Free Printable Chapter 3 Review

1.

Describe the transformation:

(x, y) -> (x-2, y+7)

a)

Translation 2 units to the left & 7 units up

b)

Translation 2 units to the left & 7 units down

c)

Translation 2 units to the right & 7 units up

d)

Translation 2 units to the right & 7 units down

2.

Determine how to translate triangle A'B'C' to triangle ABC.

a)

(x+2, y-5)

b)

(x+2, y-9)

c)

(x-2, y-9)

d)

(x-2, y+9)

3.

Determine where X' would be if you translated X 3 units to the left and 9 units down.

a)

(-4, 4)

b)

(-10, 2)

c)

(-4, -5)

d)

(-1, 5)

4.

How is trapezoid ABCD translated to trapezoid A'B'C'D'?

a)

Translated 5 units down and 5 units to the right

b)

Translated 5 units down and 1 to the right

c)

Translated 8 units down and 5 units to the right

d)

Translated 5 units down and 4 units to the right

5.

Identify the transformation.

a)

Reflection across y axis

b)

Reflection across x-axis

c)

180 Rotation

d)

Translation 2 units down

6.

Level 3 Find K' if the figure is reflected across the x-axis

a)

(4, 1)

b)

(-1, -4)

c)

(1, -4)

d)

(1, 4)

7.

Reflect Point C over the y-axis:

a)

(-3, 2)

b)

(3,2)

c)

(-2,3)

d)

(3,0)

8.

If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?

a)

(-5, 5)

b)

(-3, 5)

c)

(-5, 3)

d)

(-3, 3)

9.

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)

10.

How many degrees was the figure rotated?

a)

90 degrees counterclockwise

b)

180 degrees

c)

90 degrees clockwise

11.

Rotation Rules (clockwise):

90^o rotation: (x, y)→(y, -x)

What are the coordinates for A' after a 90^⁰rotation clockwise?

a)

(1, 3)

b)

(3, 1)

c)

(3, -1)

d)

(1, -3)

12.

Rotation Rules (clockwise):

180^o rotation: (x, y)→(-x, -y)

What are the coordinates of C' after a rotation of 180° clockwise?

a)

(-3, -1)

b)

(3,1)

c)

(1,3)

d)

(-1, -3)

13.

A line that is parallel to this line would have what slope?
y= 2x - 7

a)

2

b)

1/2

c)

-1/2

d)

7

14.

What slope is parallel to:
m = ³/₄

a)

⁴/₃

b)

³/₄

c)

^-3/₄

d)

^-4/₃

15.

Slopes of parallel lines are...

a)

opposite reciprocals.

b)

opposites.

c)

the same.

d)

always 7.

16.

What is the slope of a line perpendicular to a line with slope ^-6/₅?

a)

^-6/₅

b)

^-5/6

c)

⁵/₆

d)

^-4/₃

17.

What is the slope of a line perpendicular to 5?

a)

5

b)

1/5

c)

-1/5

d)

-5

18.

Slopes of perpendicular lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

19.

y = 3x +2
y = 3x - 3
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

d)

The same line

20.

y = -2/3x + 2
y = 3/2x + 9
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

21.

Write an equation of a line perpendicular to
y = 2x + 3 through (-2, 4)

a)

y = -3/2x + 3

b)

y = 3/2x + 3

c)

y = -1/2x + 3

d)

y = 3x - 3/2

22.

Which of the following lines goes through the point (-3, 4) and is perpendicular to y = 3/2x + 6?

a)

y = 3/2x - 6

b)

y = 2/3x + 3

c)

y = -2/3x - 2

d)

y = -2/3x + 2

23.

Line 1: (15, 20), (17, 18)

Line 2: (-22, -18), (-20, -16)

The two lines are _____________________.

a)

Parallel

b)

Perpendicular

c)

Neither

24.

Line 1: $\left(-1,\ 2\right),\ \left(2,\ 3\right)$
Line 2: $\left(0,\ 0\right),\ \left(3,\ 1\right)$
These two lines are ______________________

a)

Parallel

b)

Perendicular

c)

Neither

25.

Which of the following is the correct box method set-up to solve $\left(x+2\right)\left(x+3\right)=$ ?

a)

b)

c)

d)

26.

Write the expanded (general) form of the product (x+3)(x+6).

a)

x²+18x+9

b)

x²+9x+18

c)

x²+18x+18

27.

Multiply binomials using box method (2x +1) (x - 3).

a)

2x³ -4x +3

b)

2x + 5x -3

c)

2x² -5x -3

d)

2x -6x + 2

28.

Find the product:
(3x + 2)(2x + 4)

a)

6x² + 16x + 8

b)

5x² +11x + 6

c)

5x² + 16x + 6

d)

6x² + 11x + 8

29.

Simplify:
(x - 9)(x - 7)

a)

x² - 2x - 63

b)

x² - 16x - 63

c)

x² - 2x + 63

d)

x² - 16x + 63

30.

What does it mean for two terms to be considered "like terms"

a)

They have the same number

b)

They have the same variable

c)

They have the same variable/exponent combination

d)

They have the same sign

31.

Which letter matches the coordinate (4, -6)?

a)

C

b)

Z

c)

K

d)

None of the above

32.

Where is point E located?

a)

( 2, 0 )

b)

( 2 , 2 )

c)

( 0 , 2 )

d)

( 0 , 0 )

33.

Where is the pineapple?

a)

(2, 5)

b)

(9, 7)

c)

(5, 2)

d)

(4, 9)

34.

Which ordered pair is NOT graphed on the coordinate plane?

a)

(5,-3)

b)

(4, -3)

c)

(-2, 5)

d)

(-3, 4)

35.

Given that the slope is -4 and the y intercept is -4 what is the equation of the line?

a)

y = 4x - 4

b)

y = -4x - 4

c)

y = -4

d)

y = -4x + 4

36.

Write the equation of the line with slope -2 through the point (7, −1).

a)

y = −2x + 15

b)

y = −2x − 15

c)

y = −2x + 13

d)

y = −2x − 13

37.

Write the equation of the line through the points (8, −7) and (−2, 8).

a)

y = 3/2x + 11

b)

y = −3/2x + 11

c)

y = −3/2x + 5

d)

y = 3/2x − 19

38.

What is the equation of the line that goes through the points (2, 9) and (3, 1) ?

a)

y= 8x - 5

b)

y= -8x + 25

c)

y= (1/8)x - 2

d)

y= (-1/8)x + 1

39.

Given $y=ax-10$ , what would be the value of a for the line to pass through (-2,8)?

(a)

40.

Which is heavier, a ton of feathers OR a ton of bricks? (Hint: One ton = 2000 lbs)

a)

Feathers

b)

Bricks

c)

They weigh the same

d)

Do NOT select this answer!

41.

Solve for x:

a)

x=1

b)

x=3

c)

x=15

d)

x=6

42.

Solve for x:

a)

x=1/2

b)

x=4

c)

x=1/4

d)

x=2

43.

Solve for the value of x.

a)

2

b)

-2

c)

3

d)

-3

44.

Solve for x

a)

x=4

b)

x=-4

c)

x=24

d)

x=-24

45.

Solve for x:

a)

x=8

b)

x=5

c)

x=2

d)

x=0

46.

a)

-11

b)

11

c)

0

d)

10

47.

a)

7

b)

-16

c)

4

d)

-15

48.

11 = 3z + 5

a)

2

b)

6

c)

1

d)

4

49.

-12 = 5r + 8

a)

-4

b)

4

c)

3

d)

6

50.

-9w + 7 - 4w - 16

a)

-13w -9

b)

5w -23

c)

-13w - 23

d)

-5w - 9

51.

-9 + 4(4x + 9)

a)

32x + 16

b)

27 + 16x

c)

16x

d)

16x + 18

52.

Distribute and simplify

a)

13x - 8

b)

13x + 8

c)

19x + 26

d)

13x + 26

53.

50 = 28.1 + 0.15a

a)

a= 150

b)

a= 146

c)

a= 6

d)

a= 155

54.

10.35 + 2.3h = −9.2

a)

h = -8.5

b)

h = -9

c)

h = 9

d)

h = 8.5

55.

solve for x.

$11^4=11^{-x}$

a)

-4

b)

4

c)

1/4

d)

-1/4

56.

solve for x.

$2^x=2^{3x-4}$

a)

2

b)

-2

c)

1/2

d)

4/3

57.

Solve the following exponential equation:
$2^x=4^{x+1}$

a)

$x=-2$

b)

$x=2$

c)

$x=-3$

d)

$x=3$

58.

Solve the following exponential equation:
$9^{8-x}=27^{x-3}$

a)

$x=5$

b)

$x=-5$

c)

$x=\frac{1}{5}$

d)

$x=-\frac{1}{5}$

59.

Why did the chicken NOT cross the road?

a)

Because KFC was on the other side.

b)

Because it was a chicken!

c)

Because there were 20 million cars driving by.

d)

So that it could not get to the other side.

60.

How ready are you for the Chapter 3 test?

a)

I was born ready!

b)

I am mostly ready, but I got a couple more concepts that need more practice.

c)

Not that ready, but I will be when the time comes.

d)

Not at all! I am going to need a miracle!

Chapter 3 Review

Total questions: 60

Worksheet time: 2hrs 45mins

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