Alg.2 Midterm Review

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

How do you convert the equation x + 5y = 10 to slope-intercept form?

Back

To convert to slope-intercept form (y = mx + b), isolate y: 5y = -x + 10, then y = -\frac{1}{5}x + 2.

Front

What is the order of operations in mathematics?

Back

The order of operations is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right), often abbreviated as PEMDAS.

Front

What is the axis of symmetry for a quadratic function?

Back

The axis of symmetry for a quadratic function in the form f(x) = ax^2 + bx + c is given by the formula x = -\frac{b}{2a}.

Front

How do you find the x-intercepts of a quadratic equation?

Back

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

Front

What is the slope of a line given in the form 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

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How do you simplify the expression 8 + 5 ∙ 4 + (7 - 3)?

Back

First, calculate inside the parentheses: 7 - 3 = 4. Then, perform multiplication: 5 ∙ 4 = 20. Finally, add: 8 + 20 + 4 = 32.

Front

What is a parabola?

Back

A parabola is a U-shaped curve that represents the graph of a quadratic function.