Algebra Unit 1-4 Quiz: Linear Systems & Quadratics

A method to solve a system of equations by eliminating one variable by adding or subtracting the equations together.

A method to solve a system of equations by isolating one variable in one equation and substituting it into the other equation.

A set of two or more equations with the same variables.

A method to determine how many solutions a system of equations has by analyzing their slopes and y-intercepts.

Variables representing unknown quantities in a word problem.

An equation capturing the relationship between variables in a word problem.

Solving for the values of the unknown variables in a system of equations.

Representing relationships between quantities using two variables, one for each axis.

The highest point reached by the projectile, determined by the vertex of the parabolic path.

The initial vertical position of the projectile when time (t) is 0.

The time it takes for the projectile to hit the ground again, occurring when the height (y) is 0.

The time it takes for the projectile to reach a specific height, determined by solving the equation for the given height.

The time it takes for the projectile to change directions from going upward to downward.

A mathematical expression with two or more terms combined by addition or subtraction, where each term is a product of constants and one or more variables raised to non-negative integer exponents.

A polynomial with two terms, often in the form of a² - b².

A quadratic function with a graph that is symmetrical, shaped like a ‘U’ or an upside-down ‘U’.

The point where the parabola intersects the x-axis. This point represents the x-value where the function equals zero.

The highest or lowest point on the parabola, which also represents the maximum or minimum value of the function.

A form of a quadratic equation written as f(x) = a(x – h)² + k, where (h, k) represents the vertex of the parabola.

The slope of a line perpendicular to another line is the negative reciprocal of the original slope.

A line that cuts another line segment in half at a 90-degree angle.

The angle formed between a horizontal line and the line of sight to an object above the horizontal line.

The angle formed between a horizontal line and the line of sight to an object below the horizontal line.

The distance between the centers of two circles.

The area of a triangle can be calculated using Heron's formula: Area=√(s(s-a)(s-b)(s-c)) where s is the semi-perimeter (s=(a+b+c)/2) and a, b, and c are the side lengths.

The distance between two points on a coordinate plane can be calculated using the distance formula: Distance=√((x2-x1)²+(y2-y1)²) where (x1, y1) and (x2, y2) are the coordinates of the two points.