If x=3 and y=0.5 then what is the value for z when z=(2x+1)(x+3y)?

27
If x=3 and y=0.5 then what is the value for z when z=(2x+1)(x+3y)?

Transcript of If x=3 and y=0.5 then what is the value for z when z=(2x+1)(x+3y)?

Page 1: If x=3 and y=0.5 then what is the value for z when z=(2x+1)(x+3y)?

If x=3 and y=0.5 then what is the value for z when

z=(2x+1)(x+3y)?

Page 2: If x=3 and y=0.5 then what is the value for z when z=(2x+1)(x+3y)?

Solve the linear equation 4(x-2)+3(2x-5)=1

Page 3: If x=3 and y=0.5 then what is the value for z when z=(2x+1)(x+3y)?

Given the equation x=x1+2x2, where x=34 and 2x1=16. What is the value

of x2?

0% 0%0%0%

1. 9

2. 26

3. 13

4. 18

Page 4: If x=3 and y=0.5 then what is the value for z when z=(2x+1)(x+3y)?

1 2 3 4 5

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Which of the following equations are linear?

313 xx1.

2)8(4)1(2 pp2.

02t3.

04

13 y

4.

562 r5.

Page 5: If x=3 and y=0.5 then what is the value for z when z=(2x+1)(x+3y)?

What are the roots of

-½, 3

½, 3

½, -

3

-½, -

3

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0372 2 xx

1. -½, 3

2. ½, 3

3. ½, -3

4. -½, -3

Page 6: If x=3 and y=0.5 then what is the value for z when z=(2x+1)(x+3y)?

When finding the roots of ax2+bx+c, if b2-4ac<0 then the quadratic has:

Tw

o re

al a

nd d

...

No re

al ro

ots.

One

real

, rep

e...

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1. Two real and distinct roots.

2. No real roots.

3. One real, repeated root.

Page 7: If x=3 and y=0.5 then what is the value for z when z=(2x+1)(x+3y)?

Find the roots of –x2+4x+1=0 to 4d.p.

0.2

361,

-4.2

36...

-0.2

361,

4.2

36...

-0.2

360,

4.2

36...

0.2

360,

-4,2

36...

0% 0%0%0%

1. 0.2361, -4.2361

2. -0.2361, 4.2361

3. -0.2360, 4.2360

4. 0.2360, -4,2360

Page 8: If x=3 and y=0.5 then what is the value for z when z=(2x+1)(x+3y)?

To 3dp use the quadratic formula to find the largest root of

142 2 xx

Page 9: If x=3 and y=0.5 then what is the value for z when z=(2x+1)(x+3y)?

What are the complex roots of

1 2 3

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0123 2 xx

jx3

2

6

1

1.

jx3

2

3

1

2.

jx 213.

Page 10: If x=3 and y=0.5 then what is the value for z when z=(2x+1)(x+3y)?

A linear expression multiplied by a quadratic expression always gives a

cubic expression.

0%0%

1. True

2. False

Page 11: If x=3 and y=0.5 then what is the value for z when z=(2x+1)(x+3y)?

If 3x3+4x2-x-2 = (x+1)×(a polynomial), what is the degree of the undefined

polynomial?

Firs

t

Sec

ond

Third

Fourth

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1. First

2. Second

3. Third

4. Fourth

Page 12: If x=3 and y=0.5 then what is the value for z when z=(2x+1)(x+3y)?

If 3x3+4x2-x-2 = (x+1)×(a polynomial), what must be the coefficient of x2 in this

unknown polynomial?

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1. 1

2. 2

3. 3

4. Impossible to know

Page 13: If x=3 and y=0.5 then what is the value for z when z=(2x+1)(x+3y)?

A cubic polynomial is multiplied by a quadratic polynomial. What is the

degree of the resulting polynomial?

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1. Third

2. Fourth

3. Fifth

4. Sixth

5. Don’t know

Page 14: If x=3 and y=0.5 then what is the value for z when z=(2x+1)(x+3y)?

A polynomial of degree n has at most n-1 roots.

Tru

e

Fal

se

0%0%

1. True

2. False

Page 15: If x=3 and y=0.5 then what is the value for z when z=(2x+1)(x+3y)?

Which of the following graphs represents a quadratic equation with

complex roots?

1 2 3 4

0% 0%0%0%

1. 2.

3. 4.

Page 16: If x=3 and y=0.5 then what is the value for z when z=(2x+1)(x+3y)?

Solve the simultaneous equations 3x+2y=4 and 2x+y=3Give the value for x

Page 17: If x=3 and y=0.5 then what is the value for z when z=(2x+1)(x+3y)?

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Which of the following systems of equations could

be represented by the graph?

14,124 xyxy1.

64

1,84 xyxy

2.

2

13,33 xyxy

3.

14,2428 xyxy4.

Page 18: If x=3 and y=0.5 then what is the value for z when z=(2x+1)(x+3y)?

Which of the following systems of equations could

be represented by the graph?

0% 0%0%0%

23

1,1

3

1 xyxy

1.

12186,393 xyxy2.

3

1

2

1

6

1,3

1

3

1 xyxy

3.

23,13 xyxy4.

Page 19: If x=3 and y=0.5 then what is the value for z when z=(2x+1)(x+3y)?

1 2 3 4

0% 0%0%0%

Which of the following could be represented by

the graph?

3183,16 xyxy1.

1xy2.

16,06

1

6

1 xyxy

3.

16 xy4.

Page 20: If x=3 and y=0.5 then what is the value for z when z=(2x+1)(x+3y)?

Using the graph, what is the x solution to the following

system of equations?y-3x=-10y+2x=5

1 2 3 4

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1. x=3.33

2. x=-1

3. x=3

4. x=2.5

Page 21: If x=3 and y=0.5 then what is the value for z when z=(2x+1)(x+3y)?

Multiplying or dividing both sides of an inequality by a negative number leaves

the inequality symbol unchanged.

1 2 3

0% 0%0%

1. True

2. False

3. Don’t know

Page 22: If x=3 and y=0.5 then what is the value for z when z=(2x+1)(x+3y)?

11+x > 7+x

1 2 3

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1. True

2. False

3. Depends what the value of x is.

Page 23: If x=3 and y=0.5 then what is the value for z when z=(2x+1)(x+3y)?

Solve the inequality |2x-4|<16.

1 2 3 4

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1. x<-6, x>10

2. -6<x<10

3. -10<x<6

4. x<-10, x>6

Page 24: If x=3 and y=0.5 then what is the value for z when z=(2x+1)(x+3y)?

Using the graph, find the range of values for

which x2+7x+12>0.

1 2 3 4

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1. x>-4, x>-3

2. x<-4, x<-3

3. -4<x<-3

4. x<-4, x>-3

Page 25: If x=3 and y=0.5 then what is the value for z when z=(2x+1)(x+3y)?

1 2 3 4

0% 0%0%0%

Express in partial

fractions.127

322

xx

x

4

5

3

3

xx

1.

3

3

4

5

xx

2.

)3(3

1

)4(5

1

xx

3.

4

3

3

5

xx

4.

Page 26: If x=3 and y=0.5 then what is the value for z when z=(2x+1)(x+3y)?

1 2 3 4

0% 0%0%0%

Express in partial

fractions.2)3(

24

x

x

2)3(

4

3

10

xx

1.

2)3(

4

3

10

xx

2.

2)3(

10

3

4

xx

3.

2)3(

10

3

4

xx

4.

Page 27: If x=3 and y=0.5 then what is the value for z when z=(2x+1)(x+3y)?

1 2 3 4

0% 0%0%0%

Express in partial

fractions.3

2

x

x

3

1

x

1.

13

1

x

2.

13

1

x

3.

13

1

x

4.