Unit 7 Intro - Algebra 2 Warm-up

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

Expand the expression: (a + b)(c + d)

Back

ac + ad + bc + bd

Front

What is the result of expanding (x + 5)(x + 3)?

Back

x^2 + 8x + 15

Front

How do you simplify the expression: 2(3x + 4) - 5?

Back

6x + 8 - 5 = 6x + 3

Front

What is the product of (2x + 3)(4x - 5)?

Back

8x^2 - 10x + 12x - 15 = 8x^2 + 2x - 15

Front

What does it mean to 'expand' an expression?

Back

To expand an expression means to multiply out the factors and simplify it into a polynomial.

Front

What is the result of expanding and simplifying 3(2z + 1) - 2(5 + z)?

Back

4z - 7

Front

What is the formula for the area of a rectangle?

Back

Area = length × width.

Front

What is the result of (2s + 9)(3s - 4)?

Back

6s^2 + 19s - 36

Front

What is the first step in multiplying two binomials?

Back

Use the distributive property to multiply each term in the first binomial by each term in the second binomial.