Precalc 11_module 2 Pretest Key

7/27/2019 Precalc 11_module 2 Pretest Key

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Pre-Calculus Mathematics 11 Module 2 Practice Test On-line Course

Version 1 Page of 15 Practice Test1

Pre-Calculus Mathematics 11

Module 2 Practice Test

Name_________________________

Total ______ = _________%

Instructions for this test:

You need to have completed all your send in assignments and received feedback onthem before you can write the test.

Do this practice test as if it was a real test. In other words, without your notes andassignments in front of you. Give yourself 2 hours for the pretest.

Show all your work to receive full marks. The answer alone will not give you fullmarks.

The test is designed to take approx 2 hours. The test is divided into two units

o Unit 1: Absolute Value and Radicals Part A: Multiple Choice Questions Part B: Long Answer

o Unit 2: Factoring Polynomials Part A: Multiple Choice Questions Part B: Long Anwer

75


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Unit 1 Rational ExpressionsPart A: Multiple Choice Questions One mark each

1. Determine the non-permissible values for2

5

9

x

x

A. 3x =

B. 3x = , 3x =

C. 3x = , 3x = , 0x =

D 0x = , 3x =

2. Determine the non-permissible values for2

2

4

6

x

x x

+

A. 2 and 3

B. 2 and -3C. -2 and 3

D. -2 and 2

3. What is the correct simplification of2

15 3 9

2 6 10

x x

x x

+

+

A.9

4

B.9

, 0, 34

xx

C.9

, 0, 34

xx

D. 9 , 0, 34

x

4. Which expression is equivalent to2

2 3

a a+

A.5

, 0aa

B.8

, 0aa

C.2

32 3 , 0a a

a+

D.2

2

2 3, 0

aa

a

+


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5. Which equation does not have x=2 as a solution?

A.2 3

5

x

x

+=

B.6

34

xx

+ =

+

C.15

13

xx

=

+

D.2

8

2 4

x

x x=

Part B: Long Answer (Show all your work)

1. Simplify the following

A.4 3

5

12

48

x y

xy

1 mark

B.( ) ( )

( )

4 2 1

2 4

x x

x

+

1 mark

C.( )3

9 3

x

x

2 marks


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D.( )( )

( )

3 2

22 2

2 4

12

xy x y

x y

2 marks

E.2

2

6 8

4

x x

x

+ +

2 marks

F.2 2

2 5

xz x z 2 mark


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2. Simplify each expression

A.2

2 2

5 4 4 8

2 8 8 1

x x x

x x x

+ +

+ 3 mark

B.2 2

2

2 7 4 4 4 1

6 5 6 12 8

x x x x

x x x

+ +

+ 3 mark


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C.4 3

5 5

n n

n n

+ 2 mark

D.2 2

7 3

49 14 49x x x+

+ + 3 mark


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3. Solve each equation algebraically

A.3 2

6 5x x=

+2 mark

B.1 1 2

3 3

x

x x x

+ =

3 mark


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C.2

3 5 2

1 4 3 3

n n

n n n n

++ =

+ + + +3 mark


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4. Sue cycles 6 km to return a friends bicycle. She then walks home. Her total time for the trip

is 90 minutes. Ann cycles four times as fast as she walks. Determine Anns average walkingand cycling speeds by setting up a relevant equation and solving it.

3 mark

5. Bronwyn rides her bike 10 km/h faster than Aaron. Bronwyn can travel 60 km in the same

time it takes for Aaron to travel 40 km. Determine Bronwyns average speed by setting up arelevant equation and solving it. .3 marks


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Unit 2 Quadratic FunctionsPart A: Multiple Choice Questions- 1 mark each

1. . Determine the range for the function 2( 3) 4y x= +

A. 4y

B. 4y

C. 4y

D. 4y

2. Determine the vertex for the parabola 2( 7) 5y x= + +

A. ( )7,5

B. ( )7, 5

C. ( )7,5

D. ( )7, 5

3. Calculate the exact value of thex-intercepts for the parabola ( )2

4 18y x= +

A. 4 2 3

B. 4 2 3

C. 4 3 2

D. 4 3 2

4. Determine they-intercept for the parabola defined by ( )21

5 25

y x= + ?

A. ( )0, 5

B. ( )0,5

C. ( )0,3

D. ( )0, 2


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5. If the zeros of the quadratic function are 2 and 3 , determine the equation of the axis ofsymmetry of the parabola.

A. 12

x =

B. 3x =

C. 2x =

D.5

2x =

Part B: Long Answer Show all your work for full marks

1. Indicate if each of the following is a quadratic function or not 2 marks

A. 2 5y x x= + __________

B. 2 4 3 1x x y x = + __________

C.2

1 15

yx

= __________

D. 23 4 1y x x= + ___________


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2. Sketch the graph of ( )2

3 1 4y x= + without a calculator. Label the vertex and two other

points and fill out the blanks below. 2 marks for the graph

x

5

5

-5

-5

f(x)

A. Equation of axis of symmetry ________________ 1 marks

B. Maximum or minimum value ________________ 1 mark

C. Exact Value of x intercept (show your work) _________________ 2 marks

D. y-intercept ____________ 1 mark

E. Domain _________________ 1 mark

F. Range _____________________ 1 mark


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3. Change the following into the form ( )2

y a x h k= + without a calculator and show steps.

A. 25 20 3y x x= 3 marks

B. 21

5 12

y x x= + + 3 marks


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4. Write a equation of a parabola in the form ( )2

y a x h k= + with the following given

information

A. Vertex of (5,3) and congruent to 212

y x= 2 marks

B. Minimum value of -3, axis of symmetry of 2x = , opens down and is congruent to24y x= 2 marks

C. Vertex of (2,-1) and passes through the point A(4,-3) 3 marks


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5. Determine the equation of a quadratic function with x intercepts of 1 and 7 and passes throughthe point B(3,16). 3 marks

6. The cross section of a satellite dish is parabolic. The parabola has a maximum depth of 7.5 cm

and a width of 50 cm. How deep is the dish 10 cm form its edge? 3 marks

Precalc 11_module 2 Pretest Key

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