Free Printable Linear Relations and Patterns

1.

The sum of 6 and x

a)

x + 6

b)

6/x

c)

x + 4

d)

6x

2.

The sum of 6 and x

a)

x + 6

b)

6/x

c)

x + 4

d)

6x

3.

Y divided by 5

a)

y/5

b)

6 X y/5

c)

6/5x

d)

5x/6

4.

What is the quotient of y and 5?

a)

y - 5

b)

y + 5

c)

y X 5

d)

y/5

5.

Evaluate 2r + 1 if r = 3

a)

6

b)

5

c)

7

d)

8

6.

Evaluate the expression. Let c = 3 d = 2
3c + 7d

a)

27

b)

21

c)

29

d)

23

7.

What is the operation of the following expression? x/5

a)

multiplication

b)

addition

c)

subtraction

d)

division

8.

Evaluate expression: 5a + b for a= 6 and b= 3

a)

33

b)

36

c)

30

d)

59

9.

Evaluate 5m when m=8

a)

58

b)

13

c)

85

d)

40

10.

Which equation matches the table?

a)

y = 3x + 9

b)

y = x + 9

c)

y = x + 3

d)

y = 12x - 3

11.

Which equation matches the table?

a)

y = x + 5

b)

y = 5x

c)

y = x - 5

d)

x = y - 5

12.

Match the equation to a correct statement.

a)

He charged $5 every hour.

b)

He left 5 hours ago.

c)

he started with $5

d)

he bought 5 lemons

13.

Total pay is $10 to show up
and $7 for every hour worked. Which of the following statements is true?

a)

The initial value is 7

b)

the initial value is 10

c)

the rate of change is 10

d)

the initial value is 17

14.

What is the rule for this pattern?
32,36,40,44

a)

add 4

b)

multiply 2

c)

subtract 4

d)

divide by 2

15.

What number belongs in the blank?
18,24,___,36,42

a)

28

b)

31

c)

30

d)

35

16.

How many blocks will be in the 4th term?

a)

The next term will have 16 blocks

b)

The next term will have 15 blocks.

c)

The next term will have 14 blocks.

d)

This is the end of the pattern.

17.

How many counters would come next?

a)

5

b)

7

c)

9

d)

11

18.

How many cubes would be in the next shape?

a)

15

b)

16

c)

17

d)

18

19.

What is the rule for this pattern?
32,36,40,44

a)

add 4

b)

multiply 2

c)

subtract 4

d)

divide by 2

20.

If you extended the pattern, how many dots would come next?

a)

16

b)

20

c)

25

d)

30

21.

Find the rule the pattern is using:

11,9,7,5,3

a)

Subtract 2

b)

Divide 3

c)

Add 3

d)

Subtract 3

22.

A linear relation:

a)

is a straight line

b)

is a relationship between two variables

c)

can be described using slope and y-intercept

d)

all of the above

e)

none of the above

23.

What is the cost for 5 items?

a)

5

b)

0

c)

30

d)

25

24.

The initial value is ...

a)

20

b)

0

c)

100

d)

5

25.

Kyla spends $_____ every week.

a)

100

b)

5

c)

105

d)

0

26.

What is the rule?

a)

T= 3 x P

b)

T = 6 x P + 3

c)

T = 3 x P + 6

d)

T = 9P

27.

The multiplier (RoC) for this pattern

a)

4

b)

3

c)

7

d)

2

28.

Determine the equation of the graph.

a)

y= -2x + 3

b)

y= -2 + 3x

c)

y= -3x - 2

d)

y= -2x-3

29.

Match the expression 9-n to its graph

a)

b)

c)

d)

30.

What is the pattern in the table below?

a)

multiplying the number of shots by 3

b)

adding 3 to the number of shots

c)

adding 1 to the number of shots

d)

dividing the number of shots by 3

31.

Write an equation for this relation.

a)

y = -5x

b)

y = -5x + 1

c)

y = 5x

d)

y = 5x - 1

32.

What expression would create this graph

a)

3n-1

b)

2n+1

c)

2n

d)

n÷2

33.

A dog walker earns $10 each day plus $3 per dog. What equation represents this model?

a)

y=3x + 10

b)

y=10x + 3

c)

y=13x

d)

y=10x - 3

34.

Which number in the ordered pair, (-4, 5) represents the x-value?

a)

-4

b)

5

35.

What letter is at the ordered pair (0, 3)?

a)

A

b)

M

c)

R

d)

L

36.

On the coordinate plane, which line is the x-axis?

a)

Horizontal Line (Side to Side)

b)

Vertical Line (Up and Down)

37.

Which quadrant contains the ordered pair (2, 5)?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

38.

A set of two real numbers that locate a point on a plane is called __________________.

a)

Origin

b)

Coordinate Plane

c)

Ordered Pair

d)

Graph

39.

Choose the correct equation.

a)

C = 3n+ 1

b)

C = 1n + 2

c)

C = 2n + 1

d)

C = 2n + 3

40.

Choose the correct equation.

a)

C = 3n+ 1

b)

C = 1n + 2

c)

C = 2n + 1

d)

C = 2n + 3

41.

Choose the correct equation.

a)

C = 3n+ 2

b)

C = 1n + 2

c)

C = 2n + 1

d)

C = 2n + 3

42.

Choose the correct equation.

a)

C = 3n+ 2

b)

C = 1n + 2

c)

C = 2n + 1

d)

C = n + 3

43.

What is the rule?

a)

C = n + 2

b)

C = 2n + 3

c)

C = n + 1

d)

C = 2n + 1

44.

a)

y = -10x

b)

y = -13x

c)

y = -22x

d)

y = 13x

45.

a)

y = 8x - 3

b)

y = 9x -3

c)

y = x - 3

d)

y = 2x - 3

46.

Q1 Write an equation for this relation. (Show work)

a)

y = -5x

b)

y = -5x + 1

c)

y = 5x

d)

y = 5x - 1

47.

Write the equation for this relation.

a)

y = -2x

b)

y = x - 4

c)

y = 2x - 5

d)

y = 2x + 4

48.

Q6 Which equation relates the figure number x and number of squares y (show work)

a)

y=3x+1

b)

y=x+3

c)

y=3x

d)

x=3y+1

49.

what is the expression that relates the figure number, x, and number of toothpicks, Y?

a)

y=2x+2

b)

2x+2

c)

4x+2

d)

y=4x+2

50.

if the Expression for a pattern was 2x-6, which is it's equation?

a)

y=2x+6

b)

y=2x-6

c)

x-3

d)

x=-3

51.

Q4 What is y when x=4 in this equation y=2x+4 (show work)

a)

12

b)

8

c)

28

d)

0

Linear Relations and Patterns

Total questions: 51

Worksheet time: 1hrs 13mins

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