Carnegie Systems Review

Front

What is a solution of a linear system?

Back

The point where the systems intersect.

Front

If a system of equations has no solution, what does the graph look like?

Back

Parallel lines.

Front

Write the linear inequality in standard form for this situation: The Math Pentathalon team hopes to make at least $240 by selling hot chocolate for $1 a glass and hot apple cider for $2 a glass.

Back

x + 2y ≥ 240.

Front

Which system of inequalities is shown: y > -x - 1 and y ≥ x + 4?

Back

y > -x - 1 and y ≥ x + 4.

Front

How much lotion is contained in the small bottle if two small bottles plus one regular bottle contain 15 ounces and one small bottle and two regular bottles contain 19.5 ounces?

Back

3.5 ounces.

Front

What does the slope of a line represent in a linear equation?

Back

The rate of change of the dependent variable with respect to the independent variable.

Front

What is the y-intercept in a linear equation?

Back

The value of y when x is 0.

Front

What are parallel lines?

Back

Lines that never intersect and have the same slope.

Front

What is the standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are integers.

Front

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

Back

It has at least one solution.