Algebra 2 Quality Core

Descrição

Algebra 2 practice Final Test
Niat Habtemariam
Quiz por Niat Habtemariam, atualizado more than 1 year ago
Niat Habtemariam
Criado por Niat Habtemariam quase 11 anos atrás
1181
16

Resumo de Recurso

Questão 1

Questão
Iman starts with $1 on Day 1 and then doubles her money everyday thereafter. On which day will she first have more than $10,000?
Responda
  • Day 15
  • Day 14
  • Day 10
  • Day 6

Questão 2

Questão
Kickball games last a maximum of 50 minutes and ties are allowed. However, there is a "mercy" rule. A game will end if at least 40 minutes have passed and one team is ahead by at least 10 points. If "t" is time, in minutes and "d" is the difference of points what compound describes the "mercy" rule?
Responda
  • t ≥ 10 and d ≥ 10
  • 40 ≤ t < 60 and d ≥ 10
  • t ≤ 40 or d ≥ 10
  • 40 ≥ t < 60 or d ≥ 10

Questão 3

Questão
Find the solution set of | X - 2 | <6
Responda
  • { x | -8 < x < 4 }
  • { x | -4 < x < 8 }
  • { x | x < 4 }
  • { x | x < 8 }

Questão 4

Questão
What is the solution set to the inequality | 3x - 2 | < 7?
Responda
  • { x | -5/3 < x < 3 }
  • { x | -3 < x < 5/3 }
  • { x | x > 3 or x < -5/3 }
  • { x | x > 5/3 or x < -3 }

Questão 5

Questão
What is the complex conjagate of 7 + √-8
Responda
  • 7+ 4i√2
  • 7- 4i √2
  • 7+ 2i√2
  • 7- 2i√2

Questão 6

Questão
What is the complex conjugate of .5 - 2i ?
Responda
  • 2- 2i
  • 2- .5i
  • .5i - 2
  • .5 + 2i

Questão 7

Questão
Which equation has the same range as y = (x+3)² ?
Responda
  • y= (x + 3)²
  • y= x² + 9
  • y= 2 (x - 3)² + 1
  • y= (x - 5)²

Questão 8

Questão
Evaluate this function for x = -3 f(x) = 4x³ -5x² + 2x -4
Responda
  • -163
  • -151
  • -73
  • 53

Questão 9

Questão
Find the 100th term of this arithmetic sequence: 5, 8, 11, 14, 17...
Responda
  • 302
  • 305
  • 308
  • 311

Questão 10

Questão
Which system of inequalities describes this graph?

Questão 11

Questão
On the first of every month, a new library receives a new shipment of 575 book titles. If the library starts the beginning of the first year with 3,000 book titles and does receive a shipment that month, how many book titles will it have at the end of 3 years?
Responda
  • 42,900
  • 23,700
  • 5,363
  • 4,150

Questão 12

Questão
Simplify this expression: 3(x² + 2) - 5(2x² + 3x - 4) + 2(-x² - 4)
Responda
  • -5x² - 15x + 18
  • 5x² - 15x - 22
  • -9x² - 15x + 18
  • -9x² + 15x - 22

Questão 13

Questão
Which is an equivalent form of this expression?
Responda
  • 3x² - 6x - 9
  • 3x² - 7x - 11
  • 3x² - 9x - 16
  • 3x² - 19x - 4

Questão 14

Questão
Richar has 5 shirts, 6 pairs of jeans, and 3 vests. How many different outfits, each composed of a shirt, a pair of jeans, and a vest, can he make?
Responda
  • 6
  • 14
  • 33
  • 90

Questão 15

Questão
A high school's enrollment is 27% juniors and 31% seniors. What is the probability that a student chosen at random from this high school will be a junior or a senior?
Responda
  • \[\frac{1}{25}\]
  • \[\frac{2}{25}\]
  • \[\frac{29}{50}\]
  • \[\frac{87}{100}\]

Questão 16

Questão
Guests at a wedding reception must chose 1 food item from each of these 3 categories. Main Dish Entreé: steak, fish, chicken Vegetable: carrots, green beans, potatoes Salad: garden, Caesar How many different dinner combinations are possible?
Responda
  • 8
  • 18
  • 56
  • 336

Questão 17

Questão
Which inequality represents this statement? On the number line, x is less that 3 units away from 5.
Responda
  • x - 5 <3
  • x - 3 < 5
  • | x - 5 | < 3
  • | x - 3 | < 5

Questão 18

Questão
If c - d = 7 and c = 3 -4i , what is d?
Responda
  • -4 - 4i
  • -4 + 4i
  • 4 - 4i
  • 4 + 4i

Questão 19

Questão
Simplify (2√5)² - (3 - √-6)(3 + √-6).
Responda
  • 1
  • 5
  • 11
  • 17

Questão 20

Questão
What is the completely simplified expression of \[\frac{x³ - 4x}{x⁵ - 8x²}\]
Responda
  • \[\frac{x³ - 4x}{x⁵ - 8x²}\]
  • \[\frac{1}{x(x+2)}\]
  • \[\frac{x² - 4}{x(x³ - 8)}\]
  • \[\frac{x + 2}{x(x² + 2x + 4)}\]

Questão 21

Questão
What is the complete factorization of 16r³ⁿ - 54q⁶ᵃ , where a, n, r, and q are integers?
Responda
  • 2(8r³ⁿ - 27⁶ᵃ)
  • (4r²ⁿn + 6qᵃ)(4rⁿ - 9q⁵ᵃ)
  • 2(4r²ⁿ + 3qᵃ)(2rⁿ - 9q⁵ᵃ)
  • 2(2rⁿ - 3q²ᵃ)(4r²ⁿ + 6rⁿq²ᵃ + 9q⁴ᵃ)

Questão 22

Questão
Given that f(-3) =0, f(-1) =0, completely factor f(x) = x⁴ + 5x³ + 3x² - 13x - 12.
Responda
  • (x - 3)(x - 1)(x + 2) (x - 2)
  • (x + 3)(x + 1)(x + 2) (x - 2)
  • (x - 3)(x - 1)²(x² + x - 4)
  • (x + 3)(x + 1)(x² + x - 4)

Questão 23

Questão
One printer takes 3 hours to complete a job. Another printer can do the same job in 4 hours. When the job runs on both printers how many hours will it take to complete
Responda
  • \[\frac{7}{24}\]
  • \[\frac{7}{12}\]
  • \[\frac{12}{7}\]
  • \[\frac{24}{7}\]

Questão 24

Questão
Ten students will participate in a spelling contest. How many outcomes for first, secons, and third place are possible?
Responda
  • 30
  • 90
  • 120
  • 720

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