AnswersSY2025-26 - 1205010 MJ Grade 6 Mathematics Sem 1 CREquivalent Expressions

Equivalent Expressions Answers

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Which expressions are equivalent to ? Check all that apply.

Question illustration
A
g + (h + j) + k
Option A
B
(g + h) + j k
Option B
C
(g + h) + j + k
Option C
D
g + (h j) + k
Option D
E
g h + j k
Option E
F
g (h + j) k
Option F
G
g + h (j + k)
Option G
2
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Which best proves why the expressions and must be equivalent expressions?

Question illustration
A
When , both expressions have a value of 30.
Option A
B
When , both expressions have a value of 42.
Option B
C
When , both expressions have a value of 18, and when , both expressions have a value of 60.
Option C
D
When , both expressions have a value of 15, and when , both expressions have a value of 39.
Option D
3

A math class is having a discussion on how to determine if the expressions and are equivalent. The class has suggested four different methods.Which describes the correct method?

Question illustration
A
Both expressions should be evaluated by substituting one value for x. If the final values of the expressions are both positive after the substitution, then the two expressions must be equivalent.
B
Both expressions should be evaluated by substituting with one value for x. If the final values of the expressions are the same, then the two expressions must be equivalent.
C
Both expressions should be evaluated by substituting any two values for x. If for each substituted value, the final values of the expressions are positive, then the two expressions must be equivalent.
D
Both expressions should be evaluated by substituting any two values for x. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent.
4

Which expressions are equivalent to ? Check all that apply.

Question illustration
A
9 x + 6 + 9
Option A
B
8.9 + 6.2 + 8.7 x
Option B
C
8.9 x + 8.7 + 6.2
Option C
D
8.7 + 8.9 x + 6.2
Option D
E
6.2 + 8.7 + 8.9
Option E
F
6.2 + 8.7 + 8.9 x
Option F
G
8.9 + 6.2 x + 8.7
Option G
5

Randy is checking to determine if the expressions and are equivalent. When , he correctly finds that both expressions have a value of 20. When , he correctly evaluates the first expression to find that .What is the value of the second expression when , and are the two expressions equivalent?

Question illustration
A
The value of the second expression is 7, so the expressions are not equivalent.
B
The value of the second expression is 12, so the expressions are not equivalent.
C
The value of the second expression is 14, so the expressions are equivalent.
D
The value of the second expression is 20, so the expressions are equivalent.
6

Which expression is equivalent to ?

Question illustration
A
11 x
Option A
B
11 + x
Option B
C
11 minus x
Option C
D
Negative x + 11
Option D
7

Which expression is equivalent to ?

Question illustration
A
7 x + y
Option A
B
7 x minus y
Option B
C
x (7 y)
Option C
D
StartFraction x y Over 7 EndFraction
Option D
8

Which expression is equivalent to ?

Question illustration
A
p + q
Option A
B
p minus q
Option B
C
StartFraction p Over q EndFraction
Option C
D
q p
Option D
9

Maggie used the commutative property to write as the equivalent expression . Did Maggie apply the commutative property correctly? Why or why not?

Question illustration
A
Yes, the terms with variables should be written first.
B
Yes, there are the same number of terms.
C
No, some of the terms changed signs.
D
No, there should be two terms in parentheses.
10

Which is the last operation performed when evaluating for ?

Question illustration
A
addition
B
multiplication
C
subtraction
D
applying the exponent

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Equivalent Expressions Answers — SY2025-26 …