ms. peterson€¦ · web viewmath 9 mid-year reviewname: _____ mid-year review packagepage 16...

Math 9Mid-Year Review Name: _________________

Midyear Exam

Recommended Textbook Review Pg. 82-83Pg. 120-121Pg. 166 # 7-17Pg. 224 -245Pg. 200- 201Pg 278- 279Pg. 284 #7-17.

Bring: Ruler Pencils and eraser Calculator Completed Review Package

Topics to be Included: Rational Numbers (Ch. 2) Powers and Exponents (Ch. 3) Linear Relations (Ch. 6) Polynomials (Ch. 5 and 7)

Format: Multiple Choice Questions Long Answer/Written Questions (calculator permitted for this section)

This review assignment will be marked out of 20 using our guidelines for homework: Show all you work clearly. Answers alone will receive no credit. Check your own answers with those on the website with a coloured pen. Correct all wrong answers beside your original work. Ask during morning or afternoon extra help times if you need help correcting your work. Incomplete work

because you “did not know how to do a question” is NOT acceptable.

Criteria 8 6 4 2 0Completion Each section is

completely done and work is shown

Most sections are done and work is shown

Some sections are complete with work shown

Just answers are provided

Work not done

Checking All work has been checked and corrected in a different colour

All work has been checked and no corrections are shown

Some work has been checked

Work is correct and not checked

Work is incorrect and not checked

Study Notes(on assignment or separate sheet of paper)

Complete study notes/tips have been prepared

Some study notes/tips have been made

No study notes have been prepared

Start working on this review, make a summary and organize your time. Some time for review will be allotted during your class time the week prior to the Midyear Exam.(Textbook review will NOT be marked)

Ch. 2 Rational Numbers (Review pg. 82)

Skill: Comparing and Ordering Rational Numbers (2.1)Compare the following rational numbers. Write them in ascending order and descending order:

Descending Order:

Ascending Order:

Descending Order:

Ascending Order:

Skill: Compare Rational numbers (2.1)Convert to either same denominator or to a decimal.

Which fraction is greater,

Which fraction is smaller,

Skill: Identify a Rational number between two given Rational numbers (2.1)Use a number line and write equivalent fractions.

Identify a fraction between -3.5 and -3.6

Identify a fraction between -0.5 and -0.6

Mid-year Review Package

Skill: Adding and Subtracting Rational numbers in Decimal form (2.2)Add and subtract

- 3.24 + 2.45 - 1.32 - 0.87

2.51 + ( - 2.78) - 5.98 - (- 2.34)

Skill: Multiplying and Dividing Rational numbers in Decimal Form (2.2)

Skill: Apply operations with Rational Numbers in Decimal form (2.2)

A hot air balloon climbed at 1.2 m/s for 8 s. It then descended at 0.4 m/s for 10 s.a) What was the overall change in altitude?

b) What was the average rate of change in altitude?

On Saturday the temperature at the Blood Reserve near Stand Off, Alberta decreased by for 3.5h. It then decreased by for 1.5 h.

a) What was the total decrease in temperature?

b) What was the average rate of decrease in temperature?


Skill: Problem Solving with Rational Numbers in Fraction form (2.3)Adding and subtracting

Skill: Multiplying and Dividing Rational Numbers in Fraction Form (2.3)

Skill: Applying Operations with Rat’l Numbers in Fraction Form (2.3)

At the start of a week, Marin had $86 of her monthly allowance left. That week, she spent of the money in bus fares,

another shopping, and on snacks. How much did she have left at the end of the week?

Skill: Determining Square Roots of Rational Numbers (2.4)Determining a Rational number from its Square root

Estimate and calculate the area of a square photo with a side length of 6.8 cm


Skill: Determining whether a rational number is a perfect square (2.4)SxSIs each of the following numbers a perfect square? Explain.

Skill: Determine the Square Root of a Perfect Square (2.4)Evaluate two ways, with your calculator and using fraction form

Chapter 3 Powers and Exponents (Review p. 120)

Skill: Using Exponents to describe numbers (3.1)

Exponent Laws (3.2) Skill: Multiply powers with the same base, write as a single power.


Skill: Divide powers with the same base (3.2)

Skill: Raise powers, products, and quotients to an Exponent (3.2)

Skill: Evaluate Quantities with an Exponent of zero (3.2)Evaluate each expression:


Skill: Order of Operations. (3.3)

Determine the Product of a Power

Evaluate:

Skill: Evaluate Expressions with Powers (3.2)

Skill: Using Exponents to Solve Problems. (3.4) Use a formula to solve each problem:

A right triangle has two shorter sides that measure 12cm and 16cm. What is the area of a square attached to the hypotenuse of the right triangle?


What is the surface area of a cube with an edge length of 5 m?

Chapter 6: Linear Relations (Review p.244)

Skill: Representing patterns (6.1)

Create an equation for each table of values below

X 1 2 3 4

Y 8 16 24 32

X 1 2 3 4

Y 4 7 10 13

X 1 2 3 4

Y 3 -1 -5 -9

Use the figure below to answer the following:

a) Create a table of values for the figure number (x) and number of starts (y)

b) Write an equation to represent the number of starts in relation to the figure number.


c) How many stars are in figure 68?

d) Which figure number has 62 stars?

Use the figure below to answer the following:

. a) Draw the next two figures in this series.

b) Create a table of values comparing the number of triangles and the figure number.

c) Describe the pattern.

d) Write the equation that represents this pattern.

e) How many triangles are in Figure 6? f) Which figure number has 81 triangles?

Skill: Interpreting Graphs (6.2)


Plot points on the coordinate grid below

A (2,-4) C (3, -2) E (-3,0)

B (-5, 1) D (0, 2) F (-7,-5)

Use the table of values below:The table of values represents the distance that Sophie cycles in relation to time

Time, t (in hrs)

1 2 3 4 5 6

Distance, d (in km)

15 30 45 60 75 90

a) Plot the linear relation on a graph

b) From the graph, determine the approximate distance Sophie has cycled after 2.5 hours.

c) From the graph, approximate how long it takes Sophie to cycle 48km.

Skill: Graphing Linear Relations (6.3)


Graph the following functions using a table of values


The graph shows the relationship between the fuel consumption, f, in litres (L), and the distance driven, d, in kilometers (km)

a) Write the linear equation that models the graph.

b) How far could you drive with 28 L of gas?

c) Is it appropriate to interpolate or extrapolate values on this graph? What assumption is being made? Explain

Chapter 5 and 7: Polynomials (Review p.200 and p.278)

Skill: Name polynomials and number of Terms (5.1)

For each expression, identify the number of terms, whether the expression is a monomial, binomial, trinomial, or polynomial, and the degree of a polynomial.

Skill: Identifying like Terms (5.2)


Give an example of four like terms that have 2 or more variables in the term.

Circle the like terms in the following group:

Skill: Collecting Like Terms (5.2)

Skill: Adding Polynomials (5.3)

Skill: Determining Opposite ExpressionsGive the opposite of each expression.

9x -3x +1

7- 4x

Skill: Subtracting Polynomials (5.3)Simplify


Skill: Multiplying and Dividing Monomials (7.1)Leave answers as fractions where needed, no decimals.


Skill: Multiplying and Dividing Polynomials by Monomials (7.3)

Skill: ApplicationThe area of a rectangular sandbox is 36xy +24x. The width of he sandbox is 4x. What is the perimeter of the sandbox?

If a foosball table is 4 cm longer than twice its width, what is an expression for the area of the foosball table? Express your answer in expanded form.

If rectangular fence has a perimeter of 10 m, the length is x m, what is the area of the enclosed fence area?


ms. peterson€¦ · web viewmath 9 mid-year reviewname: _____ mid-year review packagepage 16...

Documents