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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.
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How do you use variables to help solve math questions?
You use variable in math problems to help you solve the answer. For example, you could do 50+50=a. The (a) would be the variable. Or for that same problem you could do 50+y=100. Then the (y) would be the variable.
How do use substitution when solving system of equations?
You use substitution when you can solve for one variable in terms of the others. By substituting, you remove one variable from the equation, which can then be solved. Once you solve for one variable, you can use substitution to find the other.
How do you use substitution to solve equations?
You plug in what the variable is equal to for that variable then you will be able to finish the problem
Problems in algebraic expressions?
x+x use inverse operations
How are equivalent expressions used?
You can use them to find a variable. Lets say you have two equivalent expressions with the same variable... x + 2x - 42 = 0 2x - 28 = 0 If you combine these equivalent expressions you ahve... x + 2x - 42 = 2x - 28 In all of the expressions you have x = 7 There are also other applications but its confusing to explain.
What is an advantage to using equations?
When given two names (variable expressions) for the same quantity, you can use algebra to solve the equation.
What is an advantage to using what equations?
When given two names (variable expressions) for the same quantity, you can use algebra to solve the equation.
How do you use variables to help solve math questions?
You use variable in math problems to help you solve the answer. For example, you could do 50+50=a. The (a) would be the variable. Or for that same problem you could do 50+y=100. Then the (y) would be the variable.
How do you solve word problems using variables?
Use a variable to represent the unknown. 'Translate' the words to math symbols and write an equation to solve. Solve the equation. Check.
What do you use to solve for the unknown variable?
Equations are used to find the solution to the unknown variable.
How do use substitution when solving system of equations?
You use substitution when you can solve for one variable in terms of the others. By substituting, you remove one variable from the equation, which can then be solved. Once you solve for one variable, you can use substitution to find the other.
How do you use substitution to solve equations?
You plug in what the variable is equal to for that variable then you will be able to finish the problem
To solve a three variable system of equations you can use a combination of the elimination and substitution methods?
True. To solve a three variable system of equations you can use a combination of the elimination and substitution methods.
Why do you use pi?
to solve problems
Problems in algebraic expressions?
x+x use inverse operations
How are equivalent expressions used?
You can use them to find a variable. Lets say you have two equivalent expressions with the same variable... x + 2x - 42 = 0 2x - 28 = 0 If you combine these equivalent expressions you ahve... x + 2x - 42 = 2x - 28 In all of the expressions you have x = 7 There are also other applications but its confusing to explain.
How can you factor each expression?
Some expressions can't be factorised, and you have to use other methods to solve the equation.
