Algebra Mid Year Review Part 2

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

Which relation does not represent a function? (2, 3), (3, 4), (4, 5), (5, 6; (1, 2), (2, 2), (3, 2), (4, 2); (2, 1), (2, 2), (2, 3), (2, 4); (1, 1), (2, 2), (3, 3), (4, 4)

Back

(2, 1), (2, 2), (2, 3), (2, 4) because the input '2' is associated with multiple outputs.

Front

How do you find the slope of a line given two points?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

Write the equation of a line that passes through (5, 0) and (0, -2).

Back

Front

What is depreciation in financial terms?

Back

Depreciation is the reduction in the value of an asset over time, often due to wear and tear.

Front

If a car is bought for $18,500 and depreciates at 4% per year, what will its value be after 5 years?

Back

The approximate value will be $15,084.39.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables.

Front

How do you solve a system of equations graphically?

Back

You graph each equation on the same set of axes and find the point(s) where they intersect.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is less than, greater than, or not equal to the other.

Front

Which inequality is represented by the graph? y > 3x - 2, y < 3x - 2, y < 1/3x - 2, y > 1/3x - 2

Back

y < \frac{1}{3}x - 2.