Algebra I Test

Unit One – Real Number System

Good Luck To______Period_____Date______

Vocabulary: Define each word and give an example.

  1. Row (of a matrix)
  1. Order of a Matrix
  1. Theoretical Probability
  1. Range (of a data set)

Short Answer:

  1. Describe how to calculate the mean of a set of data.
  1. What has to be true about two matrices in order to subtract them?
  1. What operation is used when calculating the probability that two events will happen?

Review:

  1. Find the sum.
  1. Find the product. .
  1. List the following real numbers in order and graph on the number line provided.

Problems:

**Be sure to show all work used to obtain your answer. Circle or box in the final answer.**

  1. Use the matrix .
  1. Write the entry in row 1, column 2. b. State its order. c. Is it a square matrix?
  1. Perform the operations on the matrices (if possible).
  1. Store 1 sells portable CD players for $25, MP3 players for $50, and headphones for $7. Store 2 sells portable CD plays for $30, MP3 players for $45, and headphones for $8. Organize this information in a matrix.
  1. Rene tosses two coins 40 times and records the results of each toss in a table. Use his results to find the experimental probability of Rene tossing two heads.

Results of Each Toss:

TT / TH / TH / HT / HH / HH / HT / TT / HH / TH / HH / HH / TH / TH / TH / TH / TT / HH / HH / TT
TH / HH / TH / TT / TT / TT / TT / TT / TH / HT / TT / HH / TH / TH / HH / HT / TT / HH / HT / TT
  1. Find the theoretical probability of obtaining two heads when tossing two coins.
  1. Find the probability of rolling a number divisible by 3 and obtaining a tail when rolling a die and tossing a coin.
  1. The probability that it will rain on Saturday is 30%. What is the probability that it will NOT rain on Saturday?
  1. A bag has 5 red marbles, 8 green marbles, and 12 blue marbles. What is the probability of choosing a red and then a green marble randomly from the bag if you do NOT put the first marble back after choosing it?
  1. Which is more likely to occur: An event with a probability of or an event with a probability of ?
  1. Use the data set to answer the questions:
  1. Draw a stem-and-leaf plot.
  1. Find the 1st, 2nd, and 3rd quartiles.
  1. Draw a box-and-whisker plot.
  1. What percent of the data are less than 22?
  1. Find the mean.
  1. Find the median.
  1. Find the mode.
  1. Find the range.
  1. Find the interquartile range.

Multiple Choice Questions: Circle the best answer.

  1. Find the difference of the matrices: . Circle your answer.
  1. There are 20 equally-sized sections on a spinner. There are 6 blue sections, 3 yellow sections, 9 red sections, and 2 green sections. What is the probability of the spinner landing in a blue or yellow section on the first spin?

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