Contributor: Marlene Vogel. Lesson ID: 10837
Does algebra bug you? Can you go the distance with equations? Want to be a Math Millionaire? Shoot baskets, work worksheets, and play an online game to learn about using tables to write equations!
Beetles
Beetles are some of the fastest moving insects on the face of the Earth! The table below illustrates how fast a beetle can move:
Time (sec) |
1 |
2 |
3 |
4 |
5 |
… |
t |
Distance (in) |
4 |
8 |
12 |
16 |
20 |
… |
? |
Use the table to answer these questions. You can check your work by clicking on each question.
Before continuing this lesson, it would be good to learn or review some vocabulary words (all definitions can be found at A Maths Dictionary For Kids Quick Reference) by clicking on the term:
An equation is a mathematical statement or sentence that shows the relationship between two expressions.
For example, you could write an equation for a car ride you take with your parents. In your equation, you would compare the speed of the car and the distance the car travels, or the time it takes you to get from where you are to where you are going.
The table below is an example that could represent the drive you are taking with your family:
Speed (mph) |
30 |
35 |
40 |
45 |
50 |
s |
Distance (mi) |
90 |
105 |
120 |
135 |
150 |
d |
To learn how to write an equation that represents the relationship between the speed your car is going and the distance it is traveling, follow the steps below:
It would be great if every problem involving writing an equation came with a handy dandy table like the one above. However, that is not always the case. It is an important skill to learn how to set up your own table so you can then identify the pattern among the values and write your equation. Take a few minutes now and learn how to do that.
Mrs. Smith wants to take a vacation. The problem is, she has a dog and she only has $30 available to pay a kennel to board the dog for her while she is away. The local kennel charges $3 per day to board a dog. How many days can Mrs. Smith go on vacation and board her dog before her $30 runs out? Can she go on vacation for one week? Can she go on vacation for 2 weeks? Set up a table to show the relationship between the number of days the dog is boarded and the cost:
# Days |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
Cost |
# Days |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
Cost |
$3 |
# Days |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
Cost |
$3 |
$6 |
$9 |
$12 |
$15 |
$18 |
$21 |
The next section has opportunities for you to practice the skills you learned and strengthen your understanding.