Question

1. william described calculations as, \5 times the difference of 9 and 7 is increased by 3.\ how would you write this as a numerical expression?
2. which statement compares the values of the expression correctly?

expression j: 146 + 2,247
expression k: 5 × (146 + 2,247)
a) j is 5 times the value of k.
b) k is 5 times the value of j.
c) j is 5 more than the value of k.
d) k is 5 more than the value of j.
homeroom:

1. which expression correctly represents 20 - (48 ÷ 6)?

a) the product of 48 and 6 subtracted from 20
b) the quotient of 48 and 6 subtracted from 20
c) subtract 20 from the product of 48 and 6
d) subtract 20 from the quotient of 48 and 6

1. mrs. king has 38 paper clips in a drawer and 16 paper clips in a cup. mrs. king gathers all the paper clips and gives an equal amount to each of 6 groups. which expression show how many paper clips each group receives?

a) 38 ÷ (16 + 6)
b) (38 + 16) ÷ 6
c) 38 ÷ 16 + 6
d) 38 + 16 ÷ 6

Explanation:

Step1: Translate words to expression

First, find the difference of 9 and 7: $9-7$. Then increase this difference by 3: $(9-7)+3$. Finally multiply by 5: $5\times[(9-7)+3]$

Step2: Analyze Expression J and K

Expression J: $146+2,247$. Expression K: $5\times(146+2,247)=5\times J$. So K is 5 times J.

Step3: Interpret $20-(48\div6)$

First calculate the quotient of 48 and 6: $48\div6$. Then subtract this quotient from 20.

Step4: Calculate total paper clips

Total paper clips: $38+16$. Divide into 6 groups: $(38+16)\div6$

Answer:

1. $5\times[(9-7)+3]$
2. B) K is 5 times the value of J.
3. B) the quotient of 48 and 6 subtracted from 20
4. B) $(38 + 16) \div 6$