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Algebra 1

1.8.5 Practice

Algebra 11.8.5 Practice

1.8.5 Practice

1.8.5 • Practice

Complete the following questions to practice the skills you have learned in this lesson.

For questions 1 – 4 use the problem below:

Priya is buying raisins and almonds to make trail mix. Almonds cost $5.20 per pound and raisins cost $2.75 per pound. Priya spent $11.70 buying almonds and raisins. The relationship between pounds of almonds, pounds of raisins, and the total cost is represented by the equation 5.2 a + 2.75 r = 11.7 .

How many pounds of raisins did Priya buy if she bought the following amount of almonds?

  1. 2 pounds of almonds
  1. 0.473
  2. 0.946
  3. 2.75
  4. 1.192
  1. 1.06 pounds of almonds
  1. 2.811
  2. 5.5
  3. 1.689
  4. 2.25
  1. 0.64 pounds of almonds
  1. 8.371
  2. 3.044
  3. 1.911
  4. 9.94
  1. a pounds of almonds
  1. r = 11.7 − 5.2 a 2.75
  2. r = 2.75 11.7 − 5.2 a
  3. r = 11.7 − 2.75 a 5.2
  4. r = 11.7 + 5.2 a 275

For questions 5 – 6 use the scenario below:

A car traveled 180 miles at a constant rate.

  1. For each of the missing spaces in the table, a-d, select the missing value that completes the table to show the rate at which the car was traveling if it completed the same distance in each number of hours.
Travel Time
(Hours)		 Rate of Travel
(Miles Per Hour)
5 a. ____
4.5 b. ____
3 c. ____
2.25 d. ____
   a.______
  1. 60
  2. 36
  3. 80
  4. 40
b. _____
  1. 60
  2. 36
  3. 80
  4. 40
c. _____
  1. 60
  2. 36
  3. 80
  4. 40
d. _____
  1. 60
  2. 36
  3. 80
  4. 40
  1. Choose the equation that would make it easy to find the rate at which the car was traveling in miles per hour r , if it traveled for t hours.
  1. r − 180 − t
  2. r = 180 t
  3. r = 180 t
  4. r = t 180
  1. Bananas cost $0.50 each, and apples cost $1.00 each.
    Select all three combinations of bananas and apples that Elena could buy for exactly $3.50.
  1. 2 bananas and 2 apples
  2. 3 bananas and 2 apples
  3. 1 banana and 2 apples
  4. 1 banana and 3 apples
  5. 5 bananas and 2 apples
  6. 5 bananas and 1 apple
  1. Choose the best answer to solve the formula A = P + P r t for t .
  1. t = r ( A − P ) P
  2. t = A + P P r
  3. t = A − P P r
  4. t = P − A P r
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