Unit 5B Algebra 1

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Marge is selling bracelets and necklaces to earn money. She makes $2.00 from each bracelet and $2.50 from each necklace. She has enough materials to make 30 pieces of jewelry, and she wants to earn at least $50.00. Let b = # bracelets and n = # necklaces Marge makes. Select the TWO inequalities that make this system. (CHOOSE TWO)

When the two inequalities from the previous question are graphed, you get the image seen here. You can click the image to make it larger. Note the labels on the x and y axes. Select ALL of the answers below that represent what Marge can make.

• 15 bracelets, 10 necklaces

• 0 bracelets and 20 necklaces

• 5 bracelets and 20 necklaces

• 20 bracelets and 1 necklace

Select ALL of the equations that match this graph.

• 5 Algebra 1

  2 Calculus

• 7 Algebra 1

  5 Calculus

• 10 Algebra 1

  5 calculus

• 13 Algebra 1

  2 Calculus

Which point is a solution of the system above?

• (0, 0)

• (0, 1)

• (1, 0)

• (1, 1)

Bob the Builder needs two types of tiles for a floor: Hexagon and square. A box of hexagon tile is $30.00 per box and a box of square tile is $25.00 per box. Bob has a budget of $2500.00 and he needs at least 40 boxes of tiles to cover the floor. Assume x is the number of hexagon tile boxes and y is the number of square tile boxes.

Which system of inequalities works for Bob? Select TWO.

Which inequality matches this graph? (Choose one)

Select the system that matches this graph. (Choose only one)

Suppose you recently joined a weather watcher's group and it's YOUR responsiblity to measure the rain using the graduated cylinder shown in the image. You notice there is some water in the cylinder so you start to record the time and the amount of water. After 10 minutes the water is at 4 cm. After 20 minutes the water is at 6.5 cm.

Suppose the water continues to fall at this same rate. Write an equation and predict when the water will be at 9 cm.

The water will be at 9 cm after _ minutes.

Mathematical Equivalence

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