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Q: How can properties of operations help to generate equivalent expressions that can be used in solving problems?
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How do you use variable and expressions to solve problems?

Write and evaluate numerical expressions involving whole-number exponents.Write, read, and evaluate expressions in which letters stand for numbers.Apply the properties of operations to generate equivalent expressions.Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them).Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true.Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams.Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. For example, in a problem involving motion at constant speed, list and graph ordered pairs of distances and times, and write the equation d = 65t to represent the relationship between distance and time.Helpful?


Could you generate a complete set of 6 number combinations from 45 numbers?

Could you generate a complete set of 6 number combinations from 45 numbers ?


How do you generate polite numbers?

In my experience there are no impolite numbers


Write a c program to accept a numbers and generate square root cube and exponential values?

write a c program to accept a number and generate a square root cube and exponential values


How does algebra relate to science?

Algebra is a branch of mathematics that uses exclusively symbols in equations or expressions. Normally no numeric value is assigned to each symbol, so that the relations expressed can be generally applied. The famous equations are all expressed in symbols. For example, Einstein's energy equation of E = mc2,where c is the speed of light. Why assign a value to E, or m and limit the usefulness of the equation. If we assign c = 3E8 m/s, then we need to keep track of the number and the unit that goes with c: namely m and s. After combining a few of this kind of expressions and generate new ones, the physical meaning may be lost. Carry the symbols as long as you can until you need a numerical answer is so much more elegant.

Related questions

How can you generate equivalent expressions using exponents?

The answer depends on what the starting expression is. It is not easy to generate an equivalent expression for trigonometric functions, for example, without using an infinite series of exponents.


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Binary counters are used in simple timing operations. They can generate clock signals among many other less than complex operations.


How can you generate equivalent fractions by using set models?

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What are two equivalent fractions for 14 and 42?

140/420 and 1400/4200 are two simple ones to generate.


How do you use variable and expressions to solve problems?

Write and evaluate numerical expressions involving whole-number exponents.Write, read, and evaluate expressions in which letters stand for numbers.Apply the properties of operations to generate equivalent expressions.Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them).Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true.Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams.Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. For example, in a problem involving motion at constant speed, list and graph ordered pairs of distances and times, and write the equation d = 65t to represent the relationship between distance and time.Helpful?


The first attempts at industry depended on what source of energy?

The earliest industries used heat/thermal energy to run their operations by burning feul or coal to generate the heat energy.


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How propellers work in engineering?

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What is the function of piezoelectric crystal?

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