Writing and Solving Equations in Two Variables

Question 1

Choose the correct answer.

Revolt · Accepted Answer

B:

Question 2

What is the value of x in the equation , when ?

Revolt · Accepted Answer

D:

Question 3

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

C: 0.5 in.; D: 2 in.

Question 4

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

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

Question 5

Which equation models the situation?

Revolt · Accepted Answer

C:

Question 6

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

C: ;

Question 7

Hans is planting a garden with snapdragons and daisies. The table shows some possible combinations of the two plants. If Hans plants 29 daisies, how many snapdragons will he plant?

Revolt · Accepted Answer

The equationmodels the scenario.: x = 45 – y; Hans will plantsnapdragons.: 16

Question 8

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

Revolt · Accepted Answer

C: x = 45 – y

Question 9

6✔ 162640

Revolt · Accepted Answer

B: 16

Question 10

Question 10

Revolt · Accepted Answer

62512

Writing and Solving Equations in Two Variables Answers

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