Important Concepts in Algebra

Match the sub-category with its description. Solve, graph, and model multiple types of expressions. Interpret and use many different kinds of equations, such as linear, polynomial, radical, and exponential relationships. Find solutions to systems of equations, even when represented by a simple matrix equation, and apply results to real-world contexts.

• Statistics & Probability

• Geometry

• Functions

• Algebra

• Number & Quantity

Which of the following is a key goal of the Pre-Algebra class?

• Learn advanced calculus

• Develop a strong understanding of basic math concepts

• Study ancient history

• Master foreign languages

Answer explanation

The key goal of a Pre-Algebra class is to develop a strong understanding of basic math concepts, which serves as a foundation for more advanced mathematics. The other options do not align with the focus of this course.

One of the most important concepts to remember in algebra when solving equations is __________________________________________,

which says “whatever you do to one side of the equation, you must do the same to the other.”

• Slope Intercept Form

• The Golden Rule of Algebra

• The Pythagorean Theorem

• The Quadratic Formula

When a number and variable are attached to each other in Algebra, the number part of the term that signifies multiplication is referred to as the _______________________.

• Constant

• Coefficient

• Cobblestone

• Conic Section

Graph the solution to the system. The first equation has been plotted for you.

y = -3x-3

y= 4x +4

What is the value of y in the solution to this system of equations? 3x - 5y = 22 y = -5x + 32

Mathematical Equivalence

ON

A(n)________________________ is a math problem that uses an equal sign.

• Term

• Constant

• Equation

• Expression

When you see an equation that uses addition, it can be un-done by using the _____________________________, subtraction. 

• Simplest Form

• The Golden Rule of Algebra

• Constant

• Inverse Operation

To _____________________ an algebraic expression you must complete every possible operation you can, and you must combine all Like Terms.

• Evaluate

• Answer

• Solve

• Finish

If two terms have the same variable, or both have no variable, they can be combined and are considered _________________________________.

• Inverse Operation

• Constant

• Coefficient

• Like Terms