Ch 5 Flashcard Remediation

Front

What is a solution to a system of equations?

Back

A solution to a system of equations is a set of values for the variables that makes all equations true simultaneously.

Front

What does it mean to solve by elimination?

Back

Solving by elimination involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.

Front

What is the cost of nachos and sodas in David's concession stand problem?

Back

Nachos cost $1.50 each and sodas cost $0.50 each.

Front

How do you represent a word problem as a system of equations?

Back

Identify the variables, write equations based on the relationships described, and include any constraints given in the problem.

Front

What is the significance of the total revenue in a word problem?

Back

The total revenue represents the total amount of money made from sales, which can be used to form an equation.

Front

What does the equation y = -6x + 5 represent?

Back

This is the equation of a line in slope-intercept form, where -6 is the slope and 5 is the y-intercept.

Front

What does the term 'no solution' mean in a system of equations?

Back

'No solution' means that the equations represent parallel lines that never intersect, indicating there are no values that satisfy both equations.

Front

What is the purpose of using variables in equations?

Back

Variables represent unknown quantities that we aim to solve for in equations.

Front

What does it mean for two equations to be consistent?

Back

Two equations are consistent if they have at least one solution in common.

Front

What is the meaning of the term 'system of equations'?

Back

A system of equations is a set of two or more equations with the same variables.