[enVision Florida B.E.S.T Algebra 1] Lesson 1-2 Quiz

Cafeteria A has 7 packs of granola bars and 12 loose granola bars. Cafeteria B has 3 packs of granola bars and 84 loose granola bars. If the cafeterias have the same number of granola bars, how many are in each package?

(a)  

Cranberry juice costs $6.30 per quart and apple juice costs $3.60 per quart. Terrence wants to make a cranberry-apple juice mixture that costs $4.50 per quart. He wants to know how many quarts q of cranberry juice he should mix with 4 quarts of apple juice. Which equation represents the situation?

• 3.60(q – 4) + 25.20 = 4.50q

• 3.60q + 25.20 = 4.50(q + 4)

• 6.30(q – 4) + 14.40 = 4.50q

• 6.30q + 14.40 = 4.50(q + 4)

Part A

Food Drivers, a meal delivery service, charges a $4 delivery fee plus $0.25 per mile. Totally Takeout charges a $3.25 delivery fee plus $0.35 per mile.

Write an equation to find the number of miles m for which the delivery services would charge the same amount add to item.

(a)  

Part B

Choose the correct responses and then round the final answer to the nearest tenth.

The delivery services will charge the same amount for (a)   miles.

Tags

CCSS.6.NS.B.3

Company A charges $20.40 monthly for up to 3 gigabytes of data and $9.80 per additional gigabyte. Company B charges $18.60 monthly for up to 3 gigabytes of data and $10.10 per additional gigabyte. For what number of additional gigabytes would the two companies charge the same amount?

(a)  

Tags

CCSS.8.EE.C.7B

Part A

Tonya’s dog-walking service charges a flat rate of $20 per month, plus $3 per mile that each dog is walked. Beth does not charge a monthly fee for her dog-walking service, but she charges $5 per mile that each dog is walked.

Choose the equation that can be used to find the number of miles m for which Tonya and Beth would charge the same amount to walk one dog.

• 20 + 3m = 5m

• 20 = 3m + 5m

• 20 + 5m = 3m

• 20 + m = 8m

Part B

^{The solution is (a)   miles.}