6th pd Algebraic Reasoning Fall Final

Front

What is an inequality in algebra?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '≤' represent?

Back

The symbol '≤' means 'less than or equal to' in an inequality.

Front

How do you find the slope of a line given two points?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

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

Back

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

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

How do you simplify the expression (2w^{-2})^4?

Back

To simplify, apply the power of a power rule: (2^4)(w^{-2*4}) = 16/w^8.

Front

What is the equation of a line that passes through the points (2, 9) and (22, -1)?

Back

The equation is y = -1/2x + 10.

Front

What does the symbol '>' represent in an inequality?

Back

The symbol '>' means 'greater than' in an inequality.

Front

What is the process to solve for x in an equation?

Back

To solve for x, isolate x on one side of the equation using inverse operations.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater than or less than another.