December 6th Extended LSAE

Front

Simplify the expression: (4a^3 - 8a - 4a^2) + (7a^3 - 7 - 6a)

Back

11a^3 - 4a^2 - 14a - 7

Front

Find the common difference in the sequence: -34, -29, -24, -19, ...

Back

d = 5

Front

Simplify the exponential expression: (2^3)(x^6)(y^12)

Back

8x^6y^12

Front

Multiply: x(2x + 3)

Back

2x^2 + 3x

Front

Simplify: (-4r^5)(2r^8)

Back

-8r^13

Front

Define a polynomial.

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents.

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

Explain the concept of a common difference in an arithmetic sequence.

Back

The common difference is the constant amount added to each term to get to the next term in an arithmetic sequence.

Front

What is the formula for the nth term of an arithmetic sequence?

Back

The nth term can be found using the formula: a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

What is the product of powers property?

Back

When multiplying two powers with the same base, add the exponents: a^m * a^n = a^(m+n).