NEW
Font size
S
M
L
XL
WorksheetsProperties and Algebraic Expressions Practice
Total questions: 44
Worksheet time: 1hrs 10mins
Name
Class
Date
1.
Are these two expressions equivalent?
2 • (3 • 7) and (2 • 3) • 7
2 • (3 • 7) and (2 • 3) • 7
a)
Yes, because of the associative property
b)
Yes, because of the commutative property
c)
Yes, because of the distributive property
d)
No, these two expressions are not exquivalent
2.
Are these two expressions equivalent?
6 + 3 and 3 + 6
6 + 3 and 3 + 6
a)
Yes, because of the associative property
b)
Yes, because of the commutative property
c)
Yes, because of the associative property
d)
No, these two expressions are not equivalent
3.
Are these two expressions equivalent?
6 – (4 – 1) and (6 – 4) – 1
6 – (4 – 1) and (6 – 4) – 1
a)
Yes, because of the associative property
b)
Yes, because of the commutative property
c)
Yes, because of the distributive property
d)
No, these two expressions are not equivalent
4.
Which property is demonstrated here?
a + 0 = a
a + 0 = a
a)
Associative Property
b)
Commutative Property
c)
Identity Property
d)
Inverse Property
5.
Are these two expressions equivalent?
18 • 1 and 18
18 • 1 and 18
a)
Yes, because of the inverse property
b)
Yes, because of the commutative property
c)
Yes, because of the identity property
d)
No, these two expressions are not equivalent
6.
Which property of multiplication is shown?
(6+3) x 7 = 6 x 7 + 3 x 7
(6+3) x 7 = 6 x 7 + 3 x 7
a)
Commutative Property
b)
Identity Property
c)
Associative Property
d)
Distributive Property
7.
Which property of addition is used in the following?
(3 + 9) + 5 = 3 + (9 + 5)
(3 + 9) + 5 = 3 + (9 + 5)
a)
Distributive Property
b)
Identity Property
c)
Commutative Property
d)
Associative Property
8.
Which equation shows the Identity Property of Multiplication?
a)
a + a + a = 3 x a
b)
a x 1
c)
(a + b) + 8 = a + (8 + b)
d)
a(b + c) = ab + ac
9.
Which equation shows the Addition Property of Zero?
a)
(a + b) + 8 - a + (8 + b)
b)
a x 0 = 0
c)
a + 0 = a
d)
a(b + c) = ab + ac)
10.
Which is an example of Identity Property of Addition?
a)
(6 + 5) + 2=6 + (5 + 2)
b)
8 + 0 = 8
c)
3 + 6 = 6 + 3
d)
9 x 1 = 9
11.
This property tells us that when we change the order of numbers when we are adding, the answer does not change.
a)
Commutative Addition
b)
Commutative Multiplication
c)
Associative Addition
d)
Associative Multiplication
12.
This property tells us that you can move the parentheses when you are multiplying and the answer will not change.
a)
Associative Addition
b)
Associative Multiplication
c)
Commutative Addition
d)
Commutative Multiplication
13.
The multiplicative identity property is shown in which of the following?
a)
1 x 1/3 = 1/3
b)
1/3 x 3/1 = 1
c)
1/3 x 0 = 1/3
d)
1/3 x 0 = 0
14.
Which property is shown in the following number sentence? 1/9 x 9 = 1
a)
Multiplicative Inverse
b)
Multiplicative Identity
c)
Additive Identity
d)
Additive Inverse
15.
Eight added to a number y.
a)
y + 8
b)
y - 8
c)
8y
d)
8/y
16.
A number c divided into fourteen.
a)
c/14
b)
14c
c)
14/c
d)
c x 14
17.
Twice a number g.
a)
g2
b)
2g
c)
2/g
d)
2 + g
18.
Eighteen less than a number f.
a)
18 - f
b)
18f
c)
18 + f
d)
f - 18
19.
Four times the difference of a number k and sixteen.
a)
4 x (k - 16)
b)
4 x (16 - k)
c)
(4 x k) - 16
d)
4 x (k + 16)
20.
Find the sum of six and a number d, then multiply by ten.
a)
6 + (d x 10)
b)
(6 + d) x 10
21.
Five more than the quotient of twenty and a number h.
a)
5 + (20h)
b)
(20/h) - 5
c)
(20h) - 5
d)
5 + (20/h)
22.
The difference of nineteen and a number b, then divide by four.
a)
(19 + b) ÷ 4
b)
(19 - b) ÷ 4
c)
4 ÷ (19 - b)
d)
4 x (b - 19)
23.
(14 - 7) ÷ c
a)
14 less than the quotient of c and 7
b)
The difference of 14 and 7 divided by c
c)
c divided by 14, then take away 7
24.
v + 13
a)
13 more than a number v
b)
A number v more than 13
c)
The difference of a number v and 13
d)
13 less than a number v
25.
5s
a)
Make a 5 and s sandwich
b)
s divided by 5
c)
5 divided by s
d)
The product of a number s and 5
26.
18 - r
a)
r more than 18
b)
r less than 18
c)
r minus 18
27.
n/4
a)
The product of n and 4
b)
4 divided by n
c)
4 divided into n
28.
(6 + 8) x w
a)
The product of 8 and w plus 6
b)
w times the sum of 6 and 8
c)
w times the difference of 6 and 8
29.
(3a) - 20
a)
20 less than the product of a number a and 3
b)
3 times the difference of a number a and 20
c)
The quotient of 3 and a number a minus 20
30.
9 + (j ÷ 12)
a)
Nine added to the product and j and 12
b)
Nine more than the quotient of j and 12
c)
The difference of 9 and j, then divide by 12
31.
g divided by 9
a)
9g
b)
g-9
c)
g/9
d)
9/g
32.
Three times a number increased by nine
a)
3h-9
b)
3(h-9)
c)
3(h+9)
d)
3h+9
33.
The quotient of a number and 8
a)
8g
b)
8/g
c)
g+8
d)
g/8
34.
Three times the sum of 2 and e.
a)
3e+2
b)
3(e-2)
c)
3(e+2)
d)
2e+3
35.
The difference of h and 9 divided by 3.
a)
h-9/3
b)
(n-9)/3
c)
(9-h)/3
d)
9-h/3
36.
The product of 7 and j increased by 3.
a)
3+7j
b)
7j-3
c)
7(j+3)
d)
3j+7
37.
Six divided by the product of -7 and b.
a)
6/b-7
b)
6/-7b
c)
-7b/6
d)
b-7/6
38.
Five times Mike's age increased by 9
a)
5(x+9)
b)
9(5+x)
c)
9x+5
d)
5x+9
39.
Amount you have spent if you buy a shirt for $20 and jeans for x dollars
a)
20-x
b)
20+x
c)
x-20
d)
20x
40.
Sarah has s small spoons and 20 big spoons. Choose the expression that shows how many spoons Sarah has.
a)
20
b)
s + 20
c)
20 - s
d)
s - 20
41.
Write an expression for the sequence of operations described below:
add 3 to q, then multiply r by the result
a)
r(q + 3)
b)
q+ 3 * r
c)
3 + (q * r)
d)
(q + 3) + r
42.
Write an expression for the sequence of operations described below:
add 5 to w, then subtract 9 from the result
a)
(w + 5) - 9
b)
9 - (5 + w)
c)
w - 5 + 9
d)
w - 5 - 9
43.
Ted has 29 trading cards. Isaiah has t more trading cards than Ted. Choose the expression that shows how many trading cards Isaiah has.
a)
29 ÷ t
b)
29 + t
c)
t - 29
d)
29
44.
Henry picked 13 peaches. Collin picked p times as many peaches as Henry. Choose the expression that shows how many peaches Collin picked.
a)
13p
b)
p + 13
c)
13 + p
d)
13
Reset
