Algebra thing

x3 2 2x?

(23,221) (3) (1,1)

The domain of the function f(x) 5 x2 1 x 2 12 is

(2`,`) (4) [3,`)

Which relation is a function?

(3){(1,3), (2,1), (3,1), (4,7)}

Which function has the smallest y-intercept value?

(4)

216364425651024(3)xh(x)1227312417522(2)xp(x)1-9.52-123-14.54-175-19.5(4) 9 Which expression is not equivalent to (52x)3?

(55)x(2) (53x)2

Which expression is not equivalent to (52x)3?

(55)x(2) (53x)2

27312417522(2)xp(x)1-9.52-123-14.54-175-19.5(4) 9 Which expression is not equivalent to (52x)3?

(5x)6 (3) (55)x

Which expression is equivalent to (x 4)2(x 4)3?

(x 4)5 (4) (x2 16)5

When solving x2 10x 13 0 by completing the square, which equation is a step in the process?

(x 5)2 38 (3) (x 10)2 38

Which expression is equivalent to x2 x 6?

(x 6)(x 1)

When using the method of completing the square, which equation is equivalent to x2 12x 10 0?

(x 6)2 46

Joe has dimes and nickels in his piggy bank totaling $1.45. The number of nickels he has is 5 more than twice the number of dimes, d. Which equation could be used to find the number of dimes he has?

0.10d 0.05(2d 5) 1.45

The table below shows the time, in hours, spent by students on electronic devices and their math test scores. The data collected model a linear regression.Time Spent on an Electronic Device (hours)Math Test Score385199481098390765578290 What is the correlation coefficient, to the nearest hundredth, for these data?

0.98 (3) 0.98

Joe compared gas prices in England and New York State one day. In England, gas sold for 1.35 euros per liter, and one dollar equaled 0.622 euros. A correct way to figure out this cost, in dollars per gallon, is

1.35 euros1 L$1.001 L0.264 gal0.622 euros••

Ashley only has 7 quarters and some dimes in her purse. She needs at least $3.00 to pay for lunch. Which inequality could be used to determine the number of dimes, d, she needs in her purse to be able to pay for lunch?

1.75 1 0.10d $ 3.00 (4) 1.75 1 0.10d # 3.00

A swimmer set a world record in the women's 1500-meter freestyle, finishing the race in 15.42 minutes. If 1 meter is approximately 3.281 feet, which set of calculations could be used to convert her speed to miles per hour?

1500meters15.42min60min1hour3.281feet1meter1mile5280 feet•••

11DomainRangeyx 6 What is the value of the third quartile in the box plot shown below?14202632384450

18 (3) 36

202632384450

18 (3) 36

2632384450

18 (3) 36

Given f(x) 3x2 10, what is the value of f(2)?

2 (4) 46Use this space for computations.Algebra I - Jan. '23 [3] [OVER]

x5, ... is

2 (4) x12 3 The expression 36x2 9 is equivalent to

If f(x) x2 2x 1 and g(x) 7x 5, for which values of x is f(x) g(x)?

2 and 3Use this space for computations.Algebra I - Jan. '23 [5] [OVER]

The table below shows the number of reported polio cases in Nigeria from 2006 to 2015.Year2006200720082009201020112012201320142015Number of Cases1129285798388216212253600 What is the average rate of change, to the nearest hundredth, of the number of reported polio cases per year in Nigeria from 2006 to 2013?

2153.71Use this space for computations.Algebra I - Aug. '23 [9] [OVER]

2235OutputInput(4)453611DomainRangeyx 6 What is the value of the third quartile in the box plot shown below?1420263234450

22 (4) 46

What are the zeros of m(x) 5 x(x2 2 16)?

24, 0, and 4(2) 28 and 8, only

If g(x) 5 2x2 2 x 1 5, then g(24) is equal to

27 (4) 25

The formula for the area of a trapezoid is A 5 12(b1 1 b2)h. The height, h, of the trapezoid may be expressed as

2A b11 b2

Peter has $100 to spend on drinks for his party. Bottles of lemonade cost $2 each, and juice boxes cost $0.50 each. If x is the number of bottles of lemonade and y is the number of juice boxes, which inequality models this situation?

2x 0.50y ≤ 100(2) 0.50x 2y ≥ 100

2x 2 2 (3) y 2x 1 13(2) y 2x 2 8 (4) y 2x 2 14 4 The expression (5x2 2 x 1 4) 2 3(x2 2 x 2 2) is equivalent to

2x2 1 2x 1 10 (4) 2x4 2 2x2 1 10 5 The 24th term of the sequence 25, 211, 217, 223, ... is

What is the product of (2x 1 7) and (x 2 3)?

2x2 1 x 2 21 (4) 2x2 1 13x 2 21

The expression 13x(6x2 3x 9) is equivalent to

2x3 x2 3x(2) 2x2 3x 3

The first term in a sequence is 5 and the fifth term is 17. What is the common difference?

3(2) 12

What is the degree of the polynomial 2x 1 x3 1 5x2?

3(2) 2

Which representation yields the same outcome as the sequence defined recursively below?a1 3an 4 an 1

3, 1, 5, 9, 13,... (4) an 4 n

What is the value of x in the equation (2x 2 4)3 1 9 14?

3. (4) 8.9

In a geometric sequence, the first term is 4 and the common ratio is 3. The fifth term of this sequence is

324 (3) 108

42235OutputInput(4)453811DomainRangeyx What is the value of the third quartile in the box plot shown below?14202632384450

36(2) 22

DomainRangeyx 6 What is the value of the third quartile in the box plot shown below?14202632384450

36(2) 22

At Berkeley Central High School, a survey was conducted to see if students preferred cheeseburgers, pizza, or hot dogs for lunch. The results of this survey are shown in the table below.CheeseburgersPizzaHot DogsFemales324424Males363034 Based on this survey, what percent of the students preferred pizza?

37 (4) 74Use this space for computations.Algebra I - Aug. '22 [5] [OVER]

What is the equation of the line that passes through the point (6,23) and has a slope of 243?

3y 5 24x 1 15 (3) 23y 5 4x 1 15

2, then f(8) is

4 2 If x ≠ 0, then the common ratio of the sequence x, 2x2, 4x3, 8x

An example of a sixth-degree polynomial with a leading coefficient of seven and a constant term of four is

4 x 7x6 3x2 (4) 5x 4x6 7

A sequence is defined recursively bya1 2an 3an 1 1 What is the value of a4?

41 (3) 22

Some adults were surveyed to find out if they would prefer to buy a sports utility vehicle (SUV) or a sports car. The results of the survey are summarized in the table below.SUVSports CarTotalsMale213859Female135461Totals15684240Of the number of adults that preferred sports cars, approximately what percent were males?

45.2 (4) 82.6

20304050607080 Which number represents the third quartile?

50 (4) 75 8 What is the product of (2x 1 7) and (x 2 3)?

What is the constant term of the polynomial 4d 6 3d2?

6 (3) 3

A box plot is shown below.102030405060700 Which number represents the third quartile?

60(2) 50

Emily was given $600 for her high school graduation. She invested it in an account that earns 2.4% interest per year. If she does not make any deposits or withdrawals, which expression can be used to determine the amount of money that will be in the account after 4 years?

600(1 0.024)4(2) 600(1 0.24)4

3859Female13546181Totals15684240Of the number of adults that preferred sports cars, approximately what percent were males?

64.4(2) 45.2

Males363034 Based on this survey, what percent of the students preferred pizza?

74Use this space for computations.Algebra I - Aug. '22 [5] [OVER]13 Which situation could be modeled by a linear function?

29312415518

9 Which expression is not equivalent to (52x)3?

Which situation could be modeled by a linear function?

A gym charges a $50 initial fee and then $30 monthly.

Mrs. Rossano asked her students to explain why (3,4) is a solution to 2y 3x 1. Three student responses are given below. Andrea: "When the equation is graphed on a calculator, the point can be found within its table." Bill: "Substituting x 3 and y 4 into the equation makes it true." Christine: "The graph of the line passes through the point (3,4)." Which students are correct?

Andrea, Bill, and Christine

In an organism, the number of cells, C(d), after d days can be represented by the function C(d) 120 • 23d. This function can also be expressed as

C(d) 120 • 8d

The formula Ax By C represents the equation of a line in standard form. Which expression represents y in terms of A, B, C, and x?

CAxB (3) CAxB

In the process of solving the equation 10x2 12x 16x 6, George wrote 2(5x2 14x) 2(3), followed by 5x2 14x 3. Which properties justify George's process?A. addition property of equalityB. division property of equalityC. commutative property of additionD. distributive property

D and B

In the equation A P(1 r)t, A is the total amount, P is the principal amount, r is the annual interest rate, and t is the time in years. Which statement correctly relates information regarding the annual interest rate for each given equation?

For A P(0.86)t, the principal amount of money is decreasing at a 14% interest rate.

6}19 Three quadratic functions are given below.I.II.III.g(x)x242322210 123 2 5 5223h(x)f(x) 5 (x 1 2)2 1 5xWhich of these functions have the same vertex?

I and II, only (3) I and III, only

Different ways to represent data are shown below.0123456III01234560123456II0123456IFrequency Which data representations have a median of 2?

I and II, only (3) II and III, only

(2) x , 4 (4) x , 2Use this space for computations.Algebra I - Aug. '23 [5] [OVER]11 Three expressions are shown below.I. (x3)3II. x4 • x5III. x10 • x21 Which expressions are equivalent for all positive values of x?

I and III, only (4) I, II, and III12 Jim uses the equation A 5 P(1 1 0.05)t to find the amount of money in an account, A, of an investment, P, after t years. For this equation, which phrase describes the yearly rate of change?

Three quadratic functions are given below.I.II.III.g(x)x242322210 123 2 5 5223h(x)f(x) 5 (x 1 2)2 1 5xWhich of these functions have the same vertex?

I and III, only(2) II and III, only

Three expressions are shown below.I. (x3)3II. x4 • x5III. x10 • x21 Which expressions are equivalent for all positive values of x?

I, II, and III

Which of the equations below have the same solution?I. 10(x 5) 15II. 4 2(x 2) 9III. x1332

II and III, only(2) I and III, only

Which statement is correct about the polynomial 3x2 1 5x 2 2?

It is a second-degree polynomial with a leading coefficient of 3.

The amount of energy, Q, in joules, needed to raise the temperature of m grams of a substance is given by the formula Q mC(Tf Ti), where C is the specific heat capacity of the substance. If its initial temperature is Ti, an equation to find its final temperature, Tf, is

Tf QmCTi (4) mCTfQTi

Four quadratic functions are shown below.j(x) x2 x 412yxh(x)4210244544f(x)xg(x) (x 4)2 5 Which statement is true?

The maximum of f(x) equals the maximum of g(x).

For which function is the value of the y-intercept the smallest?xf(x)245224032241xh(x)213021326311

Use this space for computations.Algebra I - Aug. '23 [6]

A movie theater's popcorn box is a rectangular prism with a base that measures 6 inches by 4 inches and has a height of 8 inches. To create a larger box, both the length and the width will be increased by x inches. The height will remain the same. Which function represents the volume, V(x), of the larger box?

V(x) 5 (6 1 x)(4 1 x)(8)

The diagram below shows the graph of h(t), which models the height, in feet, of a rocket t seconds after it was shot into the air.163248641450h(t)t80 The domain of h(t) is

[0,4] (4) [0,64]Use this space for computations.Algebra I - Aug. '22 [8]

Jack started a new fitness program. The first day he did 10 push-ups. The program required him to increase the number of push-ups each day by doing 9 less than twice the number from the previous day. Which recursive formula correctly models Jack's new program, where n is the number of days and an is the number of push-ups on the nth day?

a1 5 10 (3) a1 5 10 an 5 2an 2 1 2 9 an 5 2(n 2 1) 2 9

What is the solution to 32b 5 17?

b (3) b 1

The function f is graphed on the set of axes below.f(x)x What is a possible factorization of this function?

f (x) 5 (x 1 1)(x 2 3) (4) f (x) 5 (x 2 1)(x 1 4)

A function is graphed below.f(x)xA possible equation for this function is

f(x) 5 (x 2 2)2(x 1 3)(2) f(x) 5 (x 2 2)(x 1 3)

What would be the order of these quadratic functions when they are arranged from the narrowest graph to the widest graph?f(x) 5x2 g(x) 0.5x2 h(x) 3x2

f(x), h(x), g(x)

(2) (x 2 3)2 5 2 (4) x 2 9 5 69 7 Which function will have the greatest value when x . 1?

g(x) 5 2(5)x (3) h(x) 5 2x2 1 5

If the zeros of the function g(x) are {3,0,4}, which function could represent g(x)?

g(x) x(x 3)(x 4)(2) g(x) (x 3)(x 4)

During summer vacation, Ben decides to sell hot dogs and pretzels on a food cart in Manhattan. It costs Ben $0.50 for each hot dog and $0.40 for each pretzel. He has only $100 to spend each day on hot dogs and pretzels. He wants to sell at least 200 items each day. If h is the number of hot dogs and p is the number of pretzels, which inequality would be part of a system of inequalities used to determine the total number of hot dogs and pretzels Ben can sell?

h p 200 (4) 0.50h 0.40p 200 Algebra I - Jan. '23 [8]

Tables of values for four functions are shown below.xf(x)0617210315422xg(x)001222223044xh(x)01122438416xj(x)021528311414 Which table best represents an exponential function?

h(x)(2) g(x)

Morgan read that a snail moves about 72 feet per day. He performs the calculation •••1 day1 day12 inches1 hour hours 60 minutes1 foot72 feet to convert this rate to different units. What are the units for the converted rate?

inches/minute

Based on the graph, the café owner saw a continual

increase in customers from 12:00 to 3:00

Jim uses the equation A 5 P(1 1 0.05)t to find the amount of money in an account, A, of an investment, P, after t years. For this equation, which phrase describes the yearly rate of change?

increasing by 5%(2) decreasing by 0.05%

xg(x)0012222044xh(x)01122438416xj(x)021528311414 Which table best represents an exponential function?

j(x)18 If f (x) 5 x2 1 3x, then which statement is true?

The expression (m 3)2 is equivalent to

m2 6m 9(2) m2 9

Caitlin graphs the function f(x) ax2, where a is a positive integer.If Caitlin multiplies a by 2, when compared to f(x), the new graph will become

narrower and open downward

Skyler mows lawns in the summer. The function f(x) is used to model the amount of money earned, where x is the number of lawns completely mowed. A reasonable domain for this function would be

natural numbers

A store manager is trying to determine if they should continue to sell a particular brand of nails. To model their profit, they use the function p(n), where n is the number of boxes of these nails sold in a day. A reasonable domain for this function would be

nonnegative integers (3) real numbers

Ian throws a ball up in the air and lets it fall to the ground. The height of the ball, h(t), is modeled by the equation h(t) t2 6t 3, with h(t) measured in feet, and time, t, measured in seconds. The number 3 in h(t) represents

the height from which the ball is thrown

t2 6t 3, with h(t) measured in feet, and time, t, measured in seconds. The number 3 in h(t) represents

the height from which the ball is thrown

Which domain is most appropriate for a function that represents the number of items, f(x), placed into a laundry basket each day, x, for the month of January?

whole numbers (4) irrational numbers

What is the solution to the inequality below?4 2 25x $ 13x 1 15

x # 215(2) x $ 11

The length of a rectangular flat-screen television is six inches less than twice its width, x. If the area of the television screen is 1100 square inches, which equation can be used to determine the width, in inches?

x(2x 2 6) 5 1100 (3) 2x 1 2(2x 2 6) 5 1100

, ... is

x12 3 The expression 3

Which table of values represents an exponential relationship?xf(x)162312415518

xh(x)1227312417522(2)xp(x)1-.52-123-14.54-175-1.5

(4) 49 1 9 3 Which linear equation represents a line that passes through the point (23,28)?

y 2x 2 8 (4) y

1 1 (3) 36 1 7(2) 25 1 4 (4) 49 1 9 3 Which linear equation represents a line that passes through the point (23,28)?

y 5 2x 1 13(2) y 5 2x 2 8

(2) 25 1 4 (4) 49 1 9 3 Which linear equation represents a line that passes through the point (23,2)?

y 5 2x 2 2 (3) y 5 2x 1 13

3 Which linear equation represents a line that passes through the point (23,28)?

y 5 2x 2 8 (4) y 5 2x 2 14 4 The expression (5x2 2 x 1 4) 2 3(x2 2 x 2 2) is equivalent to

The graphs below represent four polynomial functions. Which of these functions has zeros of 2 and 3?yx

yx(2)yx

Which relation is a function?

yx{(0,1), (2,3), (3,2), (3,4)}x, 1 x 2x2, 2 x 4{y

The solution to 2x2 5 72 is

{66}