STAIR Project by Katlyn Witt Click on the arrow to advance to the next page

Just like the title states, this STAIR will teach you how to solve multi-step equations. You can navigate through this presentation using the buttons at the bottom of the screen. The arrow buttons will take you back and forth between the different pages. The video camera button will take you back to the video mini-lesson, in the event you want to review or brush up on your skills.

 Use the distributive property to simplify an equation.  Use the addition, subtraction, multiplication, and division properties of equality to solve an equation.  A1.2.1  A1.2.3

Click the video to play.

Using the steps you learned in the video, solve the following equations. You will want to have a writing utensil, paper, and a calculator (but it’s not necessary). Choose the best answer for each of the equations. Advance to the next page to begin.

2x + 10 = 6 x = - 2 I don’t know where to start I don’t know where to start x = ½ x = 8

You got the problem correct! Click the arrow in the corner to go to the next question.

2x and 10 are not considered like terms. Try again! Back to Question

It looks like you added 10 instead of subtracting it. Try again! Back to Question

The first thing you need to do is use the subtraction property of equality. Back to Question

Click the video to play. Back to Question

13 – 4x = -15 x = I don’t know where to start I don’t know where to start x = 7 x = ½

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13 and -4x are not “like terms”. Try again! Back to Question

It looks like you added 13 instead of subtracting it from both sides. Try again! Back to Question

The 13 in front is positive, so you need to use the subtraction property of equality. Back to Question

Click the video to play. Back to Question

½ x + 5 = 25 x = 40 I don’t know where to start I don’t know where to start x = 60 x = 45

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It looks like you added 5 to both sides instead of subtracting 5. Try again! Back to Question

When getting rid of a fraction, you need to multiply everything by 2. You forgot to multiply the middle term as well. Try again! Back to Question

Start by using the subtraction property of equality to move the 5 to the other side. Back to Question

Click the video to play. Back to Question

3x – 4 + 5x = 12 x = - 8 I don’t know where to start I don’t know where to start x = 2 x = 1

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Be careful with combining like terms. 3x + 5x is not -2x. Try again! Back to Question

It looks like you subtracted 4 from both sides instead of adding 4. Try again! Back to Question

Start by combining like terms on the left side. Back to Question

Click the video to play. Back to Question

12x + 10 = 3x + 55 x = 4.3 I don’t know where to start I don’t know where to start x = 2.6 x = 5

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It looks like you added on both sides instead of subtracting. Try again! Back to Question

You can’t combine the x’s and the constants (just the numbers). Try again! Back to Question

Start with the subtraction property of equality. Back to Question

Click the video to play. Back to Question

4x + 5 – 2x = x x = - 5 I don’t know where to start I don’t know where to start x = 1.67 x = - 15

You got the problem correct! Click the arrow in the corner to go to the next question.

It looks like you combined like terms incorrectly. 4x – 2x is not 6x. Try again! Back to Question

It looks like you added 5 to both sides instead of subtracting 5. Try again! Back to Question

You need to combine like terms on the left first. Back to Question

Click the video to play. Back to Question

4(x – 6) = 16 x = 5.5 I don’t know where to start I don’t know where to start x = 0.67 x = 10

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When distributing the 4, make sure you also multiply 4 times - 6. Try again! Back to Question

You cannot combine the -6 and the x inside the parenthesis. Try again! Back to Question

Distribute the 4 by multiplying it into the parenthesis. Back to Question

Click the video to play. Back to Question

7(x + 3) = x - 4 x = -0.2 I don’t know where to start I don’t know where to start x = 2.1 x = - 4

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You cannot combine the x and the 3. Try again! Back to Question

It looks like you added 21 to both sides instead of subtracting it. Try again! Back to Question

Distribute the 7 by multiplying it into the parenthesis. Back to Question

Click the video to play. Back to Question

5(3 + 2x) = 35 x = 2 I don’t know where to start I don’t know where to start x = 10 x = 13.5

You got the problem correct! Click the arrow in the corner to go to the next question.

You need to be sure to distribute the 5 to both terms in the parenthesis. Try again! Back to Question

It looks like you subtracted the 5 that was in front of the parenthesis instead of distributing it. Back to Question

Distribute the 5 by multiplying it into the parenthesis. Back to Question

Click the video to play. Back to Question

10(7x – 6) = 30x + 20 x = -1 I don’t know where to start I don’t know where to start x = 1 x = 2

You got the problem correct! Click the arrow in the corner to finish the STAIR.

You cannot combine the 7x and -6. Try again! Back to Question

You cannot combine the 30x and the 20. Try again! Back to Question

Distribute the 10 by multiplying it into the parentheses. Back to Question

Click the video to play. Back to Question

For additional practice solving multi-step equations, follow the link to play the Rags to Riches game.