Linear Equations Applications Problems

The length of a rectangle is 5 m greater than the width. The perimeter is 150 m. Which equation represents how to find the length and the width?

• 2x + 5 = 150

• 4x + 5 = 150

• 4x + 10 = 150

• 2x + 10 = 150

The width of a rectangle is 12 cm less than the length. The perimeter is 156 cm. Which equation represents how to find the length and the width?

• 4x + 24 = 156

• 2x + 12 = 156

• 2x - 12 = 156

• 4x - 24 = 156

The length of a rectangle is 4 times the width. The perimeter is 60 cm. What equation represents how to find the length and width?

• 10x = 60

• 4x = 60

• 5x = 60

• 8x = 60

Which of the following is a real-world example of a system of equations?

• Finding the area of a rectangle

• Determining the cost of two items with different prices

• Solving for one unknown variable

• Calculating the exact speed of a car

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 is the cost of a large coke?

• Php 13.00

• Php 23.00

• Php 33.00

• Php 43.00

Anna buys pens for $2 and pencils for $5. She buys 7 items and spends $26. Which system of equations represents this?

A restaurant sells steak meals for $20 and chicken meals for $15. If 30 meals total $500, what system represents this?

100 tickets sold. Adult tickets are $10, and student tickets are $5. Total revenue is $700. What are the equations?

A gym sells memberships for $30 and $300. What is the first step to solve if 20 memberships sold for $3,600?

• Add the prices of the memberships

• Solve for monthly memberships

• Substitute values into the equations

• Set up equations for total memberships and cost

What is the purpose of using systems of equations in real-world problems?

• To find the slope of a line

• To graph equations in a digital environment

• To solve problems with multiple variables and constraints

• To find the y-intercept