Algebra I Semester Exam

Front

What is the standard form of a polynomial?

Back

A polynomial is in standard form when its terms are arranged in descending order of their degree.

Front

How do you simplify the expression (−5x + 4) − (3x^2 − 7x + 4)?

Back

Combine like terms: -5x + 4 - 3x^2 + 7x - 4 = -3x^2 + 2x.

Front

What does the inequality x^2 - 4x + 3 > 0 represent graphically?

Back

It represents the regions where the quadratic function is above the x-axis, specifically x < 1 or x > 3.

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the expression.

Front

How do you determine the equation of a line from a graph?

Back

Identify two points on the line, calculate the slope, and use the point-slope form to write the equation.

Front

What is the area of a rectangle?

Back

Area = length × width.

Front

How do you find the area of a framed portrait if the height is 1.5 times the width?

Back

Area = (width + frame width) × (height + frame height) = (w + 3) × (1.5w + 3).

Front

What is the difference between 'and' and 'or' in inequalities?

Back

'And' means both conditions must be true, while 'or' means at least one condition must be true.

Front

What is a quadratic inequality?

Back

A quadratic inequality is an inequality that involves a quadratic expression, such as x^2 - 4x + 3 > 0.