1st Semester Final Exam REVIEW 12-19-24

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

Simplify the expression: 5(x - 2) + 3x

Back

8x - 10

Front

What is a radical in mathematics?

Back

A radical is an expression that includes a root, such as a square root (√) or cube root (∛). For example, √4 = 2.

Front

Simplify the radical: √28

Back

2√7

Front

What does it mean for a number to be irrational?

Back

An irrational number cannot be expressed as a fraction of two integers. Its decimal representation is non-repeating and non-terminating.

Front

Identify an irrational number from the following: √8, 3/4, √(25/16), -1.325

Back

√8

Front

How do you solve a linear equation?

Back

To solve a linear equation, isolate the variable on one side of the equation using inverse operations.

Front

Solve for z in the equation: 3z - 5 = 16

Back

z = 7

Front

What is the formula for the slope of a line?

Back

The slope (m) of a line passing through two points (x1, y1) and (x2, y2) is given by m = (y2 - y1) / (x2 - x1).

Front

What is the slope of a line parallel to another line?

Back

Lines that are parallel have the same slope.