Valera - Topic 1 Test Review (Algebra 1)

An airport shuttle charges a $5 flat rate plus $1.50 per mile driven. Alex’s last trip to the airport cost $41. Write an equation to find the number of miles of Alex’s trip.

An airport shuttle charges a $5 flat rate plus $1.50 per mile driven. Alex’s last trip to the airport cost $41. Find the number of miles of Alex’s trip.

Six friends all use $2-off coupons to buy themselves movie tickets. The spend a total of $42. What is the price of one movie ticket without the coupon?

• $5

• $7

• $9

• $11

Tim has 74 socks that are white or black. He has 1 more pair of white socks than black socks. How many individual socks of each color does he have?

Write the number of black socks and then the number of white socks after the comma.

A scientist needs 10 liters of a 20% acid solution for an experiment, but she has only a 5% solution and a 40% solution. About how many liters of the 5% and the 40% solutions should the scientist mix to get the solution she needs? Choose the equation to match the situation.

• (0.20)(10) = 0.05x + 0.40x

• (0.20)(10) = 0.05x + 0.40(10 – x)

• (0.20)(10) = 0.05(10) + 0.40(10 – x)

• (0.20)(10) = 0.05(10 – x) + 0.40(10 – x)

Venetta buys 2 pounds of pistachios and 3 pounds of almonds. The pistachios cost $4 more per pound than the almonds. She pays a total of $48. Select all the correct statements about this situation.

• One pound of pistachios plus 1 pound of almonds cost $20.

• The pistachios cost twice as much per pound as the almonds.

• Reducing the number of pounds of almonds by one results in a total cost of $40.

• The cost a, in dollars, of 1 pound of almonds is modeled by the equation 2(a – 4) + 3a = 48.

• The cost p, in dollars, of 1 pound of pistachios is modeled by the equation 2p + 3(p – 4) = 48.

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 pack? __ granola bars

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)

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.

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. Find the number of miles m for which the delivery services would charge the same amount.