Algebra Leap

There are 15 animals in a barn.  These animals are horses and chickens.  There are 44 legs in all.  Which system of equations represents the situation?

• x + y = 15
  4x + 2y = 44

• 4x + 2y = 15
  x + y = 44

• x = 2y + 44
  4x = y + 15

• 2x - 4y = 44
  x - y = 15

Your family goes to a restaurant for dinner. There are 6 people in your family. Some order the chicken dinner for $14.80 and some order the steak dinner for $17. If the total bill was $91, how many people ordered each type of dinner? Write the system of equations in order to solve.

• 2 steak dinners

  4 chicken dinners

• 1 steak dinner

  5 chicken dinners

• 5 steak dinners

  1 chicken dinner

• 4 steak dinners

  2 chicken dinners

Which inequality is shown in the graph?

• y < 2x + 1

• y < -2x + 1

• y ≤ 2x + 1

• y ≤ -2x + 1

Match

• y < x−2 
  y < 3

• y > -x+2
  y > 3

• y < -x+2
  y < 3

• y < -x+2
  y > 3

• y = 3.5x + 12

• y = 3.5x + 10

• y = 4.5x + 11

• y = 4.5x + 9

Solve the inequality: -9\left(x-5\right)+9<3x+42

• x > 2

• x > -1

• x > 1

• x < -2

A mom is going to the movies with her three kids and wants to stay within her budget of $50. She must buy 4 movie tickets that cost $6 each. If popcorn costs $8 per bucket, how many buckets of popcorn can she buy?

Which inequality best represents this problem?

• A
• B
• C
• D