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Multi-Step Equations (Distributive Property)
  • 1. What is the first step in solving the equation?
    3(2a+5)−4a=17
A) Distribute 3 to the terms inside the parenthesis
B) Subtract 4a on both sides of the equal sign
C) Add 4a on both sides of the equal sign
D) Combine Like terms on each side of the equal sign
  • 2. What is the next step in solving the equation?
    3(2a+5)−4a=17
    6a+15-4a=17
A) Multiply 6 on both sides of the equal sign
B) Add 4a on both sides of the equal sign
C) Subtract 4a on both sides of the equal sign
D) Combine Like terms on each side of the equal sign
  • 3. What is the next step in solving the equation?
    3(2a+5)−4a=17
    6a+15-4a=17
    2a+15=17
A) Subtract 15 on both sides of the equal sign
B) Subtract 2a on both sides of the equal sign
C) Divide 2 on both sides of the equal sign
D) Multiply 2 on both sides of the equal sign
  • 4. What is the solution to the equation?
    3(2a+5)−4a=17
    6a+15-4a=17
    2a+15=17
    2a=2
A) a = 0
B) a = 1
C) a = -1
D) a = 2
  • 5. What is the first step in solving the equation?
    2(3b−2)+5b=51
A) Combine Like terms on each side of the equal sign
B) Distribute 2 to the terms inside the parenthesis
C) Add 5b from both sides of the equal sign
D) Subtract 5b on both sides of the equal sign
  • 6. What is the next step in solving the equation?
    2(3b−2)+5b=51
    6b-4+5b=51
A) Add 5b from both sides of the equal sign
B) Subtract 6b on both sides of the equal sign
C) Subtract 5b on both sides of the equal sign
D) Combine Like terms on each side of the equal sign
  • 7. What is the next step in solving the equation?
    2(3b−2)+5b=51
    6b-4+5b=51
    11b-4=51
A) Subtract 4 on both sides of the equal sign
B) Multiply 11 to both sides of the equal sign
C) Add 4 on both sides of the equal sign
D) Divide 11 to both sides of the equal sign
  • 8. What is the solution to the equation?
    2(3b−2)+5b=51
    6b-4+5b=51
    11b-4=51
    11b=55
A) b = 5
B) b = 11
C) b = 6
D) b = 14
  • 9. What is the solution to the equation?
    6(2c+1)−3c=42
A) c = 8
B) c = 2
C) c = 4
D) c = 6
  • 10. What is the solution to the equation?
    2(4x−3)+3x=71
A) x = -4
B) x = 6
C) x = 5
D) x = 7
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