Standard Form of a Line

Question 1

Austin determined that he has $13.50 in his piggy bank just in quarters and dimes. If q represents the number of quarters he has and d represents the number of dimes, which equation, written in standard form, represents this scenario?

Revolt · Accepted Answer

C: 5q + 2d = 270

Question 2

The standard form of the equation that represents the number of quarters, q, and the number of dimes, d, that Austin has in his piggy bank is 5q + 2d = 270. Explain what the intercepts mean in terms of the context and how to find them.

Revolt · Accepted Answer

To find the q-intercept, set d = 0 and solve: 5q = 270, so q = 54. This means Austin could have 54 quarters and 0 dimes. To find the d-intercept, set q = 0 and solve: 2d = 270, so d = 135. This means Austin could have 135 dimes and 0 quarters. The intercepts represent the maximum amount of one type of coin Austin could have if he has none of the other type.

Question 3

Which equations are in standard form? Check all that applyy = 2x + 52x + 3y = –6–4x + 3y = 12 y = x – 9x + 3 = 6x – y = 55x + 3y =

Revolt · Accepted Answer

B: 2x + 3y = –6; F: x – y = 5

Question 4

The standard form of a linear equation is Ax + By = C. If B = 0 and A and C are positive, which best describes the graph of this equation?

Revolt · Accepted Answer

A: The graph is a vertical line.

Question 5

What is the equation in standard form of the line shown on the graph?

Revolt · Accepted Answer

B: y = 4

Question 6

Julia wrote a linear equation in standard form as –6x – 3y = 10. Arthur noticed that the equation was not written in standard form and wants to tell Julia how to fix it. What advice should he give her?

Revolt · Accepted Answer

A: Multiply both sides of the equation by –1, so that the value for A is positive.

Question 7

Austin determined that he has $13.50 in his piggy bank just in quarters and dimes. If q represents the number of quarters he has and d represents the number of dimes, which equation, written in standard form, represents this scenario?

Revolt · Accepted Answer

C: 5q + 2d = 270

Question 8

What did you include in your response? Check all that apply.

Revolt · Accepted Answer

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Question 9

The drama club sold $779 worth of tickets to the school play. Student tickets cost $3 apiece and tickets for everyone else cost $5 each. What equation relates the number of student tickets that were sold, s, and the number of other tickets that were sold, t, written in standard form?

Revolt · Accepted Answer

⇒ 3: 71767; : 5; : 779

Question 10

Question 10

Revolt · Accepted Answer

5

Standard Form of a Line Answers

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