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Combining Like Terms Printable/Handout/Homework

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DNJDesigns and Mathman1962
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Grade Levels
8th - 12th
Standards
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DNJDesigns and Mathman1962
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Description

Do you NOT have time to create your own handouts, worksheets, or homework assignments? We have you covered!

Students need to master combining like terms in order to move to more complex topics in mathematics. This activity covers the combining of like terms in algebraic expressions. Problems include terms with integer and rational number coefficients and variable terms with differing powers. The problems get progressively harder as the student moves through the activity. This activity can be used as guided practice in the classroom or as a homework assignment.

Free companion video here.

This activity can also act as a differentiated instruction activity for those students that need additional practice or remediation in this topic. It can also be used as enrichment for students that need to be challenged with a topic beyond what they are currently learning.

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Standards

to see state-specific standards (only available in the US).
Rewrite expressions involving radicals and rational exponents using the properties of exponents.
Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.
Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.
Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions.
Look for and make use of structure. Mathematically proficient students look closely to discern a pattern or structure. Young students, for example, might notice that three and seven more is the same amount as seven and three more, or they may sort a collection of shapes according to how many sides the shapes have. Later, students will see 7 × 8 equals the well remembered 7 × 5 + 7 × 3, in preparation for learning about the distributive property. In the expression 𝑥² + 9𝑥 + 14, older students can see the 14 as 2 × 7 and the 9 as 2 + 7. They recognize the significance of an existing line in a geometric figure and can use the strategy of drawing an auxiliary line for solving problems. They also can step back for an overview and shift perspective. They can see complicated things, such as some algebraic expressions, as single objects or as being composed of several objects. For example, they can see 5 – 3(𝑥 – 𝑦)² as 5 minus a positive number times a square and use that to realize that its value cannot be more than 5 for any real numbers 𝑥 and 𝑦.

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