Quiz about 2022 Algebra 1 EOC Review

Question 1

Which sum is rational?

Accepted Answer

$$\sqrt[]{25}\ +\ 1.75$$

Answer

$$\pi\ +\ 18$$

Answer

$$\sqrt[]{3}\ +\ 5.5$$

Answer

$$\pi\ +\ \sqrt[]{2}$$

Question 2

The expression $$s^2$$ is used to calculate the area of a square, where s is the side length of the square. What does the expression $$\left(8x\right)^2$$ represent?

Accepted Answer

the area of a square with a side length of 8x

Answer

the area of a square with a side length of 8

Answer

the area of a square with a side length of 16

Answer

the area of a square with a side length of 4x

Question 3

Which expression has the same value as the expression $$\left(8x^2\ +\ 2x\ -\ 6\right)\ -\ \left(5x^2\ -\ 3x\ +\ 2\right)$$ ?

Accepted Answer

$$3x^2\ +\ 5x\ -\ 8$$

Answer

$$3x^2\ -\ x\ -\ 4$$

Answer

$$13x^2\ -\ x\ -\ 8$$

Answer

$$13x^2\ -\ 5x\ -\ 4$$

Question 4

For what values of x is the inequality $$\frac{2}{3}+\frac{x}{3}>1$$ true?

Accepted Answer

x > 1

Answer

x < 1

Answer

x < 5

Answer

x > 5

Question 5

Based on the tables, at what point do the lines y = -x + 5 and y = 2x - 1 intersect?

Accepted Answer

(2, 3)

Answer

(1, 1)

Answer

(3, 5)

Answer

(3, 2)

Question 6

Which ordered pair is a solution of 3y + 2 = 2x - 5 ?

Accepted Answer

(5, 1)

Answer

(-5, 2)

Answer

(0, -5)

Answer

(7, 5)

Question 7

A shop sells one-pound bags of peanuts for $2 and three-pound bags of peanunts for $5. If 9 bags are purchased for a total cost of $36, how many three-pound bags were purchased?

Accepted Answer

6

Answer

3

Answer

9

Answer

18

Question 8

Which function represents the table?

Accepted Answer

f(n) = 7n - 4

Answer

f(n) = n + 3

Answer

f(n) = 3n + 7

Answer

f(n) = n + 7

Question 9

Which function is modeled in this table?

Accepted Answer

f(x) = 3x + 5

Answer

f(x) = x + 7

Answer

f(x) = x + 9

Answer

f(x) = 2x + 5

Question 10

If f(12) = 4(12) - 20, which function gives f(x)?

Accepted Answer

f(x) = 4x - 20

Answer

f(x) = 4x

Answer

f(x) = 12x

Answer

f(x) = 12x - 20

Question 11

A wild horse runs at a rate of 8 miles an hour for 6 hours. Let y be the distance, in miles, the horse travels for a given amount of time, x, in hours. THis situation can be modeled by a function.

Which of these desribes the domain of the function?

Accepted Answer

$$0\ \le\ x\ \le\ 6$$

Answer

$$0\ \le\ y\ \le\ 6$$

Answer

$$0\ \le\ x\ \le\ 48$$

Answer

$$0\ \le\ y\ \le\ 48$$

Question 12

Juan and Patti decided to see who could read more books in a month. They began to keep track after Patti had already read 5 books that month. This graph shows the number of books Patti read for the next 10 days and the rate at which she will read for the rest of the month.

If Juan does not read any books before day 4 and he starts reading at the same rate as Patti for the rest of the month, how many books will he have read by day 12?

Accepted Answer

10

Answer

5

Answer

15

Answer

20

Question 13

Which expression is equivalent to $$121x^2\ -\ 64y^2$$ ?

Accepted Answer

(11x + 8y)(11x - 8y)

Answer

(11x - 16y)(11x + 16y)

Answer

(11x - 16y)(11x - 16y)

Answer

(11x + 8y)(11x + 8y)

Question 14

What are the zeros of the function represented by the quadratic expression $$2x^2\ +\ x\ -\ 3$$ ?

Accepted Answer

x = $$-\frac{3}{2}$$ and x = 1

Answer

x = $$-\frac{2}{3}$$ and x = 1

Answer

x = -1 and x = $$\frac{2}{3}$$

Answer

x = -1 and x = $$-\frac{3}{2}$$

Question 15

Which of these is the result of completing the square for the expression $$x^2\ +\ 8x\ -\ 30$$ ?

Accepted Answer

$$\left(x\ +\ 4\right)^2-46$$

Answer

$$\left(x\ +4\right)^2\ -\ 30$$

Answer

$$\left(x\ +\ 8\right)^2\ -\ 30$$

Answer

$$\left(x\ +\ 8\right)^2\ -\ 94$$

Question 16

The expression $$-x^2\ +\ 70x\ -\ 600$$ represents a company's profit for selling x items. For which number(s) of items sold is the company's profit equal to $0?

Accepted Answer

10 items and 60 items

Answer

0 items

Answer

35 items

Answer

20 items and 30 items

Question 17

What are the solutions to the equation $$x^2\ -\ 5x\ =\ 14$$ ?

Accepted Answer

x = -2, x = 7

Answer

x = -7, x = -2

Answer

x = -14, x =-1

Answer

x = -1, x = 14

Question 18

An object is thrown into the air with an initial velocity of 5 m/s from a height of 9 m. The equation $$h\left(t\right)\ =\ -4.9t^2\ +\ 5t\ +\ 9$$ models the height of the object in meters after t seconds.

About how many seconds does it take for the object to hit the ground? Round your answer to the nearest tenth of a second.

Accepted Answer

2.0

Answer

0.9

Answer

1.5

Answer

9.0

Question 19

What explicit expression can be used to find the next term in this sequence?

2, 8, 18, 32, 50, . . .

Accepted Answer

$$2n^2$$

Answer

2n

Answer

2n + 6

Answer

$$2n^2\ +\ 1$$

Question 20

A cafe's annual income depends on x, the number of customers. The function $$I\left(x\right)\ =\ 4x^2\ -\ 20x$$ describes the cafe's total annual income. The function $$C\left(x\right)\ =\ 2x^2\ +\ 5$$ describes the total amount the cafe spends in a year. The cafe's annual profit, P(x), is the difference between the annual income and the amount spent in a year.

Which function describes P(x)?

Accepted Answer

$$P\left(x\right)\ =\ 2x^2\ -\ 20x\ -\ 5$$

Answer

$$P\left(x\right)\ =\ 4x^{3\ }-\ 20x^2$$

Answer

$$P\left(x\right)\ =\ 6x^2\ -\ 20x\ +\ 5$$

Answer

$$P\left(x\right)\ =\ 8x^{4\ }-\ 40x^{3\ }-\ 20x^2\ -\ 100x$$

Question 21

Which statement BEST describes the graph of f(x + 6)?

Accepted Answer

The graph of f(x) is shifted left 6 units

Answer

The graph of f(x) is shifted up 6 units

Answer

The graph of f(x) is shifted right 6 units

Answer

The graph of f(x) is shifted down 6 units

Question 22

Which statment BEST describes how the graph of $$g\left(x\right)\ =\ -3x^2$$ compares to the graph of $$f\left(x\right)\ =\ x^2$$ ?

Accepted Answer

The graph of g(x) is a vertical stretch of f(x) by a factor of 3 and a reflection across the x-axis.

Answer

The graph of g(x) is a vertical stretch of f(x) by a factor of 3.

Answer

The graph of g(x) is a reflection of f(x) across the x-axis.

Answer

The graph of g(x) is a vertical shrink of f(x) by a factor of 1/3 and a reflection across the x-axis.

Question 23

A flying disk is thrown into the air from a height of 25 feet as a time t = 0. The function that models this situation is $$h\left(t\right)\ =\ -16t^2\ +\ 75t\ +\ 25$$ , where t is measured in seconds and h is the height in feet. What values of t best describe the time when the disk is flying in the air?

Accepted Answer

0 < t < 5

Answer

0 < t < 25

Answer

all real numbers

Answer

all positive integers

Question 24

What is the end behavior of the graph of $$f\left(x\right)\ =\ -0.25x^2\ -\ 2x\ +\ 1$$ ?

Accepted Answer

As x increases, f(x) decreases. As x decreases, f(x) decreases.

Answer

As x increases, f(x) increases. As x decreases, f(x) decreases.

Answer

As x increases, f(x) increases. As x decreases, f(x) increases.

Answer

As x increases, f(x) decreases. As x decreases, f(x) increases.

Question 25

Use the graph to answer the question.

Which function is shown in the graph?

Accepted Answer

$$f\left(x\right)\ =\ x^2\ -\ 3x\ -10$$

Answer

$$f\left(x\right)\ =\ x^2\ +\ 3x\ -\ 10$$

Answer

$$f\left(x\right)\ =\ x^2\ +\ x\ -\ 12$$

Answer

$$f\left(x\right)\ =\ x^2\ -\ 5x\ -\ 8$$

Question 26

A certain population of bacteria has an average growth rate of 2%. The formula for the growth of the bacteria's population is $$A\ =\ P_{0\ }\cdot\ 1.02^t$$ , where $$P_0$$ is the original population and t is the time in hours.

If you begin with 200 bacteria, about how many bacteria will there be after 100 hours?

Accepted Answer

1449

Answer

7

Answer

272

Answer

20,000

Question 27

Which function represents this sequence?

Accepted Answer

$$f\left(n\right)=6\left(3\right)^{\left(n-1\right)}$$

Answer

$$f\left(n\right)\ =\ 3^{\left(n-1\right)}$$

Answer

$$f\left(n\right)\ =\ 6^{\left(n-1\right)}$$

Answer

$$f\left(n\right)\ =\ 3\left(6\right)^{\left(n-1\right)}$$

Question 28

Which function shows the function $$f\left(x\right)\ =\ 3^x$$ being translated 5 units down?

Accepted Answer

$$f\left(x\right)\ =\ 3^{x\ }-\ 5$$

Answer

$$f\left(x\right)\ =\ 3^{\left(x+5\right)}$$

Answer

$$f\left(x\right)\ =\ 3^{\left(x-5\right)}$$

Answer

$$f\left(x\right)\ =\ 3^x+5$$

Question 29

Which function is modeled in this table?

Accepted Answer

$$f\left(x\right)\ =\ 1000\left(0.80\right)^{\left(x-1\right)}$$

Answer

$$f\left(x\right)\ =\ 1000\left(0.80\right)^x$$

Answer

$$f\left(x\right)\ =\ 1000\left(0.20\right)^x$$

Answer

$$f\left(x\right)\ =\ 1000\left(0.20\right)^{\left(x-1\right)}$$

Question 30

The function graphed on this coordinate grid shows f(x), the height of a dropped ball, in feet, after its xth bounce.

On which bounce was the height of the ball 10 feet?

Accepted Answer

bounce 1

Answer

bounce 2

Answer

bounce 3

Answer

bounce 4

Question 31

Look at the graph.

Which equation represents this graph?

Accepted Answer

$$f\left(x\right)\ =\ 2^{\left(x-1\right)}+2$$

Answer

$$f\left(x\right)\ =\ 2^{\left(x+1\right)}-2$$

Answer

$$f\left(x\right)\ =\ 2^{\left(x+2\right)}-1$$

Answer

$$f\left(x\right)\ =\ 2^{\left(x-2\right)}+1$$

Question 32

Which table represents an exponential function?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 33

Which statement is true about the graphs of exponential functions?

Accepted Answer

The graphs of exponential functions eventually exceed the graphs of linear and quadratic functions.

Answer

The graphs of exponential functions never exceed the graphs of linear and quadratic functions.

Answer

The graphs of exponential functions always exceed the graphs of linear and quadratic functions.

Answer

The graphs of exponential functions eventually exceed the graphs of linear functions but not quadratic functions.

Question 34

Consider this function for cell duplication. The cells duplicate every minute.

$$f\left(x\right)\ =\ 75\left(2\right)^x$$

Accepted Answer

The 75 is the initial number of cells, and the 2 indicates that the number of cells doubles every minute.

Answer

The 75 is the initial number of cells, and the 2 indicates that the number of cells increases by 2 every minute.

Answer

The 75 is the number of cells at 1 minute, and the 2 indicates that the number of cells doubles every minute.

Answer

The 75 is the number of cells at 1 minute, and the 2 indicates that the number of cells increases by 2 every minute.

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics