Algebra 1

Algebra 1

First, outer, last, inner (FOIL)

Multiple Choice

Multiply out the following , then simplify:

(3a + 4) (2a + 5)

• 6a + 9

• 6a² + 23a + 20

Explanation (for Multiplying and simplifying))

(3a + 4) (2a + 5)

First: (3a x 2a) + (3a x 5) + (4 x 2a) + (4 x 5)

Second: 6a² + 15a + 8a + 20

Answer: 6a² + 23a + 20

Multiple Choice

Multiply out the following then simplify:

(2y - 3) (5y + 7)

• 10y - 21

• 10y² - y - 21

Explanation (for Multiplying and simplifying)

(2y - 3) (5y + 7)

First: (2y x 5y) + (2y x 7) + (-3 x 5y) + (-3 + 7)

Second: 10y² + 14y + -15y + -21

Answer: 10y² - y - 21

For multiple brackets

Multiple Choice

5(3 - y)

• 25 - 3y

• 25 + 3y

• 15 - 5y

• 15 + 5y

Explanation: 5(3-y)

First: (5 x 3) - (5 x y)

Answer: 15 - 5y

Explanation: 2(2x + 3y - 7z)

First: (2 x 2x) + (2x x 3y) - (2 x 7z)

Answer: 4x + 6y - 14z