2021 Algebra 1 SOL Review Part 3 of 4

Front

What is the solution to the equation 2x + 3 = 8?

Back

x = 2

Front

Define a linear equation.

Back

A linear equation is an equation of the first degree, meaning it has no variables raised to a power greater than one.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

What is the solution to the equation y = -2x + 7 when x = 3?

Back

y = -2(3) + 7 = 1.

Front

What is the meaning of a negative slope in a linear equation?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship.

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

How do you convert the equation y = 3x + 4 to standard form?

Back

Rearranging gives -3x + y = 4 or 3x - y = -4.

Front

What is the solution to the equation 3x - 2 = 7?

Back

x = 3.