Review - Fall Sem Final Exam '24

Front

Solve using elimination: 6x + y = 19 and 9x + 10y = -14. What is the solution?

Back

(4, -5)

Front

Use the function rule to find f(7). If f(x) = 9x + 4, what is f(7)?

Back

81

Front

Solve using substitution: x + 7y = 19 and x - y = -13. What is the solution?

Back

(-9, 4)

Front

What does the transformation f(x) --> f(x-5) do to the graph of f(x)?

Back

Translates it 5 units right.

Front

What kind of transformation converts the graph of f(x) = 3x + 9 into g(x) = 6x + 9?

Back

Horizontal shrink.

Front

What is the definition of a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The rate of change of y with respect to x; it indicates the steepness and direction of the line.

Front

What is the y-intercept of a linear equation?

Back

The point where the line crosses the y-axis (x=0).

Front

What is the difference between a vertical stretch and a vertical shrink?

Back

Vertical stretch increases the distance between points on the graph, while vertical shrink decreases it.