Quiz about End of Content - Algebra I

Question 1

Which expression is equivalent to

$$16x^2\ -\ 9\ $$

Accepted Answer

(4x - 3) (4x + 3)

Answer

(4x + 3) (4x + 3)

Answer

(16x - 9)(x + 1)

Answer

(16x + 9)(x - 1)

Question 2

Choose the correct response pertaining to the image.

Accepted Answer

The formula given is correct; the change in y over the change in x yields the slope

Answer

The formula given is incorrect; it should be the change in x over the change in y in order to find the slope

Question 3

If each tick mark represents 5 units, what is the slope of the line shown?

Accepted Answer

1

Answer

2

Answer

5

Question 4

For the function given, what is the y-intercept ?

$$f\left(x\right)\ =\ -4x^2\ +\ 12x\ +\ 8\ $$

Accepted Answer

(0 , 8)

Answer

(0 , -4)

Answer

(0 , 12)

Answer

does not cross

Question 5

Which best describes the solution or the number of solutions for the given equation:

9x - 6x + 3 = 3(3x - 2x) + 12

Accepted Answer

no solution

Answer

infinite solutions

Answer

x = 0

Answer

x = 1

Question 6

The Pelicans have scored 99, 108, and 124 in their first three games. The Rockets have scored 130, 100, and 88. If Jinny wants to root for the team that is averaging the most points through the first 3 games, who is she cheering for ?

Accepted Answer

Pelicans

Answer

Rockets

Answer

Both because the arithmetic mean is the same

Question 7

Considering the inequality given, which is a solution?

$$2x\ +\ 3y\ <\ 9\ $$

Accepted Answer

(3 , 0)

Answer

(0 , 3)

Answer

(-4 , 6)

Answer

(5 , 0)

Question 8

Which function represents the sequence

$$2,\ 10,\ 50,\ 250,\ 1250\ ...$$

Accepted Answer

$$f\left(x\right)\ =\ 2\left(5\right)^{\left(x-1\right)}$$

Answer

$$f\left(x\right)\ =\ 2x\ +\ 5\ $$

Answer

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

Answer

$$f\left(x\right)\ =\ 5\left(2\right)^{\left(x-1\right)}$$

Question 9

Which expression is equivalent to

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

Accepted Answer

$$3x^3\ +\ 8x^2\ +\ 2x\ -\ 4$$

Answer

none of these

Answer

$$3x^3\ +\ 2x^2\ -2x\ +\ 8x^2\ +\ x\ -\ 10$$

Answer

$$3x^3\ +\ 8x^2\ -\ 2x\ +\ 4\ $$

Question 10

Given the parent function, what type of transformation is being shown in the image?

$$y\ =\ \left|x\right|$$

Accepted Answer

shift down 5 units

Answer

shift up 5 units

Answer

shift left 5 units

Answer

shift right 5 units

Question 11

During an agriscience project dealing with sweet corn, students were asked to create a graph that measured plant height(in inches) per number of weeks. Given the function, which statement is true?

$$h\left(w\right)\ =\ 2.5w\ -\ 3.5$$

Accepted Answer

The corn grew 2.5 inches per week

Answer

The y-intercept is 2.5

Answer

The slope is 3.5

Answer

At ten weeks the corn is 30 inches high

Question 12

For the function given, what is the average rate of change on the given interval? $$f\left(x\right)\ =\ -2x^2\ +\ 4$$ $$for\ \ \ 0\ \le x\le2$$

Accepted Answer

-4

Answer

4

Answer

2

Answer

-2

Question 13

The function given represents a super bouncy ball! How long does it take the ball to reach its maximum height?

$$f\left(x\right)\ =\ -16x^2\ +\ 32x\ +\ 4$$

Accepted Answer

1 second

Answer

2 seconds

Answer

5 seconds

Answer

20 seconds

Question 14

What is the equation of the line that contains the points (2, 10) and (-3 , -10)

Accepted Answer

y = 4x + 2

Answer

y = -4x - 2

Answer

y = 4x + 4

Answer

y = -4x - 4

Question 15

Which is a zero of

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

Accepted Answer

-2

Answer

0

Answer

3

Answer

no solution

Question 16

In the town of Chelsea, speeding tickets are issued by accessing an initial $50 fee plus $17 for each mph over the limit. If a speeding ticket was issued for $186 in a 55mph zone, how fast was the driver going?

$$f\left(x\right)\ =\ 50\ +\ 17x$$

Accepted Answer

63 mph

Answer

65 mph

Answer

67 mph

Answer

69 mph

Question 17

Does the illustration represent a function?

Accepted Answer

Yes

Answer

No

Question 18

Subtracting the square root of 2 from 7 results in a

Accepted Answer

an irrational number

Answer

a rational number

Question 19

The given function represents Claire's retirement fund, where x is the number of years that have passed since she started withdrawing from it. Which statement is true?

$$C\left(x\right)\ =\ 50,000\left(.82\right)^x$$

Accepted Answer

Her fund is decreasing at a rate of 18%

Answer

Her fund is increasing at a rate of 82%

Answer

Her fund is increasing at a rate of 18%

Answer

Her fund is decreasing at a rate of 82%

Question 20

A local plant nursery sells quart potted plants, q, for $3.00 each and gallon potted plants, g, for $7.00 each. Which inequality describes spending at least $80 on quart potted plants and gallon potted plants?

Accepted Answer

$$3q\ +\ 7g\ \ge80\ $$

Answer

$$3q\ +\ 7g\ \le80$$

Answer

$$21qg\ =\ 80$$

Answer

$$7q\ +\ 3g\ =\ 80$$

Question 21

The given function describes a person jumping into a swimming pool. Approximately, how long does it take the person to hit the water?

$$f\left(x\right)\ =-3x^2\ +\ 8x\ +\ 1\ $$

Accepted Answer

2.8 seconds

Answer

1.3 seconds

Answer

-.1 seconds

Answer

cannot be determined

Question 22

How many solutions does (4x - 8) = 4(x -2) have?

Accepted Answer

infinite

Answer

none

Answer

one

Answer

two

Question 23

Given the two functions, which value of x is a solution to f(x) = g(x) ?

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

Accepted Answer

2

Answer

6

Answer

1

Answer

3

Question 24

John is asked to write the quadratic equation in standard form. Once done, which statement is true?

$$-14\ +\ 8x^2\ +\ 6x\ =\ 0\ $$

Accepted Answer

The lead coefficient is greater than the constant.

Answer

The constant is greater than the lead coefficient.

Answer

The constant is greater than zero.

Answer

The lead coefficient is less than zero.

Question 25

Which ordered pair is the solution to the system?

Accepted Answer

(2 , 3)

Answer

(3 , 2)

Answer

(0 , 2)

Answer

(5 , 0)

Question 26

What is the median of:

{5, 6, 7, 8, 9, 10, 11, 12}

Accepted Answer

8.5

Answer

8

Answer

9

Answer

9.5

Question 27

Which scenario best describes a shrimp colony doubling it's population each year?

Accepted Answer

exponential growth

Answer

linear growth

Answer

linear decay

Answer

exponential decay

Question 28

Which expression could be used to find the zeros for

$$f\left(x\right)\ =\ 2x^2\ -\ 3x\ -\ 14\ $$

Accepted Answer

$$\left(x\ +2\right)\ \left(2x\ -\ 7\right)$$

Answer

$$\left(x\ +\ 2\right)\left(2x\ +\ 7\right)$$

Answer

$$\left(x\ +\ 2\right)\left(x\ +\ 14\right)$$

Answer

$$\left(x\ +\ 1\right)\ \left(2x\ -\ 14\right)$$

Question 29

John wants to buy packs of pokemon cards, p. If he starts with $70 and packs of pokemon cards cost $5.99 per pack, which function demonstrates the scenario?

Accepted Answer

$$f\left(p\right)\ =\ 70\ -\ 5.99p$$

Answer

$$f\left(p\right)\ =\ 70\ +\ 5.99p$$

Answer

$$f\left(p\right)\ =\ 5.99p\ +\ 70\ $$

Answer

$$f\left(p\right)\ =\ 70p\ -\ 5.99$$

Question 30

According to the information given, explain the change in y over the change in x.

Accepted Answer

$$\frac{height}{age\ }$$

Answer

$$\frac{age}{height\ }$$

Question 31

Which statement is true about the concession stand sales ?

Accepted Answer

Hotdogs made up approximately 40% of the sales

Answer

The combination of pizza and water occurred 120 times

Answer

10 people ate pizza without a drink

Answer

The combination of soda and pizza made up approximately 50% of the sales

Question 32

The slope-intercept form of a line can be written as y = mx + b. Which equation is solved for m, the slope of the line?

Accepted Answer

$$m\ =\ \frac{y-b}{x}$$

Answer

$$m\ =\ bx\ +\ yx$$

Answer

$$m\ =\ y\ -\ b\ -\ x$$

Answer

$$m\ =\ \frac{y\ -\ b}{x\ -\ b}$$

Question 33

Which function has two different zeros?

Accepted Answer

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

Answer

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

Answer

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

Answer

$$f\left(x\right)\ =\ x^2\ +\ 100$$

Question 34

What is the domain of the given illustration?

Accepted Answer

$$-3\ \le\ x\ \le\ 5$$

Answer

$$-3\ \le\ y\ \le\ 5$$

Answer

$$2\ \le\ x\ \le4$$

Answer

$$2\ \le\ y\ \le\ 4$$

Question 35

The given function describes a child's toy rocket being launched into the air. After 3 seconds the toy rocket is 42 feet high. When is it again 42 feet high?

$$f\left(x\right)\ =\ -2x^2\ +\ 20x$$

Accepted Answer

7 seconds

Answer

4 seconds

Answer

5 seconds

Answer

6 seconds

Question 36

Given the parent function below, find the transformation that shows BOTH a reflection and a vertical translation.

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

Accepted Answer

$$-f\left(x\right)\ +\ 1\ $$

Answer

$$-f\left(x\ +\ 1\right)$$

Answer

$$-f\left(x\ -1\right)$$

Answer

$$f\left(x\right)\ -\ 1$$

Question 37

What is the 17th term in the given sequence ...

$$3,\ 9,\ 27\ ...\ $$

Accepted Answer

129,140,163

Answer

4,782,969

Answer

14,348,907

Answer

43,046,721

Question 38

Desmond is stumped. Help him find the slope of the line given where he left off below.

$$3y\ =\ -5x\ -\ 9\ $$

Accepted Answer

-5/3

Answer

-5

Answer

-9

Answer

-3

Question 39

Which is irrational ?

Accepted Answer

$$2\sqrt[]{5}$$

Answer

3.5

Answer

17/2

Answer

$$\sqrt[]{49}$$

Question 40

Given the function, which statement is true ?

$$f\left(x\right)\ =\ 7200\left(.91\right)^x$$

Accepted Answer

The rate of decay is 9%

Answer

The rate of growth is 9%

Answer

The rate of growth is 91%

Answer

The rate of decay is 91%

Question 41

Simplify the given polynomial

$$5x\left(x\ -3\right)\ +\ 2x\left(x^2\ -x\right)\ +\ 5x\ $$

Accepted Answer

$$2x^3\ +\ 3x^2\ -\ 10x$$

Answer

$$3x^3\ +\ 3x^2\ -\ 10x$$

Answer

$$-2x^3\ -\ 3x^2\ -10x$$

Answer

$$x^3\ +\ 2x^2\ +\ 10x$$

Question 42

Jessica's research on vitamins led to her creating box-plots to represent the data. According to the illustration, choose the best response pertaining to Vitamin Y.

Accepted Answer

Approximately, Q1 is 4.5, Q2 is 5, and Q3 is 6

Answer

Approximately, Q1 is 3, Q2 is 5, and Q3 is 8

Answer

The IQR is 5

Question 43

A car on cruise control is traveling at a constant rate of 55 mph. Which is true?

Accepted Answer

This situation is linear.

Answer

This situation is exponential.

Answer

This situation is quadratic.

Question 44

Max is being asked to complete the square. What constant should he add to each side to start this process ?

$$x^2\ +\ 2x\ =\ 8\ $$

Accepted Answer

1

Answer

2

Answer

4

Answer

8

Question 45

Given the function, what output is associated with f(8) ?

$$f\left(x\right)\ =\ x^2\ -\ 3x\ -\ 9\ $$

Accepted Answer

31

Answer

9

Answer

19

Answer

45

Question 46

Which is true about the sequence given

13, -1, -15, ...

Accepted Answer

The 200th term in the sequence is -2,773

Answer

The sequence is geometric because there is a common multiplier

Answer

The sequence is arithmetic and the common difference is 14

Answer

The function f(n) = -14n - 27 represents the explicit formula

Question 47

{5, 9, 11, 12, 18, 25, 32}

Sara is given a list of numbers and asked to find measures of center. Which statement is NOT correct?

Accepted Answer

The median is higher than the mean

Answer

The range is 27

Answer

The mean is higher than the median

Answer

There is no mode

Question 48

A bag contains two different colored marbles. If there are 20 red marbles and 24 blue marbles, approximately what is the percent chance of pulling out a blue one?

Accepted Answer

55%

Answer

45%

Answer

83%

Answer

120%

Question 49

Use the provided image to choose the best response

Accepted Answer

The range involves all y-values greater than or equal to negative seven

Answer

There is a zero at (0,-6)

Answer

The maximum value is found at (1, -7)

Answer

An input value of 10 yields an output value of 72

Question 50

For the equation 3x+2y=16

What is the slope?

Accepted Answer

-3/2

Answer

3/2

Answer

8

Answer

-8

End of Content - Algebra I

50 questions

Choose the correct response pertaining to the image.

If each tick mark represents 5 units, what is the slope of the line shown?

Which best describes the solution or the number of solutions for the given equation:
9x - 6x + 3 = 3(3x - 2x) + 12

The Pelicans have scored 99, 108, and 124 in their first three games. The Rockets have scored 130, 100, and 88. If Jinny wants to root for the team that is averaging the most points through the first 3 games, who is she cheering for ?

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End of Content - Algebra I

50 questions

Choose the correct response pertaining to the image.

If each tick mark represents 5 units, what is the slope of the line shown?

Which best describes the solution or the number of solutions for the given equation:9x - 6x + 3 = 3(3x - 2x) + 12

The Pelicans have scored 99, 108, and 124 in their first three games. The Rockets have scored 130, 100, and 88. If Jinny wants to root for the team that is averaging the most points through the first 3 games, who is she cheering for ?

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Which best describes the solution or the number of solutions for the given equation:
9x - 6x + 3 = 3(3x - 2x) + 12