Front

What is a solution in the context of a system of equations?

Back

A solution is a set of values that satisfy all equations in the system simultaneously.

Front

How do you solve a system of equations by graphing?

Back

To solve by graphing, plot each equation on the same graph and identify the point(s) where they intersect.

Front

What does it mean if a system of equations has an infinite number of solutions?

Back

It means that the equations represent the same line, and every point on that line is a solution.

Front

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

Back

Define variables to represent the quantities of each type of coin.

Front

How do you set up a system of equations from a word problem?

Back

Translate the relationships and totals described in the problem into mathematical equations.

Front

What is the value of a nickel?

Back

A nickel is worth $0.05.

Front

What is the value of a quarter?

Back

A quarter is worth $0.25.

Front

If a boy has seven more nickels than quarters, how can this be expressed mathematically?

Back

Let q = number of quarters, then n = q + 7 (where n is the number of nickels).

Front

What is the total value equation for 7 nickels and 3 quarters?

Back

Total value = 0.05n + 0.25q.

Front

How do you find the cost of items from a system of equations?

Back

Use substitution or elimination methods to solve for the variables representing the costs.