splash screen. lesson menu objectives vocabulary example 1 example 2 quick quiz
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Objectives
Vocabulary
Example 1
Example 2
Quick Quiz
• To extend the techniques of solving balance puzzles to equation-solving techniques that are independent of the model
• To provide experience in assigning variables and translating problems into algebraic sentences
• To develop strategies for solving equations through operations with the balance model
Write an equation that fits the balance puzzle.
On the left side of the balance there are 4 bags of blocks and 4 single blocks. If n stands for the number of blocks in each bag, then the number of blocks in “four bags and four blocks” is 4n + 4.
On the right side of the balance there are 2 bags and 6 single blocks. The number of blocks in “two bags and six blocks” is 2n + 6.
Since the sides balance, the number of blocks on the left, 4n + 4, is equal to the number of blocks on the right, 2n + 6. This can be expressed with the equation 4n + 4 = 2n + 6.
Answer: 4n + 4 = 2n + 6
1. A
2. B
3. C
4. D0% 0%0%0%
Find the equation that matches the balance puzzle.
A. 3n + 6 = 5n + 3
B. 4n + 3 = 3n + 5
C. 3n + 6 = 3n + 5
D. 4n + 3 = 5n + 3
Write an equation that fits the balance puzzle.
On the left side of the balance there are 3 bags of blocks and 1 single block. If n stands for the number of blocks in each bag, then the number of blocks in “three bags and one block” is 3n + 1.
On the right side of the balance there are 2 bags and 9 single blocks. The number of blocks in “two bags and nine blocks” is 2n + 9.
Since the sides balance, the number of blocks on the left, 3n + 1, is equal to the number of blocks on the right, 2n + 9. This can be expressed with the equation 3n + 1 = 2n + 9.
Answer: 3n + 1 = 2n + 9
1. A
2. B
3. C
4. D0% 0%0%0%
Find the equation that matches the balance puzzle.
A. 3n + 6 = 4n + 9
B. 3n + 6 = 9n + 4
C. 6n + 3 = 9n + 4
D. 6n + 3 = 4n + 9
1. A
2. B
3. C
4. D
A B C D
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A. Three bags and 7 blocks are in balance with one bag and 12 blocks. Select the equation for this situation.
A. 3 + 7 = 1 + 12
B. 4b = 19
C. 3b + 7 = b + 12
D. 3b + 7 = 1 + 12
1. A
2. B
3. C
4. D
A B C D
0% 0%0%0%
B. Three bags and 7 blocks are in balance with one bag and 12 blocks. Solve the equation by using balance operations.
A. b = 15
B. b = 2.5
C. b = 5
D. b = 19
1. A
2. B
3. C
4. D0% 0%0%0%
A. Find the equation that matches the balance puzzle.
A. 2n + 8 = 5n + 2
B. 8n + 5 = 2n + 5
C. 13n = 7n
D. 10n = 10
1. A
2. B
3. C
4. D
A B C D
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B. Solve 2n + 8 = 5n + 2.
A. n = 4
B. n = 1
C. n = 3
D. n = 2
1. A
2. B
3. C
4. D0% 0%0%0%
CHALLENGE Complete the equation 2x + 3 = ___ so that it describes a balance puzzle that has an answer of 5.5 blocks.
A. 2x + 3 = 14
B. 2x + 3 = 13
C. 2x + 3 = 33
D. 2x + 3 = 5.5
Image Bank
Math Tools
Multilingual e-Glossary
Solving Equations Using Algebra Tiles
Spreadsheets
Solving Equations Two-Step Equations
