Algebra 1

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.

Front

How do you simplify the expression -3(x - 3) + 6(x + 1)?

Back

To simplify, distribute: -3x + 9 + 6x + 6 = 3x + 15.

Front

What is an inequality and how is it represented?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is less than, greater than, or equal to the other, represented using symbols like <, >, ≤, or ≥.

Front

What does the solution 0 < x < 3 represent?

Back

It represents the range of values for x that are greater than 0 and less than 3.

Front

How do you find the x-intercept of a linear 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 a linear equation?

Back

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

Front

What are the intercepts of the equation 3x - 2y = 6?

Back

The intercepts are (0, -3) for the y-intercept and (2, 0) for the x-intercept.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

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

Back

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

Front

How do you write an equation of a line parallel to y = -3x?

Back

To write a parallel line, keep the same slope (-3) and change the y-intercept. For example, y = -3x - 1.