Free Printable Chapter 3 Review

1.

Which two angles are Same-Side Interior Angles

a)

Angles 2 and 3

b)

Angles 1 and 3

c)

Angles 3 and 7

d)

Angles 3 and 5

2.

Which are two Alternate Exterior Angles?

a)

Angles 1 and 6

b)

Angles 1 and 4

c)

Angles 1 and 8

d)

Angles 3 and 7

3.

Which are two Corresponding Angles?

a)

Angle 2 and 3

b)

Angle 1 and 2

c)

Angle 2 and 7

d)

Angle 2 and 5

4.

Which are two Alternate Interior Angles?

a)

Angles 2 and 6

b)

Angles 4 and 5

c)

Angles 4 and 7

d)

Angles 3 and 6

5.

What lines are parallel AJ? CLICK ALL THAT APPLY!

a)

BF

b)

EI

c)

AB

d)

FG

e)

DH

6.

Which lines are skew to JI? CLICK ALL THAT APPLY

a)

BF

b)

CD

c)

ED

d)

DH

e)

HG

7.

Parallel lines have what kind of slope?

a)

The same

b)

Opposite Reciprocals

c)

Opposite

d)

None

8.

Find x

a)

80

b)

100

c)

90

d)

180

9.

What value of x proves that line p is parallel to line r?

a)

14

b)

12.5

c)

15

d)

25

10.

What is the slope of the line that is perpendicular to
y = 1/2(x) + 2.3

a)

-1/2

b)

-2

c)

2

d)

1/2

11.

Which of the following equations represents a line that is perpendicular to the line in the graph? Select all that apply

a)

y = -⅓ x + 5

b)

y = -3x + 7

c)

y = -3x + 1

d)

y = 3x + 5

12.

Are l1 and l2 perpendicular lines?

a)

Yes

b)

No

c)

I know, you have a 50/50 chance, you could just guess

d)

But it is YOUR test tomorrow that you will have to show work for

13.

What's the slope between the two points (1,4) and (3,9)

a)

-5/2

b)

-2/5

c)

5/2

d)

2/5

14.

What is the slope of this line?

a)

1

b)

-1

c)

(1,1)

d)

0

15.

What is the equation of a line parallel to the following line that passes through the given point?
y = -4x + 6 (2, -1)

a)

y = 1/4x + 6

b)

y = -4x + 7

c)

y = -4x + 2

d)

y = 1/4x -1

16.

What is the equation of a line that is perpendicular to this line and goes through the given point?
y = 3x + 2 (3, -4)

a)

y = 3x - 2

b)

y = -1/3x - 5

c)

y = 3x - 4

d)

y = -1/3x - 3

17.

Are these two lines parallel, perpendicular or neither?
y = -1/3x - 5
y = 1/3x + 2

a)

Parallel

b)

Perpendicular

c)

Neither

18.

If two lines are cut by a transversal, then corresponding angles are _________congruent.

a)

Always

b)

Sometimes

c)

Never

19.

If / 1= 2x + 22 and / 8 = 3x – 16, what value of x makes a || b?

a)

11

b)

17

c)

25

d)

38

20.

If / 3= 32 and / 5 = 7x + 8, what value of x makes a || b?

a)

3

b)

4

c)

7

d)

20

21.

If / 2= 4x + 24 and / 7 = 12x – 8, what is the measure of / 4?

a)

4

b)

40

c)

60

d)

140

22.

If / 2= 42 and / 5 = 14x – 2, what value of x makes a || b?

a)

3

b)

4

c)

10

d)

40

23.

Angles 1 and 5 are what type of angles?

a)

Corresponding angles

b)

Same side interior angles

c)

Same side exterior angles

d)

Alternate interior angles

24.

Angles 1 and 8 are what type of angles?

a)

Corresponding angles

b)

Same side interior angles

c)

Same side exterior angles

d)

Alternate exterior angles

25.

Which lines are parallel?

a)

a || c

b)

d || e

c)

a || c and d || e

d)

a || b || c and d || e

26.

The fence below is bounded by parallel boards. Find the measure of angle 2.

a)

40

b)

60

c)

80

d)

120

27.

Given the equation of a line as 6x + 3y = – 9, what is the equation of a line parallel to this line going through

point (2, 3)?

a)

y = -2x + 7

b)

y = 2x + 7

c)

y = -1/2x + 7

d)

y = -1/2x + 7

28.

Given the equation of a line as 8x – 2y = –10, what is the equation of a line perpendicular to this line going through point (-4, 6)?

a)

y = 4x + 5

b)

y = -4x + 5

c)

y = -1/4x + 5

d)

y = 1/4x + 5

29.

Plot a point on the graph that goes through point P and is perpendicular to the given line.

a)

(4, 5)

b)

(2, 2)

c)

(-1, 4)

d)

(0, 0)

30.

Which statement is true about angles 4 and 5

a)

The angles are congruent

b)

The angles are complementary

c)

The angles are supplementary

d)

The angles have no relationship

31.

Which statement is true about angles 3 and 5?

a)

They are congruent

b)

They are complementary

c)

They are supplementary

d)

They have no relationship

32.

Which statement is true about parallel lines?

a)

Their slopes are negative reciprocals of each other

b)

The product of their slopes is always -1

c)

Their slopes are equal

d)

Their slopes always equal 180

33.

Which statement is true about perpendicular lines?

a)

Their slopes are equal

b)

Their slopes are parallel

c)

The product of their slopes is always -1

d)

Their slopes always equal 180

34.

If there is a line and a point not on the line, there is/are ___________________ line(s) through the point perpendicular to the given line.

a)

no

b)

exactly 1

c)

only 2

d)

many

35.

If there is a line and a point not on the line, there is/are _____________ line(s) through the point parallel to the given point.

a)

no

b)

exactly 1

c)

only 2

d)

many

36.

$\angle1$ and $\angle2$ are __________________.

a)

alternate interior angles

b)

consecutive interior angles

c)

corresponding angles

d)

alternate exterior angles

e)

a linear pair

37.

$\angle4$ and $\angle5$ are __________________.

a)

alternate interior angles

b)

consecutive interior angles

c)

corresponding angles

d)

alternate exterior angles

e)

vertical angles

38.

A line that passes through 2 or more lines is called a ______________.

a)

transitive

b)

passer through line

c)

transversal

d)

bisector

39.

Solve for x

a)

22

b)

26

c)

24

d)

23

40.

Factor Completely:
3x² + 18x +15
Hint: Factor GCF first.

a)

3(x² + 6x + 5)

b)

(x + 5)(x + 1)

c)

3(x + 5)(x + 1)

d)

Prime

41.

Factor
3a² + 4a + 1

a)

(7a-10)(a-8)

b)

Not factorable

c)

(3a+1)(a+1)

d)

(3a-1)(a-1)

42.

Factor
k² - 2k - 24

a)

(k+4)(k-6)

b)

(k+4)(k+6)

c)

(k+6)(k-1)

d)

(k-4)(k+6)

43.

Solve
6x² + 17x + 12 = 0

a)

x = -4/3, x = -3/2

b)

x = 9, x = 8

c)

x = 4, x = 3

d)

x = -4, x = -3

44.

Solve
x² + 2x - 24 = 0

a)

x = -6, x = 4

b)

x = 6, x = -4

c)

x = 12, x = -2

d)

x = 8, x = -3

45.

Solve
x² + 13x + 12 = 0

a)

x = -1, x = -12

b)

x = -1, x = -24

c)

x = -2, x = -6

d)

x = -2, x = -12

46.

Solve
2x² - 3x - 2 = 0

a)

x = 1, x = -1

b)

x = -1/2, x = 2

c)

x = 1/2, x = 2

d)

x = 1/2, x = 1

47.

Solve
3x² + 5x - 12 = 0

a)

x = -4/3, x = 3

b)

x = 4/3, x = -3

c)

x = -1, x = 4

d)

x = 1, x = -4

48.

Solve the system of equations.
x + 2y = -3
x - y = -12

a)

(-9, 3)

b)

(-7 ,5)

c)

(3, 15)

d)

(9, 6)

49.

Solve the system of equations.
y = 4x+1
3x + 2y = 13

a)

(1, 5)

b)

(5, 1)

c)

(0.25, 2)

d)

∅

50.

If a system of equations has no solution, what does the graph look like?

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

intersecting lines

51.

Solve for x and y:
y = 2x + 1
y = 4x - 1

a)

(1,3)

b)

(-1,-3)

c)

(-1,3)

d)

(3,1)

52.

Solve:
-2x + 5y = -1
4x - 2y = -6

a)

(-2, -1)

b)

(2, 7)

c)

(3, 1)

d)

(-1, -2)

53.

How is the distance formula correctly written:

a)

$d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ -\left(x_{2\ }-\ x_1\right)^2}\$

b)

$d\ =\ \sqrt{\left(x_{2\ }-\ x_1\right)^2\ +\ \left(y_{2_{\ }}-\ y_1\ \right)2}$

c)

$d\ =\ \sqrt{\left(y_{1\ }-\ y\ _2\right)^2\ +\ \left(x_{2\ }-\ x_1\right)}^2$

d)

d = $\sqrt{\left(x\right)^2-\ \left(y\right)^2}$

54.

Find the distance between (-12, 1) and (12, -1).

a)

24.05

b)

24.06

c)

24.07

d)

24.08

55.

Find the distance between (-5, -8) and (-1, -16).

a)

8.9

b)

9.8

c)

10.3

d)

11

56.

Find the distance.

a)

9.7

b)

10.7

c)

11.7

d)

12.7

57.

What is the slope a horizontal line?

a)

-1

b)

undefined

c)

1

d)

0

58.

A line that passes through 2 or more lines is called a ______________.

a)

transitive

b)

passer through line

c)

transversal

d)

bisector

59.

(4.3) Two straight roads have equations y-1=-1(x+4) and y=0.5x+3. A traffic light has to be installed at their intersection point. Find the coordinates of the intersection point of the two roads.

a)

(1, 4)

b)

(1.33, 3.67)

c)

(-4,1)

d)

(-5.33, 0.333)

Chapter 3 Review

Total questions: 59

Worksheet time: 6hrs 38mins

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