Free Printable Algebra: Quizizz Review Assessment 2

Worksheets

Algebra: Quizizz Review Assessment 2

Total questions: 33

Worksheet time: 8hrs 15mins

Name

Class

Date

When the expression 16x⁴ - 81 is completely factored it is equivalent to

(4x² - 9)(4x² + 9)

(4x² + 9)(4x² + 9)

(2x² + 9)(2x² - 9)(2x² + 9)(2x² - 9)

(4x² + 9)(2x - 3)(2x + 3)

Compared to the graph of f(x)=x², the graph of g(x)=(x + 2)² - 3 is the result of translating f(x)

2 units up and 3 units left

2 units left and 3 units down

2 units down and 3 units up

2 units left and 3 units right

If a = 3x³ + x² - 5 and b = x² - 12, which polynomial is equivalent to 2(a + b)?

6x³ + 4x²- 34

6x³ + 3x²-17

6x³ + 3x² - 22

6x³ + 2x² – 17

Which statement is true?

For f(x), 1 box = 1 unit.

The y-intercept for g(x) is greater than the y-intercept for both f(x) and h(x).

The y-intercept for f(x) is greater than the y-intercept for both g(x) and h(x).

The y-intercept for h(x) is greater than the y-intercept for both g(x) and h(x).

The y-intercept for h(x) is greater than the y-intercept for f(x).

Which point is in the solution set of the equation 3y + 2 = x² - 5x + 17?

(-2,10)

(-1,5)

(2,3)

(5,9)

Which of the three situations given below is best modeled by an exponential function?

I. A bacteria culture triples in size every day.

II. A plant grows by 5 inches every 2 weeks.

III. The population of a town declines by 3% every 5 years.

I, only

I and II

II, only

I and III

The length, width, and height of a rectangular shoebox are represented by 4x, 5x + 9, and x - 3, respectively. When the volume is expressed as a polynomial in standard form, what is the coefficient of the second term?

-24

-108

-96

When solving the equation 4(3x² + 2) – 9 = 8x² + 7, Emily wrote

4(3x² + 2) = 8x² + 16 as her first step. Which property justifies Emily’s first step?

commutative property of equality

addition property of equality

multiplication property of equality

distributive property of multiplication over addition

A polynomial function contains the factors x, x – 2, and x + 5. Which graph(s) could represent the graph of this function?

I, only

I and III

II, only

I, II, and III

10.

Miriam and Jessica are growing bacteria in a laboratory. Miriam uses the growth function f(t) = n^2twhile Jessica uses the function g(t) = n^4t, where n represents the initial number of bacteria and t is the time, in hours. If Miriam starts with 16 bacteria, how many bacteria should Jessica start with to achieve the same growth over time?

11.

$If\ f\left(x\right)=\frac{\sqrt{2x+3}}{6x-5},\ then\ f\left(\frac{1}{2}\right)\ =$

-1

-2

$\frac{13}{3}$

12.

Which situation could be modeled by using a linear function?

a bank account balance that grows at a rate of 5% per year, compounded annually

a population of bacteria that doubles every 4.5 hours

the cost of cell phone service that charges a base amount plus 20 cents per minute

the concentration of medicine in a person’s body that decays by a factor of one-third every hour

13.

To watch a varsity basketball game, spectators must buy a ticket at the door. The cost of an adult ticket is $3.00 and the cost of a student ticket is $1.50. If the number of adult tickets sold is represented by a and student tickets sold by s, which expression represents the amount of money

collected at the door from the ticket sales?

4.50(a + s)

3.00a + 1.50s

4.50as

(3.00a)(1.50s)

14.

The Jamison family kept a log of the distance they

traveled during a trip, as represented by the graph. During which interval was their average speed the

greatest?

the first hour to the second hour

the second hour to the fourth hour

the sixth hour to the eighth hour

the eighth hour to the tenth hour

15.

Which statistic can not be determined from a dot plot representing the scores on science test in Mr. Abbott’s science class?

the lowest score

the median score

the mean

correlation coefficient

16.

The table below represents the function F. The equation that represents this function is

F(x) = 3^x

F(x) = 3x

F(x) = 2^x + 1

F(x) = 2x + 3

17.

Which function defines the sequence 6, 10, 14, 18, … , where f(6) = 26?

f(x) = –4x – 2

f(x) = 4x + 2

f(x) = x + 20

f(x) = x + 26

18.

As x increases beyond 10, which function will have the largest value?

a(x) = 3x⁴ + 5x³

b(x) = 7.5x²

c(x) = 15x + 20

d(x) = 3^x

19.

The daily cost of production in a factory is calculated using c(x) = 200 + 16x, where x is the number of complete products manufactured. Which set of numbers best defines the domain of c(x)?

integers

positive real numbers

positive rational numbers

whole numbers

20.

The function f(x) = x² – 12x + 34 can be written in vertex form as

f(x) = (x – 6)² + 2

f(x) = (x – 6)² – 2

f(x) = (x + 6)² + 2

f(x) = (x + 6)² – 2

21.

Based on the graph, which expression is a possible factorization of f(x) ?

f(x) = (x + 2)(x + 4)(x – 1)

f(x) = (x – 2)(x + 4)(x – 1)

f(x) = (x + 2)(x – 4)(x + 1)

f(x) = (x – 2)(x – 4)(x + 1)

22.

What is the equation of the graph?

$y=-3\left|x\right|$

$y\ =\ 3\left|x+2\right|-2$

$y\ =\ 3\left|x-2\right|-2$

$y\ =\ -3\left|x-2\right|+2$

23.

What does it mean if the discriminant of a quadratic equation is positive?

The quadratic equation has one solution.

The quadratic equation has two solutions.

The quadratic equation has no solution.

There is an error in the calculations.

24.

What are the solutions to the equation?
$\left(x+3\right)^2=7$

$y=3\pm\sqrt{7}$

$y=-3\pm\sqrt{7}$

$y=7\pm\sqrt{3}$

$y=-7\pm\sqrt{3}$

25.

The graph of the function f(x) = is shown. The domain of the function is

x > 0

x ≥ 0

x > –4

x ≥ –4

26.

the initial height of the ball

the time at which the ball reaches the ground

the time at which the ball was at its highest point

the maximum height the ball attained when thrown in the air

27.

Which equation has the same solution as x² – 10x – 8 = 0?

(x + 5)² = –17

(x – 5)² = –17

(x + 5)² = 33

(x – 5)² = 33

28.

Which graph below shows a data set that is non-symmetric and skewed right?

29.

Which statement is not always true?

The sum of two rational numbers is rational.

The sum of a rational number and an irrational number is irrational.

The product of two irrational numbers is irrational.

The product of two rational numbers is rational.

30.

The equation A = 1300(1.02)⁷ is being used to calculate the amount of money in a savings account. What does 1.02 represent in this equation?

0.02% decay

0.02% growth

2% decay

2% growth

31.

$\sqrt{32}$

Express in simplest radical form.

$4\sqrt{8}$

$2\sqrt{8}$

$16\sqrt{2}$

$4\sqrt{2}$

32.

Michael borrows money from his uncle, who is charging him simple interest using the formula I = Prt. To figure out what the interest rate, r, is, Michael rearranges the formula to find r. His new formula is r equals

$\frac{I-P}{t}$

$\frac{P-I}{t}$

$\frac{I}{Pt}$

$\frac{Pt}{I}$

33.

A company that manufactures radios first pays a start-up cost, and then spends a certain amount of money to manufacture each radio. If the cost of manufacturing r radios is given by the function c(r) = 5.25r + 125, then the value 125 best represents

the start-up cost

the profit earned from the sale of one radio

the amount spent to manufacture each radio

the average number of radios manufactured

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Algebra: Quizizz Review Assessment 2

Total questions: 33

Worksheet time: 8hrs 15mins

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