Answers NJ-Algebra I CRCumulative Exam

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The table shows how an elevator 500 feet above the ground is descending at a steady rate.

h(t) = 5t + 500

h(t) = 5t – 500

h(t) = –5t + 500

h(t) = –5t – 500

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Yesterday, Selma read 75 pages of her book. If she reads at a pace of 2 pages per minute today, which table shows only viable solutions for the total number of pages she has read, y, after x minutes have elapsed?

A 2-column table with 4 rows titled Selma's Reading. The first column is labeled minutes of reading (x) with entries 2, 14, 39, 55. The second column is labeled total pages read (y) with entries 79, 101, 153, 185.

A 2-column table with 4 rows titled Selma's Reading. The first column is labeled minutes of reading (x) with entries negative 16, 6, 27, 52. The second column is labeled total pages read (y) with entries 43, 87, 129, 179.

A 2-column table with 4 rows titled Selma's Reading. The first column is labeled minutes of reading (x) with entries 0, 19, 32, 47. The second column is labeled total pages read (y) with entries 0, 113, 139, 169.

A 2-column table with 4 rows titled Selma's Reading. The first column is labeled minutes of reading (x) with entries 0, 11, 20.25, 58. The second column is labeled total pages read (y) with entries 75, 97, 115.5, 191.

Which is the graph of linear inequality 6x + 2y > –10?

Option

Which graph represents the function g(x) = |x + 4| + 2?

Option

A function g(x) is defined as shown.g(x) = What is the value of g(4)?

Which system of linear inequalities has the point (2, 1) in its solution set?

y less-than negative x + 3. y less-than-or-equal-to one-half x + 3

y less-than negative one-half x + 3. y less-than one-half x.

Option

y less-than one-half x. y less-than-or-equal-to negative one-half x + 2

Which is the graph of y – 3 = (x + 6)?

Option

The function f(t) represents the cost to connect to the Internet at an online gaming store. It is a function of t, the time in minutes spent on the Internet.f(t) =Which statement is true about the Internet connection cost?

It costs $5 per hour to connect to the Internet at the gaming store.

The first half hour is free, and then it costs $5 per minute to connect to the Internet.

It costs $10 for each 90 minutes spent connected to the Internet at the gaming store.

Any amount of time over an hour and a half would cost $10.

Which graph shows the solution to the system of linear inequalities?2x – 3y <12y < –3

Option

Which graph represents the function y = 2x – 4?

Option

On a coordinate plane, a curved line with minimum values of (negative 2, 0) and (2.4, negative 51) and a maximum value of (negative 0.75, 6), crosses the x-axis at (negative 2, 0), (0, 0), and (3.5, 0), and crosses the y-axis at (0, 0).

As the x-values go to positive infinity, the function's values go to negative infinity.

As the x-values go to zero, the function's values go to positive infinity.

As the x-values go to negative infinity, the function's values are equal to zero.

As the x-values go to negative infinity, the function's values go to positive infinity.

Which linear function represents the line given by the point-slope equation y – 2 = 4(x – 3)?

f(x) = 6x – 1

f(x) = 8x – 6

f(x) = 4x – 14

f(x) = 4x – 10

Line JK passes through points J(–3, 11) and K(1, –3). What is the equation of line JK in standard form?

7x + 2y = –1

7x + 2y = 1

14x + 4y = –1

14x + 4y = 1

Which table represents viable solutions for y = 5x, where x is the number of tickets sold for the school play and y is the amount of money collected for the tickets?

A 2-column table with 4 rows titled School Play Tickets. The first column is labeled tickets (x) with entries negative 100, negative 25, 40, 600. The second column is labeled money collected (y) with entries negative 500, negative 125, 250, 3000.

A 2-column table with 4 rows titled School Play Tickets. The first column is labeled tickets (x) with entries negative 20, 20, 100, 109. The second column is labeled money collected (y) with entries negative 100, 100, 500, 545.

A 2-column table with 4 rows titled School Play Tickets. The first column is labeled tickets (x) with entries 0, 10, 51, 400. The second column is labeled money collected (y) with entries 0, 50, 255, 2000.

A 2-column table with 4 rows titled School Play Tickets. The first column is labeled tickets (x) with entries 5, 65, 80, 200. The second column is labeled money collected (y) with entries 25, 350, 400, 1000.

The graph of f(x) = is reflected over the y-axis. Use the graphing calculator to graph this reflection. Which list contains three points that lie on the graph of the reflection?

(–81, 9), (–36, 6), (–1, 1)

(1, –1), (16, –4), (36, –6)

(–49, 7), (–18, 9), (–1, 1)

(1, –1), (4, –16), (5, –25)

At a carnival, food tickets cost $2 each and ride tickets cost $3 each. A total of $1,240 was collected at the carnival. The number of food tickets sold was 10 less than twice the number of ride tickets sold.The system of equations represents x, the number of food tickets sold, and y, the number of ride tickets sold.2x + 3y = 1240 x = 2y – 10How many of each type of ticket were sold?

180 food tickets and 293 ride tickets

180 food tickets and 350 ride tickets

293 food tickets and 180 ride tickets

350 food tickets and 180 ride tickets

Which is the graph of linear inequality x – 2y ≥ –12?

Option

A sequence is defined by the recursive function f(n + 1) = f(n). If f(3) = 9 , what is f(1) ?

Sonji has $5.25 in nickels and dimes.The coin value can be modeled by the equation , where d represents the number of dimes and n represents the number of nickels. If Sonji has 21 dimes, how many nickels does she have?

105

The tables represent the functions f(x) and g(x).

x = –12

x = –9

x = –6

x = –3

Which equation is equivalent to –k + 0.03 + 1.01k = –2.45 – 1.81k?

–100k + 3 + 101k = –245 – 181k

–100k + 300 + 101k = –245 – 181k

–k + 3 + 101k = –245 – 181k

–k + 300 + 101k = –245 – 181k

Marlena created a table of values representing the height in feet, h(t), of a coconut falling to the hard ground with a height of 0 feet, collected over t seconds. Assume the coconut does not bounce and rests on the ground when it lands.

The initial height of the coconut is 190 feet.

The coconut will hit the ground between 4 and 5 seconds after it was dropped.

The values of h(t) when t = 4 and 5 should be 0.

The maximum height of the coconut was 1 second after it was dropped.

What is the solution to the linear equation?–12 + 3b – 1 = –5 – b

b = –2

b = –1.5

b = 1.5

b = 2

Which sequences are arithmetic? Select three options.–8.6, –5.0, –1.4, 2.2, 5.8, …2, –2.2, 2.42, –2.662, 2.9282, …5, 1, –3, –7, –11, …–3, 3, 9, 15, 21, …–6.2, –3.1, –1.55, –0.775, –0.3875, …

–8.6, –5.0, –1.4, 2.2, 5.8, …

2, –2.2, 2.42, –2.662, 2.9282, …

5, 1, –3, –7, –11, …

–3, 3, 9, 15, 21, …

–6.2, –3.1, –1.55, –0.775, –0.3875, …

Gina wants to take dance classes. She compares two dance studios to determine which has the best deal for her. Dance World charges a rate for each class. Toe Tappers charges a rate for each class plus a one-time registration fee. The system of equations shown models the total costs for taking x classes at each.Dance World: y = 15xToe Tappers: y = 25 + 12.5xHow many classes would Gina need to take for the total cost to be the same at both dance studios?

100

150

The graph represents the data cost for monthly Internet service for a cell phone.

C(x) =

What is the value of x in the equation (x + 12) = (x + 14) – 3?

–24

–6

negative StartFraction 2 Over 3 EndFraction.

Manny has 48 feet of wood. He wants to use all of it to create a border around a garden. The equation can be used to find the length and width of the garden, where l is the length and w is the width of the garden. If Manny makes the garden 15 feet long, how wide should the garden be?

9 feet

18 feet

30 feet

33 feet

The simple interest formula is I = Prt, where I represents simple interest on an amount, P, for t years at a rate of r, where r is expressed as a decimal.

$60

$80

$90

$100

The potential energy, P, in a spring is represented using the formula P = kx2. Lupe uses an equivalent equation, which is solved for k, to determine the answers to her homework.

k = 2Px2

k = Px2

k =

Gerri purchases a coupon book with discounts for her favorite coffee shop. Every coupon for the coffee shop offers the same discount. The table shows her total savings, y, based on the number of coupons, x, used from the book.

slope: 2, y-intercept: –20

slope: 2, y-intercept: 10

slope: 5, y-intercept: –20

slope: 5, y-intercept: 10

The formula for density is given by , where p is density, M is mass and V is volume. If a substance has a mass of 27.82 grams and a volume of 3.6 ml, what is the most accurate density of the substance in g/ml?

7.7

7.7278

7.73

0.1

The weight of Jacob’s backpack is made up of the weight of the contents of the backpack as well as the weight of the backpack itself. Seventy percent of the total weight is textbooks. His notebooks weigh a total of 4 pounds, and the backpack itself weighs 2 pounds. If the backpack contains only textbooks and notebooks, which equation can be used to determine t, the weight of the textbooks?

0.7(t) = t – 4 – 2

0.7(t) = t + 4 + 2

0.7t(4 + 2) = t

0.7(t + 4 + 2) = t

Percy works two part-time jobs to help pay for college classes. On Monday, he works 3 hours at the library and 2 hours at the coffee cart and earns $36.50. On Tuesday, he works 2 hours at the library and 5 hours at the coffee cart and earns $50. His hourly wage at the library, x, and hourly wage at the coffee cart, y, can be determined using the system of equations below.3x + 2y = 36.502x + 5y = 50.00

Percy earns a greater hourly wage of $7.00 at the library.

Percy earns a greater hourly wage of $7.00 at the coffee cart.

Percy earns a greater hourly wage of $7.50 at the library.

Percy earns a greater hourly wage of $7.50 at the coffee cart.

On a coordinate plane, a curved line, labeled f of x, with a minimum value of (negative 1.9, negative 5.7) and a maximum value of (0, 2) crosses the x-axis at (negative 2.5, 0), (negative 0.75, 0), and (0.75, 0), and crosses the y-axis at (0, 2).

F(x) < 0 over the intervals (–∞, –2.5) and (–0.75, 0.75).

F(x) > 0 over the intervals (–∞, –2.5) and (–0.75, 0.75).

F(x) < 0 over the intervals ( –2.5, –0.75) and (–0.75, ∞).

F(x) > 0 over the intervals ( –2.5, –0.75) and (0.75, ∞).

The inverse of the function f(x) = is shown. h(x) = 2x-What is the missing value?

The function y = – 3 is graphed only over the domain of {x | –8 < x < 8}. What is the range of the graph?

{y | –5 < y < 5}

{y | –5 < y < –1}

{y | 1 < y < 5}

{y | 1 < y < –1}

How many intersections are there of the graphs of the equations below?x + 5y = 63x + 30y = 36

none

one

two

infinitely many

The graph of y = is a horizontal translation of y = . Which is the graph of y = ?

On a coordinate plane, a cube root function goes through (negative 8, negative 2), has an inflection point at (2.5, 0), and goes through (10, 2).

On a coordinate plane, a cube root function goes through (negative 10, negative 2), has an inflection point at (negative 3, 0), and goes through (4, 2).

On a coordinate plane, a cube root function goes through (negative 10, 1), has an inflection point at (0, 3), and goes through (8, 5).

On a coordinate plane, a cube root function goes through (negative 8, negative 5), has an inflectoin point at (0, negative 3), and goes through (8, negative 1).

Using a stopwatch, Tyrone determines it takes him 58.2 minutes to travel 30 miles to work. The stopwatch measures to hundredths of a minute. Going by the accuracy of the stopwatch, which is the most accurate determination for the number of feet per second Tyrone traveled on his way to work?1 mile = 5,280 feet

19.8 feet per second

19.84 feet per second

45.3 feet per second

45.36 feet per second

What is the missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x?1. The distributive property: 4x – 12 + 4 < 10 + 6x2. Combine like terms: 4x – 8 < 10 + 6x3. The addition property of inequality: 4x < 18 + 6x4. The subtraction property of inequality: –2x < 18 5. The division property of inequality: ________

x < –9

x > –9

x <

x > –

Ray was in charge of filling the soccer team’s water jug for practice. At the beginning of practice he filled the jug. Halfway through practice the team took a water break. After the break Ray refilled the jug so the players could have water after practice. At the end of practice Ray drained the jug. Which graph could represent the level of the water in the jug during and after practice?

Option

Which are points on the graph of y = 1.5 + ⌈x⌉? Select three options (–4.5, –2.5)(–0.8, 0.5)(7.9, 9.5)(4.5, 6)(1.3, 3.5)

(–4.5, –2.5)

(–0.8, 0.5)

(7.9, 9.5)

(4.5, 6)

(1.3, 3.5)

What is the inverse of the function f(x) = 4x + 8?

h(x) = x – 2

h(x) = x + 2

h(x) = x – 2

h(x) = x + 2

Becky created a graph to represent her distance away from home one afternoon. She left home and ran to the park, met some friends and stayed at the park, and then walked back home using the same route. Which graph could Becky have created?

Option

A 2-column table with 8 rows. The first column is labeled t with entries negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries negative 54, negative 20, negative 4, 0, negative 2, negative 4, 0, 16.

(–4, 1)

(–4, –1)

(–1,1)

(–1, 2)

The table represents a function.

Option

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