Algebra

Question 1

What is a variable?

Answer 1

missing number

Question 2

What are like terms?

Answer 2

two different equations with the same variables

Question 3

2x+5x=

Answer 3

7x

Question 4

3xy+2x-xy-3x=

Answer 4

2xy-x

Question 5

4x+12=

Answer 5

4(x+3)

Question 6

15y^2-9y=

Answer 6

3y(5y^2-3)

Question 7

Solving Operations with Algebraic Expressions

Answer 7

factor numerator and denominator (remove like terms)

Question 8

x^-a=

Answer 8

1/x^a

Question 9

(x^a)(x^b)=

Answer 9

x^a+b

Question 10

x^a / x^b =

Answer 10

x^a-b or 1 / x^b-a

Question 11

x^0=

Answer 11

1

Question 12

(x^a)(y^a)=

Answer 12

(xy)^a

Question 13

(x/y)^a=

Answer 13

x^a / y^a

Question 14

(x^a)^b=

Answer 14

x^ab

Question 15

When the same constant is ______ to or ______ from both sides of the equation, the equality is preserved and the new equation is _______ to the original equation.

Answer 15

added
subtracted
equivalent

Question 16

when both sides are ______ or _______ by the same nonzero constant, the equality is _______ and the new equation is _______ to the original equation.

Answer 16

multiplied
divided
preserved
equivalent

Question 17

when an expression that occurs in an equation is _____ by an __________ expression, the equality is preserved and the new equation is equivalent to the original equation.

Answer 17

replaced

equivalent

Question 18

What is a linear equation?

Answer 18

an equation involving one or more variables where each term is either a constant term or a variable multiplied by a coefficient.

Question 19

To solve a linear equation in one variable

Answer 19

1) find simpler equivalent equations

2) combine like terms & apply the rules

Question 20

linear equation formula

Answer 20

ax+by=c

Question 21

quadratic equation

Answer 21

ax^2+bx+c=0

Question 22

The quadratic formula

Answer 22

x= (-b plus or minus square root of b^2-4ac) / 2a

Question 23

Solving quadratic equations by factoring

Answer 23

removing like terms