Question

7 multiple choice 1 point
part a: write an equation to represent the relationship:
four less than three times a number is the same as the number plus ten.
○ 3n - 4 = n + 10
○ 4 - n = n + 10
○ 4 - 3n = n + 10
○ 4 + 3n = n + 10
8 fill in the blank 1 point
part b: solve the equation from part a for n.
note: enter negatives when necessary with no space between the negative sign and the number.
n = type your answer...

Explanation:

Step1: Match words to equation

The phrase three times a number is $3n$, four less than this is $3n-4$, same as number plus ten is $n+10$. The matching equation is $3n-4 = n+10$.

Step2: Isolate $n$ terms

Subtract $n$ from both sides:
$3n - n -4 = n -n +10$
$2n -4 =10$

Step3: Isolate constant terms

Add 4 to both sides:
$2n -4 +4 =10 +4$
$2n=14$

Step4: Solve for $n$

Divide both sides by 2:
$\frac{2n}{2}=\frac{14}{2}$
$n=7$

Answer:

1. Correct equation: $\boldsymbol{3n -4 = n+10}$
2. $\boldsymbol{n=7}$