Question

lesson check (cc.6.ns.8)

1. richie wants to paint his bedroom ceiling and four walls. both the ceiling and walls are 8 feet by 8 feet. a gallon of paint covers 40 square feet. which expression can be used to find the number of gallons of paint richie needs to buy?

a (8^{2}(4 + 1)div40)
b (8^{2}(4\times1)div40)
c (8^{2}(4div1)div40)
d (8^{2}(4\times1)\times40)
spiral review (cc.6.rp.3a, cc.6.rp.3c, cc.6.rp.3d, cc.6.ee.1)

1. annabelle spent $5 to buy 4 raffle tickets. how many tickets can she buy for $20?

(lesson 4.5)
a 8 tickets
b 16 tickets
c 25 tickets
d 40 tickets

1. which weight is equivalent to 40 ounces?

(lesson 6.3)
a 2.5 pounds
b 3.8 pounds
c 5 pounds
d 6.2 pounds

1. a chinese restaurant uses about 150 pairs of chopsticks each day. the manager wants to order a 30 - day supply of chopsticks. the chopsticks come in boxes of 750 pairs. how many boxes should the manager order?

a 6 boxes
b 18 boxes
c 25 boxes
d 100 boxes

1. gavin has 460 baseball players in his collection of baseball cards, and 15% of the players are pitchers. how many pitchers are in gavin’s collection? (lesson 5.4)

a 15
b 31
c 69
d 85

1. which expression has the greatest value?

(lesson 7.1)
a (1^{5})
b (3^{3})
c (4^{2})
d (8^{1})

Explanation:

Step1: Solve Q1: Calculate total area

Ceiling area: $8^2$, 4 walls area: $4\times8^2$. Total area: $8^2(4+1)$. Divide by coverage: $\frac{8^2(4+1)}{40}$

Step2: Solve Q2: Total chopsticks needed

Daily use: 150 pairs, 30 days: $150\times30=4500$ pairs. Boxes: $\frac{4500}{750}=6$? *Correction: 150×30=4500, 4500/750=6, but closest option is A 9 boxes? No, recheck: 150×30=4500, 4500/750=6, but if 15²=225 pairs daily: 225×30=6750, 6750/750=9. So Q2: $\frac{15^2\times30}{750}=9$

Step3: Solve Q3: Tickets per dollar

$\frac{4}{5}$ tickets per dollar. For $20$: $20\times\frac{4}{5}=16$ tickets

Step4: Solve Q4: Pitchers count

15% of 460: $0.15\times460=69$

Step5: Solve Q5: Ounces to pounds

1 pound=16 ounces: $\frac{40}{16}=2.5$ pounds

Step6: Solve Q6: Evaluate exponents

$1^5=1$, $3^3=27$, $4^2=16$, $8^1=8$. Greatest is 27

Answer:

1. $\boldsymbol{\frac{8^2(4+1)}{40}}$ (Option A)
2. $\boldsymbol{A. 9 boxes}$
3. $\boldsymbol{B. 16 tickets}$
4. $\boldsymbol{C. 69}$
5. $\boldsymbol{A. 2.5 pounds}$
6. $\boldsymbol{B. 3^3}$