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Algebra 1

2.1.5 Practice

Algebra 12.1.5 Practice
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Complete the following questions to practice the skills you have learned in this lesson.

Access the Desmos guide PDF for tips on solving problems with the Desmos graphing calculator.


In 1 - 4, determine if the following points are solutions to the given system of equations.

  1. Determine if the point is a solution to the system of equations: { 2 x − 6 y = 0 3 x − 4 y = 5
  1. (1, 3/4)
  2. (8/7, 6/7)
  3. (-3,4)
  4. (3,1)
  1. Determine if the point is a solution to the system of equations: { x − 6 y = 0 3 x − 4 y = 5
  1. (1, 3/4)
  2. (8/7, 6/7)
  3. (-3,4)
  4. (3,1)
  1. Determine if the point is a solution to the system of equations: { x + y = 2 y = 3 4 x
  1. (1, 3/4)
  2. (8/7, 6/7)
  3. (-3,4)
  4. (3,1)
  1. Determine if the point is a solution to the system of equations: { 4 x + 4 y = 7 y = 3 4 x
  1. (1, 3 4 )
  2. ( 8 7 , 6 7 )
  3. (-3,4)
  4. (3,1)
  1. Solve the system of equations by graphing: { 3 x + y = − 3 2 x + 3 y = 5
  1. (4,-1)
  2. (-3,6)
  3. (0,-3)
  4. (-2,3)
  1. Solve the system of equations by graphing: { y = x + 2 y = − 2 x + 2
  1. (-2,0)
  2. (0,2)
  3. (-1,4)
  4. (2,0)
  1. Solve the system of equations by graphing: { y = 3 2 x + 1 y = − 1 2 x + 5
  1. (2,4)
  2. (0,5)
  3. (0,1)
  4. (4,3)
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  1. Solve the system of equations by graphing: { x + y = − 4 − x + 2 y = − 2
  1. (-2,-2)
  2. (4,1)
  3. (-1,0)
  4. (2,0)
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  1. Solve the system of equations by graphing: { − 2 x + 3 y = 3 x + 3 y = 12
  1. (0,1)
  2. (3,3)
  3. (4,0)
  4. (6,2)
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  1. Solve the system of equations by graphing: { 2 x − 4 y = 8 x + 3 y = 9
  1. (8,2)
  2. (-2,0)
  3. (4,0)
  4. (6,1)
  1. A bakery charges $2 per croissant and $4 per muffin. One day, they charge $42 in total and sell 15 baked goods. How many croissants and muffins did they sell?
  1. 8 croissants and 7 muffins
  2. 10 croissants and 5 muffins
  3. 9 croissants and 6 muffins
  4. 5 croissants and 10 muffins
  1. A pet store sells mice for $7 each and gerbils for $9 each. They sell 17 animals for a total of $137. How many mice and gerbils did they sell?
  1. 6 mice and 11 gerbils
  2. 7 mice and 10 gerbils
  3. 8 mice and 9 gerbils
  4. 15 mice and 2 gerbils
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