Algebra 1 SOL - Practice Test

Front

What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities with the same variables. The solution is the region where the graphs of the inequalities overlap.

Front

How do you determine the region to shade for a system of inequalities?

Back

To determine the region to shade, graph each inequality on the same coordinate plane and shade the area that satisfies all inequalities.

Front

What is direct variation?

Back

Direct variation is a relationship between two variables where one variable is a constant multiple of the other, expressed as y = kx, where k is a non-zero constant.

Front

If a direct variation passes through (4, 2), what is the constant of variation (k)?

Back

k = y/x = 2/4 = 0.5. The equation is y = 0.5x.

Front

What are x- and y-intercepts?

Back

The x-intercept is the point where the graph crosses the x-axis (y=0), and the y-intercept is where it crosses the y-axis (x=0).

Front

How do you find the x-intercept of the equation 2x = 3y - 9?

Back

Set y = 0: 2x = -9, so x = -4.5. The x-intercept is (-4.5, 0).

Front

How do you find the y-intercept of the equation 2x = 3y - 9?

Back

Set x = 0: 0 = 3y - 9, so y = 3. The y-intercept is (0, 3).

Front

What is the formula for the area of a rectangle?

Back

Area = length × width.

Front

If the length of a rectangle is 25 feet longer than its width, how can this be expressed algebraically?

Back

If width is w, then length is w + 25.

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.