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Worksheet: Simplifying Algebraic Expressions Using the Commutative and Associative Properties
Q3:
If , what is the value of ?
Q4:
Rewrite the expression using the associative property.
- A
- B
- C
- D
- E
Q5:
Liam knows that, when you multiply, you can change the order of the factors. So,
Does this work when we divide?
- Ano
- Byes
Q6:
.
- A1, 1
- B0, 9
- C1, 9
- D0, 0
Q7:
Use the properties of real numbers to simplify the expression to one without parentheses.
- A
- B
- C
- D
- E
Q8:
A rectangleβs dimensions are length units and length units. Express the perimeter in terms of and calculate the perimeter when .
- A length units, 44 length units
- B length units, 34 length units
- C length units, 26 length units
- D length units, 68 length units
Q9:
If , what is the value of ?
- A50
- B45
- C36
- D35
Q10:
If , what is the value of ?
Q11:
Chloe is skip counting to solve .
How else could she skip count to find ?
- A
- B
- C
- D
Which other equation would this solve?
- A
- B
- C
- D
Q12:
Simplify .
- A
- B
- C
- D
- E
Q13:
Simplify .
- A
- B
- C
- D
- E
Q14:
Jacob knows that, when you multiply, you can change the order of the factors. So,
Elizabeth says that this works when you divide, so
Is she correct?
- A no
- B yes
Q15:
The associative property tells us we can multiply three numbers in any order, and the commutative property tells us we can swap factors.
Write the missing expression: .
- A
- B
- C
- D
Find the answer: .
Q16:
Does the associative property apply to division?
- Ano
- Byes
Q17:
Compare the expressions. Pick the symbol that is missing.
- A>
- B<
- C=
Q18:
In a class, Victoria calculates and Liam calculates . Which property of addition tells us that their answers will be the same?
- Adistributive property
- Bcommutative property
- Cidentity property
- Dassociative property
Q19:
Which of the following illustrates the associative property of addition?
- A
- B
- C
- D
- E
Q20:
Which of the following is true concerning the expression ?
- A The simplified form of the expression is .
- B and 3 are like terms.
- C The simplified form of the expression is .
- D and are like terms.
- E The simplified form of the expression is .
Q21:
Which expression will have a different value to the others?
- A
- B
- C
- D
- E
Q22:
Translate the following verbal expression into an algebraic one, and then simplify it: Four sets of the sum of a number and eleven are added to three times the same number.
- A ,
- B ,
- C ,
- D ,
- E ,
Q23:
Find the missing number: .