Alg. 1 Review

Front

Find the common ratio of the sequence: 64, -16, 4, -1, ...

Back

The common ratio (r) is -1/4.

Front

Factor the expression: 5n² - 6n - 27

Back

(5n + 9)(n - 3)

Front

Use the quadratic formula to find the solutions for y = -x² - 5x + 12.

Back

The solutions are x = 2 and x = -6.

Front

Find the product of (2x + 3)(2x - 3)

Back

The product is 4x² - 9.

Front

Write an equation that models the following situation: Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

Back

y = 6(1.14)ⁿ.

Front

What is the definition of a common ratio in a geometric sequence?

Back

The common ratio is the factor by which each term in a geometric sequence is multiplied to get the next term.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a).

Front

What is the difference of squares formula?

Back

The difference of squares formula states that a² - b² = (a + b)(a - b).

Front

How do you factor a quadratic expression of the form ax² + bx + c?

Back

Look for two numbers that multiply to ac and add to b, then rewrite the expression.

Front

What is exponential growth?

Back

Exponential growth occurs when a quantity increases by a fixed percentage over a period of time.