Algebra Review 3

Front

What is the formula for the area of a rectangle?

Back

Area = length × width

Front

How do you simplify the expression (x^2 + 6x + 8)/(x^2 - x - 6)?

Back

Factor both the numerator and denominator, then cancel common factors.

Front

What is the area of a rectangle with length (x-5) and width (3x+1)?

Back

Area = (x-5)(3x+1) = 3x^2 - 14x - 5

Front

What is the result of multiplying (4x + 3)(2x - 1)?

Back

Result = 8x^2 + 2x - 3

Front

How do you order the numbers -3/7, 1/4, and 1/2 from least to greatest?

Back

Order: -3/7, 1/4, 1/2

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / 2a

Front

What does it mean to factor a polynomial?

Back

To express it as a product of its factors.

Front

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

Back

Rational numbers can be expressed as a fraction, while irrational numbers cannot.

Front

What is the distributive property?

Back

a(b + c) = ab + ac

Front

How do you solve for x in the equation 2x + 3 = 7?

Back

Subtract 3 from both sides, then divide by 2: x = 2.