Everything You Need in One Place

Homework problems? Exam preparation? Trying to grasp a concept or just brushing up the basics? Our extensive help & practice library have got you covered.

Learn and Practice With Ease

Our proven video lessons ease you through problems quickly, and you get tonnes of friendly practice on questions that trip students up on tests and finals.

Instant and Unlimited Help

Our personalized learning platform enables you to instantly find the exact walkthrough to your specific type of question. Activate unlimited help now!

Get the most by viewing this topic in your current grade. Pick your course now.

  1. A bedroom wall is painted with blue polka dots and green flowers. The basic design is shown.
    Below are two patterns made when 2 and 3 of the basic designs are put together.
    1. Create a table that shows the pattern of blue polka dots and green flowers for the first 6 figures. Describe the pattern.
    2. Use b to represent the number of green flowers. Write an expression to describe the number of blue polka dots.
    3. How many polka dots will there be if there are 32 flowers?
  2. Bianca was changing fractions into decimal numbers and noticed a pattern.
    211=0.1818... \frac{2}{11}=0.1818...
    311=0.2727... \frac{3}{11}=0.2727...
    1. Describe the pattern.
    2. Write 411\frac{4}{11} as a decimal number, using bar notation.
    3. Write 0.54545454...0.54545454... as a fraction.
  3. Bella always sleeps for 8 hours on school days and 2 extra hours on holidays.
    1. Write an expression to show the hours of sleep that Bella gets in a week.
    2. If Bella only has 2 days of school this week, how many hours of sleep does she have for the whole week? Use the expression in the previous part to answer this question.
Topic Notes
In this section, we are asked to describe given patterns and copy and complete tables of values for these patterns. Also, we use variables to write expressions for the patterns and then solve for these variables. In this section, we will gain fundamental knowledge about expressions and variables that we will build on in other sections.