algebra 2.1 review

Front

What is an ordered pair in the context of solving equations?

Back

An ordered pair is a pair of numbers used to represent the coordinates of a point in a two-dimensional space, typically written as (x, y).

Front

How do you write a system of equations based on a real-world scenario?

Back

To write a system of equations, identify the variables representing the quantities of interest, then create equations that relate these variables based on the information given in the scenario.

Front

What does the slope-intercept form of a linear equation look like?

Back

The slope-intercept form is written as y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the solution to a system of equations graphically?

Back

To find the solution graphically, plot both equations on the same coordinate plane and identify the point where the two lines intersect.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is zero.

Front

How can you determine if a point is a solution to an inequality?

Back

To determine if a point is a solution to an inequality, substitute the x and y values of the point into the inequality and check if the statement is true.

Front

What is the difference between a plain and deluxe pizza slice in terms of cost?

Back

A plain pizza slice costs $2.75, while a deluxe pizza slice costs $4.75, making the deluxe slice $2.00 more expensive.

Front

How do you represent a real-world problem using a linear equation?

Back

Identify the quantities involved, assign variables to them, and formulate an equation that describes the relationship between these quantities.

Front

What does it mean for a point to satisfy an inequality?

Back

A point satisfies an inequality if its coordinates make the inequality true when substituted into the inequality.

Front

How do you solve a system of equations using substitution?

Back

To solve using substitution, solve one equation for one variable and then substitute that expression into the other equation.