Patterns, Functions and Algebra

Released SOLs

Notes

• Questions from all released SOLs• 2004 and 2007 questions are labeled as such

in upper left corner• SOLs are attached to enable “results by

standards” reports• Slides can be hidden by using the “Hide slide”

button on the Slide Show ribbon– Use when you don’t want to use certain test

questions

Which is true for all pairs of values in the table? (SOL 8.14a)

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32

1. y = 2x – 22. y = 2x + 23. y = 4x4. y =x +3

What value of y makes y +(4 - 2y) = 2 true? (SOL 8.15)

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32

1. 02. 23. 34. 4

When 10 is added to the product of 5 and a number, the result is 50. What is the number?

(SOL 8.15)

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32

1. 52. 83. 104. 12

Which graph shows a line thatcontains the points in the table of ordered pairs? (SOL 8.16)

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A.B.

C. D.

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32

1. A2. B3. C4. D

x y3 10 -2-3 -5

The Vasquez family drove 165 miles in 3 hours. At this same rate, how many miles could they

travel in 8 hours? (SOL 8.17)

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32

1. 61.8752. 423.33. 4404. 520

A rock that weighed 1.2 pounds on the moon weighed 7.06 pounds on Earth. About how much would an astronaut who

weighs 174 pounds on Earth weigh on the moon? (SOL 8.17)

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32

1. 14.5 lbs2. 24.65 lbs3. 29.58 lbs4. 1, 023.53 lbs

A car-rental agency charges $38 per day plus $0.21 for each mile driven. Sandra paid $88.40 for renting a car from them for one day. Which of the following

could be used to find the number of miles she drove that day? 8.17

1 2 3 4 5 0.2

1x +

38

= 8.

..

0.2

1x =

88.

4

38x

= 0

.21(

88...

.

38x

+ 0

.21

= 8.

..

25% 25%25%25%A. 0.21x + 38 = 88.4B. 0.21x = 88.4C. 38x = 0.21(88.4)D. 38x + 0.21 = 88.4

2004

What value for t makes this equation true? 8.15

1 2 3 4 5

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2004

A. 17B. 31C. 89D. 103

Which number replaces the ‘‘?’’ in the table? 8.14b

1 2 3 4 5

25% 25%25%25%A. 1/81B. 1/9C. -1D. -9

2004

Ron wanted to find a rule for finding the terms in this sequence of numbers.

1 2 6 24 ...He rewrote the first four terms this way.

1 1·2 1·2·3 1·2·3·4If Ron continues to write terms this way, what will

be the sixth term in the sequence? 8.17

1 2 3 4 5 216

480

600

720

25% 25%25%25%

2004

A. 216B. 480C. 600D. 720

Jeffrey’s dogs ate 42 pounds of food during July. At that rate, which is closest

to the number of days a 100-pound bag of dog food would last? 8.17

1 2 3 4 5

3 74 135

140

25% 25%25%25%A. 3B. 74C. 135D. 140

2004

What is the solution to½x + 3 = 7? 8.15

1 2 3 4 52 4 5 8

25% 25%25%25%

2004

A. 2B. 4C. 5D. 8

Don is solving the sentence below for x.5x – 8 = 0

Which of the following is equivalentto this sentence? 8.15

1 2 3 4 5 x –

8 =

1/5

x –

8 =

-5

5x

= 8

5x

= -8

25% 25%25%25%A. x – 8 = 1/5B. x – 8 = -5C. 5x = 8D. 5x = -8

2004

Laureen is studying her genealogy and has started a family tree of ancestors from which she is directly

descended. Laureen has been able to identify direct ancestors for six previous generations. How many

direct ancestors does she have in the 6th generation before hers? 8.17

1 2 3 4 5 12 16 32 64

25% 25%25%25%

2004

A. 12B. 16C. 32D. 64

Laurie used 5 yards of fabric to make 2 costumes for the school play. How many yards of fabric would she need to make 20 more of

these costumes? 8.17

1 2 3 4 5

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A. 8B. 27C. 40D. 50

2004

Part of the statement below is circled. Which best describes the circled part of

the statement? 8.18

1 2 3 4 5

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2004

A. CoefficientB. VariableC. TermD. Expression

Which graph corresponds toy = 2x - 2? 8.16

1 2 3 4 5

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A. B.

C. D.

A. AB. BC. CD. D

2004

Which means “the sum of 8 and 4 times a number is 36”? 8.15

1 2 3 4 5 8

x +

4 =

36

4x

+ 8

= 36

4(x

+ 8

) = 3

6

4x

= 36

+ 8

25% 25%25%25%

2004

A. 8x + 4 = 36B. 4x + 8 = 36C. 4(x + 8) = 36D. 4x = 36 + 8

A parking garage charges $2.00 for the first hour and $0.80 for each additional hour.

Which of the following could be used to find C, the cost in dollars of parking h hours? 8.15

1 2 3 4 5 C

= 0

.80(

h - 1

...

C =

2(h

- 1)

+...

C =

2.8

0(h

- 1...

C =

3.6

0(h

- 1...

25% 25%25%25%

2004

A. C = 0.80(h - 1) + 2B. C = 2(h - 1) + 0.80C. C = 2.80(h - 1)D. C = 3.60(h - 1)

Which is the function described by thetable of ordered pairs? 8.14a

1 2 3 4 5

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2004

A. y = x + 1B. y = 3xC. y = 2x + 3D. y = x + 13

A taxi charges $2.00 for up to and including the first mile, and $1.60 for each mile

thereafter. What would the taxi charge for a trip of 4 miles? 8.17

1 2 3 4 5$6.40 $6.80 $8.00 $8.40

25% 25%25%25%A. $6.40B. $6.80C. $8.00D. $8.40

2004

A bottle of liquid dog vitamins indicates that a dog gets 2 drops of vitamins each day for

every 5 pounds of body weight. How many drops of vitamins should a 20-pound dog get

each day? 8.17

1 2 3 4 5 2 4 8 22

25% 25%25%25%

A. 2B. 4C. 8D. 22

2004

A function of x containing four ordered pairs of the form (x, y) is shown below.

{(1,3),(2,4),(5,7),(6,8)}What is the domain of the function? 8.14a

{1,2,5,6}

{3,4,7,8}

{1,2,3,4}

{5,6,7,8}

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A. {1,2,5,6}B. {3,4,7,8}C. {1,2,3,4}D. {5,6,7,8}

2007

Given the function of x defined byy = 3x + 5,

if the domain is {−4,−1,2,5}, what is the range?8.14a

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. {−20,−11,−2,7}B. {−7,−3,−2,−1}C. {−3,−2,−1,0}D. {−7,2,11,20}

2007

Which statement generalizes the pattern shown in the table below? 8.17

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A. Choice OneB. Choice TwoC. Choice ThreeD. Choice Four

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

2007

What is the solution to

4 6 96144

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 4B. 6C. 96D. 144

2007

8.15

The formula shows that c, the total cost of buying pizzas at Al’s Restaurant, depends on p, the number

of pizzas ordered.c = 9p

What is the independent variable in the formula? 8.18

p c 9 =

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A. pB. cC. 9D. =

2007

A. 275B. 27.5C. 9.09D. 9

What is the solution to the proportion below? 8.17

27527.5

9.09 9

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

2007

Which table could be used to graph the following? 8.14b

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. AB. BC. CD. D

A. B. C. D.

2007

Which is the closest to the circumference of a circle with a diameter of 17 inches? 8.17

27 in.

53 in.

227 in.

907 in.

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 27 in.B. 53 in.C. 227 in.D. 907 in.

2007

A cylindrical chemical tank is 12 feet high and has a diameter of 45 feet.Which is closest to the number of cubic feet of liquid the tank will hold? 8.17

3815119076

15890141

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

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A. 38,151B. 19,076C. 15,890D. 141

2007

Which is true for all pairs of values in the table below? 8.14b

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. AB. BC. CD. D

A. B.

C. D.

2007

What value of x makes the following statement true? 8.15

19 = 5x + 4

23 15 4 3

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 23B. 15C. 4D. 3

2007

Which is one of the solutions to the following? 8.15

2x + 4 < 12

6 5 4 3

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

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A. 6B. 5C. 4D. 3

2007

Which is a table of ordered pairs defined by y = 2x − 12? 8.14b

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. AB. BC. CD. D

A. B.

C. D.

2007

Which table of ordered pairs could be used to graph y = 4x – 5? 8.14b

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. AB. BC. CD. D

A. B.

C. D.

2007

A towing company charges a flat fee of $50 in addition to $2 a mile to tow vehicles. Which equation shows the relation between y, the

total cost, and x, the number of miles a vehicle is towed?

A B C D

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A. A

B. B

C. C

D. D

Which graph best represents the following? y = x − 3

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

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A. AB. BC. CD. D

A. B.

C. D.

Which is one value of the set of x that makes the following true? 7x + 3 > 17

0 1 2 3

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

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A. 0B. 1C. 2D. 3

Which ordered pair (x, y) is a solution to the following? Y = 3x + 10

(2,13)

(1,11)

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

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A. (2,13)B. (−2,16)C. (−3,1)D. (1,11)

Steven read that the actual distance between Memphis and Chicago is about 525 miles. On a

map, the distance between the two cities is about 10½ inches. Which is most likely the

scale used to make the map?

1 inch

repre

se...

1 inch

repre

se...

1 inch

repre

se...

1 inch

repre

se...

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A. 1 inch represents 50 milesB. 1 inch represents 25 milesC. 1 inch represents 30 milesD. 1 inch represents 40 miles

The following is a graph of a function of x. Which set best represents the domain of the function?

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A. {−7,−5,−2,0,3,5,8}B. {0, 2, 3, 5, 6, 8, 9}C. {−7,−5,−2,0,2,3,5,6,8,9}D. {0, 3, 5, 8}

Which ordered pair makes the equation false ?

(0,2)

(2,3)

(1,4)

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

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A. (−1,0)B. (0,2)C. (2,3)D. (1,4)

Which graph most likely contains all the ordered pairs in the table?

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. AB. BC. CD. D

A. B. C. D.

What value for n makes the following sentence true?5n=8+3n

n = 4

n = 2

n = 8/3

n = 8/5

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A. n = 4B. n = 2C. n = 8/3D. n = 8/5

Which of the following graphs contains all the ordered pairs in the table?

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. AB. BC. CD. D

A. B. C. D.

In which table do all of the ordered pairs make the equation true?

y = 2x + 4

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A. AB. BC. CD. D

A. B. C. D.

Mrs. Garcia used 5 cups of flour to make 3 loaves of bread. How many loaves of bread can she make with 30 cups of flour?

10 18 28 50

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21 22 23 24 25 26 27 28 29 30

A. 10B. 18C. 28D. 50

Which ordered pair makes the equation true?2x=18−y

(0,9)

(1,4)

(4,1)

(9,0)

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A. (0,9)B. (1,4)C. (4,1)D. (9,0)

What value for w makes the equation true?4w−8=16

-6 -2 2 6

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A. -6B. -2C. 2D. 6

Fran drove m miles in a car she rented. To find R, the total cost of renting the car, she used the following

formula.R=0.50m+35

What is the dependent variable in the formula?

R .5 m 35

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A. RB. 0.50C. mD. 35