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Unit 1 Review (Mid Unit)

Total questions: 20

Worksheet time: 43mins

Name
Class
Date
1.

Evaluate f(x) = 1/3x + 4 at f(6)

a)

4

b)

5

c)

6

d)

7

2.

Find f(-2).

(a)  

3.

What is f(4)?

a)

-3

b)

2

c)

-1

d)

1

4.
Determine which of the following relations is NOT a function.
a)
A non-vertical linear graph.
b)
A set of ordered pairs where an x term repeats.
c)
A set of ordered pairs where a y term repeats.
d)
A U-shaped graph.
5.

Sarah is bringing treats to her middle school class on her birthday. The number of treats she brings in is based on the number of students in her class. The function t(s) = 2s, where s is the number of students in her class and t(s) is the number of treats she will need to bring. What does t(4) = 8 mean?

a)

If there are 8 students, she will need to bring 4 treats.

b)

If there are 4 students, she will need to bring 8 treats.

c)

If there are 2 students, she will need to bring 8 treats.

d)

If there are 4 students, she will need to bring 2 treats.

6.
(4x+1)(5x−2)
a)
20x2 + 3x − 2
b)
20x2 − 11x + 5
c)
20x2 − 18x + 2
d)
20x2 − 3x − 2
7.
(5x+2)(x2-3x+6)
a)
5x3 - 17x2 +24x +12
b)
5x3 + 17x2 - 24x +12
c)
5x3 - 13x2 + 24x +12
d)
5x3 +13x2 - 24x - 12
8.

How is triangle ABC being translated to triangle A'B'C'?

a)

left 8, up 3

b)

left 4, up 9

c)

right 8, down 3

d)

right 4, down 9

9.

In a translation, the pre-image and image are ___________. Check all that apply (2).

a)

congruent

b)

similar

c)

parallel to each other

d)

perpendicular to each other

10.

Triangle ABC has vertices at A(6, 1) B(1, 7) and C(-3, -2). The translation to create triangle A'B'C' is (x, y) goes to (x - 1, y + 2). Which will be the coordinates of triangle A'B'C'?

a)

A'(5, 2), B'(0, -4), C'(0, 9)

b)

A'(5, 3), B'(0, -4), C'(0, 8)

c)

A'(5, 3), B'(0, 9), C'(-4, 0)

d)

A'(5, 2), B'(1, -3), C'(0, 9)

11.
What transformation is happening?
(x, y) ----> (x + 2, y - 3) 
a)
slide up 2, left 3
b)
slide right 2, up 3
c)
slide right 2, down 3
d)
slide left 3, right 2
12.

Write the rule for this translation:

Slide 3 up and 2 right

a)

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

b)

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

c)

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

d)

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

13.

What geometric form do rotations move points along?

a)

Rays

b)

Parallel Lines

c)

Perpendicular Lines

d)

Circular Arcs

14.

A rotation does not preserve congruence.

a)

True

b)

False

15.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
90 degrees clockwise
16.
If you were to rotate ABCD 180°  about the origin, what would the coordinate of A' be?
a)
(-5, 5)
b)
(-3, -5)
c)
(-5, 3)
d)
(-3, 3)
17.
Apply the following rule to the point (-5,6):
(x,y)-->(y,-x)
a)
(-5,-6)
b)
(5,-6)
c)
(6,5)
d)
(-6,5)
18.

Write a function rule using function notation that will transform the figure ABCDE to A'B'C'D'E'.

a)

(x, y) → (-y, -x)

b)

(x, y) → (x, -y)

c)

(x, y) → (-x, -y)

d)

(x, y) → (-y, x)

19.

Identify the transformation of the triangle BCD below.

a)

A translation to the right and down.

b)

A reflection over the line y = x.

c)

A dilation about the point D.

d)

A rotation 90° clockwise

20.

What transformation will map the red triangle onto the blue triangle?

a)

a rotation 90o cw rotation about the origin

b)

a translation 3 units right and 1 unit down

c)

a reflection across the y axis.

d)

a rotation 90o ccw about the origin