review of essential skills 1 buying or leasing a vehicle€¦ · nel apprenticeship and workplace...

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1 Buying or Leasing a Vehicle Relating Units of Time 1. Adam is borrowing money to buy a car. He will make payments for 4 yr. a) How long is this in months? (4 yr)( mo/yr) 5 mo b) How long is this in weeks? (4 yr)( wk/yr) 5 wk c) How long is this in days? (4 yr)( d/yr) 5 d Working with Percents Percent means “out of 100.” 1% 5 1 hundredth, or 1 100 , or 0.01 16% 5 16 hundredths, or 0.16 16.5% 5 16.5 hundredths, or 165 thousandths, or 0.165 129% is greater than 100%, so it is greater than 1 whole. Ones Tenths Hundredths 1 2 9 129% 5 1.29 2. Write each percent as a decimal or a whole number. a) 5% 5 e) 100% 5 b) 25% 5 f) 118% 5 c) 38% 5 g) 125% 5 d) 28.2% 5 h) 136.4% 5 3. Write each decimal as a percent. a) 0.21 5 % e) 1.62 5 % b) 0.6 5 % f) 1.3 5 % c) 0.925 5 % g) 1.568 5 % d) 0.002 5 % h) 1.009 5 % Use 1 yr (year) 5 12 mo (months) 5 52 wk (weeks) 5 365 d (days) Hint To write a decimal as a percent, write the number of hundredths. 0.5 5 0.50, or 50% 1.5 5 1.50, or 150% Hint 1 NEL Chapter 1 Review of Essential Skills Review of Essential Skills

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Page 1: Review of Essential Skills 1 Buying or Leasing a Vehicle€¦ · NEL Apprenticeship and Workplace 12: Review of Essential Skills 6 01_AW12_RES.indd 6 23/03/12 6:40 PM. Adding and

1 Buying or Leasing a VehicleRelating Units of Time 1. Adam is borrowing money to buy a car. He will make

payments for 4 yr.

a) How long is this in months?

(4 yr)( mo/yr) 5 mo

b) How long is this in weeks?

(4 yr)( wk/yr) 5 wk

c) How long is this in days?

(4 yr)( d/yr) 5 d

Working with PercentsPercent means “out of 100.” 1% 5 1 hundredth, or 1

100, or 0.0116% 5 16 hundredths, or 0.16 16.5% 5 16.5 hundredths, or 165 thousandths, or 0.165129% is greater than 100%, so it is greater than 1 whole.

Ones Tenths Hundredths

1 2 9 129% 5 1.29

2. Write each percent as a decimal or a whole number.

a) 5% 5 e) 100% 5

b) 25% 5 f) 118% 5

c) 38% 5 g) 125% 5

d) 28.2% 5 h) 136.4% 5

3. Write each decimal as a percent.

a) 0.21 5 % e) 1.62 5 %

b) 0.6 5 % f) 1.3 5 %

c) 0.925 5 % g) 1.568 5 %

d) 0.002 5 % h) 1.009 5 %

Use1 yr (year) 5 12 mo (months) 5 52 wk (weeks) 5 365 d (days)

Hint

To write a decimal as a percent, write the number of hundredths.

0.5 5 0.50, or 50%1.5 5 1.50, or 150%

Hint

1NEL Chapter 1 Review of Essential Skills

Review of Essential Skills

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4. Calculate each percent.

a) 15% of 300 5 e) 112% of 200 5

b) 22% of 625 5 f) 104% of 620 5

c) 4% of 100 5 g) 122.5% of 27 5

d) 8.2% of 450 5 h) 110.1% of 82.5 5

5. Chelsea is buying a new bike. The purchase price is $800. The tax is 5% of the purchase price.

What is the total cost, including tax?

The total cost, including tax, is 100% 1 5% 5 105% of the purchase price.

105% of $800 5 $

The total cost, including tax, is $ .

Calculating with Measurements 6. How far did each driver travel?

a) Molly drove at a speed of 90 km/h for 3 h.

(90 km/h)( h) 5 km

Molly travelled km.

b) Dustin drove at a speed of 75 km/h for 1.5 h.

Dustin travelled km.

7. Jane drove 300 km at a speed of 90 km/h. How long did the trip take?

300 km 4 km/h 5 h, or h min

The trip took h min.

8. How much fuel did each driver need?

a) Elijah drove 2000 km in a car that uses 0.04 L /km.

(2000 km)(0.04 L /km) 5 L

b) Mackenzie drove 145 km in a car that uses 0.035 L /km.

c) Brodie drove 476.8 km in a car that uses 0.064 L /km.

To calculate 15% of 300, enter 15 % 3 300 5 or 0.15 3 300 5

Tech Tip

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Measuring Instruments2Multiplying Fractions 1. Multiply. Write the answer in simplest terms.

a)13

of 12

5 13

312

51 3 13 3 2

5

b)23

of 34

5 23

334

5 3

3

�5 , or

in simplest terms

Rounding Decimals 2. What is each rounded measurement?

a) 4.168 cm, to the nearest tenth of a centimetre: cm

b) 8.055 m, to the nearest hundredth of a metre: m

c) 2.956 mi, to the nearest mile: mi

d) 1.995 L, to the nearest tenth of a litre: L

e) 6.525 kg, to the nearest kilogram: kg

f) 1.709 lb, to the nearest tenth of a pound: lb

Reading Ruler Scales 3. The ruler measures inches. Mark each measurement under

the ruler.12

in. 2 14

in. 3 18

in. 1316

in.

134

in. 2 58

in. 13

16 in. 3

78

in.

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0 1 2 3 4inches

To multiply two fractions, multiply the numerators and multiply the denominators. The result is in simplest terms if 1 is the greatest number that divides into both the numerator and the denominator.

Hint

3NEL Chapter 2 Measuring Instruments

01_AW12_RES.indd 3 23/03/12 6:40 PM

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4. Use a ruler marked in inches and centimetres. Which measurement is smaller? Circle it.

a)12

in. or 1 cm c) 18

in. or 4 mm

b) 0.5 cm or 14

in. d) 1 mm or 1

16 in.

Calculating the Range5 6 0.5 means “5 plus or minus 0.5.”

5 2 0.5 5 4.5 5 1 0.5 5 5.5

The range 5 6 0.5 includes all the numbers from 4.5 to 5.5.

5. What numbers are included in each range?

a) 10 6 3 includes all the numbers from to .

b) 21.7 6 0.8 includes all the numbers from to .

c) 25 6 10 includes all the numbers from to .

Calculating Perimeters 6. What is the perimeter of each shape?

a)

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13 in.

11 in.

7 in.

P 5 in. 1 in. 1 in.

5 in.

b)

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0.4 m

P 5 p(diameter)

5 m

Calculating Volumes 7. What is the volume of each object?

a)

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4.0 ft

1.3 ft

Vcylinder 5 (area of base)(height)

5 pr 2h

5 cu ft

b)

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3.8 cm

Vsphere 5 43

pr3

5 cm3

Perimeter is the distance around a shape. The perimeter of a circle is called the circumference.

Hint

Volume is the space that an object occupies.

Hint

4NEL Apprenticeship and Workplace 12: Review of Essential Skills

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Ordering Measurements 1. Order the measurements from least to greatest.

a) 25 140 mi, 24 500 mi, 24 150 mi, 25 450 mi, 20 900 mi

mi, mi, mi, mi, mi

b) 32.9 L, 33.01 L, 35.2 L, 33 L, 33.1 L, 32.19 L

L, L, L, L, L, L

c) 0.872 cm, 0.8 cm, 0.9 cm, 0.928 cm, 0.88 cm, 0.009 cm

cm, cm, cm, cm, cm, cm

d) 3 8C, 22 8C, 10 8C, 0 8C, 25 8C

8C, 8C, 8C, 8C, 8C

Adding Decimals 2. Add.

a) 3.87 1 5.50 5 d) 12.42 1 5.62 5

b) 7.25 1 5.37 5 e) 8.76 1 6.07 5

c) 8.76 1 6.07 5 f) 4.75 1 0.9 5

Dividing Decimals 3. Divide.

a) 12.8 4 4 5 d) 4.671 4 6 5

b) 1.75 4 5 5 e) 0.99 4 3 5

c) 4.88 4 8 5 f) 0.56 4 7 5

Determining the Midpoint 4. What is the midpoint between the given measurements?

a) 0 cm and 5 cm Midpoint: (0 cm 1 5 cm) 4 2 5 cm

b) 16 ft and 21 ft Midpoint: ft

c) 4.2 m and 4.3 m Midpoint: m

d) 31.5 mi and 45.25 mi Midpoint: mi

e) 7.4 km and 11.6 km Midpoint: km

Statistics3

The midpoint between two numbers is equal to sum of numbers 4 2

Hint

5NEL Chapter 3 Statistics

01_AW12_RES.indd 5 23/03/12 6:40 PM

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Fractions and PercentsTo write a fraction as a percent, first divide the numerator by the denominator to get the decimal.

14

5 1 4 4, or 0.25, or 25%

5. Convert each fraction to the nearest percent.

a)12

5 1 4 2 c) 7

10 5 4

� � 5 , or % 5 , or %

b)34

5 4 d)18

5 4

� 5 , or % 5 , or %

6. Express each percent as a fraction in simplest terms.

a) 10% 5 10

100, or d) 8% 5 , or

b) 25% 5 , or e) 95% 5 , or

c) 5% 5 , or f) 64% 5 , or

Using the Order of OperationsWhen performing more than one operation, do multiplication and division before addition and subtraction.

7. Calculate.

a) 4 1 9 1 3 3 5 5

b) 12.8 2 3.6 1 2 3 6.1 5

c) 6 1 0.5 3 21 4 7 5

d) 12 1 0.8 3 17.5 4 3.5 5

e) 5 3 2 1 4 3 3 5

f) 15.6 1 0.9 2 2 3 1.4 5

g) 15 2 2.4 4 6 1 1.8 5

To find out if your calculator follows the order of operations, enter 5 1 7 3 3 5

If the result is 26, your calculator follows the order of operations.

Tech Tip

6NEL Apprenticeship and Workplace 12: Review of Essential Skills

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Adding and Subtracting IntegersTo add or subtract integers, think of a number line.

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Move right to add apositive number or

subtract a negative one.

Move left to add anegative number or

subtract a positive one.

6543210�1�2�3�4�5�6

0 � (�4) � �4, or 0 � 4 � �4 0 � 4 � 4, or 0 � (�4) � 4

1. Add or subtract.

a) 1 1 (24) 5 d) 2 2 (23) 5

b) 22 1 4 5 e) 25 1 2 5

c) 23 2 (23) 5 f) 22 2 3 5

Multiplying and Dividing Integers 2. Multiply or divide.

a) (7)(26) 5 d) 248 4 8 5

b) (25)(8) 5 e) 32 4 (24) 5

c) (27)(29) 5 f) 260 4 (210) 5

Using a Coordinate Grid 3. What are the coordinates of each point?

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x

y4

2

–2

–4

–4–6 –2 62 40

AC

D

FE

B

A 

B 

C 

D 

E 

F 

( , )

( , )

( , )

( , )

( , )

( , )

Linear Relations4

When you multiply or divide two integers with the same sign, the result is positive. When you multiply or divide two integers with different signs, the result is negative.

Hint

7NEL Chapter 4 Linear Relations

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4. a) Graph the points in the table of values.

x 24 0 4 6 8

y 22 0 2 3 4

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x

y

4

6

8

2

–2

–4

–6

–8

–4–6–8 –2 2 4 6 80

b) Use points (0, 0) and (4, 2) to calculate the slope of your graph.

Slope 5 riserun

5 y2 2 y1

x2 2 x1

5 2 2 0

2

5 , or

Extending Patterns 5. Tashia works at a clothing store. She earns $11/h. How much

would Tashia earn for 20 h of work?

Total earnings 5 ($ /h)( h)

5 $ Tashia would earn $ .

6. Write a rule that describes each number pattern.

Pattern Ruleinwords Ruleinequationform

a) x 21 0 1 2

y 23 0 3 6

Multiply x by to get y. y 5 x

b) x 21 0 1 2

y 24 1 6 11

Multiply x by and add 1 to get y.

y 5 x 1 

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Working with Money 1. Order the prices from least to greatest.

a) $14.25, $11.08, $14.55, $13.99, $15.00, $13.25

$ , $ , $ , $ , $ , $

b) $951.80, $599.27, $967.12, $1059.02, $959.99

$ , $ , $ , $ , $

c) $26 154, $24 923, $24 575, $26 213, $24 557, $24 739

$ , $ , $ , $ , $ , $

d) $12 650, $14 001, $120 065, $12 490, $11 908, $14 010

$ , $ , $ , $ , $ , $

2. Add.

a) $732 1 $208 1 $96 1 $342 5 $

b) $1849 1 $3001 1 $894 1 $472 1 $25 5 $

c) $6304 1 $410 1 $6000 1 $506 1 $9 5 $

d) $23 418 1 $256 1 $18 005 1 $1682 5 $

3. Subtract.

a) $9832 2 $509 5 $ e) $1000 2 $309 5 $

b) $8451 2 $6223 5 $ f) $44 002 2 $31 282 5 $

c) $7092 2 $6931 5 $ g) $10 900 2 $10 741 5 $

d) $10 000 2 $5294 5 $ h) $100 052 2 $96 725 5 $

Calculating the Percent 4. Calculate each percent to the nearest cent.

a) 10% of $650.00 5 $ e) 115% of $200 5 $

b) 7% of $18.95 5 $ f) 108% of $1100 5 $

c) 73% of $25.00 5 $ g) 114.2% of $17 050 5 $

d) 9.2% of $6.75 5 $ h) 112.08% of $3412.50 5 $

5 Career Planning

9NEL Chapter 5 Career Planning

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Solving Percent Problems 5. Deshi’s salary is $42 750/yr. About 33% of his salary is

subtracted to pay taxes and other deductions.

a) How much money is deducted per year?

33% of $42 750 5 $

b) What is Deshi’s net income after deductions?

100% 2 33% 5 %

% of $42 750 5 $

Comparing Income and Expenses 6. Karen works at a miniature golf course. She shares an

apartment and expenses with a roommate.

a) Complete Karen’s monthly budget.

Monthlyincome

Karen’s annual take-home pay is $19 200.

$19 200 4 12 mo/yr 5 $

Monthlyexpenses

Fixed Variable

rent $450.00

telephone, television, and Internet $ 60.00

utilities (water, gas, and electricity) $ 97.50

bus pass $ 55.00

savings (10% of income) $

groceries $275.00

clothing $ 65.00

health and personal care $ 95.00

entertainment $100.00

Totalfixedexpenses$ Totalvariableexpenses$

Totalexpenses$

income of $ 2 expenses of $ 5

b) Which is greater: Karen’s income or her expenses? How much greater is it?

Karen’s is greater than her .

It is $ greater.

c) Suppose Karen’s take-home pay increased by $1500 for the year and she started saving 12% of her income. Would her income or expenses be greater? How much greater would it be?

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Comparing Payment Schedules 1. Calculate each payment to the nearest cent.

a) $20 000/yr 5 $ /mo e) $435/wk 5 $ /yr

b) $4350/yr 5 $ /wk f) $127.50/mo 5 $ /yr

c) $658/yr 5 $ /biweekly g) $6/d 5 $ /yr

d) $32 120/yr 5 $ /d h) $221/biweekly 5 $ /yr

Using Scatter Plots 2. This graph shows the amount of money

that a magazine company earns from subscriptions.

a) How much does the company earn from 100 subscriptions?

$

b) How many subscriptions must the company sell to earn more than $20 000?

The company must sell more than

subscriptions.

c) How much do the company’s earnings increase each time the number of subscriptions increases by 100?

Earnings increase by $ each time the number of subscriptions increases by 100.

d) How much does the company earn from one subscription?

earnings from 100 subscriptions 4 100 5 $

The company earns $ from one subscription.

e) What equation describes this linear relation?

Amount earned 5 $ (number of subscribers)

f) Is the data in the scatter plot discrete or continuous? Explain.

g) Why are the points not joined on the graph?

Am

oun

t ea

rned

($)

Number of subscribers100 200 300 400 500

25 000

20 000

15 000

10 000

5000

0

Money Earned from Subscriptions

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Operating a Small Business61 yr (year)5 365 d (days)5 52 wk (weeks)5 12 mo (months)Biweekly means every 2 wk.

Hint

11NEL Chapter 6 Operating a Small Business

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Comparing Values 3. Fill in each box with . or ,. Estimate to check your results.

a) $23 057 1 $11 651 $34 000

b) 4($751.12) 1 $921.75 $5000

c) 5($206.98) 1 9($29.99) $1500

d) $13 500 4 12 2 $436.97 $500

Creating a Scatter Plot 4. A company charges $40/wk for computer rentals. The

company also charges $20 for insurance at the beginning of each rental contract.

a) What equation describes this linear relation?

Total cost 5 cost of insurance 1 (cost/wk)(number of weeks)

5 $ 1 ($ /wk)(number of weeks)

b) Complete the table of values

Numberofweeks 1 2 3 4 5 6

Totalcost($) 60 100 140 180

c) Create a scatter plot to represent the relation.

d) Should you join the points on your graph? Explain.

5. a) Use the scatter plot from Question 4. How much would it cost to rent a computer for 8 wk?

It would cost $ .

b) Did you interpolate or extrapolate for Part a?

c) How can you calculate the cost for 8 wk without using the graph?

To

tal c

ost

($)

Number of weeks2 4 6 8

200

240

280

160

120

80

40

0

Cost of Computer Rental

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PolygonsIdentifying Polygons 1. Circle the polygons.

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Classifying Triangles

Classifyingbysidelengths Classifyingbyanglemeasures

• equilateral triangle: three equal sides

• isosceles triangle: only two equal sides

• scalene triangle: no equal sides

• acute triangle: every angle , 908

• obtuse triangle: one angle . 908

• right triangle: one angle 5 908

2. Classify each triangle.

Measure the side lengths and the interior angles. Fill in the blanks.

a)

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There are equal sides,

so the triangle is .

The angle measures are ,

, and , so the

triangle is .

b)

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There are equal sides, so the

triangle is .

The angle measures are ,

, and , so the triangle

is .

7A polygon is a closed 2-D shape with straight sides.

Hint

13NEL Chapter 7 Polygons

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Drawing Diagonals 3. Draw as many diagonals as possible in each polygon.

One diagonal is drawn for you. How many diagonals can you draw?

a)

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diagonals

b)

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diagonals

Drawing Angles 4. Draw the other arm of this angle so that the angle

measures 80°.

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Working with Transversals 5. Use the diagram below. What is each angle measure?

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A

B

C

DX

Y

F

E125°

125°

a) ∠AEF 5 8� d) ∠CFY 5 8

b) ∠BEF 5 8� e) ∠EFD 5 8

c) ∠XEB 5 8� f) ∠DFY 5 8

6. Use the diagram from Question 5. How can you tell that AB is parallel to CD? ∠XEA ∠EFC

Opposite angles are equal. Angles that form a straight line have the sum 1808.

Hint

A diagonal is a line segment joining two vertices that are not next to each other.

Hint

14NEL Apprenticeship and Workplace 12: Review of Essential Skills

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Working with Line Symmetry 1. Draw the lines of symmetry in these polygons. Circle the

polygons that have one or more lines of symmetry.

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triangle pentagon kite

2. a) Use the dotted line as a line of symmetry. Sketch the other half of this polygon for the line of symmetry.

b) What is one name of this polygon?

Working with Coordinate Grids 3. a) Graph the points in the table of values.

x 25 1 21 23

y 24 24 2 2

b) Connect the points in order with straight lines. What are two names for the polygon?

c) Draw a line of symmetry in the polygon. What is the equation of this line?

x 5

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x

y

4

6

8

2

–2

–4

–6

–8

–4–6–8 –2 2 4 6 80

Transformations8If you fold a 2-D shape along a line of symmetry, the two halves match. Some shapes do not have a line of symmetry.

Hint

15NEL Chapter 8 Transformations

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Solving Multiplication Equations 4. Solve.

a) 4 p 5 36 c) 0.8 c 5 1.2

 p 5 36 4 4

 p 5

b) 5 n 5 150 d) 1.6 t 5 2.56

5. On an architect’s drawing, 4 cm represents 100 cm of actual distance. Two points on the drawing are 12 cm apart.

a) What is the scale factor for the drawing?

(scale factor)(drawing distance) 5 actual distance

(scale factor)(4 cm) 5 100 cm

Scale factor 5 100 cm 4 4 cm, or

b) What actual distance is represented by 12 cm on the drawing?

(scale factor)(12 cm) 5 actual distance

( )(12 cm) 5 cm

The actual distance represented by 12 cm is cm.

Working with Similar Shapes 6. Are these triangles similar? Explain how you know.

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B

A

C

40°

70°

70°

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X

ZY80°

60°

40°

Polygons are similar if the corresponding angles are equal and the corresponding sides are enlarged or reduced by the same scale factor.

Hint

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Working with Trigonometric Ratios 1. The three trigonometric ratios

for right triangles are the sine, cosine, and tangent ratios. Record these ratios for ∠ F.

a) sin F 5opposite

hypotenuse, or

b) cos F 5adjacent

hypotenuse, or

c) tan F 5oppositeadjacent

, or

2. What is the measure of ∠ F in the triangle above? Write your answer to the nearest degree. Label the triangle.

sin F 5 opposite

hypotenuse ,

so ∠ F 5�sin21a oppositehypotenuse

b

sin21a oppositehypotenuse

b 5 sin21° ¢

5 sin21( )

5 8

The measure of ∠ F is 8.

3. What is the measure of∠ E in the above triangle?

1808 2 908 2 ∠ F 5 ∠ E 1808 2 908 2 8 5 ∠ E

8 5 ∠ EThe measure of ∠ E is 8.

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E

D F

71 ft35 ft

62 ft

Trigonometry9

If you know the sine, cosine, or tangent ratio for an angle, you can use the 2nd sin , 2nd cos , or 2nd tan keys on a calculator to determine the angle measure. Make sure that the calculator is in degree mode.

Tech Tip

The 2nd sin keys on a calculator may be labelled sin21 .

Hint

The sum of the measures of the angles in a triangle is always 1808.

Hint

17NEL Chapter 9 Trigonometry

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Solving Equations 4. Solve for t.

a) tan 408 5 t2

2(tan 408) 5 2a t2b

(tan 408) 5 t

5 t

b) sin 658 5 11.8

t

t(sin 658) 5 ta11.8tb

t(sin 658) 5 11.8

t 5 4 sin 658

t 5

5. Solve for n.

a) 3

tan 208 5

n10

10a 3tan 208

b 5 10a n10b

tan 208

5 n

5 n

b) 59

5 cos 408

n

na59b 5 nacos 408

n b

5n 5 cos 408

9° 5n ¢ 5 9( )

5 9( )

n 5 9( ) 4

n 5

Working with Squares and Square Roots 6. Simplify.

a) 722 5 c) !225 5

b) 63.22 5 d) !1.69 5

7. How long is side ST, to the nearest inch?

Use the Pythagorean theorem.

682 1 432 5 ST 2

5 ST 2

5 ST

Side ST is in. long, to the nearest inch.

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T

S R

43 in.

68 in.

When the variable is a denominator, use multiplication to change it to a numerator.

Hint

To square a number, use the x2 key or use yx and enter the

exponent 2. To determine a square root, use !x or ! .

Tech Tip

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Probability10Working with Decimals and Percents 1. Mark each number on the number line.

50%, 0.878, 87.8%, 35%, 0.5, 0.35

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0%0.0

100%1.0

Writing Fractions in Simplest Terms 2. Write each fraction in simplest terms.

a)9

12 5

9 4 312 4 3

5

d)1248

5 4

4

5

b)8

24 5

4

4

5

e)3636

5 4

4

�5 , or

c)1050

5 4

4

5

f)1845

5 4

4

5

3. Write each fraction as a whole number.

a)99

5 c) 255

5

b)186

5 d) 08

5

19NEL Chapter 10 Probability

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Expressing Fractions as Decimals 4. Match each fraction with the correct decimal.

45

0.1875

425

0.16

632

0.3666…

1130

0.8

Creating a Frequency Table 5. Bridget is a security officer. She made a frequency table to

keep track of the people who entered a building.

a) Complete the last row of the frequency table.

NumberofPeopleWhoEnteredtheBuilding

12a.m.to1a.m.

1a.m.to2a.m.

2a.m.to3a.m.

3a.m.to4a.m.

4a.m.to5a.m.

Tally l l l l l l l l l l l l l l l l l ll l l l l l l l

l l l l l l l l l l l l l l l l l l

Number 12

b) In what time interval did the greatest number of people enter the building?

c) How many people entered the building between 12 a.m. and 5 a.m.?

Writing Ratios 6. Write each ratio.

a) triangles : rectangles 5 3 :

b) triangles : quadrilaterals 5 :

c) quadrilaterals : rectangles 5 : ,

or : in simplest terms

d) triangles : polygons 5 :

e) polygons : hexagons 5 :

f) polygons : rectangles: 5 : ,

or : in simplest terms

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To write a fraction as a decimal, divide the numerator by the denominator.

78

5 7 4 8

5 0.875

Hint

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Working with Place Value 1. Wes wants to buy a home that costs $254 500.

a) When you say this number, you say thousand

hundred.

b) Write the number 254 500 in the place-value chart.

Hundredthousands

Tenthousands Thousands Hundreds Tens Ones

2. Record these home prices in order from least to greatest.

$204 500, $301 500, $210 000, $264 250, $204 850

$ , $ , $

$ , $

Calculating with Money 3. Calculate each percent, to the nearest cent.

a) 25% of $125 000

5 (0.25)($125 000)

5 $

d) 10.5% of $2267

5 $

b) 70% of $325 150

5 $

e) 6.8% of $13 750

5 $

c) 9% of $17 228

5 $

f) 0.9% of $175 600

5 $

4. Rosalie bought a car for $21 990. Her down payment was 5% of the purchase price.

a) How much was Rosalie’s down payment?

5% of $21 990 5 $

Rosalie’s down payment was $ .

b) How much did Rosalie owe on her car?

Rosalie owed $ .

Owning a Home11

21NEL Chapter 11 Owning a Home

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Working with Payments 5. Calculate each payment

a) $137 500/yr 5 $ /mo

b) $528/biweekly 5 $ /yr

c) $38 325/yr 5 $ /wk

d) $1671/mo 5 $ /yr

e) $14 400/yr 5 $ /biweekly

f) $6/d 5 $ /yr

6. Jean-Paul is saving money to buy a keyboard. It costs $599.88. He plans to pay cash for the keyboard in 8 mo.

How much must Jean-Paul save per month?

$599.88 4 8 mo 5 $ /mo

Jean-Paul must save $ /mo.

7. Olivia is saving money to buy a used car. It costs $7500, including taxes. She plans to pay cash for the car in 2 yr.

How much must Olivia save per week?

8. Clara owns an older home that needs a new roof. The roof will cost $4900. Clara has two choices. • She can pay now.• She can make monthly payments of $152.50 for 3 yr.

a) Clara decides to make monthly payments. How much will Clara pay for the new roof?

(36 mo)($152.50/mo) 5 $

Clara will pay $ for the new roof.

b) How much interest will Clara pay?

$ 2 $4900 5 $

Clara will pay $ in interest.

Biweekly means every 2 wk. There are 52 wk in a year, so there are 26 biweekly payments in a year.

Hint

22NEL Apprenticeship and Workplace 12: Review of Essential Skills

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