AA 4(1-2) Application practice

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution to the system is the set of values that satisfy all equations simultaneously.

Front

How do you solve a system of equations using substitution?

Back

To solve a system of equations using substitution, solve one equation for one variable, then substitute that expression into the other equation to find the value of the second variable.

Front

What is the formula for calculating the total cost from unit prices and quantities?

Back

Total Cost = (Price per Unit) x (Quantity) for each item, summed for all items.

Front

How do you find the sum and difference of two numbers?

Back

The sum of two numbers is found by adding them together, while the difference is found by subtracting one number from the other.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

How can you represent a word problem as a mathematical equation?

Back

Identify the quantities involved, assign variables to them, and translate the relationships and operations described in the problem into an equation.

Front

What is the relationship between the coefficients and constants in a linear equation?

Back

Coefficients are the numerical factors in front of variables, while constants are the standalone numbers in the equation. They determine the slope and position of the line.

Front

How do you check if your solution to a system of equations is correct?

Back

Substitute the values of the variables back into the original equations to see if they satisfy all equations in the system.

Front

What is the significance of the total number of items sold in a word problem?

Back

The total number of items sold can help set up an equation that relates the quantities of different items, which is essential for solving the problem.

Front

How do you set up an equation for a problem involving two variables?

Back

Identify the two variables, write an equation based on the relationships given in the problem, and include any known totals or relationships.