algebra review

Front

What is a solution to a system of equations?

Back

A solution to a system of equations is a set of values for the variables that makes all the equations true simultaneously.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function f(x) at a specific point x = a, substitute a into the function and simplify.

Tags

CCSS.HSF.IF.A.2

Front

What is the quadratic formula?

Back

Tags

CCSS.HSA-REI.B.4B

Front

What does it mean to factor an expression?

Back

Factoring an expression means rewriting it as a product of its factors, which can help in solving equations.

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.

Front

How do you expand the expression (x + a)^2?

Back

To expand (x + a)^2, use the formula: (x + a)^2 = x^2 + 2ax + a^2.

Tags

CCSS.HSA.APR.C.5

Front

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

Back

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

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input from its domain.

Tags

CCSS.8.F.A.1

Front

How do you solve a quadratic equation by factoring?

Back

To solve a quadratic equation by factoring, express it in the form (x - p)(x - q) = 0, then set each factor to zero: x - p = 0 or x - q = 0.

Tags

CCSS.HSA-REI.B.4B

Front

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

Back

A linear function has a constant rate of change and is represented by a straight line, while a quadratic function has a variable rate of change and is represented by a parabola.