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WorksheetsFoundations of Algebra
Total questions: 34
Worksheet time: 35mins
Name
Class
Date
1.
Which of the following is the picture below NOT a model of?
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a)
3+3
b)
3X2
c)
3+3+3
d)
2x3
2.
Consider the statement: "An odd number times an even number is always even"
Is this always true, sometimes true, or never true?
Is this always true, sometimes true, or never true?
a)
Always True
b)
Sometimes True
c)
Never True
3.
Which of the following is a possible justification for the statement: "An odd number times an even number is always even"
a)
3*2=6 and 3*3=9 Sometimes true
b)
When odd numbers are placed into even groups, there are always even pairs of numbers. Always true
4.
Translate from English to Math: "3 times the quantity x minus 7 equals 15
a)
3x-7=15
b)
3(x-7)
c)
3(x-7)=15
5.
In the expression below what is the variable?3n + 4= 24
a)
3
b)
4
c)
24
d)
n
6.
Substitute the value and solve:4(x-4) ; x = 7
a)
12
b)
13
c)
14
d)
15
7.
Rachel swims 3 laps every minute. Write an equation to show the relationship between number of laps (n) and time (t).
a)
3n = t
b)
3 + n = t
c)
3t = n
d)
3 + t = n
8.
Ryan gets paid $8 more than the number of bags he sells at the baseball game. Write an equation to represent the situation.
a)
8 + x = y
b)
8x = y
c)
x + 1= y
d)
x = y
9.
y - 12 = 10
a)
2
b)
10
c)
18
d)
22
10.
Use the distributive property to rewrite the expression:
(6-11c)(-3)
(6-11c)(-3)
a)
-18 - 11c
b)
-18 - 33c
c)
-18 + 33c
d)
-33c + 18
11.
Solve the equation:
-54 = -3y
-54 = -3y
a)
y = -18
b)
y = 18
c)
y = 162
d)
y = -162
12.
Solve the equation:
- 9 = t + 16
- 9 = t + 16
a)
t = 25
b)
t = 7
c)
t = -25
d)
t = -7
13.
4 + a = a + 4
a)
Additive inverse
b)
Additive identity
c)
Commutative Add
d)
Associative Add
14.
3a+18=3(a+6)
a)
Multiplicative Inverse
b)
Associative Mult
c)
Commutative Mult
d)
Distributive
15.
-8 + 8 = 0
a)
Additive Inverse
b)
Additive Identity
c)
Commutative Add
d)
Addition Property of Zero
16.
3 ⋅ x = x ⋅ 3
a)
Distributive
b)
Associative Mult
c)
Commutative Mult
d)
Multiplicative Inverse
17.
0 = 4b ⋅ 0
a)
Multiplicative Inverse
b)
Multiplicative Identity
c)
Commutative Mult
d)
Multiplicative Property of Zero
18.
4/3 ⋅ 3/4 = 1
a)
Multiplicative Identity
b)
Multiplicative Inverse
c)
Commutative Mult
d)
Additive Inverse
19.
3(4⋅x) = (3⋅4)x
a)
Associative Mult
b)
Commutative Mult
c)
Distributive
d)
Associative Add
20.
5 + 0 = 5
a)
Additive Identity
b)
Additive Inverse
c)
Additive Property of Zero
d)
Commutative Add
21.
8+(3+2)=(8+3)+2
a)
Commutative Mult
b)
Associative Mult
c)
Commutative Add
d)
Associative Add
22.
4(3⋅2) = 4(2⋅3)
a)
Associative Mult
b)
Commutative Mult
c)
Distributive
d)
Multiplicative Inverse
23.
3 ⋅ 1 = 3
a)
Additive Identity
b)
Additive Inverse
c)
Multiplicative Identity
d)
Multiplicative Inverse
24.
What is the perimeter?
a)
20
b)
5
c)
4
25.
What is the total area of the pink model?
a)
3
b)
4
c)
7
d)
12
26.
What is the inverse of multiplying by 8
a)
Dividing by 8
b)
Adding 8
c)
Subtracting 8
d)
Multiplying by 8
27.
What is the additive inverse of 9
a)
9
b)
1/9
c)
-9
28.
What is the additive inverse of 15
a)
-15
b)
15
c)
1/15
29.
What is the multiplicative inverse of 3/4
a)
4/3
b)
1/4
c)
3/4
30.
What is the multiplicative inverse of 2/3
a)
3/2
b)
2/3
c)
1/3
31.
Which letter matches the coordinate (4, -6)?
a)
G
b)
Z
c)
K
d)
None of the above
32.
What is the ordered pair for x?
a)
(-7, -7)
b)
(7, 7)
c)
(-7, 7)
d)
(7, -7)
33.
Which letter matches the coordinate (4, -6)?
a)
G
b)
Z
c)
K
d)
None of the above
34.
Where is point E located?
a)
( 2, 0 )
b)
( 2 , 2 )
c)
( 0 , 2 )
d)
( 0 , 0 )
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