Algebraic Reasoning Fall Semester Exam Review

Front

Find the solution to the following system of equations: y = -x + 2 and y = -2

Back

(4,-2)

Front

Find the solution to the following system of equations: 2x - 9y = 14 and x = -6y + 7

Back

(7,0)

Front

What is the axis of symmetry of f(x) = x^2 + 6x + 8?

Back

x = -3

Front

Which expression is equivalent to x^2 - 17x - 60?

Back

(x − 20)(x + 3)

Front

Factor the following polynomial: 9x^6 - 63x^3 - 90x^2

Back

9x^2(x^4 - 7x -10)

Front

What is a system of equations?

Back

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

Front

What does it mean for two lines to intersect?

Back

They have one solution, which is the point where they cross.

Front

Define axis of symmetry in a parabola.

Back

A vertical line that divides the parabola into two mirror-image halves.

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / 2a.

Front

What is factoring in algebra?

Back

The process of breaking down an expression into simpler components that can be multiplied to get the original expression.