MPM 1D
Final Exam Review
Number Sence and Algebra Unit Review
1. An expression with 3 terms is called a _____________. A binomial is an expression with ______ terms. A _____________ is a name given to represent any expression with one or more terms. In the term -4x2, the coefficient is _________and the exponent is ___________. The
Distributive property allows you to ___________ polynomials. The ____________ of a term is the sum of the exponents on the variables. The degree of a polynomial is the _______________ of all the terms in the polynomial.
2. Simplify
a) 5x + 10 + 5y – 3x + 1 f) (-2a2 b) 4
b) (4 + 2x + x2) – (3 – 7x2 + 5x) g) (-5x2 y2 )(4c2 x3 y8)
c) 5(2y2 – 3y – 2) – 2(y2 – 4y + 1 h) (2x3)(x)(4x4)
d) 4(y – 3) – 2(y + 4) i) 25x4 y2 5x2 y
e) 6x2 – 3x2 (2x2 – x + 2) j)
3. Evaluate
a) 73 b) c) (-2) 0 d) (-4) 4 e) -42 f) (42 ) 3 4
4. Solve for x
a) 2x + 10 = 9 + 11 – 3x d)
b) 3(x + 2) = -9 e)
c) 5(2x – 3) + 6 = -35 – 3x f) 5. Find the value of the missing side.
a) b) y c)
x 6.3 w
5 10
4 9.2
12
Linear Relationships Review
1. Describe the scatter plots. Use the terminology of this course.
a) b) c) d)
2. Draw a line of best fit for the plots in #1 above.
3. a) Graph the following a) Describe the relationship
b) What mark may a student get if he misses
10 days? What is this type of prediction is called? c) How many days may a student have missed if is
mark was 45? What is this type of prediction is called? e) Is it reasonable to estimate that students who have perfect attendance will have a mark of 95%? Explain
f) Draw a line of best fit. Calculate the rate of change of your line of best fit. g) Describe what the rate of change means in the context of the problem.
4. A retail company uses the formula, C = 5.5n + 50 to charge for chair rentals. C is the cost in dollars and n is the number of chairs.
a) Identify the dependent and independent variables.
b) What is the slope of this equation? What does it represent in this context? c) What is the y – intercept? What does it represent?
d) Calculate the cost of renting 200 chairs.
e) If you relieved a bill of $3460.50, how many chairs did you rent? f) What type of variation is this?
g) How would you recognize the slope on the graph? In a table?
5. The school band decided to raise money by performing a music marathon.
a) Pia Nault collected pledges worth $5.50 for each hour of playing. Write a formula to calculate the amount she could earn. What type of variation is this?
b) Guy Tarr collected pledges worth $4 per hour, plus he had a lump sum pledge of $25 from his aunt. Write a formula to calculate the amount he could earn. What type of variation is this?
6. For a mid-size car a car rental company charges $45 per day plus a $.15 per km driven. Write a formula to model the cost of a one day rental, C = total dollars, d = km driven.
Days Missed Mark
0 95
3 86
4 83
8 74
Analytical Geometry Review
1. Determine the slope, y-intercept and x-intercept for the following. a) y =2x +4 b) 3x – 5y + 15 = 0
2. Determine the slope of the each line
a) given points P(-12, -3) and Q(2, -5) c) y = 3
b) perpendicular to y = ½ x + 3 d) x = -2
3. Graph each of the following
a) b) 2x – 7y + 14 = 0 c) y = 50 x + 100
4 Determine if the points; (2, -3) and (-4, 6) lie on the line of 3x – 4y –18 = 0
5. Determine the equation of the line given; a. m = -7, P(-5, 4)
b. P(8, 5) & Q(-3, 2)
c. Passing through (-4, 1) and parallel to 2x – 3y + 4 = 0 d. Perpendicular to y = -5x –2 , with a y-intercept of –4 e. Slope = 0 and passing through point (2, 3)
f. Undefined slope and passing through (-3, 0)
6. Find the equation relating x and y. Is it linear? How do you know?
a. x y b) x y c) x y
2 4 0 1 2 -6
3 9 1 3 3 -9
4 16 2 9 4 -12
5 25 3 27 5 -15
7. a) Draw a graph to represent the following story.
Brittany walks to school at a steady pace. She stops to talk to a friend then continues to school at a fasterpace. After being at school, she returns home without stopping or slowing down.
b) Tell a story to represent the graph shown.
8. Does the following tables represent data that is linear or non-linear. Explain!
a) b)
x 0 1 2
y 1 3 9
x 0 1 2
y -1 2 5 xy 0-1 12 25
x 0 1 2
Measurement
and Geometry Review
1. Solve for the unknowns and give reasons for your answers.
a) b) c)
d) e) f)
2. Calculate the perimeter and area of the following.
a) b) c)
3. Calculate the volume and surface area for the following.
a) b) c) d) e)
4. What is the largest rectangular area that enclosed with 60 m of string?
5. A square based prism must hold 27000 cm3 of water. What is the least amount of material needed to
build the box?
