Biggar High School

Mathematics Department

S1 Block 1

Revision Booklet

GOLD

2

Contents

Page MNU 3-01a

MNU 3-03a

MNU 3-03b

Whole Number Calculations & Decimals 3

MTH 3-05b

MTH 3-06a

MTH 4-06a

Multiples, Factors, Powers, Primes & Roots 6

MNU 3-20a

MTH 3-20b

MTH 3-21a

MNU 4-20a

MTH 4-20b

Displaying Data & Statistics 8

MTH 3-17a

Angles 12

MNU 3-04a

MTH 3-18a

MTH 4-18a

Integers 14

MTH 3-14a

MTH 3-15b

Algebra 1 16

Answers 17

3

Whole Number Calculations & Decimals

Success Criteria: MNU 3-01a, MNU 3-03a & MNU 3-03b I can round a number to any decimal places.

I can round a number to any significant figures.

I know the meaning of “sum” and “product”.

I can use BIDMAS to correctly answer a calculation.

I can multiply and divide whole numbers up to 3 digits and can use long

multiplication and division.

I can multiply and divide numbers by multiples of 10.

I can mentally recall times tables up to 12.

1.

2.

3.

4.

Round the following to the nearest whole number:

a) 2.6 b) 8.1 c) 4.5 d) 15.9 e) 20.3

f) 67.8 g) 9.5 h) 7.11 i) 2.92 j) 0.6

k) 14.22 l) 50.57 m) 399.9 n) 6.001 o) 1.345

Round the following to one decimal place:

a) 1.36 b) 0.91 c) 0.55 d) 5.92 e) 2.31

f) 9.89 g) 19.55 h) 3.95 i) 0.99 j) 100.63

k) 1.282 l) 5.561 m) 3.919 n) 12.049 o) 11.453

Round the following to two decimal places:

a) 0.189 b) 0.994 c) 2.177 d) 5.391 e) 0.531

f) 10.105 g) 13.201 h) 7.495 i) 30.199 j) 74.333

k) 101.389 l) 0.999 m) 42.131 n) 132.475 o) 9.999

Round the following to 1 significant figure:

a) 17.051 b) 6.08 c) 0.00036 d) 0.909 e) 10.5

f) 40.50 g) 0.680 h) 0.03000 i) 23.045 j) 0.00202

4

5.

6.

7.

8.

Round the following to two significant figures:

a) 49.483 b) 50790 c) 3456 d) 245790 e) 7008

f) 77.77 g) 365.4 h) 1.789 i) 808.65 j) 20.09

Answer the following questions mentally and as quickly as you can:

a) 5 x 4 b) 2 x 4 c) 6 x 5

d) 3 x 7 e) 9 x 8 f) 2 x 7

g) 1 x 7 h) 0 x 4 i) 7 x 7

j) 10 x 5 k) 12 x 6 l) 11 x 11

m) 5 x 7 n) 8 x 4 o) 3 x 8

p) 9 x 4 q) 4 x 3 r) 8 x 6

s) 2 x 2 t) 6 x 3 u) 9 x 0

v) 11 x 5 w) 8 x 12 x) 10 x 2

Calculate the sum and product of each set of numbers below:

a) 4 and 5 b) 2 and 9 c) 5 and 5 d) 12 and 4 e) 20 and 0.45

f) 30 and 34 g) 25 and 10 h) 45.3 and 60 i) 22.1 and 19 j) 101.3 and 45

Calculate:

a) 2 + 7 x 3 b) 3 x 3 – 6 c) 4 – 1 x 3 d) 7 x 7 – 20

e) 2 x 5 + 2 x 3 f) 6 x 3 – 9 x 2 g) 12 x 3 – 8 x 3 h) 5 x 9 – 19 x 2

i) 3 + 18 ÷ 3 j) 18 ÷ 3 – 5 k) 7 – 21 ÷ 7 l) 50 ÷ 5 – 8

m) 32 ÷ 8 + 10 x 3 n) 8 x 3 – 100 ÷ 10 o) 200 ÷ 10 – 100 ÷ 50 p) 3.4 + 9 x 2

q) 1.3 x 2 – 2.05 r) 14.7 – 2.1 x 3 s) 3 x 7.1 – 20.5 t) 5.9 + 1.12 x 3

u) 6.7 x 2 – 11.9 v) 6.4 ÷ 8 – 0.35 w) 5.7 – 9.1 ÷ 7 x) 4.32 x 4 ÷ 2 + 5

5

9.

10.

11.

Calculate:

a) 426 b) 391 c) 667 d) 923

x 4 x 7 x 9 x 8

e) 345 f) 193 g) 451 h) 784

x 24 x 18 x 44 x 22

Calculate:

a) 5 355 b) 6 252 c) 8 584 d) 7 672

e) 12 816 f) 16 864 g) 14 1246 h) 11 1507

Calculate:

a) 12 x 100 b) 22 x 100 c) 157 x 10 d) 75 x 10

e) 300 x 1000 f) 900 x 100 g) 510 ÷ 10 h) 8100 ÷ 100

i) 8000 ÷ 10 j) 19000 ÷ 1000 k) 12340 ÷ 10 l) 90000 ÷ 100

m) 53 x 200 n) 19 x 60 o) 105 x 300 p) 71 x 4000

q) 320 ÷ 40 r) 6000 ÷ 600 s) 12000 ÷ 500 t) 720000 ÷ 9000

u) 400 x 40 v) 9000 x 700 w) 20000 x 7000 x) 500000 x 20

6

Multiples, Factors, Powers, Primes & Roots

Success Criteria: MTH 3-05a & b, MTH 3-06a & MTH 4-06a

I can use prime decomposition to calculate HCF & LCM.

I can define prime and composite numbers.

I can express a composite number as a product of prime numbers.

I can calculate square roots of appropriate numbers.

1.

2.

3.

4.

5.

6.

Write down all the square numbers between 1 and 200.

Write down all the prime numbers between 1 and 100.

Find the HCF of these numbers:

a) 24 and 36 b) 18 and 27 c) 18 and 45 d) 22 and 44 e) 100 and 500

f) 54 and 56 g) 81 and 63 h) 15 and 75 i) 250 and 1250 j) 96 and 144

Find the LCM of :

a) 5 and 6 b) 3 and 4 c) 6 and 9 d) 10 and 12 e) 15 and 20

f) 7 and 4 g) 2 and 8 h) 9 and 5 i) 3 and 9 j) 10 and 13

Which of these numbers are prime? Give a reason for your answer.

a) 73 b) 87 c) 89 d) 21 e) 33

f) 47 g) 51 h) 1 i) 19 j) 91

Calculate without using a calculator:

a) 2² b) 4² c) 7² d) 10² e) 12²

f) 2³ g) 4³ h) 14 i) 91 j) 1000

k) 92 l) 34 m) 1100 n) 82 o) 40000

p) 62 q) 112 r) 24 s) 25 t)33

7

7.

8.

9.

10.

Work out using a calculator:

a) 20² b) 55² c) 19² d) 17² e) 150²

f) 22³ g) 47³ h) 904 i) 210 j) 37

k) 1100 l) 38 m) 1003 n) 106 o) 45

p) 612 q) 332 r) 2244 s) 853 t)3004

Express these numbers as a product of prime factors. Use a factor tree to help.

a) 20 b) 25 c) 60 d) 18 e) 100 f) 40

g) 80 h) 160 i) 210 j) 512 k) 1024 l) 2048

Find the answer without using a calculator:

a) b) c) d) e) f)

g) h) i) j) k) l)

m)

n)

o)

p)

q)

r)

Calculate the following using a calculator, rounding your answer to 2 decimal places:

a) b) c) d) e) f)

g) h) i) j) k) l)

m)

n)

o)

p)

q)

r)

8

Displaying Data & Statistics

Success Criteria: MNU 3-20a, MTH 3-20b & MNU 4-20a I can identify misleading information.

I can interpret pictograms, frequency tables, bar charts, line graphs, pie charts

and scatter graphs within context.

I can interpret data, make my own conclusions and explain my reasoning.

I can construct pictograms, frequency tables, bar charts, line graphs, pie charts

and scatter graphs.

I can interpret trends and correlations.

I can construct frequency tables including cumulative and relative frequencies.

I can explain why data from particular sources may or may not be reliable.

I can explain how the sample size can affect the reliability of the data.

I can calculate upper and lower quartiles of a data set.

I can interpret a set of data, drawing conclusions from any trends or skew.

1.

Kate keeps a record of her last 10 spelling test scores.

a) What was Kate’s score in week 3?

b) In which 2 consecutive weeks did Kate’s score stay the same?

c) What was Kate’s best score?

d) How much did her score improve between weeks 4 and 5?

9

2.

3.

4.

At a sci-fi convention, attendees were surveyed about their favourite Science Fiction

films. The results are shown below:

a) Collect this information in a frequency table. Include a cumulative frequency column.

b) Display this information in a bar graph.

c) Write a conclusion on the data you have collected and displayed.

As part of the school’s healthy eating campaign, 400 pupils were asked to name their

favourite fruit:

Fruit Number of Pupils

Apple 60

Banana 80

Orange 100

Grapes 100

Cherries 20

Pineapple 40

Display this information accurately in a pie chart. You may use a protractor.

State which form of correlation each of these scatter graphs shows:

a) b) c)

10

5.

6.

For each of the following data displays, state what makes them either misleading,

robust or vague:

The scatter graph shows the

relationship between the height of

sprinters in centimetres and their race

time in seconds for the 100 metres race.

a) Is there a correlation between height

and race time?

b) If so, write a statement about the

height of sprinters and their race time.

11

7.

8.

9.

Shane asked 8 of his closest friends what their favourite sport was. Here are his

results:

a) How did bias and sample size affect

his data?

b) What would your suggestions be for

improving Shane’s survey?

A group of business men and women who earn over £150,000 a year were asked their

opinions on paying 50% tax on all earnings over £150,000. The pie chart shows the

results of the survey:

a) How could bias affect this survey?

b) What would your suggestions be for

carrying out a fairer survey?

Calculate the mean, median, mode, range and quartiles for each set of data:

a) 78 82 74 45 68 75 93 54 61 70 48 66 62 51 77

b) 12 24 21 16 8 9 3 31 18 27 35 41 26 12 17 6 5 19 29

c) 153 147 160 146 162 158 159 149 152 150 163

12

Angles

Success Criteria: MTH 3-17a I can calculate missing angles round a point.

I can calculate supplementary and complementary angles.

I can calculate vertically opposite angles.

I can calculate corresponding and alternate angles.

I can calculate the missing angles in a variety of triangles and quadrilaterals.

I can calculate the missing angles in a variety of polygons.

1.

Calculate missing angle x in each diagram below:

13

2.

3.

4.

5.

6.

State what is meant by the terms “supplementary” and “complementary”.

Calculate missing angle x in each diagram below:

Copy the diagram shown and fill in all missing

angles.

These are all regular polygons. Calculate the interior angle in each.

Calculate the missing interior angle in this

polygon:

a) b) c) d) e)

14

Integers

Success Criteria: MTH 3-18a, MTH 4-18a, & MTH 3-

04a I can perform simple integer calculations using all four operations.

I can interpret and plot 3D co-ordinates.

I can interpret and plot co-ordinates within all four quadrants.

1.

2.

3.

4.

Calculate:

a) 3 – 4 b) 4 – 8 c) 1 – 5 d) 3 – 7

e) 10 – 20 f) 21 – 30 g) -1 + 2 h) -5 + 7

i) -8 + 5 j) -9 + 8 k) -10 – 5 l) -3 - 27

a) 7 + (-4) b) 10 + (-3) c) 9 – (-12) d) 5 + (-5)

e) 10 – (-11) f) 35 + (-20) g) (-8) + (-2) h) (-3) + (-7)

i) (-8) + (-7) j) (-20) + -(9) k) (-3) + (-5) l) (-50) + (-50)

a) 5 – (-5) b) 0 – (-6) c) 4 - (-1) d) 3 – (-9)

e) 10 – (-11) f) 44 – (-11) g) (-9) – (-10) h) (-4) – (-7)

i) (-12) – (-11) j) (-1) – (-1) k) (-14) - (-12) l) (-100) – (-99)

a) 3 x (-5) b) 3 x (-7) c) 2 x (-1) d) (-8) x (-7)

e) (-1) x 5 f) (-12) x 3 g) (-5) x (-4) h) (-9) ÷ 3

i) (-12) ÷ 6 j) (-21) ÷ (-3) k) (-36) ÷ (-9) l) (-40) ÷ 8

15

y

x

z

F E

GA

DC

O

B

5.

6.

7.

8.

The temperature at 12pm in Inverness was 5C. By 9pm, the temperature had fallen by

11C. What was the temperature at 9pm?

Write down the co-ordinates of points A to K shown on the co-ordinate grid below:

The diagram shows a cuboid drawn on a 3-D grid.

Vertex A has coordinates (5, 2, 3).

a) Write down the coordinates of vertex E.

B and D are vertices of the cuboid.

b) Work out the coordinates of the

midpoint of BD.

Draw a set of co-ordinate axes with x and y values ranging from -5 to 5.

a) Plot the points W(3,3), X(-2,3) and Y(-3,-3).

b) Plot a fourth point Z to create a parallelogram.

c) State the co-ordinates of Z.

I

16

Algebra 1

Success Criteria: MTH 3-15a & MTH 4-15a I can collect algebraic terms including square powers.

I can add, subtract, multiply and divide algebraic terms.

I can substitute a value into an algebraic formula and calculate it using BIDMAS.

1.

2.

3.

Simplify the following expressions:

a) a + a + a b) b + b – b c) 3c – c

d) 3d + 4d e) 3e – e + e f) 10f + 20f

g) 18g – 12g h) h + 9h i) 15i – 12j + 9i

j) 19j + 6j – 20j k) 4k + 10k l) 100x – 55x

m) x + y + x n) 7x + 2y - 5x o) 21x – 30 + 9x

p) 18x + 10y – 5y q) 4a + 9b + 32 + 6b – a r) 100 + 6a – 80 + 14a – 3b

s) –5 + x + x + 13 t) 5y + 8y + 4z u) 8x2 + 2x2 + 7x

v) 9x2 + 10 + 4x2 + 7 w) 7x2y + 8 + (–5x2y) + 4 x) 6x3 + 9x + 10x3 + 4x2

y) 10x4 + (–8x3) + 4x3 + (–5x2) + 3x z) 6x2y – 2x2y – 10x2y + 8x2y

Simplify these expressions:

a) 4a x 5a b) 2c² x c

c) 16f³ ÷ 2f d) 4m³ x 4m

e) 8p x 7m f) (3s x 2s) ÷ s²

g) h³x 2ph h) 9t² ÷ 3t

If a = 3, b = 7 and c = 4, evaluate:

a) a + b + c b) 3a c) 2b

d) 10c e) a + 2b f) 4c + 2b

g) b – a h) 5c – 5a i) ab

j) bc k) a² l) a² + c

17

Answers Whole Number Calculations & Decimals MNU 3-01a, MNU 3-03a & MNU 3-03b

1.

2.

3.

4.

5.

6.

7.

8.

a) 3 b) 8 c) 5 d) 16 e) 20 f) 68 g) 10 h) 7 i) 3

j) 1 k) 14 l) 51 m) 400 n) 6 o) 1

a) 1.4 b) 0.9 c) 0.6 d) 5.9 e) 2.3 f) 9.9 g) 19.6 h) 4.0 i) 1.0

j) 100.1 k) 1.3 l) 5.6 m) 3.9 n) 12.0 o) 11.5

a) 0.19 b) 0.99 c) 2.18 d) 5.39 e) 0.53 f) 10.11

g) 13.20 h) 7.50 i) 30.20 j) 74.33 k) 101.39 l) 1.00

m) 42.13 n) 132.48 o) 10.00

a) 20 b) 6 c) 0.0004 d) 0.9 e) 10 f) 40 g) 0.7

h) 0.03 i) 20 j) 0.002

a) 49 b) 51000 c) 3500 d) 250,000 e) 7010 f) 78 g) 370

h) 1.8 i) 810 j) 20

a) 20 b) 8 c) 30 d) 21 e) 56 f) 14 g) 7 h) 0 i) 49

j) 50 k) 72 l) 121 m) 35 n) 32 o) 24 p) 36 q) 12 r) 48

s) 4 t) 18 u) 0 v) 55 w) 96 x) 20

a) 9, 20 b) 11,18 c) 10,25 d) 16, 48 e) 20.45, 9

f) 64, 1020 g) 35, 250 h) 105.3, 2718 i) 41.1, 419.9 j) 146.3, 4558.5

a) 23 b) 3 c) 9 d) 29 e) 16 f) 0 g) 12 h) 7 i) 9

j) 1 k) 4 l) 2 m) 34 n) 14 o) 18 p) 21.4 q) 0.55 r) 8.4

s) 0.8 t) 9.26 u) 1.5 v) 0.45 w) 4.4 x) 13.64

18

9.

10.

11.

a) 1704 b) 2737 c) 6003 d) 7384 e) 8280 f) 3474 g) 19844

h) 17248

a) 71 b) 126 c) 73 d) 96 e) 68 f) 54 g) 89 h) 137

a) 1200 b) 2200 c) 1570 d) 750 e) 300,000

f) 90,000 g) 51 h) 81 i) 800 j) 19

k) 1234 l) 900 m) 10,600 n) 1140 o) 31,500

p) 284,000 q) 80 r) 10 s) 24 t) 80

u) 16,000 v) 6,300,000 w) 140,000,000 x) 100,000,000

Answers Multiples, Factors, Powers, Primes & Roots MTH 3-05a & b, MTH 3-06a & MTH4-06a

1.

2.

3.

4.

5.

6.

1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196

2, 3, 5, 7, 11, 13, 17, 19, 23, 27, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

a) 12 b) 9 c) 9 d) 22 e) 100 f) 2 g) 9 h) 15 i) 250 j) 48

a) 30 b) 12 c) 18 d) 60 e) 60 f) 28 g) 8 h) 45 i) 9 j) 130

a) Prime b) Not Prime – divides by 3 c) Prime

d) Not Prime – divides by 3 e) Not Prime – divides by 3 f) Prime

g) Not Prime – divides by 3 h) Not Prime – by definition i) Prime

j) Not Prime – divides by 7

a) 4 b) 16 c) 49 d) 100 e) 144 f) 18 g) 64 h) 1 i) 9

j) 1 k) 81 l) 81 m) 1 n) 64 o) 1 p) 36 q) 121 r) 24

s) 48 t) 27

19

7.

8.

a) 400 b) 3025 c) 361

d) 289 e) 22,500 f) 10,648

g) 103,823 h) 65,610,000 i) 1024

j) 2187 k) 1 l) 6561

m) 1,000,000 n) 1,000,000 o) 1024

p) 3721 q) 1089 r) 2,517,630,976

s) 614,125 t) 8,100,000,000

a)

20

/ \

4 5

/ \

2 2

20 = 2 x 2 x 5

b)

25

/ \

5 5

25 = 5 x 5

c)

60

/ \

10 6

/ \ / \

2 5 2 3

60 = 2 x 2 x 3 x 5

d)

18

/ \

2 9

/ \

3 3

18 = 2 x 3 x 3

e)

100

/ \

10 10

/ \ / \

2 5 2 5

100 = 2 x 2 x 5 x 5

f)

40

/ \

10 4

/ \ / \

2 5 2 2

40 = 2 x 2 x 2 x 5

g)

80

/ \

8 10

/ \ / \

4 2 2 5

/ \

2 2

80 = 2 x 2 x 2 x 2 x 5

h)

160

/ \

2 80

/ \

8 10

/ \ / \

4 2 2 5

/ \

2 2

160 = 2 x 2 x 2 x 2 x 2 x 5

i)

210

/ \

10 21

/ \ / \

2 5 3 7

210 = 2 x 3 x 5 x 7

20

j)

512

/ \

2 256

/ \

2 128

/ \

2 64

/ \

2 32

/ \

2 16

/ \

2 8

/ \

2 4

/ \

2 2

512 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

k)

1024

/ \

2 512

/ \

2 256

/ \

2 128

/ \

2 64

/ \

2 32

/ \

2 16

/ \

2 8

/ \

2 4

/ \

2 2

1024 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

21

9.

10.

l)

2048

/ \

2 1024

/ \

2 512

/ \

2 256

/ \

2 128

/ \

2 64

/ \

2 32

/ \

2 16

/ \

2 8

/ \

2 4

/ \

2 2

2048 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

a) 5 b) 3 c) 2 d) 9 e) 7 f) 6 g) 8 h) 4 i) 1

j) 10 k) 13 l) 11 m) 1 n) 2 o) 3 p) 4 q) 5 r) 10

a) 44.55 b) 47.04 c) 27.68 d) 49.51 e) 104.64 f) 21.61 g) 2.65

h) 1.41 i) 2.24 j) 4.58 k) 14.14 l) 22.36 m) 1.44 n) 2.08

o) 2.80 p) 2.22 q) 4.64 r) 5.24

22

Answers

Displaying Data & Statistics MNU 3-20a, MTH 3-20b & MNU 4-20a

1.

2.

3.

a) 14 b) Weeks 3 & 4 c) 16 d) 2 marks

a)

Film Tally Frequency Cumulative Frequency

Star Wars |||| |||| 9 9

Star Trek |||| | 6 15

Back to the Future |||| 5 20

Ghostbusters || 2 22

Transformers |||| 4 26

b)

c) The most popular film was Star Wars and the least popular film was Ghostbusters.

The responses also show that 26 people were asked in total.

Apple

15%

Banana

20%

Orange

25%

Grapes

25%

Cherries

5%

Pineapple

10%

Pupils' Favourite Fruits

0

2

4

6

8

10

Star Wars Star Trek Back to the

Future

Ghostbusters Transformers

Num

ber

of A

ttend

ees

Science Fiction Film

23

4.

5.

6.

7.

a) Positive correlation

b) No correlation

c) Negative correlation

a) Misleading - y-axis values are in intervals of 1% and does not start at 0%

suggesting a larger change in score.

b) Vague – y-axis should have a range of 0 to 50, not 0 to 200.

c) Robust – Labels and percentages shown and accurate.

d) Misleading – Grid lines must be horizontal.

e) Vague – Not enough labels on y-axis.

f) Vague – Sectors should be labelled with percentages.

g) Vague – y-axis should be labelled.

h) Vague – No axes titles.

i) Vague – No information provided.

a) Yes.

b) Taller sprinters generally have a shorter race time. This is possibly due to a

longer leg length meaning that fewer strides are needed to finish the race.

a) Shane only asked 8 people – a small sample. He also asked his closest friends

who were most likely all boys who shared the same interests.

b) Ask a larger sample of people made up of both boys and girls.

24

8.

9.

a) Only people who earned over £150,000 per year were asked.

b) Ask a larger sample of people including those who earn less than £150,000 per

year.

Mean Median (Q2) Mode Range Q1 Q2

a) 66.9 68 No Mode 48 57.5 76

b) 18.9 18 12 38 10.5 26.5

c) 154.5 153 No Mode 17 149.5 159.5

Answers

Angles MTH 3-17a

1.

2.

3.

4.

5.

6.

a) 19° b) 40° c) 95° d) 65° e) 120° f) 150°

g) 115° h) 100° i) 68° j) 75° k) 30° l) 128°

Supplementary angles are any two angles that have a sum of 180°.

Complementary angles are any two angles that have a sum of 90°.

a) 108° b) 99° c) 67° d) 20° e) 100° f) 77°

a) 60° b) 120° c) 135° d) 108° e) 90° f) 77°

50°

126° 54°

54°

52°

74°

54°

54°

126°

25

Answers

Integers MTH 3-18a, MTH 4-18a & MTH 3-04a

1.

2.

3.

4.

5.

6.

7.

8.

a) -1 b) -4 c) -4 d) -4 e) -10 f) -9

g) 1 h) 2 i) 3 j) -1 k) -15 l) -30

a) 3 b) 7 c) 21 d) 0 e) 21 f) 15

g) -10 h) -10 i) -15 j) -29 k) -8 l) -100

a) 10 b) 6 c) 5 d) 12 e) 21 f) 55

g) 1 h) 3 i) -1 j) 0 k) -2 l) -1

a) -15 b) -21 c) -2 d) 56 e) -5 f) -36

g) 20 h) -3 i) -2 j) 7 k) 4 l) -5

-6°C

A(4,3) B(1,2) C(-3,4) D(-1,2) E(-2,-1) F(-4,-3)

G(-1,-2) H(4,-1) I(0,0) J(0,3) K(-3,0)

a) E(5,2,0) b) MBD(2.5, 1, 3)

a) Show your diagram to your teacher.

b) Show your diagram to your teacher.

c) Z(2,-3)

26

Answers

Algebra 1 MTH 3-15a & MTH 4-15a

1.

2.

3.

a) 3a b) 2b c) 2c d) 7d e) 3e f) 30f

g) 6g h) 10h i) 12i j) 5j k) 14k l) 45x

m) 2x + y n) 2x + 2y o) 30x – 30 p) 18x +5y q) 3a + 15b + 32

r) 20a – 3b + 20 s) 2x + 8 t) 13y + 4z u) 10x2 + 7x v) 13x2 + 17

w) 2x2y + 12 x) 16x3 + 4x2 + 9x y) 10x4 – 4x3 – 5x2 + 3x

z) 2x2y

a) 20a b) 2c3 c) 8f2 d) 16m4 e) 56mp f) 6

g) 2h4p h) 3t

a) 14 b) 9 c) 14 d) 40 e) 17 f) 30

g) 4 h) 5 i) 21 j) 28 k) 9 l) 13