Algebra 1 SOL Review #1

Front

What is the order of operations in algebra?

Back

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

Front

Solve for x: 5x + 3 = 18

Back

x = 3

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 point(s) where the equations intersect.

Front

What does it mean if a system of equations has no solution?

Back

It means that the lines represented by the equations are parallel and never intersect.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

It means that the equations represent the same line, and every point on that line is a solution.

Front

Solve the inequality: 2x - 5 < 3

Back

x < 4

Front

What is a solution to a system of inequalities?

Back

A solution to a system of inequalities is any point that satisfies all inequalities in the system.

Front

Solve for v: 8v - 4(v + 8) = 8

Back

v = 10

Front

What is the difference between a linear equation and a linear inequality?

Back

A linear equation represents a straight line and has an equal sign, while a linear inequality represents a region of the graph and uses inequality symbols (>, <, ≥, ≤).

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.