Algebra Semester Exam Review

Front

What does it mean for y to be directly proportional to x?

Back

It means that as x increases, y increases at a constant rate. The relationship can be expressed as y = kx, where k is a constant.

Front

If y = 35 when x = 140, what is the constant of proportionality (k)?

Back

k = y/x = 35/140 = 0.25.

Front

What is the value of y when x = 170, given y is directly proportional to x?

Back

y = kx = 0.25 * 170 = 42.5.

Front

How do you simplify the expression 5a + 2b - 3a + 4?

Back

Combine like terms: (5a - 3a) + 2b + 4 = 2a + 2b + 4.

Front

What is the factored form of k² + 7x + 10?

Back

(k + 2)(k + 5).

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x-values) for the function.

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for the function.

Front

In the context of a linear function, what does a graph represent?

Back

A graph represents the relationship between the input (x) and output (y) values.

Front

What does the inequality y > -1/5x - 1/2 represent graphically?

Back

It represents the area above the line y = -1/5x - 1/2.

Front

What does the inequality y ≤ -2x - 4 represent graphically?

Back

It represents the area below the line y = -2x - 4.