HBUHSD Algebra 2 Honors Summer Problems

10>t>4.5

Compund inequality

(4x)•1=4x

Identity property

X=4y, 4y=12, then X=12

Transitive property

-b= -b

Reflexive property

|-3m|

absolute value

4x+6(y-5x)-3z

Algebraic expression

5a-7(a-6)= 12

equation

8(4x-1)= 32x-8

Distributive property

X= 4, then 4= x

Symmetric property

Xy= yx

Commutative property

-5+5= 0

Inverse property

9+(4+7)= (9+4)+7

Associative property

A ____ is a function of the form f(X)= b, and the slope of the function is zero.

Constant function

Two lines with slopes that are negative reciprocals of each other form right angles and therefore are ___.

Perpendicular lines

The ___ is the set of X-coordinates of the ordered pairs of a relation.

Domain

The equation of the line suggested by the points of the scatter plot is a ___.

Linear function

An ___ is a linear function described as f(X)= X.

Identity function

The ___ of a linear function is Ax+ By= C, where A, B, and C are real numbers, and A and B are both non-zero numbers.

Standard form

The set of all y-coordinates of the ordered pairs of a relation is known as the ___.

Range

A linear function described by f(X)= mx, where m does not equal 0, is known as a ___.

Continuous equation

The ___ of a line may be described in two ways: the first as a vertical change divided by horizontal change, and the second as (y2-y1) divided by (x2-X1)

slope

Two or more lines in the same plane having the same slop are known as ___.

Parallel lines

An ___ is closely related to a linear function, except that the graph of this function always forms a V-shape and is described by f(X)=|x|.

Absolute value function

Real numbers

All numbers

Rational numbers

All but repeating decimals

Irrational numbers

Pi, repeating decimals, square roots

Integer

Negatives & positive

Whole

0-... positives

Natural

1-... Positives

Slope intercept form

Y=mx+b

Mean

Add all and divide by how many

Mode

Most

Median

Middle

Box and whisker

Lowest -> median of median and lowest, median, median of median and highest, highest

9÷6(5-8)+4

-0.5

(3•2)²-3•2³+(5+3)²

76

(3+7)²-16÷2

92

-7+[28÷(18-7(2))]

0

2x²y²z²/(x-y+z)² for x=5, y=4, and z=1

200

4-12

-8 (integer, rational, real)

2³+10

18 (natural, whole, integer, rational, real)

42/8

5.25 (rational real)

2π(8.75)

54.911877871438(irrational, real)

√2+3

√5 (irrational real)

-20÷2²

-5 (integer, real, rational)

4y-1/10=3y+4/5

9/10

x/3+x/2=3/4

9/10

4-2(1-w)=-38

-20

C=5/9 • (F-32) for F

F=9/5C+32

3a²-1/2b=c for b

b=3a²-1/2c

S=2πrh for r

r=s/2πh

A=p+prt for t

t= A-p/pr

point slope form

y - y₁ = m(x - x₁)

how to find slope

m = (y₂ - y₁) / (x₂ - x₁)

absolute value translations

y=a|x-h|+k