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Parallel & Perpendicular, Writing Linear Systems

Total questions: 25

Worksheet time: 2hrs 44mins

Name
Class
Date
1.

Parallel lines have __________ slopes.

a)
Equal
b)
Opposite
c)
Reciprocal 
d)
Total
2.

Perpendicular lines have ___________ slopes.

a)

opposite reciprocal

b)

opposite

c)

equal

d)

no

3.

slope a: 13slope\ a:\ -\frac{1}{3}  and  slope b: 13slope\ b:\ -\frac{1}{3}  .

a)

Parallel

b)

Perpendicular

c)

Neither

4.

slope a: 9slope\ a:\ -9  and  slope b: 19slope\ b:\ \frac{1}{9}  .

a)

Parallel

b)

Perpendicular

c)

Neither

5.

slope a: 7slope\ a:\ 7  and  slope b: 17slope\ b:\ \frac{1}{7}  .

a)

Parallel

b)

Perpendicular

c)

Neither

6.

What slope is parallel to 34\frac{3}{4}  ?

a)

43\frac{4}{3}  

b)

34\frac{3}{4}  

c)

34-\frac{3}{4}  

d)

43-\frac{4}{3}  

7.

What slope is parallel to 44   ?

a)
4
b)

14-\frac{1}{4}  

c)
-4
d)

14\frac{1}{4}  

8.

What slope is parallel to 78-\frac{7}{8}  

a)

78\frac{7}{8}  

b)

87\frac{8}{7}  

c)

78-\frac{7}{8}  

d)

87-\frac{8}{7}  

9.

What slope is perpendicular to 65-\frac{6}{5}   ?

a)

65-\frac{6}{5}  

b)

56-\frac{5}{6}  

c)

56\frac{5}{6}  

d)

65\frac{6}{5}  

10.

What slope is perpendicular to 55  ?

a)

55  

b)

15\frac{1}{5}  

c)

15-\frac{1}{5}  

d)

5-5  

11.

What slope is perpendicular to 23\frac{2}{3}  ?

a)

32-\frac{3}{2}  

b)

32\frac{3}{2}  

c)

23\frac{2}{3}  

d)

23-\frac{2}{3}  

12.

What is the slope of this graph?

a)

12\frac{1}{2}  

b)

2

c)

22\frac{2}{2}  

d)

31\frac{-3}{1}  

13.

What is the slope of the graph?

a)

53-\frac{5}{3}  

b)

35-\frac{3}{5}  

c)

23\frac{2}{3}  

d)

35\frac{3}{5}  

14.

What is the slope of the graph?

a)

34\frac{3}{4}  

b)

43\frac{4}{3}  

c)

21\frac{2}{1}  

d)

43-\frac{4}{3}  

15.

What is the slope of the graph?

a)
-2
b)
2
c)
-1
d)
1
16.

What is the slope of the graph?

a)

14\frac{1}{4}  

b)

14-\frac{1}{4}  

c)

4-4  

d)

44  

17.
What does "m" represent in y=mx+b?
a)
y-intercept
b)
slope
c)
measurements
d)
nothing
18.
What does 'b" represent in y=mx+b
a)
y-intercept
b)
base
c)
nothing
d)
slope
19.

Which two lines are parallel?

a)

y=37x25y=\frac{3}{7}x-25

b)

y=37x+2y=\frac{3}{7}x+2

c)

y=73x25y=\frac{7}{3}x-25

d)

y=3x+13y=3x+13

e)

y=7x+9y=7x+9

20.

Which two lines are parallel?

a)

y=14x25y=-\frac{1}{4}x-25

b)

y=14x+2y=\frac{1}{4}x+2

c)

y=4x25y=-4x-25

d)

y=4x+13y=4x+13

e)

y=14x+9y=\frac{1}{4}x+9

21.

Which two lines are perpendicular?

a)

y=37x25y=\frac{3}{7}x-25

b)

y=37x+2y=-\frac{3}{7}x+2

c)

y=73x25y=-\frac{7}{3}x-25

d)

y=3x+13y=3x+13

e)

y=7x+9y=7x+9

22.

Which line is perpendicular to the line:  y=56x+12y=-\frac{5}{6}x+12  

a)

y=56x2y=-\frac{5}{6}x-2  

b)

y=56x+13y=\frac{5}{6}x+13  

c)

y=65x+11y=\frac{6}{5}x+11  

d)

y=65x100y=-\frac{6}{5}x-100  

23.

A theater sold 3 senior tickets and 1 child ticket for a total of $38. The next day, the theater sold 3 senior citizen tickets and 2 child tickets for a total of $52. What system of equations represents the scenario?

a)
1s + 3c = 38
2s + 3c = 52
b)
3s + 1c = 38
3s + 2c = 52
c)
s + c = 38
s + c = 52
d)
3s + 3c = 38
1s + 2c = 52
24.

The sum of two numbers is 36. The difference is 6. What system of equations represents this scenario?

a)

b)

c)

25.

A farm has a total of 50 donkeys and chickens.  There are a total of 174 legs.  Which system represents this scenario?

a)
d + c = 174
4d + 2c = 50
b)
d + c = 50
4d + 2c = 174
c)
d + c = 50
2d + 4c = 174
d)
d + c = 174
2d + 4c = 50