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Math Problems
Grade 6
Properties of addition
Alexis solved this equation:
\newline
−
2
(
4
p
−
11
)
+
7
p
=
−
10
p
−
14
-2(4p - 11) + 7p = -10p - 14
−
2
(
4
p
−
11
)
+
7
p
=
−
10
p
−
14
\newline
−
8
p
+
22
+
7
p
=
−
10
p
−
14
-8p + 22 + 7p = -10p - 14
−
8
p
+
22
+
7
p
=
−
10
p
−
14
\newline
−
p
+
22
=
−
10
p
−
14
-p + 22 = -10p - 14
−
p
+
22
=
−
10
p
−
14
\newline
9
p
+
22
=
−
14
9p + 22 = -14
9
p
+
22
=
−
14
\newline
9
p
=
−
36
9p = -36
9
p
=
−
36
\newline
p
=
−
4
p = -4
p
=
−
4
\newline
Which property is not needed to justify any of the steps?
\newline
Choices:
\newline
(A) division property of equality
\newline
(B) identity property of addition
\newline
(C) addition property of equality
\newline
(D) distributive property
Get tutor help
Which equation shows the associative property of addition?
\newline
Choices:
\newline
(A)
n
=
p
+
q
+
r
n = p + q + r
n
=
p
+
q
+
r
\newline
(B)
(
n
+
p
)
+
q
=
n
+
(
p
+
q
)
(n + p) + q = n + (p + q)
(
n
+
p
)
+
q
=
n
+
(
p
+
q
)
\newline
(C)
n
+
p
=
p
+
n
n + p = p + n
n
+
p
=
p
+
n
\newline
(D)
q
=
n
+
p
q = n + p
q
=
n
+
p
Get tutor help
Which equation shows the commutative property of addition?
\newline
Choices:
\newline
(A)
g
+
h
=
h
+
g
g + h = h + g
g
+
h
=
h
+
g
\newline
(B)
g
=
g
+
0
g = g + 0
g
=
g
+
0
\newline
(C)
g
=
h
+
j
+
k
g = h + j + k
g
=
h
+
j
+
k
\newline
(D)
g
=
0
+
g
g = 0 + g
g
=
0
+
g
Get tutor help
Which property of addition is shown?
\newline
8
+
6
=
6
+
8
8 + 6 = 6 + 8
8
+
6
=
6
+
8
\newline
Choices:
\newline
(A)associative
\newline
(B)commutative
\newline
(C)identity
Get tutor help
Which property of addition is shown?
\newline
(
1
+
9
)
+
8
=
1
+
(
9
+
8
)
(1 + 9) + 8 = 1 + (9 + 8)
(
1
+
9
)
+
8
=
1
+
(
9
+
8
)
\newline
Choices:
\newline
(A)associative
\newline
(B)commutative
\newline
(C)identity
Get tutor help
Which property of addition is shown?
\newline
h
+
0
=
h
h + 0 = h
h
+
0
=
h
\newline
Choices:
\newline
(A)associative
\newline
(B)commutative
\newline
(C)identity
Get tutor help
Which property of addition is shown?
\newline
4
+
8
=
8
+
4
4 + 8 = 8 + 4
4
+
8
=
8
+
4
\newline
Choices:
\newline
(A) associative
\newline
(B) commutative
\newline
(C) identity
Get tutor help
Which equation shows the identity property of addition?
\newline
Choices:
\newline
(A)
m
+
n
=
k
+
m
m + n = k + m
m
+
n
=
k
+
m
\newline
(B)
m
+
n
+
p
=
k
m + n + p = k
m
+
n
+
p
=
k
\newline
(C)
k
+
m
=
m
+
k
k + m = m + k
k
+
m
=
m
+
k
\newline
(D)
k
=
0
+
k
k = 0 + k
k
=
0
+
k
Get tutor help
Which property of addition is shown?
\newline
7
+
5
=
5
+
7
7 + 5 = 5 + 7
7
+
5
=
5
+
7
\newline
Choices:
\newline
(A) associative
\newline
(B) commutative
\newline
(C) identity
Get tutor help
Which equation shows the associative property of addition?
\newline
Choices:
\newline
(A)
(
5
+
1
)
+
2
=
5
+
(
1
+
2
)
(5 + 1) + 2 = 5 + (1 + 2)
(
5
+
1
)
+
2
=
5
+
(
1
+
2
)
\newline
(B)
4
=
0
+
4
4 = 0 + 4
4
=
0
+
4
\newline
(C)
12
=
4
+
8
12 = 4 + 8
12
=
4
+
8
\newline
(D)
9
+
6
=
6
+
9
9 + 6 = 6 + 9
9
+
6
=
6
+
9
Get tutor help
Which equation shows the associative property of addition?
\newline
Choices:
\newline
(A)
t
+
u
=
u
+
t
t + u = u + t
t
+
u
=
u
+
t
\newline
(B)
t
=
u
+
v
+
w
t = u + v + w
t
=
u
+
v
+
w
\newline
(C)
t
+
(
u
+
v
)
=
(
t
+
u
)
+
v
t + (u + v) = (t + u) + v
t
+
(
u
+
v
)
=
(
t
+
u
)
+
v
\newline
(D)
t
+
u
=
v
t + u = v
t
+
u
=
v
Get tutor help
Which equation shows the identity property of addition?
\newline
Choices:
\newline
(A)
8
+
9
=
9
+
8
8 + 9 = 9 + 8
8
+
9
=
9
+
8
\newline
(B)
3
+
9
=
4
+
8
3 + 9 = 4 + 8
3
+
9
=
4
+
8
\newline
(C)
0
+
2
=
2
0 + 2 = 2
0
+
2
=
2
\newline
(D)
7
+
(
9
+
5
)
=
(
7
+
9
)
+
5
7 + (9 + 5) = (7 + 9) + 5
7
+
(
9
+
5
)
=
(
7
+
9
)
+
5
Get tutor help
Which property of addition is shown?
\newline
9
+
1
=
1
+
9
9 + 1 = 1 + 9
9
+
1
=
1
+
9
\newline
Choices:
\newline
(A) associative
\newline
(B) commutative
\newline
(C) identity
Get tutor help
Which equation shows the identity property of addition?
\newline
Choices:
\newline
(A)
16
=
7
+
9
16 = 7 + 9
16
=
7
+
9
\newline
(B)
3
+
9
=
3
+
9
3 + 9 = 3 + 9
3
+
9
=
3
+
9
\newline
(C)
0
+
6
=
6
0 + 6 = 6
0
+
6
=
6
\newline
(D)
4
+
2
=
2
+
4
4 + 2 = 2 + 4
4
+
2
=
2
+
4
Get tutor help
Which property of addition is shown?
\newline
9
+
3
=
3
+
9
9 + 3 = 3 + 9
9
+
3
=
3
+
9
\newline
Choices:
\newline
(A) associative
\newline
(B) commutative
\newline
(C) identity
Get tutor help
Which property of addition is shown?
\newline
(
5
+
9
)
+
1
=
5
+
(
9
+
1
)
(5 + 9) + 1 = 5 + (9 + 1)
(
5
+
9
)
+
1
=
5
+
(
9
+
1
)
\newline
Choices:
\newline
(A)associative
\newline
(B)commutative
\newline
(C)identity
Get tutor help
Which equation shows the commutative property of addition?
\newline
Choices:
\newline
(A)
(
7
+
9
)
+
2
=
7
+
(
9
+
2
)
(7 + 9) + 2 = 7 + (9 + 2)
(
7
+
9
)
+
2
=
7
+
(
9
+
2
)
\newline
(B)
1
+
3
+
8
=
12
1 + 3 + 8 = 12
1
+
3
+
8
=
12
\newline
(C)
0
+
4
=
4
0 + 4 = 4
0
+
4
=
4
\newline
(D)
3
+
5
=
5
+
3
3 + 5 = 5 + 3
3
+
5
=
5
+
3
Get tutor help
Which property of addition is shown?
\newline
3
+
6
=
6
+
3
3 + 6 = 6 + 3
3
+
6
=
6
+
3
\newline
Choices:
\newline
(A) associative
\newline
(B) commutative
\newline
(C) identity
Get tutor help
Which property of addition is shown?
\newline
a
+
(
b
+
c
)
=
(
a
+
b
)
+
c
a + (b + c) = (a + b) + c
a
+
(
b
+
c
)
=
(
a
+
b
)
+
c
\newline
Choices:
\newline
(A)associative
\newline
(B)commutative
\newline
(C)identity
Get tutor help
Which property of addition is shown?
\newline
3
+
5
=
5
+
3
3 + 5 = 5 + 3
3
+
5
=
5
+
3
\newline
Choices:
\newline
(A) associative
\newline
(B) commutative
\newline
(C) identity
Get tutor help
Which equation shows the associative property of addition?
\newline
Choices:
\newline
(A)
q
=
0
+
q
q = 0 + q
q
=
0
+
q
\newline
(B)
q
+
(
r
+
s
)
=
(
q
+
r
)
+
s
q + (r + s) = (q + r) + s
q
+
(
r
+
s
)
=
(
q
+
r
)
+
s
\newline
(C)
q
+
r
=
r
+
q
q + r = r + q
q
+
r
=
r
+
q
\newline
(D)
q
=
r
+
s
+
t
q = r + s + t
q
=
r
+
s
+
t
Get tutor help
Which property of addition is shown?
\newline
(
n
+
p
)
+
q
=
n
+
(
p
+
q
)
(n + p) + q = n + (p + q)
(
n
+
p
)
+
q
=
n
+
(
p
+
q
)
\newline
Choices:
\newline
(A)associative
\newline
(B)commutative
\newline
(C)identity
Get tutor help
Which equation shows the commutative property of addition?
\newline
Choices:
\newline
(A)
k
+
m
=
n
k + m = n
k
+
m
=
n
\newline
(B)
(
k
+
m
)
+
n
=
k
+
(
m
+
n
)
(k + m) + n = k + (m + n)
(
k
+
m
)
+
n
=
k
+
(
m
+
n
)
\newline
(C)
k
+
m
=
m
+
k
k + m = m + k
k
+
m
=
m
+
k
\newline
(D)
k
=
0
+
k
k = 0 + k
k
=
0
+
k
Get tutor help
Which equation shows the commutative property of addition?
\newline
Choices:
\newline
(A)
(
a
+
b
)
+
c
=
a
+
(
b
+
c
)
(a + b) + c = a + (b + c)
(
a
+
b
)
+
c
=
a
+
(
b
+
c
)
\newline
(B)
c
+
d
=
a
+
b
c + d = a + b
c
+
d
=
a
+
b
\newline
(C)
0
+
a
=
a
0 + a = a
0
+
a
=
a
\newline
(D)
b
+
a
=
a
+
b
b + a = a + b
b
+
a
=
a
+
b
Get tutor help
Which property of addition is shown?
\newline
(
q
+
r
)
+
s
=
q
+
(
r
+
s
)
(q + r) + s = q + (r + s)
(
q
+
r
)
+
s
=
q
+
(
r
+
s
)
\newline
Choices:
\newline
(A)associative
\newline
(B)commutative
\newline
(C)identity
Get tutor help
Which property of addition is shown?
\newline
s
+
r
=
r
+
s
s + r = r + s
s
+
r
=
r
+
s
\newline
Choices:
\newline
(A) associative
\newline
(B) commutative
\newline
(C) identity
Get tutor help
Which property of addition is shown?
\newline
b
+
c
=
c
+
b
b + c = c + b
b
+
c
=
c
+
b
\newline
Choices:
\newline
(A) associative
\newline
(B) commutative
\newline
(C) identity
Get tutor help
Which property of addition is shown?
\newline
s
+
t
=
t
+
s
s + t = t + s
s
+
t
=
t
+
s
\newline
Choices:
\newline
(A)associative
\newline
(B)commutative
\newline
(C)identity
Get tutor help
Which equation shows the associative property of addition?
\newline
Choices:
\newline
(A)
a
+
(
b
+
c
)
=
(
a
+
b
)
+
c
a + (b + c) = (a + b) + c
a
+
(
b
+
c
)
=
(
a
+
b
)
+
c
\newline
(B)
c
+
d
=
a
+
b
c + d = a + b
c
+
d
=
a
+
b
\newline
(C)
a
+
b
=
b
+
c
a + b = b + c
a
+
b
=
b
+
c
\newline
(D)
a
=
0
+
a
a = 0 + a
a
=
0
+
a
Get tutor help
Which equation shows the associative property of addition?
\newline
Choices:
\newline
(A)
u
+
v
=
v
+
w
u + v = v + w
u
+
v
=
v
+
w
\newline
(B)
u
+
(
v
+
w
)
=
(
u
+
v
)
+
w
u + (v + w) = (u + v) + w
u
+
(
v
+
w
)
=
(
u
+
v
)
+
w
\newline
(C)
0
+
u
=
u
0 + u = u
0
+
u
=
u
\newline
(D)
u
+
v
=
v
+
u
u + v = v + u
u
+
v
=
v
+
u
Get tutor help
Which equation shows the commutative property of addition?
\newline
Choices:
\newline
(A)
s
=
s
+
0
s = s + 0
s
=
s
+
0
\newline
(B)
t
+
s
=
s
+
t
t + s = s + t
t
+
s
=
s
+
t
\newline
(C)
s
+
t
=
u
+
v
s + t = u + v
s
+
t
=
u
+
v
\newline
(D)
s
+
(
t
+
u
)
=
(
s
+
t
)
+
u
s + (t + u) = (s + t) + u
s
+
(
t
+
u
)
=
(
s
+
t
)
+
u
Get tutor help
Which equation shows the associative property of addition?
\newline
Choices:
\newline
(A)
r
+
0
=
r
r + 0 = r
r
+
0
=
r
\newline
(B)
(
r
+
s
)
+
t
=
r
+
(
s
+
t
)
(r + s) + t = r + (s + t)
(
r
+
s
)
+
t
=
r
+
(
s
+
t
)
\newline
(C)
t
+
u
=
r
+
s
t + u = r + s
t
+
u
=
r
+
s
\newline
(D)
r
=
0
+
r
r = 0 + r
r
=
0
+
r
Get tutor help
Which property of addition is shown?
\newline
v
+
u
=
u
+
v
v + u = u + v
v
+
u
=
u
+
v
\newline
Choices:
\newline
(A) associative
\newline
(B) commutative
\newline
(C) identity
Get tutor help
Which equation shows the identity property of addition?
\newline
Choices:
\newline
(A)
m
=
n
+
p
+
q
m = n + p + q
m
=
n
+
p
+
q
\newline
(B)
m
+
n
=
n
+
m
m + n = n + m
m
+
n
=
n
+
m
\newline
(C)
m
=
m
+
0
m = m + 0
m
=
m
+
0
\newline
(D)
p
+
q
=
m
+
n
p + q = m + n
p
+
q
=
m
+
n
Get tutor help
Which property of addition is shown?
\newline
(
b
+
c
)
+
d
=
b
+
(
c
+
d
)
(b + c) + d = b + (c + d)
(
b
+
c
)
+
d
=
b
+
(
c
+
d
)
\newline
Choices:
\newline
(A) associative
\newline
(B) commutative
\newline
(C) identity
Get tutor help
Which equation shows the identity property of addition?
\newline
Choices:
\newline
(A)
r
+
(
s
+
t
)
=
(
r
+
s
)
+
t
r + (s + t) = (r + s) + t
r
+
(
s
+
t
)
=
(
r
+
s
)
+
t
\newline
(B)
r
+
0
=
r
r + 0 = r
r
+
0
=
r
\newline
(C)
t
=
r
+
s
t = r + s
t
=
r
+
s
\newline
(D)
s
+
r
=
r
+
s
s + r = r + s
s
+
r
=
r
+
s
Get tutor help
Which property of addition is shown?
\newline
(
r
+
s
)
+
t
=
r
+
(
s
+
t
)
(r + s) + t = r + (s + t)
(
r
+
s
)
+
t
=
r
+
(
s
+
t
)
\newline
Choices:
\newline
(A)associative
\newline
(B)commutative
\newline
(C)identity
Get tutor help
Which equation shows the commutative property of addition?
\newline
Choices:
\newline
(A)
r
+
s
=
s
+
r
r + s = s + r
r
+
s
=
s
+
r
\newline
(B)
r
=
r
+
0
r = r + 0
r
=
r
+
0
\newline
(C)
0
+
r
=
r
0 + r = r
0
+
r
=
r
\newline
(D)
r
+
(
s
+
t
)
=
(
r
+
s
)
+
t
r + (s + t) = (r + s) + t
r
+
(
s
+
t
)
=
(
r
+
s
)
+
t
Get tutor help
Which property of addition is shown?
\newline
u
+
(
v
+
w
)
=
(
u
+
v
)
+
w
u + (v + w) = (u + v) + w
u
+
(
v
+
w
)
=
(
u
+
v
)
+
w
\newline
Choices:
\newline
(A)associative
\newline
(B)commutative
\newline
(C)identity
Get tutor help
Which equation shows the identity property of addition?
\newline
Choices:
\newline
(A)
r
=
0
+
r
r = 0 + r
r
=
0
+
r
\newline
(B)
r
=
s
+
t
+
u
r = s + t + u
r
=
s
+
t
+
u
\newline
(C)
r
+
(
s
+
t
)
=
(
r
+
s
)
+
t
r + (s + t) = (r + s) + t
r
+
(
s
+
t
)
=
(
r
+
s
)
+
t
\newline
(D)
s
+
r
=
r
+
s
s + r = r + s
s
+
r
=
r
+
s
Get tutor help
Which property of addition is shown?
\newline
r
+
(
s
+
t
)
=
(
r
+
s
)
+
t
r + (s + t) = (r + s) + t
r
+
(
s
+
t
)
=
(
r
+
s
)
+
t
\newline
Choices:
\newline
(A)associative
\newline
(B)commutative
\newline
(C)identity
Get tutor help
Which property of addition is shown?
\newline
b
=
b
+
0
b = b + 0
b
=
b
+
0
\newline
Choices:
\newline
(A) associative
\newline
(B) commutative
\newline
(C) identity
Get tutor help
Which equation shows the associative property of addition?
\newline
Choices:
\newline
(A)
(
s
+
t
)
+
u
=
s
+
(
t
+
u
)
(s + t) + u = s + (t + u)
(
s
+
t
)
+
u
=
s
+
(
t
+
u
)
\newline
(B)
0
+
s
=
s
0 + s = s
0
+
s
=
s
\newline
(C)
s
+
t
=
t
+
s
s + t = t + s
s
+
t
=
t
+
s
\newline
(D)
t
+
u
+
v
=
s
t + u + v = s
t
+
u
+
v
=
s
Get tutor help
Which property of addition is shown?
\newline
m
+
(
n
+
p
)
=
(
m
+
n
)
+
p
m + (n + p) = (m + n) + p
m
+
(
n
+
p
)
=
(
m
+
n
)
+
p
\newline
Choices:
\newline
(A)associative
\newline
(B)commutative
\newline
(C)identity
Get tutor help
Which property of addition is shown?
\newline
h
+
(
j
+
k
)
=
(
h
+
j
)
+
k
h + (j + k) = (h + j) + k
h
+
(
j
+
k
)
=
(
h
+
j
)
+
k
\newline
Choices:
\newline
(A)associative
\newline
(B)commutative
\newline
(C)identity
Get tutor help
Which property of addition is shown?
\newline
p
+
n
=
n
+
p
p + n = n + p
p
+
n
=
n
+
p
\newline
Choices:
\newline
(A)associative
\newline
(B)commutative
\newline
(C)identity
Get tutor help
Which property of addition is shown?
\newline
t
+
u
=
u
+
t
t + u = u + t
t
+
u
=
u
+
t
\newline
Choices:
\newline
(A)associative
\newline
(B)commutative
\newline
(C)identity
Get tutor help
Which equation shows the identity property of addition?
\newline
Choices:
\newline
(A)
n
=
0
+
n
n = 0 + n
n
=
0
+
n
\newline
(B)
n
=
p
+
q
+
r
n = p + q + r
n
=
p
+
q
+
r
\newline
(C)
n
+
(
p
+
q
)
=
(
n
+
p
)
+
q
n + (p + q) = (n + p) + q
n
+
(
p
+
q
)
=
(
n
+
p
)
+
q
\newline
(D)
n
+
p
=
p
+
q
n + p = p + q
n
+
p
=
p
+
q
Get tutor help
Which property of addition is shown?
\newline
r
+
q
=
q
+
r
r + q = q + r
r
+
q
=
q
+
r
\newline
Choices:
\newline
(A)associative
\newline
(B)commutative
\newline
(C)identity
Get tutor help
Which equation shows the associative property of addition?
\newline
Choices:
\newline
(A)
b
+
c
=
d
b + c = d
b
+
c
=
d
\newline
(B)
b
+
c
=
c
+
b
b + c = c + b
b
+
c
=
c
+
b
\newline
(C)
c
+
d
=
b
+
c
c + d = b + c
c
+
d
=
b
+
c
\newline
(D)
(
b
+
c
)
+
d
=
b
+
(
c
+
d
)
(b + c) + d = b + (c + d)
(
b
+
c
)
+
d
=
b
+
(
c
+
d
)
Get tutor help
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