
2 3
a) y y y
b)
p7
18. What is the difference between a slope of
4
4
and a slope of ? What would they look like on a graph?
3
3
19. Find the slope of the relation described in the following table.
20. Complete the following table.
Term
8y
3x 4
r 2h
j4
2x
5
X
7
15
23
31
Y
112
240
368
496
Coefficient
Variable
21. Find the perimeter of the following figure.
22. The perimeter of the following triangle is 120 cm. Find the value of x.
x
2x
2x
23. Solve: x 3x 2 3 4x 2x 6
A
24. Find the length of the line segment DE.
3 cm
B
C
D
25. Find the measure of each angle.
E
y
x - 25
2x - 15
x
w
x + 60
x + 15
z
26. In 2006, a high school had 500 students. In 2010, the population had grown to 850 students. Find the
average rate of change.
27.
a) What is a polynomial?
b) Classify each polynomial by the number of terms.
i) 2 a 2 3y
ii) 3x 2
iii) 0.95x 24
28. Categorize the following as direct variation, partial variation, or neither. Justify your answer.
a)
b)
y
c)
y
y
10
10
10
8
8
8
6
6
6
4
4
4
2
2
2
4
6
8
10
2
x
2
4
6
8
10
x
2
4
6
29.
Solve the equation y mx b for x.
30.
31.
Find the measure of each interior and exterior angle for a regular 18-sided polygon.
A parallelogram has one angle that measures 115°. Find the measure of the other three angles.
8
32. Jacob refuses to walk up stairs that have a slope steeper than 3. Should he use the following stairs?
a)
b)
14m
3000 mm
80 cm
8m
33. The sum of three numbers is 75. The second number is five more than the first and the third number is
three times larger than the second. What are the numbers? Provide a full solution, including a let
statement, a full algebraic solution and a concluding statement.
34. Determine the degree of the following polynomials:
a) 3x 5
b) 5x 7 y 12 z
c) 7x 2 3y 2 4z 2
35. Expand and simplify using the distributive property.
a) 3x 7
b) 42y 3 3y
36. Find the area of triangle ABM.
A
M
4.5
5c
m
B
8.3 cm
C
10
x
0
