Page 65 - Math Course 2 (Book 1)
P. 65
The Distributive Property
Rewrite 4(y² + 8y + 2) using the Distributive Simplify 3(x³ + 2x² – 5x + 7).
Property. Then simplify.
A. 3x³ + 2x² – 5x + 7
4(y² + 8y + 2) = 4(y²)+ 4(8y) + 4(2) Distributive B. 4x³ + 5x² – 2x + 10
Property C. 3x³ + 6x² – 15x + 21
D. x3 + 2x² –5x +21
= 4y² + 32y + 8 Multiply.
Answer
Answer 4y2 + 32y + 8
Combine Like Terms
Combine Like Terms
Examples Simplify 14x – 9x.
A. 5x²
B. 23x
Simplify 17a + 21a.
C. 5
D. 5x
17a + 21a = (17 + 21)a Distributive
Property
Answer
= 38a Substitution
Answer 38a
2
Simplify 6n + 7n + 8n.
Simplify 12b2 – 8b2 + 6b.
A. 6n + 15n
2
12b² – 8b² + 6b = (12 – 8)b² + 6b Distributive B. 21n 2
2
Property C. 6n + 56n
D. 62n 2
= 4b² + 6b Substitution
Answer
Answer 4b² + 6b
Your Turn!
Algebraic Expressions
Simplify 6(x – 4).
A. 6x – 4
B. 6x – 24
C. x – 24
D. 6x + 2
Answer
57
