Algebra 2 Semester 1 Exam Review (Part 2)

Front

Describe the transformation: compress by factor of 1/4, left 3, down 1

Back

This transformation involves reducing the height of the graph by a factor of 1/4, shifting it 3 units to the left, and moving it 1 unit down.

Front

What is the result of the expression: 7y(5y^2 + 2y + 3)?

Back

The result is 35y^3 + 14y^2 + 21y.

Front

Simplify the monomial: 16x^2y - 4xy^2 - 5x^2y + 10xy^2

Back

The simplified form is 11x^2y + 6xy^2.

Front

Simplify the expression: 3x^3(2x^2 + 9x + 6)

Back

The simplified expression is 6x^5 + 27x^4 + 18x^3.

Front

Factor the expression: a^2 - a - 12

Back

The factored form is (a - 4)(a + 3).

Front

What does it mean to stretch a graph vertically by a factor of k?

Back

Stretching a graph vertically by a factor of k means that every y-coordinate of the graph is multiplied by k, making the graph taller.

Front

What is the difference between compression and stretching in transformations?

Back

Compression reduces the size of the graph, while stretching increases it. Both can occur vertically or horizontally.

Front

How do you factor a quadratic expression of the form ax^2 + bx + c?

Back

To factor, find two numbers that multiply to ac and add to b, then rewrite the expression using these numbers.

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by multiple terms inside parentheses.

Front

What is the result of multiplying two binomials (x + a)(x + b)?

Back

The result is x^2 + (a + b)x + ab.