Chapter 3 Terms Flashcards

1
Q

A term that is only a number

A

Constant

(Two Terms) 3x+2 (2 is constant)

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1
Q

Solving Equations Step 5

A

Use the Multiplication property of equality to divide both sides by the numerical coefficient of the variable to solve.

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2
Q

What is this type of equation called…

5x-2=6

A

Linear Equation in One Variable

or

First Degree Equation in One Variable

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4
Q

A Math Problem written like so…

“7+4=11” is called an ______.

A

Equation

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4
Q

The Addition Property of Equality

A

A,B, and C represent numbers

If A=B, then A+C = B+C

And A - C = B - C

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5
Q

In problem solving of equations what does “UTSIC” Stand For?

A

Understand- the Problem

Translate- Into an equation

Solve- The Equation

Interpret- The Results

Check- The Conclusion.

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6
Q

Solving Equations Step 6

A

Check the solution in the original equation

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7
Q

A Term That Contains a Non-Constant

A

A Variable

(Two Terms) 3x+2 (x is is Variable)

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8
Q

The number Factor of a term w/ a variable.

A

A Numerical Coefficient 3x (3 Is the Coefficient)

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8
Q

Solving equations step 1

A

If there are fractions present multiply both sides of the equation by the LCD of the fractions.

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9
Q

Terms that contain the SAME VARIABLE and RAISED TO THE SAME exponents are called.

A

Like Terms

3x4 & 7x4 are like terms

3x2 & 7x4 are unalike

3y4 & 7x4 are unalike

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10
Q

Solving Equations Step 3

A

Combine any like terms on each side of the equation

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12
Q

The variable or constant of an algebraic expressions

A

Terms

x+3 (Two Terms)

3y+x+6 (Three Terms)

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13
Q

Solving Equations Step 2

A

If there are Parentheses Use The Distributive Property

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15
Q

Expressions are equal to _________.

The Only difference is that expressions are not for solving.

Where as ________. are

A

Equations

Equations

Expression (x+7)

Equation(x+7= 10)

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16
Q

The SUM or DIFFERENCE of like terms can be simplified using the_________

A

Distributive Property

If A,B, and C are numbers then…

ac + bc= (a+b)c

ac - bc = (a-b)c

17
Q

Solving Equations Step 4

A

Use the addition property of equality to rewrite the equation so that variable terms are on one side of the equation, and constant terms are on the other side.

18
Q

The Multiplication Property of Equality

A

Let A,B, and C represent numbers

If C≠0 and A=B, then..

AxC = BxC

And A÷C = B÷C

19
Q

A ______ for an equation is a value for the variable that makes the equation a true statement.

A

Solution