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 is the point(s) where the equations intersect.

Front

How do you solve a system of equations using substitution?

Back

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

Front

What is the elimination method in solving systems of equations?

Back

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

Front

Define 'consecutive integers'.

Back

Consecutive integers are integers that follow each other in order, such as 1, 2, 3, or -2, -1, 0.

Front

What is the formula for the sum of two numbers?

Back

The sum of two numbers, x and y, is expressed as x + y.

Front

How do you express the difference between two numbers?

Back

The difference between two numbers, x and y, is expressed as x - y.

Front

What is a word problem in mathematics?

Back

A word problem is a mathematical problem expressed in words, requiring interpretation and translation into mathematical expressions or equations.

Front

How do you set up an equation from a word problem?

Back

Identify the variables, translate the words into mathematical operations, and write an equation that represents the situation.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What does it mean for two numbers to be 'four times' another?

Back

If one number is four times another, it can be expressed as x = 4y, where x is the larger number and y is the smaller.