Fall 24 Algebraic Reasoning Final Exam Review Part 1/2

Front

Which ordered pair(s) is a solution to the given system? Options: (5,0), (1,-3), (3,3), (2,1)

Back

(5,0)

Front

Solve the following system: y = 2/3x - 2 and y = -x + 3. Options: (0,3), (0,-3), (3,0), (-3,0)

Back

(3,0)

Front

Which of the following is also known as x-intercept? Options: y-axis, x-axis, zeros, vertical line test

Back

zeros

Front

Solve the inequality: 30 + n ≥ 50. Options: n ≥ 50, x ≥ 80, n ≤ 30, n ≥ 20

Back

n ≥ 20

Front

How many solutions will this system have? Options: No solution, One Solution, I Don't Know, Infinitely Many Solutions

Back

No solution

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to locate a point on a coordinate plane, written in the form (x, y).

Front

Define 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 a system of equations to have no solution?

Back

It means that the equations represent parallel lines that never intersect.

Front

What is the x-intercept of a line?

Back

The x-intercept is the point where the line crosses the x-axis, where y = 0.

Front

How do you solve an inequality?

Back

To solve an inequality, isolate the variable on one side of the inequality sign, similar to solving an equation.