# Algebra 2 Quality Core

### Description

Algebra 2 practice Final Test
Quiz by Niat Habtemariam, updated more than 1 year ago
 Created by Niat Habtemariam over 10 years ago
1157
16

## Resource summary

### Question 1

Question
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?
• Day 15
• Day 14
• Day 10
• Day 6

### Question 2

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

### Question 3

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

### Question 4

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

### Question 5

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

### Question 6

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

### Question 7

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

### Question 8

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

### Question 9

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

### Question 10

Question
Which system of inequalities describes this graph?

### Question 11

Question
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?
• 42,900
• 23,700
• 5,363
• 4,150

### Question 12

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

### Question 13

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

### Question 14

Question
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?
• 6
• 14
• 33
• 90

### Question 15

Question
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?
• $\frac{1}{25}$
• $\frac{2}{25}$
• $\frac{29}{50}$
• $\frac{87}{100}$

### Question 16

Question
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?
• 8
• 18
• 56
• 336

### Question 17

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

### Question 18

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

### Question 19

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

### Question 20

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

### Question 21

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

### Question 22

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

### Question 23

Question
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
• $\frac{7}{24}$
• $\frac{7}{12}$
• $\frac{12}{7}$
• $\frac{24}{7}$

### Question 24

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

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