Review for State TestReview for State Test

Fall ReviewFall Review

| 4x – 5 | < 3

x > ½ and x < and x < 22 ½ < x < 2½ < x < 2

Absval Program:Absval Program:

| Ax + B | ? C

| x + 9 | > 7

x < -16 or x > -2

Absval Program:Absval Program:

| Ax + B | ? C

| 3x - 5 | + 4 = 11

x =-2/3 or x = 4 {-2/3, 4 }

Aslope Program:Aslope Program:

-4 -4| 3x - 5 | = 7

| Ax + B | ? CLook a like?

No…then change it.

Absolute ValueAbsolute Value

ax b c ax b c

Absolute ValueAbsolute Value

ax b c ax b c

What is the equation of line going through the What is the equation of line going through the points (3,1) and (-2,-1).points (3,1) and (-2,-1).

If you are looking for an equation,

Then use ASLOPE

OPTIONS:OPTIONS:

1: TWO PTS1: TWO PTS

y = .4X + -.2y = .4X + -.2 ChangeDecimals

To Fractions

2 15 5

y x

XX11, Y, Y11 XX22, Y, Y22

Which is the equation of line that is parallel to Which is the equation of line that is parallel to line shown?line shown?

If you are looking for an equation,

Then use ASLOPE

OPTIONS:OPTIONS:

1: TWO PTS1: TWO PTS

y = -2.5X + -2y = -2.5X + -25 2

2y x

( 2,3)

(0, 2)

XX11, Y, Y11

XX22, Y, Y22

ChangeDecimals

To Fractions

2. 95

A y x 5. 3

2B y x

Which of the following equation contains the points Which of the following equation contains the points (-2, 1) and is Perpendicular to graph of y = -4x - 8?(-2, 1) and is Perpendicular to graph of y = -4x - 8?

If you are looking for an equation,

Then use ASLOPE

OPTIONS:OPTIONS:

2: SLOPE & PT2: SLOPE & PT

y = .25X + 1.5y = .25X + 1.51 34 2

y x

XX11, Y, Y11

1 1. 4 2

A y x

1. 74

B y x

ChangeDecimals

To Fractions

14

1 3. 4 2

C y x

DistanceDistanceFind the distance Find the distance

between the points between the points P(1, 2) and Q(-5, 4)P(1, 2) and Q(-5, 4) Find the distance Find the distance

between the between the points P(5, 4) and points P(5, 4) and Q(2, 1)Q(2, 1)

XX11, Y, Y11 XX22, Y, Y22

UseDISMPTSProgram

40 6.32344532

Go to Zoom

AlgebraTo

Simplify

40 2 10

183 2

A triangle is drawn with coordinates (-2, 2), (3,3), and (-3, -2). What is the perimeter to the nearest whole number?

Find Distance Between

(-2,2) & (3,3)

Find Distance Between

(3,3) & (-3,-2)

Find Distance Between

(-3,-2) & (-2,2)

5.1 + 7.8 + 4.1 = 17

MidpointMidpoint

Find the midpoint of the Find the midpoint of the line segment joining line segment joining the points (-2, 2) and the points (-2, 2) and (-8, 6)(-8, 6)

Find the midpoint of the Find the midpoint of the line segment joining line segment joining the points (-2, 4) and the points (-2, 4) and (7, -8)(7, -8)

(-5,4)

XX11, Y, Y11

XX22, Y, Y22

(2.5, -2)52

( , 2)

ChangeDecimals

To Fractions

MissEnd ProgramMissEnd ProgramM(6, -3) is the midpoint M(6, -3) is the midpoint

of RS. If S has of RS. If S has coordinates (11, 1), coordinates (11, 1), find the coordinates of find the coordinates of R.R.

M(-3, -5) is the midpoint M(-3, -5) is the midpoint of RS. If S has a of RS. If S has a coordinates (-2, 2), coordinates (-2, 2), find the coordinates of find the coordinates of R.R.

(1, -7) (-4, -12)

If 12x2 - 7x - 10 is the area of a rectangle and the length is (3x + 2). What is the width of this rectangle?

A= 12x2 - 7x - 10

2Ax Bx C 212 7 10x x

A: B: C: 12 -7 -10

5 2( ) ( )4 3x x

(4 5) x (3 2)x

(3 2)x

If 8x2 + 25 +30x is the area of a rectangle and the length is (3x + 2). What is the width of this rectangle?

A= 8x2 + 30x + 25

2Ax Bx C 28x

A: B: C: 8 30 25

5 5( ) ( )4 2x x

(4 5) x (2 5)x

(4 5)x

30x 25

Which of these is NOT factorable over the set of rational numbers?

2 2

2 2

. 6 8 . 9 20

. 10 9 . 15 24

A x x C x x

B x x D x x

Rational

Numbers are numbers

WhoseDecimalValues

EndOr

Repeat.

We looking for numbers w/decimals that don’t end or don’t repeat.

Which of these is prime over the rational number system?

2 2

2 2

. 2 9 10 . 2 12 10

. 2 5 12 . 2 5 15

A x x C x x

B x x D x x

Rational

Numbers are numbers

WhoseDecimalValues

EndOr

Repeat.

We looking for numbers w/decimals that don’t end or don’t repeat.

Find the length of the missing side.

3

4

Lori has a rectangular garden that is 18 feet wide with a diagonal that is 30 feet long. She wants to put a border of begonias around the perimeter of the garden. How big is the perimeter of the garden?

18 ft

30 ft

24 ft24 ft

18 ft

P= 18 + 18 + 24 + 24 P= 84

2 0ax bx c

Use the factor Program when question says…A)FactorB)Sides of rectangle

Use the factor Quadsolv whenquestion says…A)RootsB)SolutionsC)Zeros

{ 2,2}Roots

Sometimes You

Can’t tell exactly

Where graphCrosses the

X-axis so useThe Quadsolv

Program to find the

Exact pointsWe are trying to find where the graph crosses the X-axis

2Ax Bx C

What is the solution set to the equation shown below? 224 42 12 0x x

2Ax Bx C A: 24 B: - 42 C: - 12

ChangeDecimals

To Fractions

1{ , 2}4

RememberThese Are the

X-valuesWhere

TheGraph

CrossesThe x-axis!

Which of the lines below is perpendicular to the line 1 6

2y x

. 2 12 . 2 8A x y B x y

STANDARD PROGRAM will solve for y

Ax By C Ax By C Which one

hasA slope

Of +2

Which of the lines below is perpendicular to the line 3 2 12x y

2 3. 4 . 83 2

A y x B y x

Ax By C Solve for yTo findSlopeUsing

STANDARDPROGRAM.

Which has slopeOf -2/3?

3 62

y x

A restaurant needs to set up 7 tables for the 34 members of a high school science club. The restaurant has tables that can seat 4 and tables that can seat 6. This system of equations represents the combination of x, the number of tables for 4, and y, the number of tables for 6, that will seat exactly 34 people. x + y = 7 4x + 6y = 34How many tables that seat 6 should be set up?A 2B 3C 4D 5

Ax+By=CDx+Ey=F

Ax+By=CDx+Ey=F

Which is the y-coordinate of the solution to the system of equations shown below?

2 63 8

y xy x 1. Graph both “y=“

2. 2nd Trace3. Intersect (#5)4. Enter, Enter, Enter

Which is the y-coordinate of the solution to the system of equations shown below?

1 63

3 15

y x

x y

1. Solve for y 2. Graph both “y=“3. 2nd Trace4. Intersect (#5)5. Enter, Enter, Enter

588

y

Solve each equation for the given domainSolve each equation for the given domain

2x – 3y = 12 if the 2x – 3y = 12 if the range is range is

{-6, -4, -2, 0, 4}{-6, -4, -2, 0, 4}

xx yy

-6-6-4-4-2-20044

FIRST – Solve for “y”FIRST – Solve for “y”2 3 12x y

domain range

2x 2x3 2 12y x 3

2 43

y x

Select y= button on your calculator.Select y= button on your calculator. Type equation into line labeled “YType equation into line labeled “Y11”” Press 2Press 2ndnd then GRAPH then GRAPH Choose your answer from the appropriate Choose your answer from the appropriate

column. Use arrow keys to scroll up and column. Use arrow keys to scroll up and down to find numbers.down to find numbers.

-3-3 00 33 661122

3 3