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Math Problems
Algebra 1
Properties of addition and multiplication
Which equation shows the commutative property of addition?
\newline
Choices:
\newline
(A)
d
=
d
+
0
d = d + 0
d
=
d
+
0
\newline
(B)
f
+
d
=
d
+
f
f + d = d + f
f
+
d
=
d
+
f
\newline
(C)
d
+
(
f
+
g
)
=
(
d
+
f
)
+
g
d + (f + g) = (d + f) + g
d
+
(
f
+
g
)
=
(
d
+
f
)
+
g
\newline
(D)
0
+
d
=
d
0 + d = d
0
+
d
=
d
Get tutor help
Which equation shows the commutative property of multiplication?
\newline
Choices:
\newline
(A)
0
=
0
⋅
g
0 = 0 \cdot g
0
=
0
⋅
g
\newline
(B)
j
+
k
=
g
⋅
h
j + k = g \cdot h
j
+
k
=
g
⋅
h
\newline
(C)
h
⋅
g
=
g
⋅
h
h \cdot g = g \cdot h
h
⋅
g
=
g
⋅
h
\newline
(D)
g
⋅
h
−
g
⋅
j
=
g
⋅
(
h
−
j
)
g \cdot h - g \cdot j = g \cdot (h - j)
g
⋅
h
−
g
⋅
j
=
g
⋅
(
h
−
j
)
Get tutor help
Which property of multiplication is shown?
\newline
(
s
+
t
)
⋅
u
=
s
⋅
u
+
t
⋅
u
(s + t) \cdot u = s \cdot u + t \cdot u
(
s
+
t
)
⋅
u
=
s
⋅
u
+
t
⋅
u
\newline
Choices:
\newline
(A)zero
\newline
(B)associative
\newline
(C)identity
\newline
(D)distributive
Get tutor help
Which property of multiplication is shown?
\newline
0
=
0
⋅
k
0 = 0 \cdot k
0
=
0
⋅
k
\newline
Choices:
\newline
(A) commutative
\newline
(B) distributive
\newline
(C) zero
\newline
(D) identity
Get tutor help
Which equation shows the identity property of multiplication?
\newline
Choices:
\newline
(A)
1
⋅
f
=
f
1 \cdot f = f
1
⋅
f
=
f
\newline
(B)
g
⋅
f
=
f
⋅
g
g \cdot f = f \cdot g
g
⋅
f
=
f
⋅
g
\newline
(C)
(
f
⋅
g
)
⋅
h
=
f
⋅
(
g
⋅
h
)
(f \cdot g) \cdot h = f \cdot (g \cdot h)
(
f
⋅
g
)
⋅
h
=
f
⋅
(
g
⋅
h
)
\newline
(D)
f
⋅
g
−
f
⋅
h
=
f
⋅
(
g
−
h
)
f \cdot g - f \cdot h = f \cdot (g - h)
f
⋅
g
−
f
⋅
h
=
f
⋅
(
g
−
h
)
Get tutor help
Which equation shows the zero property of multiplication?
\newline
Choices:
\newline
(A)
(
m
−
n
)
⋅
p
=
m
⋅
p
−
n
⋅
p
(m - n) \cdot p = m \cdot p - n \cdot p
(
m
−
n
)
⋅
p
=
m
⋅
p
−
n
⋅
p
\newline
(B)
0
⋅
m
=
0
0 \cdot m = 0
0
⋅
m
=
0
\newline
(C)
m
⋅
n
=
p
⋅
q
m \cdot n = p \cdot q
m
⋅
n
=
p
⋅
q
\newline
(D)
m
=
m
⋅
1
m = m \cdot 1
m
=
m
⋅
1
Get tutor help
Which equation shows the distributive property of multiplication?
\newline
Choices:
\newline
(A)
m
⋅
(
n
⋅
p
)
=
(
m
⋅
n
)
⋅
p
m \cdot (n \cdot p) = (m \cdot n) \cdot p
m
⋅
(
n
⋅
p
)
=
(
m
⋅
n
)
⋅
p
\newline
(B)
0
=
0
⋅
m
0 = 0 \cdot m
0
=
0
⋅
m
\newline
(C)
m
⋅
n
−
m
⋅
p
=
m
⋅
(
n
−
p
)
m \cdot n - m \cdot p = m \cdot (n - p)
m
⋅
n
−
m
⋅
p
=
m
⋅
(
n
−
p
)
\newline
(D)
m
⋅
1
=
m
m \cdot 1 = m
m
⋅
1
=
m
Get tutor help
Which property of addition is shown?
\newline
g
+
f
=
f
+
g
g + f = f + g
g
+
f
=
f
+
g
\newline
Choices:
\newline
(A)associative
\newline
(B)commutative
\newline
(C)identity
Get tutor help
Which property of multiplication is shown?
\newline
r
⋅
s
=
s
⋅
r
r \cdot s = s \cdot r
r
⋅
s
=
s
⋅
r
\newline
Choices:
\newline
(A) associative
\newline
(B) identity
\newline
(C) zero
\newline
(D) commutative
Get tutor help
Which equation shows the identity property of multiplication?
\newline
Choices:
\newline
(A)
1
⋅
f
=
f
1 \cdot f = f
1
⋅
f
=
f
\newline
(B)
0
⋅
f
=
0
0 \cdot f = 0
0
⋅
f
=
0
\newline
(C)
g
⋅
f
=
f
⋅
g
g \cdot f = f \cdot g
g
⋅
f
=
f
⋅
g
\newline
(D)
f
⋅
g
−
f
⋅
h
=
f
⋅
(
g
−
h
)
f \cdot g - f \cdot h = f \cdot (g - h)
f
⋅
g
−
f
⋅
h
=
f
⋅
(
g
−
h
)
Get tutor help
Which equation shows the associative property of multiplication?
\newline
Choices:
\newline
(A)
0
=
c
⋅
0
0 = c \cdot 0
0
=
c
⋅
0
\newline
(B)
(
c
+
d
)
⋅
f
=
c
⋅
f
+
d
⋅
f
(c + d) \cdot f = c \cdot f + d \cdot f
(
c
+
d
)
⋅
f
=
c
⋅
f
+
d
⋅
f
\newline
(C)
f
+
g
=
c
⋅
d
f + g = c \cdot d
f
+
g
=
c
⋅
d
\newline
(D)
(
c
⋅
d
)
⋅
f
=
c
⋅
(
d
⋅
f
)
(c \cdot d) \cdot f = c \cdot (d \cdot f)
(
c
⋅
d
)
⋅
f
=
c
⋅
(
d
⋅
f
)
Get tutor help
Which equation shows the distributive property of multiplication?
\newline
Choices:
\newline
(A)
(
n
+
p
)
⋅
q
=
n
⋅
q
+
p
⋅
q
(n + p) \cdot q = n \cdot q + p \cdot q
(
n
+
p
)
⋅
q
=
n
⋅
q
+
p
⋅
q
\newline
(B)
q
+
r
=
n
⋅
p
q + r = n \cdot p
q
+
r
=
n
⋅
p
\newline
(C)
n
⋅
1
=
n
n \cdot 1 = n
n
⋅
1
=
n
\newline
(D)
n
⋅
p
=
p
⋅
n
n \cdot p = p \cdot n
n
⋅
p
=
p
⋅
n
Get tutor help
Which property of addition is shown?
\newline
0
+
d
=
d
0 + d = d
0
+
d
=
d
\newline
Choices:
\newline
(A)associative
\newline
(B)commutative
\newline
(C)identity
Get tutor help
Which property of addition is shown?
\newline
c
+
(
d
+
f
)
=
(
c
+
d
)
+
f
c + (d + f) = (c + d) + f
c
+
(
d
+
f
)
=
(
c
+
d
)
+
f
\newline
Choices:
\newline
(A)associative
\newline
(B)commutative
\newline
(C)identity
Get tutor help
Which property of multiplication is shown?
\newline
u
⋅
(
v
⋅
w
)
=
(
u
⋅
v
)
⋅
w
u \cdot (v \cdot w) = (u \cdot v) \cdot w
u
⋅
(
v
⋅
w
)
=
(
u
⋅
v
)
⋅
w
\newline
Choices:
\newline
(A)zero
\newline
(B)identity
\newline
(C)associative
\newline
(D)commutative
Get tutor help
Which property of multiplication is shown?
\newline
(
t
⋅
u
)
⋅
v
=
t
⋅
(
u
⋅
v
)
(t \cdot u) \cdot v = t \cdot (u \cdot v)
(
t
⋅
u
)
⋅
v
=
t
⋅
(
u
⋅
v
)
\newline
Choices:
\newline
(A) identity
\newline
(B) distributive
\newline
(C) associative
\newline
(D) zero
\newline
Get tutor help
Which property of multiplication is shown?
\newline
c
=
1
⋅
c
c = 1 \cdot c
c
=
1
⋅
c
\newline
Choices:
\newline
(A)zero
\newline
(B)identity
\newline
(C)associative
\newline
(D)distributive
\newline
Get tutor help
Which equation shows the identity property of multiplication?
\newline
Choices:
\newline
(A)
(
p
+
q
)
⋅
r
=
p
⋅
r
+
q
⋅
r
(p + q) \cdot r = p \cdot r + q \cdot r
(
p
+
q
)
⋅
r
=
p
⋅
r
+
q
⋅
r
\newline
(B)
p
=
p
⋅
1
p = p \cdot 1
p
=
p
⋅
1
\newline
(C)
p
+
r
=
p
⋅
q
p + r = p \cdot q
p
+
r
=
p
⋅
q
\newline
(D)
q
⋅
p
=
p
⋅
q
q \cdot p = p \cdot q
q
⋅
p
=
p
⋅
q
Get tutor help
Which equation shows the distributive property of multiplication?
\newline
Choices:
\newline
(A)
g
⋅
h
−
g
⋅
j
=
g
⋅
(
h
−
j
)
g \cdot h - g \cdot j = g \cdot (h - j)
g
⋅
h
−
g
⋅
j
=
g
⋅
(
h
−
j
)
\newline
(B)
g
=
g
⋅
1
g = g \cdot 1
g
=
g
⋅
1
\newline
(C)
h
⋅
g
=
g
⋅
h
h \cdot g = g \cdot h
h
⋅
g
=
g
⋅
h
\newline
(D)
g
⋅
h
=
h
⋅
g
g \cdot h = h \cdot g
g
⋅
h
=
h
⋅
g
Get tutor help
Which equation shows the commutative property of multiplication?
\newline
Choices:
\newline
(A)
a
⋅
b
=
c
+
d
a \cdot b = c + d
a
⋅
b
=
c
+
d
\newline
(B)
b
⋅
a
=
a
⋅
b
b \cdot a = a \cdot b
b
⋅
a
=
a
⋅
b
\newline
(C)
a
⋅
1
=
a
a \cdot 1 = a
a
⋅
1
=
a
\newline
(D)
(
a
⋅
b
)
⋅
c
=
a
⋅
(
b
⋅
c
)
(a \cdot b) \cdot c = a \cdot (b \cdot c)
(
a
⋅
b
)
⋅
c
=
a
⋅
(
b
⋅
c
)
Get tutor help
Which equation shows the zero property of multiplication?
\newline
Choices:
\newline
(A)
k
⋅
0
=
0
k \cdot 0 = 0
k
⋅
0
=
0
\newline
(B)
(
k
+
m
)
⋅
n
=
k
⋅
n
+
m
⋅
n
(k + m) \cdot n = k \cdot n + m \cdot n
(
k
+
m
)
⋅
n
=
k
⋅
n
+
m
⋅
n
\newline
(C)
k
=
k
⋅
1
k = k \cdot 1
k
=
k
⋅
1
\newline
(D)
1
⋅
k
=
k
1 \cdot k = k
1
⋅
k
=
k
Get tutor help
Which property of multiplication is shown?
\newline
0
=
0
⋅
k
0 = 0 \cdot k
0
=
0
⋅
k
\newline
Choices:
\newline
(A) associative
\newline
(B) distributive
\newline
(C) identity
\newline
(D) zero
Get tutor help
Which property of multiplication is shown?
\newline
0
=
t
⋅
0
0 = t \cdot 0
0
=
t
⋅
0
\newline
Choices:
\newline
(A)commutative
\newline
(B)zero
\newline
(C)associative
\newline
(D)distributive
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)
j
=
g
+
h
j = g + h
j
=
g
+
h
\newline
(C)
h
+
j
+
k
=
g
h + j + k = g
h
+
j
+
k
=
g
\newline
(D)
0
+
g
=
g
0 + g = g
0
+
g
=
g
Get tutor help
Which property of multiplication is shown?
\newline
k
=
k
⋅
1
k = k \cdot 1
k
=
k
⋅
1
\newline
Choices:
\newline
(A) identity
\newline
(B) distributive
\newline
(C) commutative
\newline
(D) zero
Get tutor help
Which equation shows the associative property of multiplication?
\newline
Choices:
\newline
(A)
1
⋅
u
=
u
1 \cdot u = u
1
⋅
u
=
u
\newline
(B)
(
u
⋅
v
)
⋅
w
=
u
⋅
(
v
⋅
w
)
(u \cdot v) \cdot w = u \cdot (v \cdot w)
(
u
⋅
v
)
⋅
w
=
u
⋅
(
v
⋅
w
)
\newline
(C)
(
u
−
v
)
⋅
w
=
u
⋅
w
−
v
⋅
w
(u - v) \cdot w = u \cdot w - v \cdot w
(
u
−
v
)
⋅
w
=
u
⋅
w
−
v
⋅
w
\newline
(D)
u
⋅
v
=
w
⋅
y
u \cdot v = w \cdot y
u
⋅
v
=
w
⋅
y
Get tutor help
Which property of multiplication is shown?
\newline
s
⋅
(
t
⋅
u
)
=
(
s
⋅
t
)
⋅
u
s \cdot (t \cdot u) = (s \cdot t) \cdot u
s
⋅
(
t
⋅
u
)
=
(
s
⋅
t
)
⋅
u
\newline
Choices:
\newline
(A)zero
\newline
(B)distributive
\newline
(C)identity
\newline
(D)associative
Get tutor help
Which property of multiplication is shown?
\newline
1
⋅
h
=
h
1 \cdot h = h
1
⋅
h
=
h
\newline
Choices:
\newline
(A) commutative
\newline
(B) distributive
\newline
(C) associative
\newline
(D) identity
Get tutor help
Which property of multiplication is shown?
\newline
0
=
0
⋅
t
0 = 0 \cdot t
0
=
0
⋅
t
\newline
Choices:
\newline
(A) identity
\newline
(B) commutative
\newline
(C) distributive
\newline
(D) zero
\newline
Get tutor help
Which property of multiplication is shown?
\newline
m
⋅
(
n
⋅
p
)
=
(
m
⋅
n
)
⋅
p
m \cdot (n \cdot p) = (m \cdot n) \cdot p
m
⋅
(
n
⋅
p
)
=
(
m
⋅
n
)
⋅
p
\newline
Choices:
\newline
(A) associative
\newline
(B) commutative
\newline
(C) distributive
\newline
(D) zero
Get tutor help
Which equation shows the identity property of addition?
\newline
Choices:
\newline
(A)
(
d
+
f
)
+
g
=
d
+
(
f
+
g
)
(d + f) + g = d + (f + g)
(
d
+
f
)
+
g
=
d
+
(
f
+
g
)
\newline
(B)
d
=
0
+
d
d = 0 + d
d
=
0
+
d
\newline
(C)
g
=
d
+
f
g = d + f
g
=
d
+
f
\newline
(D)
d
+
f
=
f
+
g
d + f = f + g
d
+
f
=
f
+
g
Get tutor help
Which equation shows the commutative property of multiplication?
\newline
Choices:
\newline
(A)
b
⋅
c
=
c
⋅
b
b \cdot c = c \cdot b
b
⋅
c
=
c
⋅
b
\newline
(B)
b
⋅
c
+
b
⋅
d
=
b
⋅
(
c
+
d
)
b \cdot c + b \cdot d = b \cdot (c + d)
b
⋅
c
+
b
⋅
d
=
b
⋅
(
c
+
d
)
\newline
(C)
b
⋅
(
c
−
d
)
=
b
⋅
c
−
b
⋅
d
b \cdot (c - d) = b \cdot c - b \cdot d
b
⋅
(
c
−
d
)
=
b
⋅
c
−
b
⋅
d
\newline
(D)
b
⋅
c
−
b
⋅
d
=
b
⋅
(
c
−
d
)
b \cdot c - b \cdot d = b \cdot (c - d)
b
⋅
c
−
b
⋅
d
=
b
⋅
(
c
−
d
)
Get tutor help
Which property of multiplication is shown?
\newline
0
⋅
b
=
0
0 \cdot b = 0
0
⋅
b
=
0
\newline
Choices:
\newline
(A) identity
\newline
(B) associative
\newline
(C) zero
\newline
(D) distributive
Get tutor help
Which property of addition is shown?
\newline
r
=
0
+
r
r = 0 + r
r
=
0
+
r
\newline
Choices:
\newline
(A)associative
\newline
(B)commutative
\newline
(C)identity
Get tutor help
Which equation shows the zero property of multiplication?
\newline
Choices:
\newline
(A)
d
⋅
f
=
g
+
h
d \cdot f = g + h
d
⋅
f
=
g
+
h
\newline
(B)
d
⋅
f
−
d
⋅
g
=
d
⋅
(
f
−
g
)
d \cdot f - d \cdot g = d \cdot (f - g)
d
⋅
f
−
d
⋅
g
=
d
⋅
(
f
−
g
)
\newline
(C)
(
d
⋅
f
)
⋅
g
=
d
⋅
(
f
⋅
g
)
(d \cdot f) \cdot g = d \cdot (f \cdot g)
(
d
⋅
f
)
⋅
g
=
d
⋅
(
f
⋅
g
)
\newline
(D)
0
⋅
d
=
0
0 \cdot d = 0
0
⋅
d
=
0
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Which property of multiplication is shown?
\newline
g
⋅
(
h
⋅
j
)
=
(
g
⋅
h
)
⋅
j
g \cdot (h \cdot j) = (g \cdot h) \cdot j
g
⋅
(
h
⋅
j
)
=
(
g
⋅
h
)
⋅
j
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Which property of multiplication is shown?
\newline
s
⋅
1
=
s
s \cdot 1 = s
s
⋅
1
=
s
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Which equation shows the associative property of multiplication?
\newline
Choices:
\newline
(A)
0
=
d
⋅
0
0 = d \cdot 0
0
=
d
⋅
0
\newline
(B)
d
⋅
f
⋅
g
=
h
d \cdot f \cdot g = h
d
⋅
f
⋅
g
=
h
\newline
(C)
g
+
h
=
d
⋅
f
g + h = d \cdot f
g
+
h
=
d
⋅
f
\newline
(D)
(
d
⋅
f
)
⋅
g
=
d
⋅
(
f
⋅
g
)
(d \cdot f) \cdot g = d \cdot (f \cdot g)
(
d
⋅
f
)
⋅
g
=
d
⋅
(
f
⋅
g
)
Get tutor help
Which property of addition is shown?
\newline
d
+
f
=
f
+
d
d + f = f + d
d
+
f
=
f
+
d
\newline
Choices:
\newline
(A) associative
\newline
(B) commutative
\newline
(C) identity
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Which property of multiplication is shown?
\newline
d
⋅
c
=
c
⋅
d
d \cdot c = c \cdot d
d
⋅
c
=
c
⋅
d
\newline
Choices:
\newline
(A)commutative
\newline
(B)zero
\newline
(C)associative
\newline
(D)identity
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Which property of addition is shown?
\newline
a
=
0
+
a
a = 0 + a
a
=
0
+
a
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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
Get tutor help
Which equation shows the distributive property of multiplication?
\newline
Choices:
\newline
(A)
j
⋅
0
=
0
j \cdot 0 = 0
j
⋅
0
=
0
\newline
(B)
(
j
⋅
k
)
⋅
m
=
j
⋅
(
k
⋅
m
)
(j \cdot k) \cdot m = j \cdot (k \cdot m)
(
j
⋅
k
)
⋅
m
=
j
⋅
(
k
⋅
m
)
\newline
(C)
m
=
j
⋅
k
m = j \cdot k
m
=
j
⋅
k
\newline
(D)
j
⋅
k
+
j
⋅
m
=
j
⋅
(
k
+
m
)
j \cdot k + j \cdot m = j \cdot (k + m)
j
⋅
k
+
j
⋅
m
=
j
⋅
(
k
+
m
)
Get tutor help
Which property of multiplication is shown?
\newline
k
⋅
(
m
+
n
)
=
k
⋅
m
+
k
⋅
n
k \cdot (m + n) = k \cdot m + k \cdot n
k
⋅
(
m
+
n
)
=
k
⋅
m
+
k
⋅
n
Get tutor help
Which property of multiplication is shown?
\newline
j
⋅
(
k
−
m
)
=
j
⋅
k
−
j
⋅
m
j \cdot (k - m) = j \cdot k - j \cdot m
j
⋅
(
k
−
m
)
=
j
⋅
k
−
j
⋅
m
\newline
Choices:
\newline
(A) commutative
\newline
(B) distributive
\newline
(C) identity
\newline
(D) associative
Get tutor help
Which property of addition is shown?
\newline
(
d
+
f
)
+
g
=
d
+
(
f
+
g
)
(d + f) + g = d + (f + g)
(
d
+
f
)
+
g
=
d
+
(
f
+
g
)
Get tutor help
Which property of multiplication is shown?
\newline
p
⋅
q
=
q
⋅
p
p \cdot q = q \cdot p
p
⋅
q
=
q
⋅
p
Get tutor help
Which property of multiplication is shown?
\newline
p
⋅
r
−
q
⋅
r
=
(
p
−
q
)
⋅
r
p \cdot r - q \cdot r = (p - q) \cdot r
p
⋅
r
−
q
⋅
r
=
(
p
−
q
)
⋅
r
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