Writing and Solving Equations in Two Variables

Question 1

Choose the correct answer.

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/EVresources/da809143665becbd86c288654a097414.png

Question 2

x – y = 11y – x = 23✔ x = 45 – yy = x – 45

Revolt · Accepted Answer

x = 45 – y; Selection 1: x = 45 – y; Selection 2: 16

Question 3

6✔ 162640

Revolt · Accepted Answer

16

Question 4

What is the value of x in the equation [image 1] , when [image 2] ?

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/EVresources/1c8454302336b8b2b625a64691e2a5bc.png

Question 5

An isosceles triangle has two sides of equal length, a, and a base, b. The perimeter of the triangle is 15.7 inches, so the equation to solve is 2a + b = 15.7.If we recall that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side, which lengths make sense for possible values of b? Select two options.–2 in.0 in.0.5 in.2 in.7.9 in.

Revolt · Accepted Answer

0.5 in.; 2 in.

Question 6

Shana wants to use all 62 feet of the fencing she has to make a rectangular run for her dog. She decides to make the length of the run 20 feet. She writes and solves the equation to find the width of the run.Which statements are true of the solution? Check all that apply.The value of w is 10 feet. The value of w can be zero.The value of w cannot be a negative number.Substitution is used to replace the variable l with a value of 20.The subtraction property of equality is used to isolate the term with the variable w.

Revolt · Accepted Answer

The value of w cannot be a negative number.; Substitution is used to replace the variable l with a value of 20.; The subtraction property of equality is used to isolate the term with the variable w.

Question 7

Question 16

Revolt · Accepted Answer

62512

Question 8

Which equation models the situation?

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/EVresources/ce183db486800ffabfc42371d9cb8c4b.png

Question 9

Wei has $150.00 to make a garland using 60-cent balloons. He wants to purchase 100 blue balloons and some number of white balloons. He learns that the white balloons are on sale for half price. He writes and solves an equation to find the number of white balloons he can purchase.Which models can be used to solve the problem?

Revolt · Accepted Answer

[image 1] ; [image 2]

Question 10

Maya spent her allowance on playing an arcade game a few times and riding the Ferris wheel more than once.Write about what additional information you would need to create a two-variable equation for the scenario. What kind of problem could you solve with your equation?

Revolt · Accepted Answer

To write a twovariable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.

Writing and Solving Equations in Two Variables Answers

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