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

6.7D Equivalent Expressions Answers

1 verified answers1 views
1
Free Preview

Vance used the associative property to find the equivalent expression of . His work is shown below. Did Vance apply the associative property correctly? Why or why not?

Question illustration
A
Yes, the terms with variables should be written first.
B
Yes, the terms can be regrouped and still be equivalent.
C
No, the order of the terms should have been changed.
D
No, the addition symbol was dropped in the second expression.
2
Free Preview

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.
3

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
4

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
5

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
6

Which expressions are equivalent when and ?

Question illustration
A
and
Option A
B
and
Option B
C
and
Option C
D
and
Option D
7

Which is the last operation performed when evaluating for ?

Question illustration
A
addition
B
multiplication
C
subtraction
D
applying the exponent
8

After substituting, what is the first operation performed when evaluating for ?

Question illustration
A
addition
B
multiplication
C
subtraction
D
division
9

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
10

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

Did you find these answers helpful?

More from this Course

Quiz
10 verified answers

Absolute Value

Quiz
10 verified answers

Using the Distributive Property

Quiz
10 verified answers

Expressions with Unknowns