Illustrative Math Alignment: Grade 7 Unit 7

Topic

Numerical Expressions

Description

This example demonstrates how to convert the verbal statement "Four less seven" into a numerical expression. The word "less" indicates subtraction, resulting in the expression 4 - 7.

Topic

Numerical Expressions

Description

This example illustrates how to convert the verbal statement "Nine subtracted from eighteen" into a numerical expression. The phrase "subtracted from" indicates subtraction, resulting in the expression 18 - 9.

Topic

Variable Expressions

Description

This math example demonstrates how to convert a verbal statement into a variable expression involving multiplication and addition. The problem statement "Seven multiplied by a number increased by nineteen" is translated into the algebraic expression 7x + 19. This example helps students understand how to interpret mathematical language and represent it symbolically.

Topic

Variable Expressions

Description

This example illustrates the process of converting a verbal statement into a variable expression using multiplication and addition. The statement "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, particularly when dealing with negative numbers in addition.

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 negative six and thirteen times more than a number" is translated into the algebraic expression -6 + 13x. This example helps students understand how to interpret mathematical language and represent it symbolically, especially when dealing with negative numbers and phrases like "times more than."

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 negative twelve and four times a number" is translated into the algebraic expression -12 + 4x. This example helps students understand how to interpret mathematical language and represent it symbolically, particularly when dealing with negative numbers and the phrase "times a number."

Topic

Variable Expressions

Description

This example demonstrates how to convert a verbal statement into a variable expression using multiplication and addition. The statement "Fifteen multiplied by a number increased by negative eighteen" is translated into the algebraic expression 15x + (-18). This example helps students understand how to interpret mathematical language and represent it symbolically, especially when dealing with negative numbers and the phrase "increased by."

Topic

Variable Expressions

Description

This example illustrates the process of converting a verbal statement into a variable expression using multiplication and addition. The statement "Two times a number plus negative eighteen" is translated into the algebraic expression 2x + (-18). This example helps students understand how to interpret mathematical language and represent it symbolically, particularly when dealing with negative numbers and the phrase "times a number."

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 negative eight and eighteen times more than a number" is translated into the algebraic expression -8 + 18x. This example helps students understand how to interpret mathematical language and represent it symbolically, especially when dealing with negative numbers and phrases like "times more than."

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 fifteen and seventeen times a number" is translated into the algebraic expression -15 + 17x. This example helps students understand how to interpret mathematical language and represent it symbolically, especially when dealing with negative numbers and the phrase "times a number."

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 one multiplied by a number increased by six" is translated into the algebraic expression -x + 6. This example helps students understand how to interpret mathematical language and represent it symbolically, particularly when dealing with negative coefficients.

Topic

Variable Expressions

Description

This example demonstrates how to convert a verbal statement into a variable expression using multiplication and addition. The statement "Negative fourteen times a number plus fourteen" is translated into the algebraic expression -14x + 14. This example helps students understand how to interpret mathematical language and represent it symbolically, especially when dealing with negative coefficients and constant terms.

Topic

Variable Expressions

Description

This example illustrates the process of converting a verbal statement into a variable expression using multiplication and addition. The statement "The sum of nineteen and negative three times more than a number" is translated into the algebraic expression -3x + 19. This example helps students understand how to interpret mathematical language and represent it symbolically, particularly when dealing with negative coefficients and the phrase "times more than."

Topic

Variable Expressions

Description

This example illustrates the process of converting a verbal statement into a variable expression using multiplication and addition. The statement "Seventeen times a number plus two" is translated into the algebraic expression 17x + 2. This example helps students understand how to interpret mathematical language and represent it symbolically.

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 four and negative thirteen times a number" is translated into the algebraic expression -13x + 4. This example helps students understand how to interpret mathematical language and represent it symbolically, especially when dealing with negative coefficients and the phrase "times a number."

Topic

Variable Expressions

Description

This example demonstrates how to convert a verbal statement into a variable expression using multiplication and addition. The statement "Negative eight multiplied by a number increased by five" is translated into the algebraic expression -8x + 5. This example helps students understand how to interpret mathematical language and represent it symbolically, especially when dealing with negative coefficients.

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 seven times a number plus eight" is translated into the algebraic expression -7x + 8. This example helps students understand how to interpret mathematical language and represent it symbolically, particularly when dealing with negative coefficients and positive constants.

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."

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."

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.

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.

Topic

Variable Expressions

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.

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.

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.

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.

Topic

Variable Expressions

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.

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.

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.

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.

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."

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.

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.

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".

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".

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".

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".

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".

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".

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".

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".

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".

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".

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".

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".

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".

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".

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".

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".