Question

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Explanation:

Step1: Fill first blank (define math sentence)

An equation is a mathematical sentence that may contain numbers and letters.

Step2: Fill second blank (opposite operations)

Adding and subtracting are inverse operations, as are multiplication and division.

Step3: Fill third blank (Addition Property)

The Addition Property of Equality states that you can add the same quantity to both sides of the equation without changing the value.

Step4: Fill fourth blank (Division Property)

The Division Property of Equality states that you can divide each side of the equation by the same number without changing the value.

Step5: Fill fifth blank (checking solutions)

To check the accuracy of a solution to an equation, substitute the solution in for the variable in the original equation and check if it is a true statement.

Step6: Match equations to descriptions

1. "$12 per hour for 4 hours a day for 5 days is equal to her weekly earnings." → $12(4)(5) = w$
2. "Celine's weekly earnings are $240." → $w = 240$
3. "Celine's weekly earnings of $240 multiplied by the number of weeks she works will total to $2400." → $240n = 2400$

Answer:

1. Completed paragraph:

An equation is a mathematical sentence that may contain numbers and letters. The letters are called variables. Adding and subtracting are inverse operations, as are multiplication and division. The Addition Property of Equality states that you can add the same quantity to both sides of the equation without changing the value. The Division Property of Equality states that you can divide each side of the equation by the same number without changing the value. To check the accuracy of a solution to an equation, substitute the solution in for the variable in the original equation and check if it is a true statement.

1. Equation matches:

• $12 per hour for 4 hours a day for 5 days is equal to her weekly earnings. → $12(4)(5) = w$
• Celine's weekly earnings are $240. → $w = 240$
• Celine's weekly earnings of $240 multiplied by the number of weeks she works will total to $2400. → $240n = 2400$