A2 Semester Review

Front

What is the y-coordinate of the solution to the system of equations x - 2y = 1 and x + 4y = 7?

Back

1

Front

Which system of linear inequalities is represented by the graph?

Back

y ≤ 2x - 1 and y > -2x + 3

Front

What system of inequalities represents the following graph?

Back

(Provide a specific graph for context)

Front

This system has an infinite number of solutions, TRUE or FALSE?

Back

FALSE

Front

A customer at a store paid $64 for 3 large candles and 4 small candles. A second customer paid $4 more than the first for 1 large candle and 8 small candles. What system of equations can be used to find the price of each large candle (x) and each small candle (y)?

Back

3x + 4y = 64 and x + 8y = 68

Front

What is a system of linear equations?

Back

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

Front

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

Back

The lines representing the equations are parallel and never intersect.

Front

What is the graphical representation of a linear inequality?

Back

A shaded region on one side of the line, indicating all solutions that satisfy the inequality.

Front

How do you determine if a point is a solution to a system of equations?

Back

Substitute the point's coordinates into each equation; if all equations are satisfied, it is a solution.

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.