Systems of Equations CW 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 on a graph.

Front

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

Back

A consistent system has at least one solution, meaning the equations intersect at one or more points.

Front

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

Back

An inconsistent system has no solutions, meaning the equations do not intersect at any point.

Front

What is the graphical representation of the inequality x < 2?

Back

The graph of x < 2 is a vertical line at x = 2, with a dashed line indicating that points on the line are not included, and shading to the left to show all values less than 2.

Front

How do you find the x-intercept of an equation?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

How do you find the y-intercept of an equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for one variable and then 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, making it easier to solve for the other variable.

Front

What is the cost of one notebook if 3 pens and 4 notebooks cost $13.25 and 2 pens and 6 notebooks cost $17.00?

Back

The cost of one notebook is $2.45.

Front

What is the value of g(-3) for g(x) = (x + 7)^2 + 2?

Back

g(-3) = 18.