Answer: b. 6(x + 4)
Step-by-step explanation:
The given word phrase = the product 4 more than x and 6
where , 4 more than x is equivalent to 
Therefore the algebraic expression for the given word phase "the product 4 more than x and 6"
=

Hence b. is the right option.
The algebraic expression for the given word phase is 
4)
x + 5 < 14
Subtract 5 on both sides
x + 5 - 5 < 14 - 5
x < 14 - 5
x < 9
Answer is D.
5)
< (less than) and > (greater than) have empty circles because the number is not included.
For example, x > 5
5 is not a solution because we are looking for all x that is greater than 5.
≤ (less than or equal to) and ≥ (greater than or equal to) have a closed circle because the number is included.
For example, x ≤ 7
7 is a solution because we are looking for all x that is less than or equal to 7.
Answer is C.
6)
4(x-1) ≥ 8
Divide 4 on both sides
(x-1) ≥ 2
Add 1 on both sides
x ≥ 3
Answer is D.
Answer:
10x - 15
Step-by-step explanation:
let Emily's be x hrs
Abbey = 3x-5 hrs
Nathan = 2 * Abbey's time= 2(3x-5)
= 6x-10 hrs
Expression= x + 3x-5 + 6x-10 = 10x - 15 hrs
Therefore, 10x - 15 is the EXPRESSION THAT DENOTES THE TOTAL NUMBER OF HOURS SPENT FOR DOING HOMEWORK COLLECTIVELY.
7p+5p
When you combine like terms, you just add all the terms that have the same variable so you get:
12p