Algebra 1 Semester Review

Front

What is the value of f(-6) if f(x) = 2x^2 - x?

Back

f(-6) = 78.

Front

Simplify the expression: \(\sqrt{45} + 4\sqrt{20} - 2\sqrt{125}\)

Back

The simplified expression is \(\sqrt{5}\).

Front

What are the solutions of the equation \(\left|d + 2\right| = 10\)?

Back

The solutions are -12 and 8.

Front

Does the relation {(1,4), (3,2), (-3,-2), (1,2), (-2,-3)} represent a function?

Back

No, it does not represent a function because the input 1 has two different outputs.

Front

Simplify the sum: (−12n³ + 8n² + 5n^4) + (9n³ − 14n² + 6n^4)

Back

The simplified expression is 11n^4 - 3n³ - 6n².

Front

What is a function?

Back

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

Front

What is the quadratic formula?

Back

The quadratic formula is \(x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}\) for the equation ax^2 + bx + c = 0.

Front

What does it mean for an equation to be linear?

Back

An equation is linear if it can be written in the form y = mx + b, where m and b are constants.

Front

What is the difference between a rational and an irrational number?

Back

A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a simple fraction.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac.