6.1 Quiz (Solving Equations Using Models)

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| By Angsarah

Angsarah

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Quizzes Created: 2 | Total Attempts: 8,189

Questions: 6 | Attempts: 74 | Updated: Aug 29, 2023

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6.1 Quiz (Solving Equations Using Models) - Quiz

Read Carefully: Use algebra tiles to solve each equation. You may use the manipulatives, or the SMART Notebook computer program to do this. When finished, record your final answers here. If you don't score 100% the first time, you may retry the quiz. Your final grade will then be a blend of your first and second marks.

Questions and Answers

1.

-2x + 3 = 13

Explanation
To find the value of x, we need to isolate it on one side of the equation. We can do this by subtracting 3 from both sides of the equation: -2x = 10. Then, we divide both sides by -2 to solve for x: x = -5. Therefore, the correct answer is -5.

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4
2.

-2x - 3 = -13

Explanation
Adding 5 to both sides of the equation helps to isolate the variable term, -2x, on the left side. By doing so, the equation becomes -2x = -8. Then, adding 5 again to both sides of the equation simplifies it further to -2x = -3. This allows us to solve for x by dividing both sides by -2, resulting in x = 3/2 or x = 1.5. Therefore, the answer is 5, +5.

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4
3.

5y = 15

Explanation
The given equation is 5y = 15. To isolate the variable y, we need to divide both sides of the equation by 5. This gives us y = 3. The next step is to solve the equation 3 + 3, which equals 6. Therefore, the correct answer is 3, +3.

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4
4.

8t = -16

Explanation
To solve the equation 8t = -16, we need to isolate the variable t. We can do this by dividing both sides of the equation by 8. This gives us t = -16/8, which simplifies to t = -2. Therefore, the value of t that satisfies the equation is -2.

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5.

3x - 4 = 2

Explanation
The given equation is 3x - 4 = 2. To solve for x, we need to isolate the variable. Adding 4 to both sides of the equation, we get 3x = 6. Then, dividing both sides by 3, we find that x = 2. The answer provided, 2,+2, seems to be incorrect as it includes an extra +2 that is not necessary in the solution.

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4
6.

Breanna and 3 friends need $29 to buy a game. Breanna has $5. Each friend will contribute an equal amount of money. Breanna wants to know how much money each friend should contribute. Can you help her figure this out? Write an equation for the situation and solve. Only type in final answer, not equation used.

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Current Version
Aug 29, 2023

Quiz Edited by
ProProfs Editorial Team
Apr 28, 2010

Quiz Created by
Angsarah

6.1 Quiz (Solving Equations Using Models)

-2x + 3 = 13

-2x - 3 = -13

5y = 15

8t = -16

3x - 4 = 2