Answers JHS-Algebra 1A full yearCumulative Exam

Graphing on the Coordinate Plane Answers

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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

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The number of hot peppers in a salad is based on the number of servings, as shown in the table below.SaladServingsHot peppers24488?1224How many hot peppers are in an 8-serving salad?

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 .

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

The point is plotted on the number line. What whole number best approximates the value of 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)

Heston Wagons reported in June that 20 out of 500 wagons failed inspection. In July, they reported that 25 out of 625 wagons failed inspection. Which proportion can be used to represent the wagon failures?

StartFraction 25 over 20 EndFraction = StartFraction 500 over 625 EndFraction

StartFraction 20 over 25 EndFraction = StartFraction 625 over 500 EndFraction

StartFraction 20 over 500 EndFraction = StartFraction 625 over 25 EndFraction

StartFraction 20 over 500 EndFraction = StartFraction 25 over 625 EndFraction

What is the solution to the equation ?

r = 2.75

r = 3.75

r = 5.25

r = 5.75

Which expression represents a rational number?

StartFraction 5 Over 9 EndFraction + StartRoot 18 EndRoot

Pi + StartRoot 16 EndRoot

StartFraction 2 Over 7 EndFraction + StartRoot 121 EndRoot

StartFraction 3 Over 10 EndFraction + StartRoot 11 EndRoot

The table shows the number of blue marbles and red marbles that four friends have collected. Blue and Red Marbles BlueRedJasmine1210Aaron32Lucian1010Gretchen142Which person has the highest ratio of blue to red marbles?

Jasmine

Aaron

Lucian

Gretchen

Which phrase describes the algebraic expression ?

the product of 8 and 7 more than a number

the quotient of 8 and 7

8 times the sum of a number and 7

8 times a number plus 7

Which expression correctly represents “six more than the quotient of three and a number, decreased by eight”?

6 + StartFraction 3 Over n EndFraction minus 8

6 + StartFraction n Over 3 EndFraction minus 8

6 + StartFraction 3 Over n EndFraction + 8

6 + StartFraction n Over 3 EndFraction + 8

This mapping shows a functional relationship.

Several friends bought flowers to make table centerpieces. Write the ratios of purple flowers to white flowers for each friend.Bouquets Colors Purple FlowersWhite FlowersRowan82Marcia101Jillian102Lulua183Who has the largest ratio of purple to white flowers?

Rowan

Marcia

Jillian

Lulua

What is the value of “three less than the quotient of six and a number, increased by nine” when n = 3?

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, …

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

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 =

The table represents a function.

Option

On a history test, Rasha scored 40 points on the essay portion. In addition to the essay, there were multiple-choice questions worth three points each. Which expression represents Rasha’s total points if she answered p multiple-choice questions correctly?

3 + 40p

3 + p + 40

mc015-1.jpg

40 + 3p

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

–24

–6

negative StartFraction 2 Over 3 EndFraction.

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

b = –2

b = –1.5

b = 1.5

b = 2

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

Mike found the difference between 18 and a number, n. Which is the correct expression and difference if ?

18 – n; when the value is 12.

; when the value is 24.

; when the value is 12.

18 – n; when the value is 24.

Which situation can be represented by a single expression?

The product of and a number is 16.

of a number

Half of a number is 15.

The difference of 20 and a number is 14.

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

Which expressions are equivalent when and ?

and

What is k equal to if ?

1.6

2.5

3.8

4.8

Which is the best estimate of to the nearest hundredth?

0.96

0.97

0.98

1.00

Which of these is a ratio table?

A 2-column table has 3 rows. Column 1 is labeled A with entries 1, 2, 3. Column 2 is labeled B with entries 5, 6, 7.

A 2-column table has 3 rows. Column 1 is labeled A with entries 1, 2, 3. Column 2 is labeled B with entries 4, 5, 7.

A 2-column table has 3 rows. Column 1 is labeled A with entries 1, 2, 3. Column 2 is labeled B with entries 1, 4, 9.

A 2-column table has 3 rows. Column 1 is labeled A with entries 1, 2, 3. Column 2 is labeled B with entries 2, 4, 6.

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

Which phrases can be used to represent the inequality ? Select two options.

The product of 6.5 and the sum of a number and 1.5 is no more than 21.

The sum of 1.5 and the product of 6.5 and a number is no greater than 21.

The product of 6.5 and a number, when increased by 1.5, is below 21.

The product of 6.5 and a number, when increased by 1.5, is at most 21.

The sum of 1.5 and the product of 6.5 and a number is at least 21.

Which statement is true about the value of ?

StartAbsoluteValue negative 14 EndAbsoluteValue = negative 14

StartAbsoluteValue negative 14 EndAbsoluteValue less-than 14

It is the distance between –14 and 0 on the number line.

It is the distance between –14 and 14 on the number line.

The cost of 6 movie tickets is $57.00. What is the cost of 8 movie tickets?

$59.00

$63.00

$65.00

$76.00

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

Paul drives his delivery van 675 miles in 3 days. At this rate, how far will he drive in 15 days?

45 miles

225 miles

2,025 miles

3,375 miles

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

x >

x <

x > 6

x < 6

Which description matches the algebraic expression ?

the sum of b and ninety-eight

the difference of b and ninety-eight

the quotient of b and ninety-eight

the product of b and ninety-eight

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 > –

Latesha justifies whether the expression 4x – 3 is equivalent to by letting in both expressions. Which values should Latesha compare to justify whether the expressions are equivalent?