Illustrative Math Alignment: Grade 7 Unit 7

Expressions, Equations, and Inequalities

Lesson 23: Applications of Expressions

Use the following Media4Math resources with this Illustrative Math lesson.

Title	Body	Curriculum Topic
Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 23	Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 23 Topic Variable Expressions Description This example demonstrates how to convert a verbal statement into a variable expression using multiplication and addition. The statement "The sum of twenty and negative ten times more than a number" is translated into the algebraic expression -10x + 20. This example helps students understand how to interpret mathematical language and represent it symbolically, especially when dealing with negative coefficients and the phrase "times more than."	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 24	Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 24 Topic Variable Expressions Description This example illustrates the process of converting a verbal statement into a variable expression using multiplication and addition. The statement "A total of sixteen and negative twenty times a number" is translated into the algebraic expression -20x + 16. This example helps students understand how to interpret mathematical language and represent it symbolically, particularly when dealing with negative coefficients and the phrase "times a number."	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 25	Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 25 Topic Variable Expressions Description This example demonstrates how to convert a verbal statement into a variable expression using multiplication and addition. The statement "Negative six multiplied by a number increased by negative twelve" is translated into the algebraic expression -6x + (-12). This example helps students understand how to interpret mathematical language and represent it symbolically, especially when dealing with negative coefficients and negative constants.	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 26	Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 26 Topic Variable Expressions Description This example demonstrates how to convert a verbal statement into a variable expression using multiplication and addition. The statement "Negative three times a number plus negative eleven" is translated into the algebraic expression -3x + (-11). This example helps students understand how to interpret mathematical language and represent it symbolically, especially when dealing with negative coefficients and negative constants.	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 27	Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 27 Topic Variable Expressions	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 28	Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 28 Topic Variable Expressions Description This example demonstrates how to convert a verbal statement into a variable expression using multiplication and addition. The statement "A total of negative nineteen and negative eight times a number" is translated into the algebraic expression -8x + (-19). This example helps students understand how to interpret mathematical language and represent it symbolically, especially when dealing with negative coefficients and negative constants.	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 29	Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 29 Topic Variable Expressions Description This example illustrates the process of converting a verbal statement into a variable expression using multiplication and addition. The statement "Negative four multiplied by a number increased by negative five" is translated into the algebraic expression -4x + (-5). This example helps students understand how to interpret mathematical language and represent it symbolically, particularly when dealing with negative coefficients and negative constants.	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 3	Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 3 Topic Variable Expressions Description This example demonstrates how to convert a verbal statement into a variable expression using multiplication and addition. The statement "The sum of fourteen and thirteen times more than a number" is translated into the algebraic expression 14 + 13x or 13x + 14. This example helps students understand how to interpret mathematical language and represent it symbolically, while also showing that the order of terms can be flexible.	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 30	Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 30 Topic Variable Expressions Description This example demonstrates how to convert a verbal statement into a variable expression using multiplication and addition. The statement "Negative four times a number plus negative three" is translated into the algebraic expression -4x + (-3). This example helps students understand how to interpret mathematical language and represent it symbolically, especially when dealing with negative coefficients and negative constants.	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 31	Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 31 Topic Variable Expressions	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 32	Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 32 Topic Variable Expressions Description This example demonstrates how to convert a verbal statement into a variable expression using multiplication and addition. The statement "A total of negative fourteen and negative twenty times a number" is translated into the algebraic expression -14 + (-20x) or -20x + (-14). This example helps students understand how to interpret mathematical language and represent it symbolically, especially when dealing with negative coefficients and negative constants.	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 4	Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 4 Topic Variable Expressions Description This example illustrates the process of converting a verbal statement into a variable expression using multiplication and addition. The statement "A total of twenty and eleven times a number" is translated into the algebraic expression 20 + 11x or 11x + 20. This example helps students understand how to interpret mathematical language and represent it symbolically, while also demonstrating the commutative property of addition.	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 5	Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 5 Topic Variable Expressions Description This example demonstrates how to convert a verbal statement into a variable expression using multiplication and addition. The phrase "Twelve multiplied by a number increased by four" is translated into the algebraic expression 12x + 4. This example helps students understand how to interpret mathematical language and represent it symbolically.	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 6	Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 6 Topic Variable Expressions Description This example illustrates the process of converting a verbal statement into a variable expression using multiplication and addition. The statement "Twenty times a number plus fifteen" is translated into the algebraic expression 20x + 15. This example helps students understand how to interpret mathematical language and represent it symbolically.	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 7	Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 7 Topic Variable Expressions Description This example demonstrates how to convert a verbal statement into a variable expression using multiplication and addition. The phrase "The sum of seven and eight times more than a number" is translated into the algebraic expression 7 + 8x. This example helps students understand how to interpret mathematical language and represent it symbolically, especially when dealing with phrases like "times more than."	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 8	Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 8 Topic Variable Expressions Description This example illustrates the process of converting a verbal statement into a variable expression using multiplication and addition. The statement "A total of eighteen and two times a number" is translated into the algebraic expressions 18 + 2x or 2x + 18. This example helps students understand how to interpret mathematical language and represent it symbolically, while also demonstrating the commutative property of addition.	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 9	Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 9 Topic Variable Expressions Description This example demonstrates how to convert a verbal statement into a variable expression using multiplication and addition. The statement "Twenty multiplied by a number increased by negative fourteen" is translated into the algebraic expression 20x + (-14). This example helps students understand how to interpret mathematical language and represent it symbolically, especially when dealing with negative numbers.	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 1	Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 1 Topic Variable Expressions Description This example demonstrates the conversion of the verbal statement "Six multiplied by a number minus nineteen" into the variable expression 6x - 19. It showcases how to identify multiplication and subtraction operations within a sentence and translate them into algebraic symbols, using x as the variable for "a number".	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 10	Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 10 Topic Variable Expressions Description This example illustrates the conversion of the verbal statement "Two times a number less negative eleven" into the variable expression 2x - (-11). It demonstrates how to interpret phrases like "times" and "less" when dealing with negative numbers, and translate them into algebraic operations, using x to represent "a number".	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 11	Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 11 Topic Variable Expressions Description This example demonstrates the conversion of the verbal statement "Subtract four times more than a number from negative two" into the variable expression -4x - 2. It showcases how to interpret a more complex sentence structure involving multiplication, subtraction, and a negative number, and translate it into algebraic symbols, using x to represent "a number".	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 12	Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 12 Topic Variable Expressions Description This example illustrates the conversion of the verbal statement "Take away seventeen times a number from negative two" into the variable expression -17x - 2. It demonstrates how to interpret phrases like "take away" and "times" when dealing with negative numbers, and translate them into algebraic operations, using x to represent "a number".	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 13	Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 13 Topic Variable Expressions Description This example demonstrates the conversion of the verbal statement "Fifteen multiplied by a number minus negative five" into the variable expression 15x - (-5). It showcases how to interpret multiplication and subtraction operations within a sentence, especially when dealing with negative numbers, and translate them into algebraic symbols, using x to represent "a number".	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 14	Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 14 Topic Variable Expressions Description This example illustrates the conversion of the verbal statement "Sixteen times a number less negative fifteen" into the variable expression 16x - (-15). It demonstrates how to interpret phrases like "times" and "less" when dealing with negative numbers, and translate them into algebraic operations, using x to represent "a number".	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 15	Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 15 Topic Variable Expressions Description This example demonstrates the conversion of the verbal statement "Subtract twenty times more than a number from negative one" into the variable expression -20x - 1. It showcases how to interpret a complex sentence structure involving multiplication, subtraction, and a negative number, and translate it into algebraic symbols, using x to represent "a number".	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 16	Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 16 Topic Variable Expressions Description This example illustrates the conversion of the verbal statement "Take away eleven times a number from negative seventeen" into the variable expression -11x - 17. It demonstrates how to interpret phrases like "take away" and "times" when dealing with negative numbers, and translate them into algebraic operations, using x to represent "a number".	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 17	Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 17 Topic Variable Expressions Description This example demonstrates the conversion of the verbal statement "Negative four multiplied by a number minus sixteen" into the variable expression -4x - 16. It showcases how to interpret multiplication and subtraction operations within a sentence, especially when dealing with negative numbers, and translate them into algebraic symbols, using x to represent "a number".	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 18	Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 18 Topic Variable Expressions Description This example illustrates the conversion of the verbal statement "Negative thirteen times a number less two" into the variable expression -13x - 2. It demonstrates how to interpret phrases like "times" and "less" when dealing with negative numbers, and translate them into algebraic operations, using x to represent "a number".	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 19	Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 19 Topic Variable Expressions Description This example demonstrates the conversion of the verbal statement "Subtract negative four times more than a number from seventeen" into the variable expression 17 - (-4x), which simplifies to 4x + 17. It showcases how to interpret a complex sentence structure involving multiplication, subtraction, and negative numbers, and translate it into algebraic symbols, using x to represent "a number".	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 2	Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 2 Topic Variable Expressions Description This example illustrates the conversion of the verbal statement "Twenty times a number less fourteen" into the variable expression 20x - 14. It demonstrates how to identify multiplication and subtraction operations within a sentence and translate them into algebraic symbols, using x to represent "a number".	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 20	Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 20 Topic Variable Expressions Description This example illustrates the conversion of the verbal statement "Take away negative thirteen times a number from five" into the variable expression 5 - (-13x), which simplifies to 13x + 5. It demonstrates how to interpret phrases like "take away" and "times" when dealing with negative numbers, and translate them into algebraic operations, using x to represent "a number".	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 21	Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 21 Topic Variable Expressions Description This example demonstrates the conversion of the verbal statement "Negative twenty multiplied by a number minus twelve" into the variable expression -20x - 12. It showcases how to interpret multiplication and subtraction operations within a sentence, especially when dealing with negative numbers, and translate them into algebraic symbols, using x to represent "a number".	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 22	Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 22 Topic Variable Expressions Description This example illustrates the conversion of the verbal statement "Negative twenty times a number less twenty" into the variable expression -20x - 20. It demonstrates how to interpret phrases like "times" and "less" when dealing with negative numbers, and translate them into algebraic operations, using x to represent "a number".	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 23	Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 23 Topic Variable Expressions Description This example demonstrates the conversion of the verbal statement "Take away negative three times a number from eighteen" into the variable expression 3x + 18. It showcases how to interpret a complex sentence structure involving multiplication, subtraction, and negative numbers, and translate it into algebraic symbols, using x to represent "a number".	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 24	Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 24 Topic Variable Expressions Description This example illustrates the conversion of the verbal statement "Take away negative thirteen times a number from eleven" into the variable expression 13x + 11. It demonstrates how to interpret phrases like "take away" and "times" when dealing with negative numbers, and translate them into algebraic operations, using x to represent "a number".	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 25	Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 25 Topic Variable Expressions Description This example demonstrates the conversion of the verbal statement "Negative sixteen multiplied by a number minus negative fifteen" into the variable expression -16x - (-15). It showcases how to interpret multiplication and subtraction operations within a sentence, especially when dealing with negative numbers, and translate them into algebraic symbols, using x to represent "a number".	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 26	Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 26 Topic Variable Expressions Description This example demonstrates the conversion of the verbal statement "Negative nine times a number less negative thirteen" into the variable expression -9x - (-13). It showcases how to interpret multiplication and subtraction operations within a sentence, especially when dealing with negative numbers, and translate them into algebraic symbols, using x to represent "a number".	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 27	Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 27 Topic Variable Expressions Description This example illustrates the conversion of the verbal statement "Subtract negative nineteen times more than a number from negative five" into the variable expression 19x - 5. It demonstrates how to interpret a complex sentence structure involving multiplication, subtraction, and negative numbers, and translate it into algebraic symbols, using x to represent "a number".	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 28	Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 28 Topic Variable Expressions Description This example demonstrates the conversion of the verbal statement "Take away negative eleven times a number from negative six" into the variable expression 11x - 6. It showcases how to interpret a complex sentence structure involving multiplication, subtraction, and negative numbers, and translate it into algebraic symbols, using x to represent "a number".	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 29	Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 29 Topic Variable Expressions Description This example illustrates the conversion of the verbal statement "Negative twelve multiplied by a number minus negative eleven" into the variable expression -12x - (-11). It demonstrates how to interpret multiplication and subtraction operations within a sentence, especially when dealing with negative numbers, and translate them into algebraic symbols, using x to represent "a number".	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 3	Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 3 Topic Variable Expressions Description This example demonstrates the conversion of the verbal statement "Subtract fifteen times more than a number from twelve" into the variable expression 12 - 15x or -15x + 12. It showcases how to interpret a more complex sentence structure and translate it into algebraic symbols, using x to represent "a number".	Numerical Expressions

Illustrative Math Alignment: Grade 7 Unit 7

Expressions, Equations, and Inequalities

Lesson 23: Applications of Expressions

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