Algebra 1 Midterm Review

Front

What is the slope of a line in the equation y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x. It indicates how steep the line is.

Front

How do you find the slope from the equation 2y - 10x - 5 = 0?

Back

First, solve for y: 2y = 10x + 5, then y = 5x + 2. The slope is 5.

Front

What is the difference between two polynomials?

Back

To find the difference, subtract the second polynomial from the first, combining like terms.

Front

What is the result of (3 - 2x + 2x^2) - (4x - 5 + 3x^2)?

Back

The result is -x^2 - 6x + 8.

Front

What does it mean if a system of equations has no solution?

Back

It means the lines represented by the equations are parallel and never intersect.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

It means the lines represented by the equations are the same line, overlapping completely.

Front

How do you determine the number of solutions in a system of equations?

Back

By analyzing the slopes and y-intercepts of the lines represented by the equations.

Front

What is the equation of a line with a slope of 3 and a y-intercept of 9?

Back

The equation is y = 3x + 9.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.

Front

What is a polynomial?

Back

A polynomial is an expression consisting of variables raised to whole number powers and coefficients.