5.4B Variables

A bakery displays 18 sugar cookies and three times as many chocolate chip cookies. The cookies are arranged on 9 different display shelves with the same number of cookies on each shelf. Which equation represents the number of cookies, c, displayed on each shelf?

• [18 × (6 + 18)] ÷ 9 = c

• [18 + (3 × 18)] ÷ 9 = c

• (3 × 18) ÷ 9= c

• [18 × (3 + 18)] - 9 = c

Ethan collects 18 eggs from his family’s chickens and gives 6 of the eggs to a neighbor. He does this every week for 3 weeks. Which expression matches the words?

• (18 - 6) × 3

• (18 − 6) + 3

• (3 × 18) − 6

• 3(18 + 6)

Ansie bought 2 bags with 10 bows and 3 bags with 14 bows. She used 23 of the bows on graduation gifts she wrapped. Which equation can be used to solve for b, the number of bows Ansie has left? 

• (2 x 10) + (3 x 14) - 23 = b
• (2 x 10) + 14 - 23 = b
• 2 x 10 + 3 x (14 + 23) = b
• (2 + 10) x (3 + 14) - 23 = b

Anna sold 254 cookies for $2 each and 85 hamburgers for $4 each to raise money for a charity foundation. The equation below represents the amount of money Anna was able to donate to the foundation, m, after subtracting the $450 she spent on supplies to make the cookies and hamburgers from the amount she collected in sales. 
m = (2 × 254) + (4 × 85) – 450 
How much money did Anna donate to the charity foundation?

• $848
• $618
• $398
• $298

Taco Rojo is open for 12 hours every day.

They make 72 chicken tacos and 54 beef tacos each hour. 

They also make 28 steak tacos every hour.

Which equation can be used to find t, the number of tacos made at Taco Rojo in 12 hours?

• (72 + 54 + 28) x 12 = t

• (72 - 54 - 28) ÷ 12 = t

• (72 - 54 - 28) x 12 = t

• (72 + 54 + 28) ÷ 12 = t

Taco Rojo is open for 12 hours every day.

They make 72 chicken tacos and 54 beef tacos each hour. 

They also make 28 steak tacos every hour.

Which equation can be used to find t, the number of tacos made at Taco Rojo in 12 hours?

• (72 + 54 + 28) x 12 = t

• (72 - 54 - 28) ÷ 12 = t

• (72 - 54 - 28) x 12 = t

• (72 + 54 + 28) ÷ 12 = t

Valerie wants to do 60 hours of community service so that she can earn her Raven Scout service badge. She has worked at the youth center for 5 hours on each of 9 different days. Which equation shows h, the number of hours Valerie needs to finish her community service hours to earn her service badge?

• h = 60 + (9 x 5)

• h = 60 - (9 x 5)

• h = 60 ÷ (9 x 5)

• h = 60 x (9 x 5)

Marquez counts the number of cars and motorcycles in the store parking lot. He finds that there are 39 cars and 8 motorcycles. Which equation can be used to find t, the total number of tires in the parking lot?

• (39 x 2) + (8 x 4) = t

• (39 + 4) + (8 + 2) = t

• (39 x 4) + (8 x 2) = t

• (39 x 4) - (8 x 2) = t

Six 5th grade students donated $15 to the Ronald McDonald House of Dallas, and one student donated $50. All of he money donated was divided equally among 4 families. The equation shown can be used to find a, the amount in dollars that each family received.

ta = (15 x 6 + 50) ÷ 4

How much money did each family receive?

(B)

• A $100

• B $35

• C $65

• D $140

Rita bought 4 boxes of glass jars from a garage sale. 

Each box contained 12 jars.

A few jars were broken and had to be thrown away. 

Rita had 45 jars after she threw away the broken jars.

Which equation can be used to find b, the number of broken jars Rita threw away? 

• (4 x b) - 12 = 45

• (4 x 12) + b = 45

• (4 x 12) - b = 45

• (4 + 12) - b = 45