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Open Up - Grade 8 - Mathematics - Unit 4 - Lesson 9

Last updated 9 months ago
12 questions
1

Cell phone Plan A costs $70 per month and comes with a free $500 phone. Cell phone Plan B costs $50 per month but does not come with a phone.

If you buy the $500 phone and choose Plan B, how many months is it until your cost is the same as Plan A's?

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1

Priya and Han are biking in the same direction on the same path.

Han is riding at a constant speed of 16 miles per hour. Write an expression that shows how many miles Han has gone after t hours.

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1

Priya and Han are biking in the same direction on the same path.

Priya started riding a half hour before Han. If Han has been riding for t hours, how long has Priya been riding?

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1

Priya and Han are biking in the same direction on the same path.

Priya is riding at a constant speed of 12 miles per hour. Write an expression that shows how many miles Priya has gone after Han has been riding for t hours.

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1

Priya and Han are biking in the same direction on the same path.

Use your expressions from the previous problems. To find when Han and Priya meet.

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1

Which story matches the equation -6+3x=2+4x?

A. At 5 p.m., the temperatures recorded at two weather stations in Antarctica are -6 degrees and 2 degrees. The temperature changes at the same constant rate, x degrees per hour, throughout the night at both locations. The temperature at the first station 3 hours after this recording is the same as the temperature at the second station 4 hours after this recording.

B. Elena and Kiran play a card game. Every time they collect a pair of matching cards, they earn points. At one point in the game, Kiran has -6 points and Elena has 2 points. After Elena collects 3 pairs and Kiran collects 3 pairs and Kiran collects 4 pairs, they have the same number of points.

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1

For what value of x do the expressions \frac{2}{3}x+2 and \frac{4}{3}x-6 have the same value?

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1

Decide whether each equation is true for all, one, or no values of x.

  • 2x+8=-3.5x+19
  • 9(x-2)=7x+5
  • 3(3x+2)-2x=7x+6
  • True for one value of x.
  • True for all values of x.
  • True for no values of x.
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1

Solve the equation.(If your answer is a fraction keep it as one.)

3d+16=-2(5-3d)

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1

Solve the equation.(If your answer is a fraction keep it as one.)

2k-3(4-k)=3k+4

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1

Solve the equation.(If your answer is a fraction keep it as one.)

\frac{3y-6}{9}=\frac{4-2y}{-3}

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1

Describe a rigid transformation that takes Polygon A to Polygon B.

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"Source: Open Up Resouces (Download for free at openupresources.org.)"