EPCIUCNO1. Match each expression in the left column to its equivalent exprecolumn. Use the table in the right to write the letters that correthe numbers.off column to its equivalent expression in the right1. 7(12)2. 3(15)3. 3a +9A. 5(1 + 3a)B. 3(a + 3)C. 3(x + y + 2)4. 9a + 3D. 7(8 + 4)5. 5 + 15aE. 3(x + 2y + 3x)6. 10 + 5aF. 5(2 + a)7. 3x + 6y + 9zG. 3(3a + 1)8. 3x + 3y + 3zH. (2 + 1)(15)

Answer:1 ⇒ D2 ⇒ H3 ⇒ B 4 ⇒ G5 ⇒ A6 ⇒ F7 ⇒ E8 ⇒ CStep-by-step explanation:* Lets explain how to solve the problem- The left column has expressions and the right column has the   equivalent expressions- We must find the equivalent letter for each number1. # 7(12)∵ 12 can be a sum of two numbers∴ The equivalent expression to 7(12) is 7(8 + 4)∴ 1 ⇒ D2. # 3(15)∵ 3 can be a sum of two numbers∴ The equivalent expression to 3(15) is (2 + 1)(15)∴ 2 ⇒ H3.# 3a + 9∵ 3 and 9 have a common factor 3∵ 3a + 9 ⇒ divide them by 3∵ 3a ÷ 3 = a and 9 ÷ 3 = 3∴ 3a + 9 = 3(a + 3)∴ The equivalent expression to 3a + 9 is 3(a + 3)∴ 3 ⇒ B4.# 9a + 3∵ 9 and 3 have a common factor 3∵ 9a + 3 ⇒ divide them by 3∵ 9a ÷ 3 = 3a and 3 ÷ 3 = 1∴ 9a + 3 = 3(3a + 1)∴ The equivalent expression to 9a + 3 is 3(3a + 1)∴ 4 ⇒ G5.# 5 + 15a ∵ 5 and 15 have a common factor 5∵ 5 + 15a ⇒ divide them by 5∵ 5 ÷ 5 = 1 and 15a ÷ 5 = 3a∴ 5 + 15a = 5(1 + 3a)∴ The equivalent expression to 5 + 15a is 5(1 + 3a)∴ 5 ⇒ A6.# 10 + 5a∵ 10 and 5 have a common factor 5∵ 10 + 5a ⇒ divide them by 5∵ 10 ÷ 5 = 2 and 5a ÷ 5 = a∴ 10 + 5a = 5(2 + aa)∴ The equivalent expression to 10 + 5a is 5(2 + a)∴ 6 ⇒ F7.# 3x + 6y + 9z∵ The coefficient of x , y , z have a common factor 3∵ 3x ÷ 3 = x∵ 6y ÷ 3 = 2y∵ 9z ÷ 3 = 3z∴ 3x + 6y + 9z = 3(x + 2y + 3z)∴ The equivalent expression to 3x + 6y + 9z is 3(x + 2y + 3z)∴ 7 ⇒ E8.# 3x + 3y + 3z∵ The coefficient of x , y , z have a common factor 3∵ 3x ÷ 3 = x∵ 3y ÷ 3 = y∵ 3z ÷ 3 = z∴ 3x + 3y + 3z = 3(x + y + z)∴ The equivalent expression to 3x + 3y + 3z is 3(x + y + z)∴ 8 ⇒ C