math finals!! (all chapters)

graph the equation using the intercepts method: 8x - 10y= 40

check with people around you (im so sorry i cant put photos in)

6p+27 (over) 18p^2 + 36p ÷ 16p + 72/2p+4

1/24p

simplify (√6 - 4)^2

-8√6 + 22

3√3 - √27

0

solve using the quadratic formula: 8n^2 + 7n -15 = -7

0.65 or -1.53

8.9 • 10^6 over 8.4 • 10^6

1.06 • 10^0

is this sequence geometric or arithmetic? -4, 1, 6, 11

arithmetic

solve by factoring: b^2 + 5b - 35 = 3b

b= -7 or b = 5

solve by factoring: 10b^2 = 27b - 18

b= 6/5 or b= 3/2

graphing inequalities: y≥x^2-6x+13

check with desmos

y≥-2x^2

check with others (im so sorry omg)

solve by graphing: 4x+ y < 2 and y> -2

check with peers, its on the left side though

A new iPhone is estimated to lose 25% of its value every six months after its purchase. How much is the value of an iPhone that costs $799 after someone has owned it for 2 years

$252.81

Solve by substitution: -4x + y = 6 and -5x - y = 21

(-3,-6)

1/2x + 1/3y = -4; 1/5x + 1/5y = -2 (solve using elimination)

(-4,-6)

solve by elimination: 5x +y =9 and 10x - 7y = -18

(1,4)

Solve by substitution: y=5x - 7 and -3x - 2y = -12

(2,3)

Solve each system by graphing; y= -5/3x + 3 and y= 1/3x - 3

(3,-2)

solve each system by graphing; y= -1/2x - 2 and y=-3/2x + 2

(4,-4)

solve by graphing: y> -x -2 and y < -5x + 2

check with peers, its kind of in the upper left quadrant though

factor: 16b^2-40b+25

(4b-5)^2

factor by grouping: 28xy + 25 + 35x + 20y

(4y + 5) (7x + 5)

solve by elimination: -4x-2y= -12 and 4x + 8y = -24

(6,-6)

factor completely: a^2 + 11a + 18

(a+9)(a+2)

n^4 - 49

(n^2 + 7)(n^2 - 7)

(14p^4 + 11p^2 - 9p^5) - (-14 + 5p^5 - 11p^2)

-14p^5 + 14p^4 + 22p^2 - 14

√200m^4n

10m^2√2n

8x^3y^-5 (over) 2(4x)^-1 y^2

16x^4/y^7

18/√5

18√5/5

what is the 11th term of the geometric sequence: -2, 10, -50, 250

19,531,250

find the 25th term; 0.7, 1.5, 2.3, 3.1

19.9

-9√15 + 10√15

1√15

-√12 + 3√3

1√3

(√5 - √3)(√5+√3)

2

(5n+6)(5n-5)

25n^2 + 5n -30

simplify in standard form then classify using degree and # of terms: (7x^2 + 3)(4x^2 - 2x - 1)

28x^4 - 14x^3 + 5x^2 -6x -3 (quartic polynomial with 5 terms)

simplify: √28x^3 y^3 (they are all under the radical i promise)

2xy√7xy

√12 • √10

2√30

factor: 9k^2 + 66k +21

3(3k+1)(k+7)

factor by grouping: 63n^3 + 54n^2 - 105n - 90

3(3n^2 - 5)(7n+6)

(3.48 • 10^3)(9.8 • 10^4)

3.4104 • 10^8

Your teacher is giving you a test worth 100 points containing 40 questions. There are two-point and four-point questions on the test. How many of each type of question are on the test? write a system of equations and solve

30 two point, 10 four point

what is the y-intercept for the line x+2y=8

4

A grandmother wants to spend at least $40 but no more than $60 on school clothes for her grandson. Shirts sell for $6 and pants sell for $9. How many shirts and pants could she buy? (write a system of two inequalities and write two possible solutions)

40≥ 6s + 9p; 6s + 9p ≤ 60 and answers may vary

(6n^2 - 6n -5)(7n^2 +6n - 5)

42n^4 + 6n^3 + 101n^2 + 25 (the 101 could be wrong im sorry my handwriting was illegible)

(2r^3/s)^2 (s/r^3)^3

4s/r^3

√5 + 2√2 (over) 4√5 + 3√2

4√5 + 5 + 8√2 + 2√10 (over) 11

a right triangle has the angles ABC, where angle C is right. The length of AB is 7, and angle B is 42°, find the value of BC and AC (round to the nearest hundredth)

5.20 and 4.68

solve using the quadratic formula: 2x^2 + 3x - 20 = 0

5/2 or 4

factor: 6v^2 + 66v + 60

6(v+10)(v+1)

√125a + √5a - √9b

6√5a - 3√b

(7k-3)(k^2 - 2k +7)

7k^3 - 17k^2 + 55k - 21

(7k-3)(k^2 -2k +7)

7k^3 - 17k^2 + 55k -21

-2√3 + 3√27

7√3

2/7 ÷ 18/8x^2

8x^2/63

a-4 (over) a^2 -2a -8 ÷ 1/a-5

a-5/a+2

suppose the acreage of a forest is decreasing by 2% per year because of development. If there are currently (in 2022) 4,500,000 acres of forest, determine the amount of forest land in 2035

about 3,460,601 acres

An adult takes 400 mg of ibuprofen. Each hour, the amount of ibuprofen in the person's system decreases by about 29%. How much ibuprofen is left after 6 hours?

about 72.17 mg

solve 2(x+7) - 4 = 5(x+2) -3x

all real numbers

sketch a graph of a parabola with a negative leading coefficient whose discriminant equals 0

answers will vary

for the first 10 minutes you walk from home to a park, for the next 5 minutes you watch a baseball game in the park, for the last 5 minutes you run to your friend's house. sketch and label a graph showing your distance from home during your trip

check with people, CHECK FOR LENGTH OF SECTIONS!! AND STEEPNESS!!

find the common ratio for these geometric sequences and write the explicit formula: 100, 50, 25, 12.5

common ratio = 1/2 formula= a(sub)n = 100 • (1/2)^n-1

a rate of change must be positive, true or false?

false, a rate of change only has to be consistent

At a restaurant four people order fried crab claws and four people order a cup of gumbo, with a total bill of $31. If only two people had ordered the crab claws and one person ordered the gumbo, the bill would have been $12.25. How much is each order of fried crab claws and each cup of gumbo?

gumbo= $3.25 crab claws = $4.5

solve by factoring :35k^2 - 22k + 7 = 4

k= 1/5 or k = 3/7

if a line is totally horizontal what is the slope?

m=0

find the slope of a line passing through (-3,-2) and (4,5)

m=1

solve by completing the square: 2n^2 + 12n +10 = 0

n = -5 or n= -1

√n+9 = 1

n = -8

24a - 22 = -4(1-6a)

no solution

if a line is totally vertical what is the slope

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solve by completing the square: 4v^2 +16v = 65

v = 2.5 or v = -6.5

-10√v-10 = -60

v=46

A canoeist travels 30 miles downstream in three hours. Against the current the return trip took 15 hours. Find the rate of the canoeist in calm water and the rate of the current.

with the current 6mph and rate of the current 4mph

√x = 10

x = 100

multiply: x^2 - 25 (over) x^2 -4x ÷ x^2 + x -20 (over) x^2 + 10x + 25

x-5/x

10x^2 - 28x +16 (over) 2x-4 ÷ 25x^2 -25x + 4 (over) 5x^2 - 41x + 8

x-8

144 = -12(x+5)

x= -17

(x^3 + 5x^2 -32x -7) ÷ (x-4)

x^2 + 9x + 4 + 9 x/−4

write an equation for a line that is perpendicular to the given line and passes through the given point; y=-6x-2, (0,-12)

y = 1/6x -12

write in point slope form: m=3; (-2,5)

y-5 = 3(x+2)

graph and label axis of symmetry, vertex, and y-intercept; y= x^2 - 4x -4

y=4, axis of sym=2, vertex = (2,-8)

adding polynomials: (-7x^5+14-2x) + (10x^4+7x+5x^5

−2x^5 + 10x ^4 + 5x + 14

adding polynomials: (y^3 − 7x^4 y ^4 ) + (−10x^4 y^3 + 6y^3 + 4x ^4 y^ 4 ) − (x^ 4 y ^3 + 6x^ 4 y^ 4 )

−9x^4 y^4 − 11x^4 y^3 + 7y^3

(y^3 - 7x^4y^4) + (-10x^4 + 6y^3 + 4x^4y^4) - (x^4y^3 + 6x^4y^4)

−9x^4y^4 − 11x^4y^3 + 7y^3