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Algebraic reasoning and Coordinate planes

Total questions: 44

Worksheet time: 3hrs 33mins

Name
Class
Date
1.
[ (6 ÷ 2) x 6 + 4 x 7]
a)
141
b)
49
c)
46
d)
344
2.
[ (8 ÷ 2) x (10 x 5) ] ÷ 5
a)
12
b)
5
c)
40
d)
65
3.
What step would I do second ?
(4-2) x 9 + 7 =
a)
multiplication
b)
subtraction
c)
addition
d)
dividing
4.
Bridget simplified the numerical expression below. Select the step she should have completed first.
9+4÷[4X(5-4)]
a)
multiply the difference by 2
b)
Add 9 and 4
c)
Multiply 4 and 5
d)
Subtract 4 from 5
5.
[ ( 7 x 6) ] ÷ 6
a)
17
b)
6
c)
2 r 1 
d)
7
6.
Apply the order of operations and choose the correct answer:
40 - 8 + 4 x 2
a)
32
b)
40
c)
64
7.
Apply the order of operations and choose the correct answer:
5 x (6+4) x 5
a)
250
b)
170
8.
How do you write an ordered pair?
a)
(X,X)
b)
(Y,X)
c)
(X,Y)
d)
(Y,Y)
9.
In the ordered pair (4,9), which number is the y-coordinate?
a)
4
b)
9
c)
neither
d)
both
10.
What is coordinate R?
a)
(2,5)
b)
(0,1)
c)
(2,3)
d)
(1,0)
11.
What is Coordinate N?
a)
(7,6)
b)
(5,5)
c)
(6,6)
d)
(7,7)
12.
Ordered pair (0,0) is also known as the ___.
a)
y-axis
b)
x-axis
c)
origin
13.
What is coordinate L?
a)
(6,6)
b)
(2,5)
c)
(2,3)
d)
(5,2)
14.
Which ordered pair shows the correct coordinates of the mermaid?
a)
(6,1)
b)
(5,2)
c)
(2,5)
d)
(1,3)
15.
The first number in an ordered pair stands for...
a)
The Y axis
b)
The X axis
c)
The Z axis
16.
In the ordered pair (6,5) which number is located on the Y axis?
a)

6

b)
5
17.
What is located at (4,2)?
a)
Furniture Store
b)
Post Office
c)
Garbage Dump
d)
Grocery Store
18.
What is the ordered pair for the letter B?
a)
(4,3)
b)
(4,8)
c)
(5,3)
d)
(8,4)
19.
What letter is located at (6,7)?
a)
M
b)
N
c)
O
d)
P
20.
What is at (1,2)?
a)
the moon
b)
the sun
c)
a blue planet
d)
a robot
21.
Is the picture showing an additive or a multiplicative relationship?
a)
Additive
b)
Multiplicative
22.
Is the picture showing an additive or a multiplicative relationship?
a)
Additive
b)
Multiplicative
23.
Is the picture showing an additive or a multiplicative relationship?
a)
Additive
b)
Multiplicative
24.
Which graphs show an additive relationship?
a)
A only
b)
A & C only
c)
A & D only
d)
B & C only
25.
Which axis runs horizontally?
a)
x
b)
y
26.
What type of relationship does the graph represent?
a)
additive
b)
multiplicative
c)
none of the above
27.
Answer the following question.
a)
A
b)
B
c)
C
d)
D
28.
Which equation matches the table?
a)
y = x + 5
b)
y = 5x
c)
y = x - 5
d)
x = y - 5
29.

The table shows how many points Joaquin and Jerome scored during 4 basketball games. Which best describes the pattern shown in the table?

a)

It is an additive pattern because the point (0,0) fits the pattern.

b)

It is a multiplicative pattern because Jerome’s points are multiplied by 6 to find Joaquin’s points.

c)

It is a multiplicative pattern because Jerome’s points are doubled to find Joaquin’s points.

d)

It is an additive pattern because 6 is added to Jerome’s points to find Joaquin’s points.

30.

What is the expression for the table?

a)

x+4

b)

2x

c)

4x

d)

2+x

31.

What is the pattern of the table?

a)

additive because you add by 3

b)

additive because you add by 6

c)

multiplicative because you multiply by 2

d)

multiplicative because you multiply by 3

32.

What is the pattern of the table?

a)

multiplicative because you multiply by 10

b)

multiplicative because you multiply by 2

c)

additive because you add by 10

d)

additive because you add by 2

33.

What is the pattern of the table?

a)

additive because you add by 8

b)

additive because you add by 7

c)

multiplicative because you multiply by 2

d)

multiplicative because you multiply by 7

34.
Is the picture showing an additive or a multiplicative relationship?
a)
Additive
b)
Multiplicative
35.
Is the picture showing an additive or a multiplicative relationship?
a)
Additive
b)
Multiplicative
36.
Is the picture showing an additive or a multiplicative relationship?
a)
Additive
b)
Multiplicative
37.
What is the equation?
a)
y = x + 5
b)
y = 5x
c)
y = x - 5
d)
y = 7x
38.
What type of relationship is represented in the graph?
a)
additive
b)
multiplicative
c)
none of the above
39.
Answer the following question.
a)
A
b)
B
c)
C
d)
D
40.
Answer the following question.
a)
A
b)
B
c)
C
d)
D
41.
What equation can be used to represent the relationship between the input (x) and output (y)?
a)
y = x + 4
b)
y = 3x
c)
x = y + 4
d)
x = 3y
42.
What kind of relationship is this?
a)
Additive
b)
Multiplicative
43.
What kind of relationship is this?
a)
Additive
b)
Multiplicative
44.
In graphs of multiplicative relationships, the graph always starts at the origin.
a)
True
b)
False

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