Question

1. which of these expression(s) represents the sum of 4 and ( t )? select all that apply.

① ( 4 + t )
② ( t + t + t + t )
③ ( t^4 )
④ ( 4t )
⑤ ( 2 + 2 + t )
6.af.15 dok 2

1. which two expressions are equivalent to ( 48 + 56 )?

① ( 6 + 7 )
② ( 8(6 + 7) )
③ ( 7(6 + 6) )
④ ( 4(12 + 14) )
⑤ ( 6(8 + 9) )
6.nso.8 dok 1

1. which expression is equal to ( 60 + 76 )?

① ( 3(20 + 25) )
② ( 12(5 + 6) )
③ ( 2(30 + 38) )
④ ( 5(12 + 15) )
6.nso.8 dok 2

1. which expression is equivalent to ( 6(3x + 2) - 5x )?

① ( -2x + 12 )
② ( 13x + 2 )
③ ( 13x + 12 )
④ ( 5x + 8 )
6.af.16 dok 2

Explanation:

Step1: Analyze Q13 (sum of 4 and t)

Sum means addition of 4 and $t$, so $4+t$. Also, $2+2 = 4$, so $2+2+t = 4+t$.

Step2: Analyze Q14 (equivalent to $48+56$)

Factor out GCD of 48 and 56: $\gcd(48,56)=8$, so $8(6+7)$. Also, $48=4×12$, $56=4×14$, so $4(12+14)$. Verify: $8(6+7)=8×13=104$, $4(12+14)=4×26=104$, $48+56=104$.

Step3: Analyze Q15 (equal to $60+76$)

Calculate $60+76=136$. Check options: $2(30+38)=2×68=136$.

Step4: Analyze Q16 (simplify $6(3x+2)-5x$)

Distribute first: $6×3x + 6×2 -5x = 18x +12 -5x$. Combine like terms: $18x-5x+12=13x+12$.

Answer:

1. a. $4 + t$, e. $2 + 2 + t$
2. b. $8(6 + 7)$, d. $4(12 + 14)$
3. c. $2(30 + 38)$
4. c. $13x + 12$