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A comprehensive guide to solving linear equations with variables on both sides. It covers a variety of examples, including equations with fractions, decimals, and word problems. The document walks through the step-by-step process of solving these equations, providing the correct answers and explanations. It also covers important concepts such as the subtraction property of equality and how to eliminate fractions or decimals before solving. This resource would be highly valuable for students studying algebra, mathematics, or related subjects, as it offers a structured approach to mastering this fundamental skill in problem-solving.
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Solve the equation. 8 - 2x = -8x + 14 - Answer: x = 1 Which number can each term of the equation be multiplied by to eliminate the fractions the fractions before solving? -3/4m -1/2 = 2 + 1/4m - Answer: 4
Which number can each term of the equation be multiplied by to eliminate the fractions before solving? 6 - 3/4x + 1/3 = 1/2x + 5 - Answer: 12 What is the solution to the linear equations? 2/3x - 1/2 = 1/3 + 5/6x - Answer: x = - Two runners are saving money to attend a marathon. The first runner has $112 in savings, received a $45 gift from a friend, and will save $ each month. The second runner has $50 in savings and will save $ each month. Which equation can be used to find m, the number of months it will take for both accounts to have the same amount of money? - Answer: 112 + 25m + 45 = 50 + 60m
Which equation can be used to find m, the number of months it will take for both accounts to have the same amount of money? - Answer: 250.5 - 35m = 300 - 45.25m What is the solution to the linear equation? 2/5 + p = 4/5 + 3/5p - Answer: p = 1 Which number can each term of the equation be multiplied by to eliminate the decimals before solving? -m + 0.02 + 2.1m = -1.45 _ 4.81m - Answer: 100 Which number can each term of the equation be multiplied by to eliminate the decimals before solving? 5.6j - 0.12 = 4 + 1.1j - Answer: 100 What is the solution to the linear equation? 4b + 6 = 2 - b + 4 - Answer: b = 0
The levels of mercury in two different bodies of water are rising. In one body of water the initial measure of mercury is 0.05 parts per billion (ppb) and is rising at a rate of 0.1 ppb each year. In the second body of water the initial measure is 0.12 ppb and the rate of increase is 0. ppb each year. Which equation can be used to find y, the year in which both bodies of water have the same amount of mercury? - Answer: 0.05 + 0.1y = 0.
