Becky tried to evaluate an expression step by step. {:[(4)/(5)+7-(5)/(4)],[=(4)/(5)-(5)/(4)+7quad" Step "1],[=0+7quad" Step "2],[=7quad" Step "3]:} Find Becky's first mistake. Choose 1 answer: (A) Commuting a negative term changes the value. (B) (4)/(5) minus (5)/(4) equals -(9)/(20), not 0 (c) 0 plus 7 equals 0 , not 7 .

Rearranging terms: Becky starts by rearranging the terms in the expression. [(4)/(5) + 7 - (5)/(4)] becomes [(4)/(5) - (5)/(4) + 7] This step involves the commutative property of addition, which allows us to rearrange the terms without changing the value of the expression.Combining fractions: Becky then attempts to combine the fractions (4/5) and (5/4). She states that (4/5) - (5/4) equals 0. This is incorrect because to combine fractions, we need a common denominator. The correct calculation should be finding the common denominator and then subtracting the fractions.

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Becky tried to evaluate an expression step by step.

{:[(4)/(5)+7-(5)/(4)],[=(4)/(5)-(5)/(4)+7quad" Step "1],[=0+7quad" Step "2],[=7quad" Step "3]:}
Find Becky's first mistake.
Choose 1 answer:
(A) Commuting a negative term changes the value.
(B)
(4)/(5) minus
(5)/(4) equals
-(9)/(20), not 0
(c) 0 plus 7 equals 0 , not 7 .

Becky tried to evaluate an expression step by step. $\newline$ $\begin{array}{l} \frac{4}{5}+7-\frac{5}{4} \\ =\frac{4}{5}-\frac{5}{4}+7 \quad \text { Step } 1 \\ =0+7 \quad \text { Step 2 } \\ =7 \quad \text { Step } 3 \\ \end{array}$ $\newline$ Find Becky's first mistake. $\newline$ Choose $1$ answer: $\newline$ (A) Commuting a negative term changes the value. $\newline$ (B) $\frac{4}{5}$ minus $\frac{5}{4}$ equals $-\frac{9}{20}$ , not $0$ $\newline$ (C) $0$ plus $7$ equals $0$ , not $7$ .

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Math Problems

Algebra 1

Solve a system of equations using any method: word problems

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Q. Becky tried to evaluate an expression step by step.

\newline

\begin{array}{l} \frac{4}{5}+7-\frac{5}{4} \\ =\frac{4}{5}-\frac{5}{4}+7 \quad \text { Step } 1 \\ =0+7 \quad \text { Step 2 } \\ =7 \quad \text { Step } 3 \\ \end{array}

\newline

Find Becky's first mistake.

\newline

Choose

1

answer:

\newline

(A) Commuting a negative term changes the value.

\newline

(B)

\frac{4}{5}

minus

\frac{5}{4}

equals

-\frac{9}{20}

, not

0

\newline

(C)

0

plus

7

equals

0

, not

7

Rearranging terms: Becky starts by rearranging the terms in the expression. $\newline$ [(\(4)/( $5$ ) + $7$ - ( $5$ )/( $4$ )\] becomes [(\(4)/( $5$ ) - ( $5$ )/( $4$ ) + $7$ \] $\newline$ This step involves the commutative property of addition, which allows us to rearrange the terms without changing the value of the expression.
Combining fractions: Becky then attempts to combine the fractions $(\frac{4}{5})$ and $(\frac{5}{4})$ . She states that $(\frac{4}{5}) - (\frac{5}{4})$ equals $0$ . This is incorrect because to combine fractions, we need a common denominator. The correct calculation should be finding the common denominator and then subtracting the fractions.