3B- 1st Semester Exam

Front

What does the absolute value symbol |x| represent?

Back

The absolute value of a number x represents its distance from zero on the number line, regardless of direction. For example, |2| = 2 and |-2| = 2.

Front

Solve the equation |2a + 10| = 6. What are the possible values of a?

Back

a = -8, a = -2.

Front

What is the first step to solve the equation 5x - 8 = 18?

Back

Add 8 to both sides to isolate the term with x.

Front

What does the 'E' in PEMDAS stand for?

Back

Exponent.

Front

What is the order of operations in mathematics?

Back

PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What is a linear inequality?

Back

A linear inequality is an inequality that involves a linear function. It can be expressed in the form ax + b < c, ax + b > c, ax + b ≤ c, or ax + b ≥ c.

Front

How do you graph the inequality y ≥ (3/2)x - 5?

Back

Graph the line y = (3/2)x - 5 as a solid line and shade above the line to represent all points where y is greater than or equal to (3/2)x - 5.

Front

What is the solution to the expression (13 - 1) + 4?

Back

The solution is 16, but the first operation performed is subtraction.

Front

What is the purpose of using parentheses in mathematical expressions?

Back

Parentheses indicate which operations should be performed first in an expression.

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 or less than another.