Math 1 Unit 3 Review

Front

What is the equation representing the cost constraint for tickets to the aquarium?

Back

The equation is 11x + 6y = 200, where x is the number of adult tickets and y is the number of children's tickets.

Front

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

Back

You can determine the number of solutions by comparing the slopes and y-intercepts of the equations. If they have the same slope but different y-intercepts, there is no solution. If they have the same slope and y-intercept, there are infinite solutions. If they have different slopes, there is one solution.

Front

Back

Front

What is the meaning of slope in the context of a linear relationship?

Back

The slope indicates the rate of change of the dependent variable with respect to the independent variable.

Front

If the price of gasoline decreases from $4.60 to $4.20 over 20 days, what is the slope?

Back

The slope is -0.02, meaning the price of gas is decreasing by $0.02 each day.

Front

How can you set up a system of equations for a word problem involving two variables?

Back

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

Front

What is the total revenue generated from washing cars and trucks if the club charged $3 per car and $5 per truck?

Back

Total revenue is calculated as 3c + 5t, where c is the number of cars and t is the number of trucks.

Front

What does it mean if two equations are equivalent?

Back

It means they represent the same line on a graph and have an infinite number of solutions.

Front

How do you find the intersection point of two lines represented by equations?

Back

Set the equations equal to each other and solve for the variable to find the intersection point.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.