Last Algebra 1 EOC Review !!

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

Define slope in the context of a linear equation.

Back

Slope is a measure of the steepness of a line, represented by 'm' in the equation y = mx + b. It is calculated as the change in y divided by the change in x (rise/run).

Front

What is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis. In the equation y = mx + b, 'b' represents the y-intercept.

Front

How do you solve a system of equations using substitution?

Back

To solve a system of equations using substitution, solve one equation for one variable, then substitute that expression into the other equation to find the value of the second variable.

Front

What is the quadratic formula?

Back

The quadratic formula is used to find the solutions of a quadratic equation ax^2 + bx + c = 0. It is given by x = (-b ± √(b² - 4ac)) / (2a).

Front

Define a polynomial function.

Back

A polynomial function is a function that can be expressed in the form f(x) = a_nx^n + a_(n-1)x^(n-1) + ... + a_1x + a_0, where a_n, a_(n-1), ..., a_0 are constants and n is a non-negative integer.

Front

What is the difference between a rational number and an irrational number?

Back

A rational number can be expressed as a fraction of two integers (e.g., 1/2, 3), while an irrational number cannot be expressed as a simple fraction (e.g., √2, π).

Front

Explain the concept of a function.

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x), where x is the input and f(x) is the output.

Front

What is the vertex of a parabola?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards. It can be found using the formula (-b/(2a), f(-b/(2a))) for the quadratic equation ax^2 + bx + c.

Front

How do you factor a quadratic expression?

Back

To factor a quadratic expression of the form ax^2 + bx + c, find two numbers that multiply to ac and add to b, then rewrite the expression as (px + q)(rx + s).