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Algebraic Reasoning

Related Topics:
Math Word Problems, Math Worksheets

Here are some examples of algebraic reasoning word problems. The videos will illustrate how to use the block diagrams (Singapore Math) method to solve word problems. Go to Math Word Problems for more examples.

How to solve Algebra Word Problems using Singapore Math?

Algebra Singapore Maths 1
Example: The length of a piece of cloth is 8y m. Mr. Lim cuts 7 m from it to sew some cushion covers.Then, he cut 3y m to sew a curtain. The remaining material was cut into 4 equal piece. How long was each piece in terms of y?
Algebra Singapore Maths 2
Example: On Monday, Linus made 5k paper cranes and gave away 2k paper cranes to his friends. On Tuesday, he made another 4k paper cranes. His friend gave him 5 paper cranes. How many paper cranes does he have now in terms of k?

Algebra Singapore Maths 3
Example: At a market, a pear cost b cents and an apple cost 7 cents less than a pear. Mrs. Ravi bought 4 pears and an apple. Find the total amount Mrs. Ravi paid in terms of b.
Algebra Singapore Maths 4
Example: Rahim has 5 boxes of sweets. Each box contains y sweets. His teacher gives him another 8 sweets.
(a) Find the total number of sweets Rahim has in terms of y?
(b) If y = 4, how many sweets does Rahim have altogether?


Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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