Algebra II (H)/(G) Summer Assignment

Answer all questions. You may use a calculator, but you must show ALL work.

  1. Anna selected a marble from a bag of 100 marbles. With each selection, she recorded the color, then replaced the marble in the bag. Use the data in the table to find the probabilities below.

Outcome / Red / Blue / Yellow / Green
Total / 35 / 22 / 15 / 28
  1. P(red)b. P(blue)c. P(red or yellow)d. P(not green)
  1. A manufacturer randomly selected 2,000 batteries and found that 38 were defective. In a production run of 100,000 batteries, about how many of the batteries can be expected not to have any defects?
  1. Use the letter to represent “a number,” write the verbal phrase in algebraic language.
  2. 8 more than the product of 3 times a number
  1. 4 times the sum of a number and 7
  1. If , , , and , find the value of the expressions below.
  2. b. c.
  1. Solve for the variable then answer the question given.
  2. If , find the value of .
  1. If , find the value of .
  1. Simplify the following polynomials by combining like terms.
  2. b.
  1. Multiply the following polynomials.
  2. b.
  1. c.
  1. Mildred bought 1-cent stamps, 32-cent stamps, and 33-cent stamps for $21.80. The number of 1-cent stamps exceeded the number of 33-cent stamps by 50. The number of 32-cent stamps was 10 less than twice the number of 33-cent stamps. How many of each kind did she buy?
  1. After Mr. Sims lost 15% of his investment, he has $2550 left. How much did he invest originally?
  1. How many pounds of seed worth $2.40 per pound must be mixed with 300 pounds of seed worth $1.40 per pound to produce a mixture worth $2.00 per pound?
  1. Mr. Santos invested a sum of money at 6%. He invested twice as much at 5%. The total annual income from these investments was $640. Find the amount he invested at each rate.
  1. The sum of Carl’s age and Ellen’s age is 40 years. Carl’s age 10 years from now will be 1 less than 4 times Ellen’s age 6 years ago. Find their present ages.
  1. The second side of a triangle is 8cm less than the first side. The third side is 14cm more than the first side. The perimeter of the triangle is 63cm. Find each side of the triangle.
  1. John, James, and George sold tickets for the school baseball game. John sold 6 times as many as James. George sold 6 more than James. In all they sold 54 tickets. How many did each man purchase?
  1. Graph the following lines on the graphs provided.
  2. b.

  1. Find the x and y intercept of
  1. Write the equation of the line that passes through points
  1. Solve for x and y given both equations.
  2. b.
  1. A basketball manager bought 7 shirts and 4 pairs of shoes for $490.00. Another manager, who paid the same prices, paid $290.00 for 5 shirts and 2 pairs of shoes. Find the cost of a shirt and the cost of a pair of shoes.
  1. Solve for if .
  1. Simplify:
  1. Expand:
  1. Factor: