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Math 11 Pre-Calc LG 8 Practice Unit Test #4



Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

What are the x-intercepts of mc001-1.jpg?
A
–5 and –4
C
5 and 4
B
–5 and 4
D
5 and –4
 

 2. 

What is the quadratic function in vertex form for the parabola shown below?
mc002-1.jpg
A
mc002-2.jpg
C
mc002-4.jpg
B
mc002-3.jpg
D
mc002-5.jpg
 

 3. 

Which graph represents the quadratic function mc003-1.jpg?
A
mc003-2.jpg
C
mc003-4.jpg
B
mc003-3.jpg
D
mc003-5.jpg
 

 4. 

What information can be determined from the quadratic function mc004-1.jpg?
A
the vertex is at (6, 1) and the graph opens upward
B
the vertex is at (1, 6) and the graph opens downward
C
the vertex is at (1, 6) and the graph opens upward
D
the vertex is at (6, 1) and the graph opens downward
 

 5. 

Identify the characteristics of this graph.
mc005-1.jpg
A
vertex: (–6, 4)
axis of symmetry: mc005-2.jpg
y-intercept: 18
x-intercepts: 6 and 2
opens downward
C
vertex: (4, –6)
axis of symmetry: mc005-4.jpg
y-intercept: 18
x-intercepts: 6 and 2
opens upward
B
vertex: (–6, 4)
axis of symmetry: mc005-3.jpg
y-intercept: 18
x-intercepts: 6 and 2
opens upward
D
vertex: (4, –6)
axis of symmetry: mc005-5.jpg
y-intercept: 18
x-intercepts: –6 and –2
opens downward
 

 6. 

What is mc006-1.jpg written in standard form?
A
mc006-2.jpg
C
mc006-4.jpg
B
mc006-3.jpg
D
mc006-5.jpg
 

 7. 

What is the function mc007-1.jpg written in standard form?
A
mc007-2.jpg
C
mc007-4.jpg
B
mc007-3.jpg
D
mc007-5.jpg
 

 8. 

What is the equation of the quadratic function mc008-1.jpg in vertex form?
A
mc008-2.jpg
C
mc008-4.jpg
B
mc008-3.jpg
D
mc008-5.jpg
 

 9. 

State whether the function mc009-1.jpg has a maximum or minimum value and identify the coordinates of the vertex.
A
maximum at mc009-2.jpg
C
minimum at mc009-4.jpg
B
maximum at mc009-3.jpg
D
minimum at mc009-5.jpg
 

 10. 

What is the axis of symmetry for the quadratic function mc010-1.jpg?
A
x = mc010-2.jpg
C
x = mc010-4.jpg
B
x = mc010-3.jpg
D
x = mc010-5.jpg
 

 11. 

What are the x-intercepts of the quadratic function graphed here?
mc011-1.jpg
A
10.0
C
there are none
B
–0.7
D
9.3
 

 12. 

What are the roots of the quadratic function mc012-1.jpg?
A
1.2
C
–13.5
B
–9 and –5
D
9 and 5
 

 13. 

Factor mc013-1.jpg completely.
A
mc013-2.jpg
C
mc013-4.jpg
B
mc013-3.jpg
D
mc013-5.jpg
 

 14. 

Solve mc014-1.jpg.
A
x = –17 and x = –5
C
x = 85 and x = 25
B
x = mc014-2.jpg and x = mc014-3.jpg
D
x = 17 and x = 5
 

 15. 

Determine the roots of the quadratic equation mc015-1.jpg.
A
x = mc015-2.jpg and x = mc015-3.jpg
C
x = –2 and x = –10
B
x = 2 and x = 10
D
x = –4 and x = –20
 

 16. 

Determine the roots of the quadratic equation mc016-1.jpg.
A
x = mc016-2.jpg and x = –mc016-3.jpg
C
x = mc016-6.jpg and x = –mc016-7.jpg
B
x = mc016-4.jpg and x = mc016-5.jpg
D
x = mc016-8.jpg and x = mc016-9.jpg
 

 17. 

Solve mc017-1.jpg.
A
mc017-2.jpg and mc017-3.jpg
C
mc017-6.jpg and mc017-7.jpg
B
mc017-4.jpg and mc017-5.jpg
D
mc017-8.jpg and mc017-9.jpg
 

 18. 

A rectangle has dimensions mc018-1.jpg and mc018-2.jpg, where x is in centimetres. If the area of the rectangle is 15 cm2, what is the value of x, to the nearest tenth of a centimetre?

mc018-3.jpg
A
mc018-4.jpg
C
mc018-6.jpg
B
mc018-5.jpg
D
mc018-7.jpg
 

 19. 

The vertex form of mc019-1.jpg is
A
mc019-2.jpg
C
mc019-4.jpg
B
mc019-3.jpg
D
mc019-5.jpg
 

 20. 

The roots, to the nearest hundredth, of mc020-1.jpg are
A
–0.02 and –50.98
C
0.01 and 25.49
B
0.02 and 50.98
D
0.04 and 101.96
 

Short Answer
 

 1. 

Sketch the graph of the function sa001-1.jpg. Label the vertex.

sa001-2.jpg
 

 2. 

Write the equation of this parabola.

sa002-1.jpg
 

Problem
 

 1. 

Sketch the graph of the function y = x2 + xpr001-1.jpg. Identify the x-intercepts and the y-intercept.
 

 2. 

A uniform border on a framed photo has an area four times that of the photo. What are the outside dimensions of the border if the dimensions of the photo are 30 cm by 20 cm?
 



 
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