Algebra EOC Review

What is the formula for the area of a triangle?

• Area = base * height

• Area = 1/2 * base * height

• Area = base + height

• Area = base - height

Given the recursive formula a_1=6 and a_n=5·a_{n-1}, what is the explicit formula for the geometric sequence?

• a_n=6·5^{n-1}

• a_n=6·5^n

• a_n=5·6^{n-1}

• a_n=30·5^{n-2}

Simplify the expression (2x + 8) - (5x - 1).

• -3x + 7

• -3x + 9

• -3x + 8

• -2x + 9

What does it mean to factor an expression?

• To express it as a product of its factors.

• To simplify the expression to its lowest terms.

• To combine like terms in the expression.

• To convert the expression into a decimal form.

What is the Pythagorean Theorem formula?

• a² + b² = c², where c is the hypotenuse.

• a² - b² = c², where c is the hypotenuse.

• a + b = c, where c is the hypotenuse.

• a² + b² = 2c², where c is the hypotenuse.

The Pythagorean Theorem ONLY works on which type of triangle?

• Acute triangle

• Obtuse triangle

• Right triangle

• Scalene triangle

What is the formula for the sum of the first n terms of an arithmetic series?

• S_n = n/2 * (a_1 + a_n)

• S_n = n * (a_1 + a_n)

• S_n = n/2 * (a_1 - a_n)

• S_n = (a_1 + a_n) / n

What is a geometric sequence?

• A sequence where each term is the sum of the previous two terms.

• A sequence where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

• A sequence where each term is the square of its position in the sequence.

• A sequence where each term is a prime number.

What is the difference of squares formula?

• a² - b² = (a - b)(a + b)

• a² + b² = (a + b)(a - b)

• a² - b² = (a + b)(a + b)

• a² + b² = (a + b)(a + b)

What is the discriminant in a quadratic equation?

• b² - 4ac, which determines the nature of the roots.

• a² + b² - c², used to find the area of a triangle.

• b² + 4ac, which gives the sum of the roots.

• 4ac - b², which indicates the maximum value of the function.