Systems of Equations Word Problems

Front

What does the graph of a system of equations with infinitely many solutions look like?

Back

The same line.

Front

What equations represent the ticket sales problem for senior citizen and child tickets?

Back

3s + 1c = 38 and 3s + 2c = 52.

Front

What is the solution when both lines of a system of equations are graphed over each other?

Back

Infinitely Many Solutions.

Front

What system of equations represents the total rushing yards of two running backs where one rushed 4 times as many yards as the other?

Back

x + y = 1550 and y = 4x.

Front

What system of equations can be used to find the number of dimes and nickels if there are 80 coins totaling $6.60?

Back

d + n = 80 and 0.10d + 0.05n = 6.60.

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Front

What does it mean if two lines are parallel in a system of equations?

Back

There is no solution; the lines never intersect.

Front

What is the substitution method in solving systems of equations?

Back

Solving one equation for one variable and substituting that expression into the other equation.

Front

What is the elimination method in solving systems of equations?

Back

Adding or subtracting equations to eliminate one variable.

Front

What is a consistent system of equations?

Back

A system that has at least one solution.