Question

concepts and skills

1. (mp) use tools a komodo dragon can grow to be 120 inches long. one komodo dragon is 92 inches long. write and solve an equation to find the number of inches x the komodo dragon still needs to grow to be 120 inches long. state what strategy and tool you will use to answer the question, explain your choice, and then find the answer.
2. dakota has been assigned 80 math problems that are due in 5 days.

a. write an equation to determine how many problems she should do each day if she wants to do the same number each day. choose any letter for the variable and explain what it represents.
b. solve the equation. how many problems should dakota do each day?

Explanation:

Problem 5

Step1: Define the equation

Let \( x \) be the number of inches the Komodo dragon still needs to grow. The current length plus the growth needed equals the maximum length. So the equation is \( 92 + x = 120 \).

Step2: Solve for \( x \)

Subtract 92 from both sides of the equation: \( x = 120 - 92 \).

Step3: Calculate the result

\( 120 - 92 = 28 \).

Let \( d \) be the number of problems Dakota does each day. Since she has 5 days to complete 80 problems and does the same number each day, the total number of problems is the number of days times the number of problems per day. So the equation is \( 5d = 80 \). The variable \( d \) represents the number of math problems Dakota should do each day.

Step1: Start with the equation

We have the equation \( 5d = 80 \).

Step2: Solve for \( d \)

Divide both sides of the equation by 5: \( d=\frac{80}{5} \).

Step3: Calculate the result

\( \frac{80}{5}=16 \).

Answer:

The equation is \( 92 + x = 120 \), and the solution is \( x = 28 \). The strategy is using the addition - subtraction relationship in equations, and the tool is basic arithmetic operations. We choose this because we know the current length and the target length, so finding the difference (by rearranging the addition equation) gives the growth needed.

Problem 6 - Part A