Create a word problem for an equation

This understanding involves interpreting an equation as a relationship among known quantities and an unknown, then constructing a realistic situation whose quantities, operations, units, and equality match that relationship. The problem identifies what the variable represents and distinguishes additive, multiplicative, and division relationships, including situations involving whole numbers, fractions, or decimals; the resulting solution must make sense in context. The scope is one-variable linear equations, not systems, quadratic equations, or generalized algebraic modeling.

Detailed Explanation: Create a word problem for an equation

To create a word problem for an equation, turn each part of the equation into a quantity or action in a realistic situation.

Use the equation:

3x+2=17

Step 1: Decide what the variable represents

Let $x$ represent the cost of one pack of markers, in dollars.

Step 2: Interpret each part

$3x$ means the cost of 3 identical packs.
$+2$ means an additional $2 delivery fee.
$=17$ means the total cost is $17.

Step 3: Write the word problem

A school buys 3 identical packs of markers. There is also a $2 delivery fee. The total cost is$ 17. How much does one pack of markers cost?

This matches the equation because:

3x+2=17

Step 4: Solve and check the situation

Subtract $2$ from both sides:

3x=15

Divide both sides by $3$ :

x=5

One pack costs 5$.

Check:

3(5)+2=15+2=17

The answer makes sense because 3 packs at $5 each cost$ 15, and the $2 delivery fee makes the total$ 17.

Learn by doing: Create a word problem for an equation

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Algebra Meals - 3 Meals, 2 Items (Multiple, Simple Substitution, Simple Answer), to Equation

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