HW Systems of Equations - Word Problems

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

How do you represent a word problem as a system of equations?

Back

Identify the variables, translate the relationships and conditions into equations, and ensure the equations reflect the problem's constraints.

Front

What does 'd' and 'n' represent in the coin problem?

Back

In the coin problem, 'd' represents the number of dimes and 'n' represents the number of nickels.

Front

What is the first equation for the coin problem involving dimes and nickels?

Back

The first equation is d + n = 80, representing the total number of coins.

Front

What is the second equation for the coin problem involving dimes and nickels?

Back

The second equation is 0.10d + 0.05n = 6.60, representing the total value of the coins.

Front

In the football problem, what do 'x' and 'y' represent?

Back

In the football problem, 'x' represents the yards rushed by one player, and 'y' represents the yards rushed by the other player.

Front

What is the first equation for the football problem?

Back

The first equation is x + y = 1550, representing the total yards rushed.

Front

What is the second equation for the football problem?

Back

The second equation is y = 4x, indicating that one player rushed four times as many yards as the other.

Front

What do 't' and 'm' represent in the restaurant problem?

Back

In the restaurant problem, 't' represents the cost of each taco, and 'm' represents the cost of each glass of milk.

Front

What is the first equation for the restaurant problem?

Back

The first equation is t + m = 2.10, representing the total cost of one taco and one glass of milk.