2024 1st Semester Exam Review

Front

What inequalities represent the situation where Luka and Dana can bake 32 chocolate chip cookies in an hour (x) and 20 snickerdoodle cookies in an hour (y), with a maximum of 6 hours and a minimum of 150 cookies?

Back

x + y ≤ 6 32x + 20y ≥ 150

Front

Solve the equation |−4 + 5x| = 16. What are the possible values of x?

Back

{-12/5, 4}

Front

Given the system of equations: -2x + 2y + z = -9, 2x - 2y + 2z = 18, -2x + z = -5, find the solution (x, y, z).

Back

(4, -2, 3)

Front

Solve the system by elimination: 2x + y + 3z = 18, -2x − y + 2z = −18, 2x - y - 2z = 6. What is the solution?

Back

(6, 6, 0)

Front

In the equation y = |x - 4|, what does the -4 inside the absolute value indicate?

Back

Shift right 4 units

Front

What is the definition of an inequality?

Back

An inequality is a mathematical statement that compares two expressions, indicating that one is greater than, less than, or not equal to the other.

Front

What does the absolute value of a number represent?

Back

The absolute value of a number represents its distance from zero on the number line, regardless of direction.

Front

What is the purpose of the elimination method in solving systems of equations?

Back

The elimination method is used to eliminate one variable by adding or subtracting equations, making it easier to solve for the remaining variable.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables that are solved together.

Front

What does it mean for two lines to be parallel in a system of equations?

Back

Two lines are parallel if they have the same slope and never intersect, indicating that there is no solution to the system.