Algebra 2 Quality Core

Descripción

Algebra 2 practice Final Test
Niat Habtemariam
Test por Niat Habtemariam, actualizado hace más de 1 año
Niat Habtemariam
Creado por Niat Habtemariam hace más de 10 años
1154
16

Resumen del Recurso

Pregunta 1

Pregunta
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?
Respuesta
  • Day 15
  • Day 14
  • Day 10
  • Day 6

Pregunta 2

Pregunta
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?
Respuesta
  • t ≥ 10 and d ≥ 10
  • 40 ≤ t < 60 and d ≥ 10
  • t ≤ 40 or d ≥ 10
  • 40 ≥ t < 60 or d ≥ 10

Pregunta 3

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

Pregunta 4

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

Pregunta 5

Pregunta
What is the complex conjagate of 7 + √-8
Respuesta
  • 7+ 4i√2
  • 7- 4i √2
  • 7+ 2i√2
  • 7- 2i√2

Pregunta 6

Pregunta
What is the complex conjugate of .5 - 2i ?
Respuesta
  • 2- 2i
  • 2- .5i
  • .5i - 2
  • .5 + 2i

Pregunta 7

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

Pregunta 8

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

Pregunta 9

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

Pregunta 10

Pregunta
Which system of inequalities describes this graph?

Pregunta 11

Pregunta
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?
Respuesta
  • 42,900
  • 23,700
  • 5,363
  • 4,150

Pregunta 12

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

Pregunta 13

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

Pregunta 14

Pregunta
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?
Respuesta
  • 6
  • 14
  • 33
  • 90

Pregunta 15

Pregunta
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?
Respuesta
  • \[\frac{1}{25}\]
  • \[\frac{2}{25}\]
  • \[\frac{29}{50}\]
  • \[\frac{87}{100}\]

Pregunta 16

Pregunta
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?
Respuesta
  • 8
  • 18
  • 56
  • 336

Pregunta 17

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

Pregunta 18

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

Pregunta 19

Pregunta
Simplify (2√5)² - (3 - √-6)(3 + √-6).
Respuesta
  • 1
  • 5
  • 11
  • 17

Pregunta 20

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

Pregunta 21

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

Pregunta 22

Pregunta
Given that f(-3) =0, f(-1) =0, completely factor f(x) = x⁴ + 5x³ + 3x² - 13x - 12.
Respuesta
  • (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)

Pregunta 23

Pregunta
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
Respuesta
  • \[\frac{7}{24}\]
  • \[\frac{7}{12}\]
  • \[\frac{12}{7}\]
  • \[\frac{24}{7}\]

Pregunta 24

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