Solving Word Problems with Linear Systems

Why are word problems generally more challenging than straightforward algebra problems?

• They are usually longer in length.

• They always involve multiple variables.

• They require understanding and extracting relevant information.

• They involve more complex calculations.

What is the first step in solving a word problem involving linear systems?

• Reading the problem and determining the main objective.

• Checking the solution for reasonableness.

• Writing a system of equations.

• Assigning variables to unknowns.

In a word problem involving linear systems, if you have three unknowns, how many equations do you need?

• One

• Four

• Two

• Three

In the ticket sales example, what do the variables X and Y represent?

• X is the total revenue from child tickets, Y is the total revenue from senior tickets.

• X is the number of senior tickets sold, Y is the number of child tickets sold.

• X is the price of each child ticket, Y is the price of each senior ticket.

• X is the number of tickets sold on the first day, Y is the number of tickets sold on the second day.

In the boat travel example, what does the variable X represent?

• The speed of the current.

• The distance traveled downstream.

• The speed of the boat in still water.

• The time taken to travel upstream.

How do you calculate the rate of speed when traveling downstream?

• Multiply the speed of the current by the speed of the boat in still water.

• Add the speed of the current to the speed of the boat in still water.

• Subtract the speed of the current from the speed of the boat in still water.

• Divide the speed of the boat in still water by the speed of the current.

In the investment example, what does the variable Z represent?

• The amount invested in the REIT.

• The total amount invested.

• The amount invested in the CD.

• The amount invested in the bond fund.

What is the simple interest formula used in the investment example?

• Interest = Principal + Rate + Time

• Interest = Principal * Rate * Time

• Interest = Principal - Rate - Time

• Interest = Principal / Rate / Time

How much was invested in the REIT in the investment example?

• $45,000

• $38,000

• $3,000

• $86,000

What was the total annual simple interest from the three investments in the investment example?

• $1,140

• $3,900

• $900

• $2,700