6th pd Algebraic Reasoning Fall Final

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you solve a system of equations?

Back

To solve a system of equations, you can use substitution, elimination, or graphing methods to find the values of the variables that satisfy both equations.

Front

What is the expanded form of (x + 3)²?

Back

The expanded form of (x + 3)² is x² + 6x + 9.

Front

How do you find the nth term of an arithmetic sequence?

Back

The nth term of an arithmetic sequence can be found using the formula: a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

What is the simplified form of (2w⁻²)⁴?

Back

The simplified form of (2w⁻²)⁴ is 16/w⁸.

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope of the line y = 2x + 3 is 2.

Front

What does it mean for a system of equations to have no solution?

Back

A system of equations has no solution when the lines represented by the equations are parallel and never intersect.

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is given by the formula: Area = 1/2 * base * height.

Front

How do you factor a quadratic expression like x² + 5x + 6?

Back

To factor x² + 5x + 6, look for two numbers that multiply to 6 and add to 5. The factored form is (x + 2)(x + 3).

Front

What is the difference between a linear equation and a quadratic equation?

Back

A linear equation has a degree of 1 and graphs as a straight line, while a quadratic equation has a degree of 2 and graphs as a parabola.