1.4: Distribution and Factoring

Homework

#hw (math) (gr8) Section 1.4 all problems 2025-09-10

Multi-column

Lesson Content

The distributive property
factoring expressions
Factoring is just distributive process being run backwards. If you have $c = (a + b) * d$ , then factoring would be how you'd recover the values of $(a + b)$ and $d$ .

Worked examples

Guided Practice

There are 9 children in the Connor family. Their parents buy 99 goldfish and 72 angel fish. If each child receives the same total number of fish, then how many fish will each receive?
Jake has 5 cats and 7 dogs. Each cat and each dog has 4 legs.
- (a) How many legs total do the cats have?
- (b) How many legs total do the dogs have?
- (c) How many animals are there?
- (d) How many legs total do all the animals have?

Links

Algebra-1 course index

AoPS Alcumus

IXL algebra practice index

OpenSTAX Prealgebra-1 textbook