Math Final

-3x+y=-17 2x+y=8

(5,-2)

Find the midpoint between the points (0,1) and (5,-7) .

(5/2,-3)

25w²-36

(5w+6)(5w-6)

Solve the following system of equations graphically: -10x=-60 x-14y=34

(6,-2)

Factor the expression b²+2b-48. Simplify your answer as much as possible, but do not combine like factors.

(b-6)(b+8)

q²+14q+49

(q+7)(q+7)

x²-25

(x+5)(x-5)

Factor the expression x²-23+132. Simplify your answer as much as possible, but do not combine like factors.

(x-12)(x-11)

Factor 2x(x-3)+5(x-3)

(x-3)(2x+5)

Find the following product and express the answer in standard form of a complex number. (2+4i)²

-12+16i

(3a²)(-4a‐⁵)

-12/a³

(1+9i)-(15-2i)

-14+11i

-7/18+4/48+5/108

-21/2+46/3

(7-6i)(-6+3i)

-24+57i

-22.06=0.7x-1.1

-29

Which of the following are integers? There may be more than one correct answer. A. 85294 B. 0 C. -6 D. -97087 . E. PIE F.-1/60 G. 4.1010010001000001... H. 7.846 Repeating

A, B, C, D

77/8505

Quotient: 110 Remainder: 35

56/9063

Quotient: 161 Remainder: 47

52/9009

Quotient: 173 Remainder: 13

-4<1-x<4

(-3,5) 5<X<-3

5x+1>7x+5

(-inf., -2) X>-2

-2(3x+1)>-3(x+7)

(-inf., 19/3) X<19/3

f(x)=3/×-7

(-inf., 7)U(inf., 7)

f(x)=9x+10

(-inf., inf)

5-4x>5

(-inf.,0) X>0

Find the x and y intercepts of 4x-3y=12

(0,-4) (3,0)

x-intercept of f(x)=0.7x-11

(15.7143,0)

(-6-3i)+(2+5i)

-4+2i

Evaluate the expression (-8-5i)(8+i) and write the result in the form a+bi.

-59-48i

18x‐¹y¹⁰/-3x‐⁶y‐⁴

-6x⁵y¹⁴

i³⁵

-i

0(-8)

0

Slope parallel to y=3

0

Write the following as decimal numbers without using a calculator 1÷10 1÷100 1÷1000

0.1 0.01 0.001

⅞

0.875

y+z y=6 z=5

11

-2(-2)(3)

12

xyz x=4 y=6 z=5

120

Round the following numbers to the nearest ten. 161194 161197

161190 161200

f(2)=5x^2-2x+1

17

Factor the given polynomial 2t+2

2(t+1)

Factor the expression 2z²+12z-14. Simplify your answer as much as possible, but do not combine like factors.

2(z-1)(z+7)

Find the distance between the points (-3,3) and (3,5).

2/10

(27/8)‐⅓

2/3

2^-4+7^-1

23/112

16+15×2

26

/4y²

2IyI

The factors of 261

3, 3 , 29

6/x+40/x+5=7

3,-10/7

Find the distance: (-1,1) (8,7)

3/13

/108x⁹//4p⁴

3/3/x⁹//p⁴

Find the following quotient and express the answer in standard form of a complex number. 4-7i/4-3i

37/25-16/25i

6-5i/4-3i

39-2i/25

f(1)=5x^2-2x+1

4

2z-5 z=5

5

Use the order of operations to simplify: 2(-1)-4(-2) 2(-2)^2-3(-3)^2

6 -19

Find the distance: (-2,5) (4,-1)

6/2

2x²-5x-7=0

7/2,-1

f(4)=5x^2-2x+1

73

7/10x²+8x/40-8x/160

7IxI/10-16x/10

f(18.2)=0.7x-11

87/50

Factor the given polynomial 8xy+8y

8y(x+1)

(4x⁴y⁵/2x⁵y‐³)³

8y²⁴/x³

x+5 x=4

9

x²×x⁶=x^n n=

9

A: (-3,-1) QIII B: (3,-3) QIV C: (-4,3) QII D: (1,3) QI E: (-1,-2) QIII

Determine the point corresponding to each letter and also state where the point is located:

No

Is this a function?

A concert venue sold 1900 tickets one evening. Tickets cost $35.00 for a covered pavilion seat and $25.00 for a lawn seat. Total receipts were $55,750.00. How many of each type of ticket were sold?

Lawn tickets: 1075 Pavilion tickets: 825 ​

Is x+9=y^2 a function?

No

Identify the points shown on the given number line. Separate your answers by commas.

Points in order from low to high = -14, 0, 2, 14, 16

What quadrant is (-7,5) in?

Quadrant 2

If (x,y) is a point in quadrant III, in what quadrant is the point (-y,x)?

Quadrant 4

What quadrant is (3,-5) in?

Quadrant 4

Evaluate the expression (6-6i)+(-4,7i) and write the result in the form a+bi.

The real number a equals: 2 The real number b equals: 1

Slope of (4,2) (4,8)

Undefined

Solve the equation x²-2x-15=0 by factoring.

X1=-3 X2=5

4(x-3)+12=15-5(x+6)

X=-5/3

x/x-3=5/x-3-1/2

X=13/3 3

Solve and state the excluded values 3/x-6=5/x

X=15 6 and 0

2x+7=19

X=6

x²-3x-18=0

X=6 X=-3

Is x^2+5y=10 a function

Yes

y-intercept of y=-2x+4

b=4

Find the midpoints of (0,-9) and (-6,-7)

m=(-3,-8)

Find the midpoints of (-13,5) and (17,18)

m=(2,23/2)

Slope of y=-2x+4

m=-2

Slope of (-7,-1) (-5,-1)

m=0

Slope of (-3,3) (0,4)

m=1/3

Slope of (-5,-8) (-8,-6)

m=2/3

(9b)½(2b¼) nbr

n= 6 r=¾

⁶/t³ ⁶/t²⁷

t⁵

Solve the system using elimination -4x-7y=90 3x-8y=65

x=-5 y=-10

(3,2) parallel to y=-2/5x+9

y=-2/5x+16/5

2x+y=4

y=-2x+4

Slope of -5 that passes through (-3,7)

y=-5x-8

M=3/11 and y=(0,8)

y=3/11x+8

Equation of (4/3,2) (-5,-1)

y=9/19x+26/19