Answers 2526H ALGEBRA I A CRCumulative Exam

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

Option

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What is the solution (a, c) to this system of linear equations?2a – 3c = –6 a + 2c = 11

(negative StartFraction 76 over 7 EndFraction, StartFraction 17 over 7 EndFraction)

(3, –4)

(3, 4)

(StartFraction 87 over 7 EndFraction, negative StartFraction 5 over 7 EndFraction)

The crew of a garbage truck takes 5 hours to empty all the bins in one neighborhood on pickup day. The city assigned a second garbage truck to this neighborhood. During their training, it took the crew from the second truck 8 hours to empty all the bins.

0.6

0.5

0.7

0.4

A team is selling discount cards as a fundraiser. The table shows the number of cards sold and the remaining amount of money needed.

zero

undefined

negative

positive

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

none

one

two

infinitely many

The table represents a function.

Option

Shannon graphed the system of equations.7x – 4y= –8y = x – 3What is the closest approximate solution to the system of equations?

(–5, –7.2)

(–5, –6.8)

(–5, –6.2)

(–5, –5.9)

What is the vertex of the graph of f(x) = |x – 13| + 11?

(–11, 13)

(–13, 11)

(11, 13)

(13, 11)

How many solutions does this linear system have?y = x+ 2 6x – 4y = –10

one solution: (–0.6, –1.6)

one solution: (–0.6, 1.6)

no solution

infinite number of solutions

What is the solution to –2(8x – 4) < 2x + 5?

x >

x <

x > 6

x < 6

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, ∞).

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

Elias and Niko are polishing the silver at the heritage museum. Elias could polish all the silver himself in 40 minutes. That task would take Niko 50 minutes to complete alone. Which table is filled in correctly and could be used to determine how long it would take if Elias and Niko polished the silver together?

A table showing Rate in part per minute, Time in minutes, and Part of Silver Polished. The First row shows Elias, and has StartFraction 1 Over 40 EndFraction, t, and StartFraction 1 Over 40 EndFraction t. The second row shows Niko and has, StartFraction 1 Over 50 EndFraction, t, and StartFraction 1 Over 50 EndFraction t.

A table showing Rate in part per minute, Time in minutes, and Part of Silver Polished. The First row shows Elias, and has r, StartFraction 1 Over 40 EndFraction, and StartFraction 1 Over 40 EndFraction r. The second row shows Niko and has, r, StartFraction 1 Over 50 EndFraction, and StartFraction 1 Over 50 EndFraction r.

A table showing Rate in part per minute, Time in minutes, and Part of Silver Polished. The First row shows Elias, and has 40, t, and 40 t. The second row shows Niko and has, 50, t, and 50 t .

A table showing Rate in part per minute, Time in minutes, and Part of Silver Polished. The First row shows Elias, and has r, 40, and 40 r. The second row shows Niko and has, r 50, and 50 r .

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

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

Which scenario can be represented using the inequalities below?1.25 < x < 1.5

A container of milk costs at least $1.25 but less than $1.50.

A student spends at least 1 hour 15 minutes, but no more than 1 hour 30 minutes on homework.

A tip added to a restaurant bill is less than or equal to 25% or less than or equal to 50%.

The point value of a test item is more than 1.25 points and less than 1.5 points.

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

A recipe calls for cup of broth. The largest volume-measuring tool that Tabitha has is a teaspoon. She knows that there are 16 tablespoons in 1 cup and 3 teaspoons in 1 tablespoon. How many teaspoons of broth should she use?

teaspoons

12 teaspoons

19 teaspoons

teaspoons

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

This mapping shows a functional relationship.

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

b = –2

b = –1.5

b = 1.5

b = 2

Wren recorded an outside temperature of –2°F at 8 a.m. When she checked the temperature again, it was 4°F at 12:00 p.m. If x represents the time and y represents the temperature in degrees Fahrenheit, what is the slope of the line through these two data points?

–1.5

–0.5

0.5

1.5

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

x = –12

x = –9

x = –6

x = –3

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 > –

The table shows the total cost of purchasing x same-priced items and a catalog.

$4, the cost per item

$4, the cost of the catalog

$6, the cost per item

$6, the cost of the catalog

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

Two solutions of different concentrations of acid are mixed creating 40 mL of a solution that is 32% acid. One-quarter of the solution is made up of a 20% acid solution. The remaining three-quarters is made up of a solution of unknown concentration, c.Which equation can be used to determine c, the unknown concentration?

30c + 10(0.2) = 40(0.32)

(c)( (0.2)) = 40(0.32)

30(c)(10(0.2)) = 40(0.32)

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

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

–24

–6

negative StartFraction 2 Over 3 EndFraction.

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

Option

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

An electrician is hired to install a ceiling fan. She estimates that the installation will take no more than 45 minutes if the house is up to building code. If the house is not up to building code, she estimates that the installation will take longer than 120 minutes. Which graph represents the number of minutes it could take her to install the fan?

Option

When a number is added to of itself, the result is 24. The equation that models this problem is n + n = 24. What is the value n?

n = 18

n = 20

n = 21

n = 23

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.

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

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)

Which table represents a direct variation function?

A table with 6 columns and 2 rows. The first row, x, has the entries, negative 3, negative 1, 2, 5, 10. The second row, y, has the entries, negative 4.5, negative 3.0, negative 1.5, 0.0, 1.5.

A table with 6 columns and 2 rows. The first row, x, has the entries, negative 5.5, negative 4.5, negative 3.5, negative 2.5, negative 1.5. The second row, y, has the entries, 10, 8, 6, 4, 2.

A table with 6 columns and 2 rows. The first row, x, has the entries, negative 5.5, negative 5.5, negative 5.5, negative 5.5, negative 5.5. The second row, y, has the entries, negative 3, negative 1, 2, 5, 10.

A table with 6 columns and 2 rows. The first row, x, has the entries, negative 3, negative 1, 2, 5, 10. The second row, y, has the entries, negative 7.5, negative 2.5, 5.0, 12.5, 25.0.

Jeremy is making a trail mix containing raisins and peanuts. Raisins cost $1.50 per pound. Peanuts cost $2.50 per pound. Jeremy spends $10.50 to make 5 pounds of trail mix. He uses the table below to organize this information.Which equation can Jeremy use to determine the amount of raisins in the trail mix?

r + 1.50 = 1.5r

r + (5 – r) = 5

1.5r + 2.5(5 – r) = 10.50

1.5r + 2.5(5 – r) = 5

The perimeter of a rectangular pool is more than 62 meters, and the width is at least 10 meters less than the length. Which system of inequalities represents the possible length in meters, l, and the possible width in meters, w, of the pool?

w ≤ 10 – l2l + 2w ≥ 62

w ≤ 10 – l2l + 2w > 62

w ≤ l – 102l + 2w ≥ 62

w ≤ l – 102l + 2w > 62

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 is the graph of y – 3 = (x + 6)?

Option

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

On a coordinate plane, a v-shaped line crosses the x-axis at (negative 2, 0), the y-axis at (0, negative 2), and the x-axis at (2, 0).

all real numbers

all real numbers greater than or equal to –2

all real numbers greater than or equal to –5

all real numbers greater than or equal to 0

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

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.

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.

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

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

C(x) =

A mapping diagram shows a relation, using arrows, between input and output for the following ordered pairs: (negative 3, negative 4), (0, negative 4), (negative 2, 2), (negative 2, negative 1), (1, negative 3), (3, 7).

(–3, –4)

(–2, –1)

(1, –3)

(3, 7)

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