Find a solution to each equation mentally.
Solve Linear Equations.
You are going to solve two-steps linear equations in the applet below. There are 4 difficulty levels here (see slider at bottom.) Just follow the instructions below and do as many problem as time allows you. You will need a sheet of paper and pencil/pen.
- Read the given equation in the applet.
- Solve it on a sheet of paper.
- Enter your answer in the space provided for the value of x.
- Read the second part of the equation and also enter your answer in the space provided.
- Press the Enter key on your keyboard.
- If your first answer isn’t correct, it is recommended that you correct it before proceeding. Otherwise, click .
- Continue to practice, and change difficulty level after mastering a lower level.
Exploring Equal and Equivalent Expressions.
You are going to solve two-steps linear equations in the applet below. Just follow the instructions below and do as many problem as time allows you.
- Read the problem.
- Solve the problem on a sheet of paper or your notebook.
- Enter your answer in the yellow input box, and press the Enter key on your keyboard. If your answer is correct, you’ll see a confirmation.
- If your answer isn’t correct, then it is recommended that you give it another try before you click on
- Follow through until you find the correct answer.
- Then, click .
Draw Diagrams to Represent Expressions.
In this activity, you are going to use geometric tools to draw diagrams of mathematics expressions. See the example below.
Here is a diagram of x + 2 and 3x , when x = 4. Notice that the unknown, x, are lined up on their left.
Follow the example above to do the following problems. You can use the Pen or Text tools
- Draw a diagram of x+2, and a separate diagram of 3x, when x is 3.
- Draw a diagram of x+2, and a separate diagram of 3x, when x is 2.
- Draw a diagram of x+2, and a separate diagram of 3x, when x is 1
- Draw a diagram of x+2, and a separate diagram of 3x, when x is 0.
When are x + 2 and 3x equal? When are they not equal? Explain.
Here is a list of expressions. Find any pairs of expressions that are equivalent. If you get stuck, try reasoning with diagrams.
Below are four questions about equivalent expressions. For each one:
- Decide whether you think the expressions are equivalent.
- Test your guess by choosing numbers for (and if needed).