Algerbra

Question 1

Variable

Answer 1

A Letter used to represent a number

Question 2

Substituting Values:

How do you solve an equation using substituing values?

Answer 2

Replace each letter in the equation with its given value

Example: 4x+2y

If x= 2

y= 3

=4(2)+2(3)

=8+6

=14

Question 3

Binomial

Answer 3

An algebraic expression that contains two terms.

Question 4

Constant

Answer 4

A term that contains only a number and no variables.

Question 5

Like Terms

Answer 5

Algebraic terms with the same exponent

Question 6

Monomial

Answer 6

An algebraic expression that has only one term.

Question 7

Polynomial

Answer 7

Another Name for an algebraic expression

Question 8

Trinomial

Answer 8

An algebraic expression that contains three terms.

Question 9

Un-like Terms

Answer 9

Algebraic terms that have different variables or the same variable with different exponents.

Question 10

Term

Answer 10

A part of an equation that consists of a coeffcient and a variable

Question 11

Degree of Term

Answer 11

The sum of all the exponents in a term.

*Variables with no exponent=1*

Question 12

Degree of Polynomial

Answer 12

Degree of the largest term.

Question 13

Adding Polynomials:

What steps do you take when adding Polynomials?

Answer 13

1) Apply integer rules to remove the brackets
2) Group Like Terms
3) Solve the equation

Example: (3x+5) + (2x+8)

=3x+5+2x+8

=3x+2x+5+8

=5x+13

Question 14

Subtracting Polynomials:

What steps do you take when subtracting polynomials?

Answer 14

Step 1) Drop the subtraction sign

Step 2) Change all of the signs to the opposite in the brackets that follow

Question 15

Multiplying Monomials:

What steps to you take when multiplying monomials?

Answer 15

Step 1) Multiply Coefficients

Step 2) Add exponents on like variables

Example: 2 (3a⁴)

=6a⁴

Question 16

What is Distributive Property?

Answer 16

A method used when multiplying monomials and polynomials. You Multiply everything outside of the brackets by what is inside the brackets.

Example: 5 (3x-2)

=15x-10

Question 17

Solving Two-Step Equations:

How do you solve a two-step equation?

Answer 17

Start with what is “less attatched to the variable”

Example: 8+ 2s=26

2s=26-8

2s/2=18/2

s=9

Question 18

Solving Three-Step Equations:

How do you solve a three-step equation?

Answer 18

Expand the brackets, simplify and then isolate the variable

Example: 20= 2(3x+4)

20= 6x+8

20-8=6x

12/6-6x/6

x=2

Question 19

Solving Equations With Fractions:

How do you solve equations with fractions?

Answer 19

Multiply the numerator by the same number as the denominator to get the variable on its own. Do the same on the other side of the equal sign.

Example: ³x/3 =5³

x=15

Question 20

Reveiw The *Important* Sheet To review equations with fractions

Question 21

Review “Translating From English To Math”