Writing Linear Equations

Question 1

Which equations represent the data in the table? Check all that apply.

Revolt · Accepted Answer

A: y – 6 = (x + 2); D: y – 1 = –(x – 2); E: y – 3.5 = –1.25x

Question 2

Jacob is training for a marathon. His plan is to run the same distance for 3 days a week, then increase that distance by the same amount each week of training. During week 6, Jacob runs 14 miles per day, which is 1.5 miles more per day than he ran during week 5. Which equation represents the daily running distance, in miles, as a function of time, t, in weeks?

Revolt · Accepted Answer

C: f(t) = 1.5t + 5

Question 3

Fill in the blanks to write an equation in slope-intercept form representing the function shown in the table.

Revolt · Accepted Answer

: 3; ⇒ 1: -3, 4

Question 4

A line is drawn through (–7, 11) and (8, –9). The equation y – 11 = (x + 7) is written to represent the line. Which equations also represent the line? Check all that apply.y = x + 3y = –4x + 404x + y = 214x + 3y = 5–4x + 3y = 17

Revolt · Accepted Answer

A: y = x +; D: 4x + 3y = 5

Question 5

Renata wins a $20 gift card to an online music site. After Renata purchases 16 songs, the gift card has a remaining balance of $0. Which equation represents the relationship between y, the remaining balance on Renata’s gift card, and x, the number of songs purchased?

Revolt · Accepted Answer

B: 5x + 4y = 80

Question 6

Ava wants to figure out the average speed she is driving. She starts checking her car’s clock at mile marker 0. It takes her 4 minutes to reach mile marker 3. When she reaches mile marker 6, she notes that 8 minutes total have passed since mile marker 0.

Revolt · Accepted Answer

B: ✔ 0.75

Question 7

n – 4 = 0.4(t – 3)✔ n – 6 = 0.75(t – 8)n + 3 = 1.33(t + 4)n + 8 = 2.5(t + 6)

Revolt · Accepted Answer

B: ✔ n – 6 = 0.75(t – 8)

Question 8

The table shows temperatures below freezing measured in different units. Complete the equation in standard form to represent the relationship between F, a temperature measured in degrees Fahrenheit, and C, a temperature measured in degrees Celsius.

Revolt · Accepted Answer

: 160; : 3.9

Question 9

The table shows temperatures below freezing measured in different units. Complete the equation in standard form to represent the relationship between F, a temperature measured in degrees Fahrenheit, and C, a temperature measured in degrees Celsius.

Revolt · Accepted Answer

⇒ -9: 9C; : 160; : 3.9

Question 10

Question 10

Revolt · Accepted Answer

160

Writing Linear Equations Answers

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