Algebra 1 MCAP Review #1

Front

What is the order of operations in mathematics?

Back

The order of operations is a set of rules that determines the sequence in which calculations are performed. The acronym PEMDAS is often used: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What is a literal equation?

Back

A literal equation is an equation that contains two or more variables. It is often solved for one variable in terms of the others.

Front

How do you solve a system of inequalities graphically?

Back

To solve a system of inequalities graphically, graph each inequality on the same coordinate plane. The solution is the region where the shaded areas overlap.

Front

What is the expression for the total cost of a service with a monthly fee and an activation fee?

Back

The total cost can be expressed as C = 40m + 35, where C is the total cost, m is the number of months, 40 is the monthly fee, and 35 is the activation fee.

Front

What does it mean for a point to be a solution to a system of inequalities?

Back

A point is a solution to a system of inequalities if it satisfies all the inequalities in the system, meaning it lies in the overlapping shaded region when graphed.

Front

What is the solution to the expression (4 + 5) ÷ 3 x 6 - 6?

Back

The solution is 12.

Front

How do you isolate a variable in a literal equation?

Back

To isolate a variable, you perform inverse operations to get the variable on one side of the equation by itself.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater than, less than, or not equal to another.

Front

What is the significance of the activation fee in a cost expression?

Back

The activation fee is a one-time charge that is added to the total cost, affecting the initial payment but not the recurring monthly charges.

Front

What is the first step in solving a multi-step equation?

Back

The first step is to simplify both sides of the equation if possible, which may include combining like terms or distributing.