Fall 24 Algebraic Reasoning Final Exam Review Part 1/2

Front

Does the sign need to flip when solving inequalities?

Back

Yes, the sign flips when multiplying or dividing by a negative number.

Front

What does it mean if a system of linear equations has one solution?

Back

It means the two lines intersect at one point.

Front

What is the equation representing the total sales of tickets for senior citizens and children?

Back

3s + 1c = 38 and 3s + 2c = 52.

Front

What is the solution to the system of equations: 2x + 3y = 6 and x - y = 1?

Back

(3, -2).

Front

What do parallel lines indicate in a system of linear equations?

Back

They indicate that there is no solution to the system.

Front

What is the solution to the system of equations: 4x + 2y = 10 and 2x + y = 5?

Back

(1, 3).

Front

What is the meaning of 'intersecting lines' in a system of equations?

Back

It means the system has exactly one solution.

Front

What happens to the inequality sign when both sides are multiplied by a negative number?

Back

The inequality sign flips.

Front

What is the graphical representation of a system with no solution?

Back

Two parallel lines.

Front

What is the solution to the system of equations: x + y = 5 and x - y = 1?

Back

(3, 2).