Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the set of values that satisfy all equations simultaneously.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean for a system to be consistent?

Back

A consistent system of equations has at least one solution. It can be either a unique solution or infinitely many solutions.

Tags

CCSS.8.EE.C.8B

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of degree 2, typically in the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

How do you solve a quadratic equation using factoring?

Back

To solve a quadratic equation by factoring, express it in the form (px + q)(rx + s) = 0, then set each factor to zero and solve for x.

Tags

CCSS.HSA-REI.B.4B

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the solutions of a quadratic equation.

Tags

CCSS.HSA-REI.B.4B

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is the expression b² - 4ac in the quadratic formula. It determines the nature of the roots: if positive, two real solutions; if zero, one real solution; if negative, no real solutions.

Tags

CCSS.HSA-REI.B.4B

Front

What is a linear equation?

Back

A linear equation is an equation of the first degree, which means it can be written in the form ax + b = 0, where a and b are constants.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

How do you graph a linear equation?

Back

To graph a linear equation, find two or more points that satisfy the equation and plot them on a coordinate plane, then draw a straight line through the points.

Front

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

Back

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

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does it mean for a system to be independent?

Back

An independent system of equations has exactly one solution, meaning the lines represented by the equations intersect at a single point.

Tags

CCSS.8.EE.C.8A