Algebra Bell Ringer Unit 4 Test Day

Front

What is a solution to a system of inequalities?

Back

A solution to a system of inequalities is a set of values that satisfies all inequalities in the system simultaneously.

Front

What method is best for solving the system of equations: x = -3y - 8 and x - 2y = -3?

Back

Substitution is the best method for solving this system.

Front

How do you determine if a point is a solution to a system of inequalities?

Back

Substitute the point into each inequality. If it satisfies all inequalities, it is a solution.

Front

What inequalities represent the situation: Kate sells bracelets (x) for $2 and earrings (y) for $3, needing to make at least $100 and can make up to 40 pieces?

Back

2x + 3y > 100 and x + y ≤ 40.

Front

What is the difference between a system of equations and a system of inequalities?

Back

A system of equations consists of equations that have equal signs, while a system of inequalities consists of inequalities that show a range of possible solutions.

Front

What does the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'.

Front

What is the graphical representation of a system of inequalities?

Back

The graphical representation consists of shaded regions that show all possible solutions that satisfy the inequalities.

Front

How can you check if a point lies within the solution set of a system of inequalities?

Back

Substitute the point into the inequalities; if it satisfies all, it lies within the solution set.

Front

What is the substitution method in solving systems of equations?

Back

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