Systems ACP Review

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

What does it mean for a system of equations to have no solution?

Back

A system of equations has no solution when the lines represented by the equations are parallel and never intersect.

Front

What does it mean for a system of equations to have one solution?

Back

A system of equations has one solution when the lines represented by the equations intersect at exactly one point.

Front

What does it mean for a system of equations to have infinitely many solutions?

Back

A system of equations has infinitely many solutions when the equations represent the same line, meaning they overlap completely.

Front

How do you solve a system of equations using substitution?

Back

To solve using substitution, solve one equation for one variable, then substitute that expression into the other equation.

Front

What is the value of a quarter in cents?

Back

A quarter is worth 25 cents.

Front

What is the value of a dime in cents?

Back

A dime is worth 10 cents.

Front

What is the value of a nickel in cents?

Back

A nickel is worth 5 cents.

Front

How do you represent absolute value in an equation?

Back

Absolute value is represented as |x|, which denotes the distance of x from 0 on the number line.

Front

What is the formula for calculating the total value of coins?

Back

Total value = (number of nickels * 0.05) + (number of dimes * 0.10) + (number of quarters * 0.25).