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Study with the several resources on Docsity
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A comprehensive overview of solving linear equations using the distributive property. It includes a series of practice problems with certified answers, covering a wide range of scenarios and equation types. Designed to help students develop a strong understanding of the distributive property and its application in solving linear equations. The practice problems cover various levels of difficulty, allowing students to build their skills and confidence in solving these types of equations. Likely to be useful for university-level mathematics courses, particularly those focused on algebra and linear equations.
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Solve for x. 6(x - 1) = 9(x + 2) - Answer: x = - Kate begins solving the equation 2/3(6x - 3) = 1/2(6x - 4). Her work is correct and is shown below.
When she adds 2 to both sides, the equation 4x = 3x results. Which is the best interpretation of this equation? - Answer: The equation has one solution: x = 0. What is the value of x in the equatjon 2.5(6x - 4) = 10 + 4(1.5 + 0.5x)? - Answer: 2 Lily begins solving the equation 4(x - 1) - x = 3(x + 5) - 11. Her work is shown below. How can her partial solution be interpreted? - Answer: The equation has no solution. What us the value of n in the equation 1/2(n - 4) - 3 = 3 - (2n + 3)? n = - Answer: 2
What is the value of x in the equation 1.5(x + 4) - 3 = 4.5(x -2)? - Answer: 4 How many solutions exist for the given equations? 12x + 1 = 3(4x + 1) -2 - Answer: infinitely many Solve for x. 9(x + 1) = 25 + x - Answer: x = 2 Which equation has no solution? - Answer: 5 + 2(3 + 2x) = x + 3(x + 1) Solve for n. n + 1 = 4(n - 8) - Answer: n = 11 How many solutions exist for the given equation? 0.75(x + 40) = 0.35(x + 20) + 0.35(x + 20) - Answer: one
How many solutions exist for the given equation? 3(x - 2) = 22 - x - Answer: one
