Question

1. which of the following explains the expression (3 + 2) × 4? a) 3 more than 2 times 4 b) 4 times the sum of 2 and 3 c) the sum of 2 and 3 divided by 4 d) 4 more than the sum of 3 and 2 4) patrick uses 7 yards of wood board for every bookshelf he makes. if he makes “n” bookshelves, how many yards of wood does he use? a) n + 7 b) n - 7 c) n × 7 d) n ÷ 7 8) which expression shows “half as much as twelve times nine”? a) 12 × 9 × 2 b) 2 × (12 × 9) c) (12 × 9) ÷ 2 d) (12 × 9) ÷ 1/2 9) which statement compares the values of the expressions correctly? expression r: 6 × (3 + 9) expression s: 3 + 9 a) the value of s is 6 less than r. b) the value of s is 6 more than r. c) the value of r is 6 more than s. d) the value of r is 6 times more than s.

Explanation:

Step1: Analyze Question 3

The expression is $(3+2) \times 4$. First calculate the sum inside parentheses, then multiply by 4. This matches "4 times the sum of 2 and 3".

Step2: Analyze Question 4

Each bookshelf uses 7 yards. For $n$ bookshelves, total wood is $n \times 7$.

Step3: Analyze Question 8

"Half as much as twelve times nine" means $\frac{12 \times 9}{2}$, which is equivalent to $(12 \times 9) \div 2$.

Step4: Analyze Question 9

Calculate Expression S: $3+9=12$. Calculate Expression R: $6 \times (3+9)=6 \times 12=72$. $72$ is 6 times $12$, so R is 6 times more than S.

Answer:

1. B) 4 times the sum of 2 and 3
2. C) $n \times 7$
3. C) $(12 \times 9) \div 2$
4. D) The value of R is 6 times more than S.