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Week 1 Practice

Total questions: 25

Worksheet time: 49mins

Name
Class
Date
1.

A relation where every input matches with exactly one output is called what?

a)

Relation

b)

Linear

c)

Exponential

d)

Function

2.

Is the relation a function?

{(1, 5), (4, -7), (3, 2), (-2, 0), (9, 4)}

a)

Yes

b)

No

3.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
4.
For the function f(x) = -3x + 3 find f(0).
a)
0
b)
-3
c)
3
d)
-1
5.
Evaluate f(-2) if f(x) = x2+ 3.
a)
-1
b)
1
c)
7
d)
-7
6.

Derek works at Subway making $9.25 an hour. The function d(x) = 9.25x tells us how much money Derek makes after x hours of working. What is the meaning of d(4) = 37?

a)

After 4 hours of work, Derek makes $37.

b)

Derek needs $4 more to have $37 total.

c)

After working for 4 days, Derek makes $37 total.

d)

After 4 hours of work, Derek now makes $37 an hour instead of $9.25.

7.
The function c(m) = 1.45m + 3.50 represents the cost of a taxi for m miles.
What does c(m) represent?
a)
Total Cost of a taxi
b)
Total Miles in taxi
8.

What is the value of f(-5)?

a)

-2

b)

3

c)

4

d)

0

9.

Find f(2)

a)

5

b)

4

c)

3

d)

0

10.

Find g(6)

a)

1

b)

4

c)

2

d)

0

11.

What does it mean for a transformation to be isometric?


Isometric means ____________ (equal or unequal) measure.


When a transformation is isometric it means that the distances between any two points in the transformation are __________ (equal or unequal).


Fill in the blanks.

a)

equal, unequal

b)

unequal, equal

c)

unequal, unequal

d)

equal, equal

12.

What linear relationship defines the movement of a translation?


Points are translated the same distance along (a)   (parallel or perpendicular) lines.


Fill in the blank.

13.

Write a rule for the translation.

a)

(x - 1, y + 2)

b)

(x - 2, y + 1)

c)

(x + 2, y - 1)

d)

(x + 1, y - 2)

14.

Identify the transformation from ABC to A'B'C'.

a)

(x + 8, y + 4)

b)

(x - 8, y - 4)

c)

(x + 4, y + 8)

d)

(x - 4, y - 8)

15.

A point is translated up 2 units and right 5 units. Write the function rule.

a)

(x + 5, y - 2)

b)

(x - 5, y + 2)

c)

(x - 5, y - 2)

d)

(x + 5, y + 2)

16.

What transformation is happening?

(x, y) ----> (x + 2, y - 3)

a)

translations up 2, left 3

b)

translations right 2, up 3

c)

translations right 2, down 3

d)

translations left 3, right 2

17.

Evaluate the function f(x, y) = (y, -x) for the coordinates A(-2, -3), B(0, 4), and C(2, 4).

a)

A'(-3, 2), B'(4, 0), and C'(-4, 2)

b)

A'(-3, 2), B'(4, 0), and C'(4, 2)

c)

A'(-3, 2), B'(4, 0), and C'(-2, 4)

d)

A'(-3, 2), B'(4, 0), and C'(4, -2)

18.

Write a function rule using function notation that will translate a geometric figure 5 units to the left and 9 units down.

a)

(x - 5, y - 9)

b)

(x + 5, y + 9)

c)

(x - 5, y + 9)

d)

(x + 5, y - 9)

19.

What type of function maps an input onto itself?

a)

identity function

b)

dilation function

c)

reflective function

d)

translated function

20.

The original figure prior to a transformation.

a)

Pre-image

b)

Image

c)

Isometry

d)

Congruent

21.
Simplify: (x + 3) (x + 2)
a)
x2 + 6x + 5
b)
x2 + 5
c)
x2 + 11
d)
x2 + 5x + 6
22.
Simplify: (5x - 2) (3x + 1)
a)
15x2 - 11x - 2
b)
15x2 - x - 2
c)
15x2 + x - 2
d)
15x2 - 8x - 2
23.
Simplify: (2a - 3) (3a + 1)
a)
6a+ 7a - 3
b)
6a+ 5a - 3
c)
6a2 - 7a - 3
d)
6a2 - 9a + 3
24.
Expand: (3y + 2)2
a)
9y+ 12y + 4
b)
3y2 + 6y + 4
c)
9y+ 6y + 4
d)
9y2 + 4
25.
Simplify: (x + 1) (x- 2x + 1)
a)
x- x-x + 1
b)
x- 2x + 2
c)
x+ x+ x + 1
d)
x- 3x- 3x + 1