Lesson 1.1: Solving Equations Answers
Solve 2y – 3 = 4y + 6.y =
-4.5
Solve 0.25[2.5x + 1.5(x – 4)] = –x.x =
0.75
Solve .w=
-6/7
Which equation is a simplified version of the one above?
Choose the most logical value for the variable to represent.Let x = Kelli’s swimming speed upstreamKelli’s swimming speed downstream✔ Kelli’s swimming speed in still waterthe speed of the river.
Which expression represents the distance Kelli traveled upstream?
Which expression represents the distance Kelli traveled downstream?
Explain how you would define a variable for this problem.
I would let x represent the length of one of the equal sides of the triangle because the length of the third side is described in comparison to the length of the equal sides.
Which equation models the problem?
A student solves the problem to the left as shown. Which statements describe the solution? Check all of the boxes that apply.
The sum of three consecutive even integersis –78. What are the integers?Describe how you would use the strategy of writing an equation to solve the given problem.
To solve the problem, let x be the smallest even integer. The next two consecutive even integers would then be x + 2 and x + 4. Set up the equation x + (x + 2) + (x + 4) = –78. Simplify the equation to 3x + 6 = –78. Solve for x by subtracting 6 from both sides to get 3x = –84, and then dividing by 3 to find x = –28. The three consecutive even integers are –28, –26, and –24. You can check the answer by adding them together: –28 + (–26) + (–24) = –78.
Which of the following did you include in your description? Check all of the boxes that apply.
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