# math

10a) Simplify the expression and explain each step.
12 + 3(2y – 3)
Step 1: apply distributive property
Step 2: combine like terms
Step 3: simplify

b) Factor the expression completely.

18b – 12
What is the GCF of 18 and 12? Use ladder method or listing.

1. 👍
2. 👎
3. 👁
1. 12 + 3(2y – 3)

12 + 6y - 9

3 + 6y

I did the first one. Now you can do the second one.

1. 👍
2. 👎
👤
Ms. Sue
2. 1. a
2. c
3. b
4. d
5. a
6. d
7. d
8. c
9. d
10. For the first question, we first use the distributive property. It states that we multiply everything within parentheses by the term outside parentheses:4(3x+2)-2 = 4(3x)+4(2)-2 = 12x+8-2Combine like terms:12x+(8-2) = 12x+6For the second question, we first find the GCF. To do this, find the prime factorization of 20 and 16:20 = 4*54 = 2*220 = 2*2*516 = 4*44 = 2*216 = 2*2*2*2For the GCF, we take the common factors; these are 2*2 = 4. This makes 4 the GCF.Factoring 4 out of 20b, we have 5b; factoring 4 out of -16 gives us -4. This gives us 4(5b-4).

for connexus

1. 👍
2. 👎
3. # 2 is actually a. c +3

1. 👍
2. 👎
4. I remember doing this hard test a year ago XD hello everyone from the future and past! -p.s if yuh know dat name then... hi.

1. 👍
2. 👎
5. Actually the second question is A. And you should be careful, or you could get caught on here for cheating.

1. 👍
2. 👎
6. 18b - 12 =?

1. 👍
2. 👎

## Similar Questions

1. ### math

a)simplify the expression and explain each step 4(3x+2)-2 b)Factor the expression below 20b-16 help please

2. ### math

Algebra 1.) Use the distributive Property to simplify the expression . (-1)(4 - c) A. 4 - c B. -4 + c C. 4 + c D.-4 - c 2.)Use the distributive Property to simplify the expression 4(2x - 4) A.8x + 4 B.8x - 4 C.8x - 16 D.4x - 16

3. ### Math

6 + (5 + x) simplify the expression. Explain each step. How do I do this?

4. ### Math

April rewrote a quadratic function in vertex form. h(x)=5^2-30x+30 step 1 h(x)=5(x^2-6x+ )+30 step 2 h(x)=5(x^2-6x+9)+30-45 step 3 h(x)= 5(x-3)^2+15 In which step did they make a mistake? and how? Please help

1. ### Geometry

Solve 10a - 5b = 25 for b. f) b = 10a + 25 g) b = 10a - 25 h) b = 2a +5 i) b = 2a - 5 What exactly are they asking me to do here? Can I get at least one with a step by step, then I'll do the others? And, then you can check my

2. ### Mathematics

a) Simplify the expression and explain each step. 4(3x+2)−2 b) Factor the expression completely. 20b−16

3. ### math

Tom is showing his work in simplifying (5.2 – 8.5) – 0.5 + 6.8. In which step did Tom make an error? Step 1:: (5.2 – 8.5) – 0.5 + 6.8 Step 2: 5.2 + (–8.5 – 0.5) + 6.8 (distributive property) Step 3: 5.2 – 9 + 6.8

4. ### Math

Use multiplication, division, addition and subtraction and at least one set of parentheses to write an expression that simplifies to 7, 13, or 17. Do your work step by step and explain each step as you simplify the expression.

1. ### math

Consider the sequence of steps to solve the equation: 2(x − 4) + 6x = 9x − 10 Which step in solving this equation is justified by the Commutative Property of Addition? Given ⇒ 2(x − 4) + 6x = 9x − 10 Step 1 ⇒ 2x − 8

2. ### Help PLZ!!

consider the steps to simplify the expression. Which property is used to reach Step 3? Expression: -4 3 7 + 7 + (-3 4 7 ) Step 1: = -4 3 7 + (-3 4 7 ) + 7 Step 2: = -4 + (- 3 7 ) + (-3) + (- 4 7 ) + 7 Step 3: = -4 + (- 3 7 ) + (-

3. ### math

Consider the sequence of steps to solve the equation: 5(x - 3) = 7x 2 Step 1 ⇒ 10(x - 3) = 7x Step 2 ⇒ 10x - 30 = 7x Step 3 ⇒ 3x - 30 = 0 Step 4 ⇒ 3x = 30 Step 5 ⇒ x = 10 Identify the property of equality which yields

4. ### mathematics

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. a)Simplify the expression and explain each step 4(3x+2)-2 b)Factor the expression below 20b-16