Algebra Like Terms and Evaluating Expressions

Combining two or more like terms simplifies an expression by summing constants and summing those variable terms in which the same variables are raised to the same power.  For example, ___ ___ ____ in the expression 3x+7+5x−3+2x2+3y2 gives 8x+4+2x2+3y2.  When working with algebra tiles, ___ ___ ___ involves putting together tiles with the same dimensions.

• Combining Like Terms

• Combining Like Expressions

• Omitting Negative Numbers

• Substituting Even Numbers

A number multiplying a variable or product of variables.  For example, −7 is the _____ of −7xy2. * The 2 is y squared.

• Term

• Variable

• Coefficient

• Expression

 In an _____ ______, if each of the following terms, 6xy2, 24, and y−34+x, are combined, the result may be 6xy2+24−y−34+ x.  It does not have an “equals” sign.

• Equation

• Algebraic Expression

• Expression

• Unit Squared

A symbol used to represent one or more numbers. In this course, letters of the English alphabet are used as ____. For example, in the expression 3x−(8.6xy+z), the ____ are x, y, and z.

• Exponents

• Negative Integers

• Positive Integers

• Variables

A number that is not multiplied by a variable.  In the expression 2x+3(5−2x)+8, the number 8 is a ____ term.  The number 3 is not a ____ term, because it is multiplied by a variable inside the parentheses.  

• Equivalent

• Ratio

• Negative

• Constant

To find the numerical value of.  To ____ an expression, substitute the value(s) given for the variable(s) and perform the operations according to the Order of Operations.  For example, _____ 2x+y−10 when x=4 and y=3 gives the value 1.

• Analyze

• Question

• Evaluate

• Simplify

To ____ an expression is to write a less complicated expression with the same value.  A ____ expression has no parentheses and no like terms.  For example, the expression 3−(2x+7)−4x may be ____ to −4−6x.  When working with algebra tiles, a ____ expression uses the fewest possible tiles to represent the original expression.

• Simplify

• Solve

• Answer

• Reduce

Two expressions are ____ if they have the same value.  For example, 2+3 is _____ to 1+4. 

• Simplified

• Untrue

• Opposite

• Equivalent

The numerical factor of a term that contains a variable

• Expression

• Equation

• Variable

• Coefficient