Systems of Equations and Spiral Review

Front

What does the graph of a system of equations with no solution look like?

Back

The graph consists of parallel lines.

Front

Which system of equations represents Nancy's grocery purchases?

Back

4x + 6y = 13 and 3x + 7y = 13.5

Front

Solve the system of equations using substitution: x + 2y = 5 and y = 3x - 1.

Back

(1, 2)

Front

What is the solution to the system of equations represented by the options: (1, -1), (-1, 1), (0, -2), (0, 1)?

Back

(1, -1)

Front

What inequality represents the cost of replacing an air conditioner?

Back

65 + 60 + 30h ≤ 425

Front

What is a system of equations?

Back

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

Front

What does it mean for a system of equations to be consistent?

Back

A consistent system has at least one solution.

Front

What does it mean for a system of equations to be inconsistent?

Back

An inconsistent system has no solutions.

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves 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

The elimination method involves adding or subtracting equations to eliminate one variable.