Integer Operations and Factoring

This video tutorial covers rewriting quadratic expressions in factored form, focusing on sums and products of integers, handling negative constant terms, and factoring expressions using diagrams. It also explores expressions with mixed positive and negative terms and factors of 100 and -100. The tutorial concludes with writing expressions in factored form using examples.

What is the main focus of Algebra 1 Unit 7 Lesson 7?

• Solving linear equations

• Rewriting linear expressions

• Graphing quadratic functions

• Rewriting quadratic expressions in factored form

Which of the following pairs of integers has a product of -12?

• (2, 6)

• (3, -4)

• (4, 3)

• (-2, -6)

Which pair of integers has a positive sum?

• (-3, 4)

• (3, -4)

• (-2, 6)

• (1, -12)

What is the sum of the integers in the pair (2, -6)?

• 8

• -4

• 4

• -8

What is the result of combining x times 6 and 5 times x?

• x^2

• 30x

• 6x

• 11x

Which two numbers multiply to 30 and sum to 13?

• 10 and 3

• 5 and 6

• 15 and 2

• 12 and 3

What is the factored form of x^2 + 13x + 30?

• (x + 5)(x + 6)

• (x + 10)(x + 3)

• (x + 12)(x + 3)

• (x + 15)(x + 2)

What is the result of combining 12x and -3x?

• 9x

• 15x

• -9x

• 3x

What is the factored form of x^2 + 9x - 36?

• (x + 12)(x - 3)

• (x - 12)(x + 3)

• (x + 9)(x - 4)

• (x - 9)(x + 4)

Which pair of numbers multiplies to 100 and adds to 20?

• 50 and 2

• 25 and 4

• 20 and 5

• 10 and 10