Qtr 2 checkpoint review #1

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

What does it mean if a system of equations has no solution?

Back

It means that the lines represented by the equations are parallel and never intersect.

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for one variable and then substituting that expression into the other equation.

Front

How do you represent a linear inequality?

Back

A linear inequality is represented in the form of an inequality sign (>, <, ≥, ≤) instead of an equal sign in a linear equation.

Front

What is the meaning of the term 'solution' in the context of equations?

Back

A solution is a value or set of values that satisfy the equation, making it true.

Front

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

Back

It provides a constraint that helps in forming equations to solve for unknowns.

Front

How do you set up a system of inequalities from a word problem?

Back

Identify the constraints and conditions given in the problem, then express them as inequalities.

Front

What does it mean for a system of equations to have infinitely many solutions?

Back

It means that the equations represent the same line, and there are an infinite number of points that satisfy both equations.

Front

What is the value of a nickel and a quarter in cents?

Back

A nickel is worth 5 cents and a quarter is worth 25 cents.

Front

How do you determine the number of solutions for a system of equations graphically?

Back

By graphing the equations, you can see if they intersect (one solution), are parallel (no solution), or are the same line (infinitely many solutions).