8MA - First Semester Review (all)

Front

What is the total cost for 55 people to attend a private tour at the Georgia Aquarium if tickets cost $53 each and the tour guide costs $245?

Back

Total cost = (55 tickets * $53) + $245 = $3160.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution when there are no values for the variable that can satisfy the equation.

Front

How can you determine if a graph represents a function?

Back

A graph represents a function if every x-value has exactly one corresponding y-value (vertical line test).

Front

What is the solution to the equation 17 + 5(2x - 9) = 4 - 2x + 7?

Back

One solution.

Front

How do you calculate the expected points per game for a player who attempts 4.5 free throws per game using the model y = 4.413x + 0.377?

Back

Substitute x = 4.5 into the equation: y = 4.413(4.5) + 0.377 = 20.2.

Front

What is the cost of a single ticket to the Georgia Aquarium?

Back

$53.

Front

What is the fixed cost for a private tour guide at the Georgia Aquarium?

Back

$245.

Front

What does it mean if an equation has infinitely many solutions?

Back

An equation has infinitely many solutions when any value for the variable satisfies the equation.

Front

What is the definition of a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is the significance of the slope in the equation of a line, such as y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x.