Equations in One Variable Answers

The height of a triangle is 5 more than double the base length. If the height of the triangle is 74 mm, what is the base length of the triangle?

Choose the property that justifies each step of the solution.

addition property of equalitymultiplication property of equalityadditive identity✔ additive inversesmultiplicative inverses

addition property of equalitymultiplication property of equality✔ additive identityadditive inversesmultiplicative inverses

addition property of equality✔ multiplication property of equalityadditive identityadditive inversesmultiplicative inverses

What is the solution set of –|–x| = –12?

Which equation can be used to determine the number of passenger stops, p, Mr. Martin had on Tuesday?

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For which equations is x = 9 a possible solution? Check all that apply.|x| = 9–|x| = 9–|–x| = 9–|–x| = –9|x| = –9|–x| = 9|–x| = –9

Avni designs a game in which a player either wins or loses 4 points during each turn. Which equation represents all numbers of points, p, a player may have after his or her first turn of the game?

The height of a triangle is 5 more than double the base length. If the height of the triangle is 74 mm, what is the base length of the triangle?

✔ 34.539.5143153

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Determine the flaws in the solution.

Jen solved the equation 100 minus one-half x equals 92 to determine the number of questions, x, she answered incorrectly on a test. She began by subtracting 100 from both sides, then multiplying both sides by –2. Which best describes the accuracy of Jen’s work?