Linear Equation Word Problems

In a video game, you earn 5 points for each jewel you find. You earn 2 points for each star you find. You've earned 250 total points.

Which equation would represent the total amount of points earned, if x represents jewels and y represents stars?

• 5x+2y=250

• 5x-2y=250

• 2x+5y=250

• 250x+5y=2

The booster club made $708 on homecoming T-shirt sells. Small t-shirts cost $12 while large t-shirts cost $14. If x is small t-shirts and y is large t-shirts, what equation represents this.

• 12x + 14y = 708

• 14x + 12y = 708

• 708x + 14y = 12

• 12x + 708y = 14

Yandel is selling concert tickets for his friend's show. Regular tickets cost $35 and VIP tickets cost $50. Yandel's manager told him he needs to sell $1,000 worth of tickets. Which of the following equations could be used to represent the number of regular tickets, x, and VIP tickets, y, Yandel needs to sell to meet the goal?

• 35x - 50y = 1000

• 50x - 35y = 1000

• 50x + 35y = 1000

• 35x + 50y = 1000

At a school play, children’s tickets cost $3 each and adult tickets cost $7 each. The total amount of money earned from ticket sales equals $210. Write a linear model that relates the number of children’s tickets sold to the number of adult tickets sold. Let x = the number of children’s tickets sold and y = the number of adult tickets sold

• y=10x+210

• 7x+3y=210

• y=7x+210

• 3x+7y=210

Which of these represents standard form form?

• y - y1 = m(x-x1)

• Ax + By = C

• y = mx + b

What is the standard form of the equation of the line through (0, -3) with slope 2/5?

• -5x + 2y = 15

• -5x - 2y = -15

• 2x - 5y = 15

• -2x + 5y = 15

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

What is Standard Form of a line?

• y = mx + b

• Ax + By = C

• y − y₁ = m(x − x₁)

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

• y - y₁ = m(x - x₁)

• Ax + By = C

• y = mx + b