Unit 4 Test

Front

What is the maximum number of rose and lily plants Jasmine can buy with a budget of $50 if rose plants cost $5 and lily plants cost $2?

Back

Jasmine can buy combinations of rose and lily plants without exceeding her budget. For example, she can buy 5 rose plants and 15 lily plants.

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.

Front

If Samantha has a total of 20 dimes and quarters worth $3.35, what system of inequalities can represent this scenario?

Back

Let d = number of dimes and q = number of quarters. The system of inequalities is: d + q ≤ 20 and 0.10d + 0.25q = 3.35.

Front

What is the substitution method in solving equations?

Back

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

Front

What is the first step in using the elimination method to solve the system 3x + 2y = 8 and 5x + 4y = 10?

Back

Multiply the top equation by -2 to eliminate y.

Front

What does it mean for a point to be a solution to a system of inequalities?

Back

A point is a solution if it satisfies all inequalities in the system, meaning it lies in the feasible region.

Front

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

Back

Substitute the point's coordinates into each inequality. If all inequalities are satisfied, the point is a solution.

Front

What is the significance of the budget constraint in a word problem?

Back

The budget constraint limits the combinations of items that can be purchased based on available funds.

Front

What is the role of coefficients in a linear equation?

Back

Coefficients represent the rate of change of the dependent variable with respect to the independent variable.