Unit 4 Grade 8 IM Review

Front

What does it mean if an equation has infinite solutions?

Back

It means that the equation is true for all values of the variable, often resulting from two identical equations.

Front

What does the graph of a system of equations look like when it has one solution?

Back

Two lines that intersect at one point.

Front

Solve the equation: 5x + 12 = 4x + 6

Back

x = -6

Front

What does it mean if an equation has no solution?

Back

It means that there is no value of the variable that can satisfy the equation, often resulting from contradictory equations.

Front

What does the graph of a system of equations look like when it has 0 solutions?

Back

Two parallel lines that never intersect.

Front

What is a system of equations?

Back

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

Front

What is the solution of a system of equations?

Back

The point(s) where the graphs of the equations intersect.

Front

What is the significance of parallel lines in a system of equations?

Back

They indicate that the system has no solutions.

Front

What is the significance of intersecting lines in a system of equations?

Back

They indicate that the system has one unique solution.

Front

What is the first step in solving the equation 4x - 6 = 4x + 3?

Back

Subtract 4x from both sides to simplify the equation.