Algebra 1

Name___________________________________ ID: 1

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Equations with Variables on Both Sides Day 2 HW

Date________________ Period____

Solve each equation. 1) -39 - 8 p = -2(4 p + 2) - 5 p

2) -3(-2b + 7) = -21 + 6b

3) 20 - 3n = 7n - 8(n - 4)

4) -2(3n - 6) = -2 - 4n

5) 4(1 + 7v) = 40 - 8v

6) -6(1 + 4n) = -24n + 21

7) 7(1 - 2x) + x = -5(3x + 1)

8) -8(8k - 2) + 2(k - 8) = -4k - k

9) The Philadelphia Phillies are looking for a new practice field. They have narrowed their choices down to two different options. Option A has the Phillies pay $36,000,871 for the field and allows them to sell a ticket to watch practice to the public for $89.81. Option B has the Phillies pay $26,896,222 for the field and allows them to sell a ticket to watch practice to the public for $76.81. How many tickets must be sold until the two options are the same? Round your answer to the nearest whole number.

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Algebra 1

Name___________________________________ ID: 1

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Equations with Variables on Both Sides Day 2 HW

Date________________ Period____

Solve each equation. 1) -39 - 8 p = -2(4 p + 2) - 5 p

{7 }

3) 20 - 3n = 7n - 8(n - 4)

{-6}

5) 4(1 + 7v) = 40 - 8v

{1 }

7) 7(1 - 2x) + x = -5(3x + 1)

{-6}

2) -3(-2b + 7) = -21 + 6b { All real numbers. }

4) -2(3n - 6) = -2 - 4n

{7}

6) -6(1 + 4n) = -24n + 21 No solution.

8) -8(8k - 2) + 2(k - 8) = -4k - k

{0}

9) The Philadelphia Phillies are looking for a new practice field. They have narrowed their choices down to two different options. Option A has the Phillies pay $36,000,871 for the field and allows them to sell a ticket to watch practice to the public for $89.81. Option B has the Phillies pay $26,896,222 for the field and allows them to sell a ticket to watch practice to the public for $76.81. How many tickets must be sold until the two options are the same? Round your answer to the nearest whole number. -36000871 + 89.81x = -26896222 + 76.81x ---> 700,357.6 tickets = 700,358 tickets

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