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Equations and Inequalities
Translating a sentence into a multi-step equation
anslate the sentence into an equation.
The sum of 8 times a number and 9 is 2 .
Use the variable
b for the unknown number.
Explanation
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2024 McGraw Hill LLC.
Desk 1

Translate the sentence into an equation. $\newline$ The sum of $8$ times a number and $9$ is $2$ . $\newline$ Use the variable $b$ for the unknown number.

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Evaluate two-variable equations: word problems

Full solution

Q. Translate the sentence into an equation.

\newline

The sum of

8

times a number and

9

is

2

.

\newline

Use the variable

b

for the unknown number.

Identify Total Tape Amount: Step $1$ : Identify the total amount of tape needed and the amount per roll. $\newline$ - Total tape needed = $8,000$ cm $\newline$ - Tape per roll = $2,000$ cm
Calculate Rolls Required: Step $2$ : Calculate the number of rolls required by dividing the total tape needed by the tape per roll. $\newline$ - Calculation: $8,000 \, \text{cm} \div 2,000 \, \text{cm} = 4$ rolls

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\newline

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\newline

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\newline

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\newline

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\newline

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Question

2 w+4

\newline

Carly is cutting a piece of paper stock based on the width of a photo. The expression above describes the length of the paper stock, in inches, for a photo that is

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Question

Calvin and Melvin are two of Santa's elves. The number of toys they build is given by

11 c+8 m

c

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\newline

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Question

The approval rating of a certain politician is changing at a rate of

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\newline

\int_{0}^{3} r(t) d t

\newline

1

\newline

(A) The rate of change of the approval rating of the politician when

t=3

\newline

(B) The average rate of change of the approval rating during the first three months

\newline

(C) The change in the percent of the population who approves of the politician during the first three months

\newline

(D) The percent of the population who approves of the politician when

t=3

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