Answers SY2025-26 - 1205010 MJ Grade 6 Mathematics Sem 1 CREquivalent Expressions and the Distributive Property

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Collin is substituting and to determine if the two expressions are equivalent. Which statement is true?

Both expressions are equivalent to 11 when .

Both expressions are equivalent to 33 when .

Both expressions are equivalent to 23 when .

The expressions are not equivalent.

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Which expression is represented by the set of algebra tiles below?

x + 6

x minus 6

6 minus x

6 x minus 1

Which statements are true about the expression ? Check all that apply.

To simplify, distribute a to 8 and to 7.

8(a) can be rewritten as 8a.

can be rewritten as .

An equivalent expression is 15a.

An equivalent expression is

An equivalent expression is

Which expression is equivalent to when ?

2 (3)

5 (3)

2 (3) + 3

2 (3) + 6

Which situations can represent the expression ? Check all that apply.

Ramya’s grade increased by two points

the difference between Escher’s highest score and two

the number of chapters Wally read plus two more

two fewer than the maximum number of absences Ellie is allowed

two added to Allison’s age.

the sum of Mikel’s height and two

Cadence is substituting and to determine if the two expressions are equivalent. Which statement is true?

Both expressions are equivalent to 78 when .

Both expressions are equivalent to 81 when .

Both expressions are equivalent to 48 when .

The expressions are equivalent.

Noni is looking for the sum of a number, n, and 21.What is the sum Noni is looking for if ?

Answer not available

Nancy is checking to determine if the expressions and are equivalent. When , she correctly finds that both expressions have a value of 10. When , she correctly evaluates the first expression to find that .What is the value of the second expression when , and are the two expressions equivalent?

The value of the second expression is 8, so the expressions are not equivalent.

The value of the second expression is 14, so the expressions are equivalent.

The value of the second expression is 16, so the expressions are equivalent.

The value of the second expression is 18, so the expressions are not equivalent.

What is written in expanded form?

4 + 4 + 4 + 4 + 4 + 4

4 times 4 times 4 times 4 times 4 times 4

6 + 6 + 6 + 6

6 times 6 times 6 times 6

Which scenario could be represented by the algebraic expression ?

Ahmed wants to know how much money he would make after 12 hours of work.

Ahmed wants to know the height of a building if each floor is 12 feet high.

Ahmed wants to know how many half-inch pieces are in a foot.

Ahmed wants to know how many floors are in an office building when each floor is 12 feet high.

When evaluating for , the given value of 1 is substituted for what part of the expression?

the exponent

the constant

the variable

any numerical value

Chris is checking to determine if the expressions and are equivalent. When , he correctly finds that both expressions have a value of 8. 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?

The value of the second expression is 8, so the expressions are equivalent.

The value of the second expression is 10, so the expressions are equivalent.

The value of the second expression is 12, so the expressions are not equivalent.

The value of the second expression is 16, so the expressions are not equivalent.

What is the correct expanded form and value of ?

One-fifth + one-fifth + one-fifth + one-fifth = StartFraction 4 Over 5 EndFraction

One-fifth times one-fifth times one-fifth times one-fifth = StartFraction 1 Over 625 EndFraction

StartFraction 1 + 1 + 1 + 1 Over 5 times 4 EndFraction = StartFraction 4 Over 20 EndFraction

One-fifth times 4 = StartFraction 4 Over 5 EndFraction

What is the value of the expression ?

Answer not available

Denise is checking to determine if the expressions and are equivalent. When , she correctly found that both expressions have a value of 14. When , she correctly evaluated the first expression to find that .What is the value of the second expression when , and are the two expressions equivalent?

The value of the second expression is 2, so the expressions are equivalent.

The value of the second expression is 4, so the expressions are not equivalent.

The value of the second expression is 8, so the expressions are not equivalent.

The value of the second expression is 10, so the expressions are equivalent.

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