Algebra II Quarter 1 exam

Question 1

whole numbers

Answer 1

numbers such as 0,1,2,3….

Question 2

integers

Answer 2

…. -3,-2,-1,0,1,2,3….

Question 3

rational numbers

Answer 3

numbers that can be written as the ratio of two integers, can terminate or repeat when written as decimals

Question 4

irrational numbers

Answer 4

numbers that CANNOT terminate or repeat

Question 5

graph

Answer 5

the point on a real number line that corresponds to the number

Question 6

origin

Answer 6

(0,0)

Question 7

coordinate

Answer 7

the number that corresponds to a point on a number line

Question 8

opposite

Answer 8

aka additive inverse of any number (4= -4)

Question 9

reciprocal

Answer 9

aka multiplicative inverse, 1/a of any nonzero number (a = 1/a)

Question 10

closure property of addition

Answer 10

a + b is a real number

Question 11

closure property of multiplication

Answer 11

ab is a real number

Question 12

commutative property of additon

Answer 12

a + b = b + a

Question 13

commutative prop of mulitplication

Answer 13

ab = ba

Question 14

associative prop of add

Answer 14

(a+b) + c= a + (b+c)

Question 15

associative prop of mult

Answer 15

(ab)c = a(bc)

Question 16

identity prop of add

Answer 16

a + o =a, o+a= a

Question 17

identity prop of mult

Answer 17

a x 1 = a, 1xa= a

Question 18

inverse prop of add

Answer 18

a + (-a) = 0

Question 19

inverse prop of mult

Answer 19

a x 1/a = 1

Question 20

Variable

Answer 20

A letter used to represent one or more numbers

Question 20

Variable

Answer 20

A letter used to represent one or more numbers

Question 21

Algebraic expression

Answer 21

An expression involving variables

Question 22

Like terms

Answer 22

Expressions that have the same variable parts

Question 23

Constant terms

Answer 23

Like terms such as -4 and 2

Question 24

Base (of an exponent)

Answer 24

The number that is used as a factor in repeated multiplication

Question 25

Exponent

Answer 25

The number or variable that represents the number of times the base is used as a factor

Question 26

Power

Answer 26

The result of a repeated multiplication

Question 27

Value of the variable

Answer 27

Any number used to replace a variable

Question 28

Value of the expression

Answer 28

The result of when the variables in an alg expression are replaced by numbers

Question 29

Terms

Answer 29

Parts that are ADDED in an expression

Question 30

Coefficient

Answer 30

The number multiplied by a variable in a term

Question 31

Equation

Answer 31

A statement in which two expressions are equal

Question 32

Linear equation

Answer 32

An expression that can be written in the form ax=b where a & b are constants

Question 33

Solution

Answer 33

When a number is substituted for the variable that makes the statement true

Question 34

Equivalent

Answer 34

When two equations have the same solutions

Question 35

Method 1 of rewriting equations

Answer 35

1. Substitute first | 2. Solve for y

Question 36

2nd method of rewriting equations

Answer 36

1. Solve for y | 2. Substitute

Question 37

Linear equalities

Answer 37

X is < or equal to 1 2n - 3> 9

Question 38

Solution of a linear inequality

Answer 38

A value of the variable that makes the inequality true

Question 39

Compound inequality

Answer 39

Two simple inequalities joined

Question 40

Absolute value

Answer 40

The distance a number is from 0 on a number Line

Question 41

5 step word problem solving process

Answer 41

1. Verbal models and label 2. Equation 3. Work (solve) 4. Answer sentence 5. Check

Question 42

Distance formula

Answer 42

D= rate X time

Question 43

Round trip | Distance formula

Answer 43

Distance going= distance back

Question 44

Opposite direction | Distance formula

Answer 44

Total distance= dist a + dist b

Question 45

Chasing (regular) | Distance formula

Answer 45

Distance of a = distance of b

Question 46

Chasing (varied) | Distance formula

Answer 46

Dist a= dis b + initial

Question 47

Relations

Answer 47

A mapping, or pairing, of input values w output values

Question 48

Functions

Answer 48

One output for every input

Question 49

X coordinate

Answer 49

First number in an ordered pair

Question 50

Y coordinate

Answer 50

2nd number in an ordered Pair

Question 51

Coordinate plane

Answer 51

Formed by two real number lines that intersect at a right angle

Question 52

Quadrant

Answer 52

One of the four parts into which the axes divide in a coordinate plane

Question 53

X axis

Answer 53

Horizontal axis

Question 54

Y axis

Answer 54

Vertical axis

Question 55

Independent variable

Answer 55

Input (domain)

Question 56

Dependent variable

Answer 56

Output (range)

Question 57

Slope

Answer 57

The ratio of the vertical change (the rise, y value) to the horizontal change (the run, x value)

Question 58

Parallel lines

Answer 58

When lines intersect and have the same slope

Question 59

Perpendicular lines

Answer 59

When lines intersect to form a right angle. Negative reciprocals.

Question 60

Slope intercept form

Answer 60

Y = mX + b

Question 61

Standard form

Answer 61

Ax + By = C

Question 62

Y intercept

Answer 62

The y coordinate of The point where the graph crosses the y axis and is found by letting x =0 and solving for y

Question 63

X intercept

Answer 63

X coordinate of the point where the graph crosses the x axis and is found by letting y=0 and solving for x

Question 64

Linear inequality

Answer 64

``` When two variables can be written in one of the following forms: Ax+ By < C Ax + By " " > or equal to " ```

Question 65

Graph

Answer 65

Graph of all solutions of the inequality

Question 66

Half planes

Answer 66

A shaded region containing the points that are the solutions of the inequality, and an unshaded region which contains the points that are not

Question 67

Steps for graphing inequalities

Answer 67

1. write inequality as an equation and graph (use line as boundary line) 2. Solid or dashed line 3. Use a test point (0,0), and plug into inequality 4. If true, shade all area on the test point side of the boundary line. If untrue, shade area in opposite side of test point

Question 68

Absolute value function

Answer 68

y= a |x- h| +k

Question 69

Vertex

Answer 69

Occurs at the point (h,k) in an absolute value function the is the line of symmetry (x=h)