Standard Form Linear Equations Word Problems

Hudson is already 40 miles away from home on his drive back to college. He is driving 65 mi/h. Write an equation that models the total distance y after x hours.

• y = 40x + 65

• y = 65x + 40

• 40x + 65y = 105

• y - 40 = 65(x - 0)

When Phil started his new job, he owed the company $65 for his uniforms. He is earning $13 per hour. The cost of his uniforms is withheld from his earnings. Write an equation that models the total money he has y after x hours of work.

• y = 13x - 65

• y = 13x + 65

• 13x - 65y = -52

• y - 65 = 13(x - 1)

The population of a city increases by 4000 people each year. In 2025, the population is projected to be 450,000 people. What is an equation that gives the city's population y (in thousands of people) x years after 2010?

• y = 4x + 450

• y - 450 = 4(x - 15)

• y - 15 = 4(x - 450)

• y = 4x + 15

You have only nickels (x) and dimes (y) in your piggy bank. When you ran the coins through a change counter, it indicated you have 595 cents. Write an equation to represent this situation.

• 5x + 10y = 595

• 10x + 5y = 595

• .05x + .10y = 595

• y = 2x + 595

Elena went to a fast food restaurant. Four cheeseburgers and 2 large cokes cost a total of Php 118.00. Two large cokes cost Php 3.00 more than one cheeseburger. Let it be x for the cost of cheeseburger and y for the cost of a large coke. What mathematical equations can we get from the statement?

• a.

• b.

• c.

• d.

What is the formula for standard form?

• y=mx+b

• y-y₁=m(x-x₁)

• Ax+By=C

• rise÷run

Margo is taking a 160-point history test

that has a total of 50 questions. Some of the

questions are worth 6 points each, and the others

are worth 2 points each. Which system of linear

equations could be used to find, s, the correct

number of six-point questions, and t, the correct

number of two-point questions answered

correctly?

• s + 6 = 160

  6t + 2s = 50

• 6s = 2t

  s + t = 160

• 6s = 2t

  6s + 2t + 50 = 160

• s + t = 50

  6s + 2t = 160

Which of these represents standard form form?

• y - y1 = m(x-x1)

• Ax + By = C

• y = mx + b

Which of these represents the standard form of a linear equation?

• y - y₁ = m(x - x₁)

• Ax + By = C

• y = mx + b

Cheryl is planning to spend $75 on a Christmas gift for her father. He needs new socks and ties. A store has socks and ties on sale for $4 and $11, respectively. What form of a linear equation would best represent this situation?

• Standard Form

• Point-Slope Form

• Slope-Intercept Form

• None of the above