Free Printable Coordinate Algebra EOC Review

1.

A rectangle has a length of 12 meters and a width of 400 centimeters. What is the perimeter, in cm, of the rectangle?

a)

824

b)

1600

c)

2000

d)

3200

2.

Jill swam 200 meters in 2 minutes 42 seconds. If each lap is 50 meters long, which time is her estimated time, in seconds, per lap?

a)

32

b)

40

c)

48

d)

60

3.

The distance a car travels can be found using the formula d = rt, where d is the distance in miles, r is the rate of speed in miles per hour, and t is time in hours. Bill drives his car at 70 miles per hour for $\frac{1}{2}$ hour. Which term gives the distance in miles Bill travels?

a)

1

b)

2

c)

(2)(70)

d)

(70)( $\frac{1}{2}$ )

4.

A certain population of bacteria has an average growth rate of 0.02 bacteria per hour. The formula for the growth of the bacteria’s population is A = P0 (2.71828)0.02t , where P0 is the original population, and t is the time in hours. Which factor represents the rate at which the bacteria grows?

a)

$P_0$

b)

0.02t

c)

2.71828

d)

1,478

5.

The sum of the angle measures in a triangle is 180°. Two angles of a triangle measure 20° and 50°. What is the measure of the third angle?

a)

30°

b)

70°

c)

110°

d)

160°

6.

Which equation shows P = 2L + 2w when solved for w?

a)

w = $\frac{2L}{p}$

b)

$w=\frac{2L-P}{2}$

c)

w = 2L- $\frac{p}{2}$

d)

w = $\frac{P-2L}{2}$

7.

Bruce owns a business that produces widgets. He must bring in more in revenue than he pays out in costs in order to make a profit.

• It costs $10 in labor and materials to make each of his widgets.

• His rent each month for his factory is $4,000.

He sells each widget for $25. What is the smallest number of widgets Bruce needs to sell each month to make a profit?

a)

160

b)

260

c)

267

d)

400

8.

Which equation shows ax – w = 3 solved for w?

a)

w = ax – 3

b)

w = ax + 3

c)

w = 3 – ax

d)

w = –3 – ax

9.

Which equation is equivalent to $\frac{7x}{4}-\frac{3x}{8}=11?$

a)

17x = 88

b)

11x = 88

c)

4x = 44

d)

2x = 44

10.

Which equation shows 4n = 2(t – 3) solved for t?

a)

$t=\frac{4n-2}{3}$

b)

$t=\frac{4n+2}{3}$

c)

t = 2n - 3

d)

t = 2n + 3

11.

. Which equation shows 6(x + 4) = 2( y + 5) solved for y?

a)

y = x + 3

b)

y = x + 5

c)

y = 3x + 7

d)

y = 3x + 17

12.

This equation can be used to find h, the number of hours it will take Flo and Bryan to mow their lawn.

$\frac{h}{3}\ +\ \frac{h}{6}\ =\ 1$

How many hours will it take them to mow their lawn?

a)

6

b)

3

c)

2

d)

1

13.

A ferry boat carries passengers back and forth between two communities on the Peachville River.

• It takes 30 minutes longer for the ferry to make the trip upstream than downstream.

• The ferry’s average speed in still water is 15 miles per hour.

• The river’s current is usually 5 miles per hour. This equation can be used to determine how many miles apart the two communities are.

$\frac{m}{15-5}=\frac{m}{15+5}+0.5$

What is m, the distance between the two communities?

a)

0.5 mile

b)

5 miles

c)

10 miles

d)

15 miles

14.

For what values of x is the inequality $\frac{2}{3}\ +\ \frac{x}{3}>1\ true?$

a)

x < 1

b)

x > 1

c)

x < 5

d)

x > 5

15.

Which ordered pair is a solution of 3y + 2 = 2x – 5?

a)

(–5, 2)

b)

(0, –5)

c)

(5, 1)

d)

(7, 5)

16.

A manager is comparing the cost of buying baseball caps from two different companies.

• Company X charges a $50 fee plus $7 per baseball cap.

• Company Y charges a $30 fee plus $9 per baseball cap.

For what number of baseball caps will the cost be the same at both companies?

a)

10

b)

20

c)

40

d)

100

17.

A shop sells one-pound bags of peanuts for $2 and three-pound bags of peanuts for $5. If 9 bags are purchased for a total cost of $36, how many three-pound bags were purchased?

a)

3

b)

6

c)

9

d)

18

18.

Which graph represents a system of linear equations that has multiple common coordinate pairs?

a)

b)

c)

d)

19.

Which graph represents x > 3?

a)

b)

c)

d)

20.

Which graph represents y > 2x – 1?

a)

b)

c)

d)

21.

Two lines are graphed on this coordinate plane.

a)

(0, -2)

b)

(0, 4)

c)

(4, 0)

d)

(3, 1)

22.

Based on the tables, at what point do the lines y = –x + 5 and y = 2x – 1 intersect?

a)

(1, 1)

b)

(3, 5)

c)

(2, 3)

d)

(3, 2)

23.

Look at the sequence in this table.

Which function represents the sequence?

a)

$a_n=a_{x-1}+1$

b)

$a_n=a_{x-1}+2$

c)

$a_n=2a_{x-1}-1$

d)

$a_n=2a_{x-1}-3$

24.

Which function is modeled in this table?

a)

f(x) = x + 7

b)

f(x) = x + 9

c)

f(x) = 2x + 5

d)

f(x) = 3x + 5

25.

Which explicit formula describes the pattern in this table?

a)

d = 3.14 × C

b)

3.14 × C = d

c)

31.4 × 10 = C

d)

C = 3.14 × d

26.

If f(12) = 4(12) – 20, which function gives f(x)?

a)

f(x) = 4x

b)

f(x) = 12x

c)

f(x) = 4x - 20

d)

f(x) = 12x - 20

27.

A wild horse runs at a rate of 8 miles an hour for 6 hours. Let y be the distance, in miles, the horse travels for a given amount of time, x, in hours. This situation can be modeled by a function.

Which of these describes the domain of the function?

a)

0 ≤ x ≤ 6

b)

0 ≤ y ≤ 6

c)

0 ≤ x ≤ 48

d)

0 ≤ y ≤ 48

28.

A population of squirrels doubles every year. Initially, there were 5 squirrels. A biologist studying the squirrels created a function to model their population growth, P(t) = 5(2t ), where t is time. The graph of the function is shown.

a)

any real number

b)

any whole number greater than 0

c)

any whole number greater than 5

d)

any whole number greater than or equal to 5

29.

. The function graphed on this coordinate grid shows f(x), the height of a dropped ball, in feet, after its xth bounce.

a)

bounce 1

b)

bounce 2

c)

bounce 3

d)

bounce 4

30.

To rent a canoe, the cost is $3 for the oars and life preserver, plus $5 an hour for the canoe. Which graph models the cost of renting a canoe?

a)

b)

c)

d)

31.

Juan and Patti decided to see who could read the most books in a month. They began to keep track after Patti had already read 5 books that month. This graph shows the number of books Patti read for the next 10 days.

If Juan has read no books before the fourth day of the month and he reads at the same rate as Patti, how many books will he have read by day 12?

a)

5

b)

10

c)

15

d)

20

32.

Which function represents this sequence?

a)

$f\left(n\right)\ =\ 3^{n-1}$

b)

$f\left(n\right)\ =\ 6^{n-1}$

c)

$f\left(n\right)\ =\ 3\left(6^{n-1}\right)$

d)

$f\left(n\right)\ =\ 6\left(3^{n-1}\right)$

33.

The points (0, 1), (1, 5), (2, 25), and (3, 125) are on the graph of a function.

Which equation represents that function?

a)

$f\left(x\right)\ =\ 2^x$

b)

$f\left(x\right)\ =\ 3^x$

c)

$f\left(x\right)\ =\ 4^x$

d)

$f\left(x\right)\ =\ 5^x$

34.

The function f(x) is graphed to the left.

Which graph shows f(x) + 2?

a)

b)

c)

d)

35.

Which graph shows the function f(x) = 2x being translated 4 units down?

a)

graph of linear function

g(x) = 2x + 8

b)

graph of linear function

g(x) = 2x – 8

c)

graph of linear function

g(x) = 2x + 4

d)

graph of linear function

g(x) = 2x – 4

36.

.Which scatter plot BEST represents a model of linear growth?

a)

b)

c)

d)

37.

Which scatter plot BEST represents a model of exponential growth?

a)

b)

c)

d)

38.

Which table represents an exponential function?

a)

b)

c)

d)

39.

If the parent function is f(x) = mx + b, what is the value of the parameter m for the line passing through the points (–2, 7) and (4, 3)?

a)

-9

b)

$\frac{-3}{2}$

c)

-2

d)

$-\frac{2}{3}$

40.

Consider this function for cell duplication. The cells duplicate every minute

$f(x)=75(2)^x$

a)

The 75 is the initial number of cells, and the 2 indicates that the number of cells doubles every minute.

b)

The 75 is the initial number of cells, and the 2 indicates that the number of cells increases by 2 every minute.

c)

The 75 is the number of cells at 1 minute, and the 2 indicates that the number of cells doubles every minute.

d)

The 75 is the number of cells at 1 minute, and the 2 indicates that the number of cells increases by 2 every minute.

41.

This table shows the average low temperature, in °F, recorded in Macon, GA, and Charlotte, NC, over a six-day period.

Which conclusion can be drawn from the data?

a)

The interquartile range of the temperatures is the same for both cities.

b)

The lower quartile for the temperatures in Macon is less than the lower quartile for the temperatures in Charlotte

c)

The mean and median temperatures in Macon were higher than the mean and median temperatures in Charlotte.

d)

. The upper quartile for the temperatures in Charlotte was less than the upper quartile for the temperatures in Macon.

42.

A school was having a coat drive for a local shelter. The amount of coats each homeroom collected for the freshman and sophomore classes are shown.

• Freshman Homerooms: 4, 8, 6, 8, 7, 3

• Sophomore Homerooms: 6, 9, 3, 6, 11, 7

Which statement is true about the average number of coats collected by the freshman and sophomore homerooms?

a)

The freshmen averaged 1 more coat collected than the sophomores.

b)

The freshmen averaged the same number of coats collected as the sophomores.

c)

The sophomores averaged 1 more coat collected than the freshmen.

d)

. The sophomores averaged 3 more coats collected than the freshmen.

43.

A reading teacher recorded the number of pages read in an hour by each of her students. The numbers are shown below.

44, 49, 39, 43, 50, 44, 45, 49, 51

For this data, which summary statistic is NOT correct?

a)

The minimum is 39

b)

The lower quartile is 44

c)

The median is 45

d)

The maximum is 51

44.

A science teacher recorded the pulse of each of the students in her classes after the students had climbed a set of stairs. She displayed the results, by class, using the box plots shown.

Which class generally had the highest pulse after climbing the stairs?

a)

Class 1

b)

Class 2

c)

Class 3

d)

Class 4

45.

Peter went bowling, Monday to Friday, two weeks in a row. He only bowled one game each time he went. He kept track of his scores below.

Week 1: 70, 70, 70, 73, 75

Week 2: 72, 64, 73, 73, 75

What is the BEST explanation for why Peter’s Week 2 mean score was lower than his Week 1 mean score?

a)

Peter received the same score three times in Week 1

b)

Peter had one very low score in Week 2.

c)

Peter did not beat his high score from Week 1 in Week 2.

d)

Peter had one very high score in Week 1.

46.

This histogram shows the frequency distribution of duration times for 107 consecutive eruptions of the Old Faithful geyser. The duration of an eruption is the length of time, in minutes, from the beginning of the spewing of water until it stops. What is the BEST description for the distribution?

a)

bimodal

b)

uniform

c)

multiple outlier

d)

skewed to the right

47.

Which graph MOST clearly displays a set of data for which a linear function is the model of best fit?

a)

b)

c)

d)

48.

This graph plots the number of wins last year and this year for a sample of professional football teams.

Which equation BEST represents a line that matches the trend of the data?

a)

y = x + 2

b)

y = x + 7

c)

y = 0.6x – 0.2

d)

y = 0.6x + 2.4

49.

This graph plots the number of wins last year and this year for a sample of professional football teams.

Based on the line of best fit, which is the BEST prediction for wins this year for a team that won 4 games last year?

a)

2

b)

4

c)

5

d)

7

50.

Which BEST describes the correlation of the two variables shown in the scatter plot?

a)

weak positive

b)

strong positive

c)

weak negative

d)

strong negative

51.

Which statement describes an example of causation?

a)

When the weather becomes warmer, more meat is purchased at the supermarket.

b)

More people go to the mall when students go back to school.

c)

The greater the number of new television shows, the lesser the number of moviegoers.

d)

After operating costs are paid at a toy shop, as more toys are sold, more money is made.

52.

To rent a carpet cleaner at the hardware store, there is a set fee and an hourly rate. The rental cost, c, can be determined using this equation when the carpet cleaner is rented for h hours.

c = 25 + 3h

Which of these is the hourly rate?

a)

3

b)

3h

c)

25

d)

25h

53.

A regular pentagon is centered about the origin and has a vertex at (0, 4).

Which transformation maps the pentagon to itself?

a)

a reflection across line m

b)

a reflection across the x-axis

c)

a clockwise rotation of 100° about the origin

d)

a clockwise rotation of 144° about the origin

54.

A parallelogram has vertices at (0, 0), (0, 6), (4, 4), and (4, –2)

Which transformation maps the parallelogram to itself?

a)

a reflection across the line x = 2

b)

a reflection across the line y = 2

c)

a rotation of 180° about the point (2, 2)

d)

a rotation of 180° about the point (0, 0)

55.

Which sequence of transformations maps △ABC to △RST?

a)

Reflect △ABC across the line x = –1. Then translate the result 1 unit down.

b)

Reflect △ABC across the line x = –1. Then translate the result 5 units down.

c)

Translate △ABC 6 units to the right. Then rotate the result 90° clockwise about the point (1, 1).

d)

. Translate △ABC 6 units to the right. Then rotate the result 90° counterclockwise about the point (1, 1).

56.

An equation of line a is $y=\frac{-1}{2}x-2$

a)

$y\ =\ -\frac{1}{2}x\ +2$

b)

$y\ =\ -\frac{1}{2}x\ +8$

c)

y = 2x - 2

d)

y = 2x + 8

57.

Triangle KLM has vertices as shown.

Which relationship between the slopes of triangle KLM proves that it is a right triangle?

a)

LK ⟘ KM because the product of the slopes of these segments is –1.

b)

KL ⟘ LM because the product of the slopes of these segments is –1

c)

KL + LM because the sum of the slopes of these segments is less than 1

d)

LK + KM because the sum of the slopes of these segments is greater than 1.

58.

Given points P(11, 2) and Q(–13, –5), what are the coordinates of the point on directed line segment PQ} that partitions PQ} in the ratio 3:2?

a)

$\left(-\frac{17}{5},\ -\frac{11}{5}\right)$

b)

$\left(\frac{7}{24},\ -\frac{29}{24}\right)$

c)

$\left(-1,\ -\frac{3}{2}\right)$

d)

$\left(-5,\ -\frac{8}{3}\right)$

59.

Triangle ABC has vertices as shown.

What is the area of the triangle?

a)

$\sqrt[]{72}$ square units

b)

12 square units

c)

$\sqrt[]{288}$ square units

d)

24 square units

60.

Sandra makes necklaces and sells them at a school craft fair. She uses the equation P = 7.5n – (2.25n + 15) to determine her total profit at the fair when n necklaces are sold. Based on this equation, how much does she charge for each necklace?

a)

$2.25

b)

$7.50

c)

$15.00

d)

$17.25

61.

The perimeter of a rectangle is P = 2w + 2l, where w is the width of the rectangle and l is the length of the rectangle. Rearrange this formula to find the width of the rectangle.

a)

w = P-2L

b)

$w\ =\ \frac{p}{4-L}$

c)

w = 2P - L

d)

w = $\frac{p}{2}-L$

62.

Which function can be used to model the data in this table?

a)

f(x) = 3x

b)

$f\left(x\right)\ =\ \frac{x}{2}-1$

c)

$f\left(x\right)\ =\ x\ -1$

d)

f(x) = 2x -1

63.

The function f(x) = 3x – 9 is shifted 2 units up. Which equation correctly describes the new function?

a)

g(x) = 6x - 9

b)

g(x) = 3(x+2)-9

c)

g(x) = 3x - 7

d)

g(x) = 6x - 18

64.

Tamina drives to a friend’s house at an average rate of 45 miles per hour. She wants to determine that rate in feet per minute.

Which ratio is needed to convert 45 miles per hour into feet per minute?

a)

$\frac{1\ mi}{5,280\ ft}$

b)

$\frac{5,280\ ft}{1\ mi}$

c)

$\frac{60\ \sec}{1\ \min}$

d)

$\frac{60\ \sec}{1\ hr}$

65.

Tamina drives to a friend’s house at an average rate of 45 miles per hour. She wants to determine that rate in feet per minute

What is 45 miles per hour in feet per minute?

a)

2,640

b)

2,700

c)

3,960

d)

5,280

66.

The formula shown represents final velocity, v, in terms of initial velocity, v0 , acceleration, a, and time, t.

$v=v_0+at$

Select TWO equations that are equivalent to the final velocity formula.

a)

$v=v_0+at$

b)

$v_0\ =\ v-at$

c)

$a\ =\ \frac{v-v_0}{t}$

d)

$a\ =\ \frac{v_0-v}{t}$

e)

$t\ =a\left(v_0+v\right)$

67.

A scientist studied the relationship between the number of trees, x, per acre and the number of birds, y, per acre in a neighborhood. She modeled the relationship with a scatter plot and used the equation y = 4 + 6x for the regression line. What is the meaning of the slope and y-intercept of this regression line?

a)

The slope is 6. This means that the average number of birds per acre in an area with no trees is 6. The y-intercept is 4. This means that for every 1 additional tree, she can expect an average of 4 additional birds per acre.

b)

The slope is 4. This means that for every 1 additional tree, she can expect an average of 4 additional birds per acre. The y-intercept is 6. This means that the average number of birds per acre in an area with no trees is 6.

c)

The slope is 6. This means that for every 1 additional tree, she can expect an average of 6 additional birds per acre. The y-intercept is 4. This means that the average number of birds per acre in an area with no trees is 4.

d)

The slope is 4. This means that the average number of birds per acre in an area with no trees is 4. The y-intercept is 6. This means that for every 1 additional tree, she can expect an average of 6 additional birds per acre.

68.

A random group of high school students was surveyed. Each student was asked whether it should be mandatory for all high school students to participate in a sport. The results are partially summarized in the two-way table.

What percentage is closest to the number of students in the freshman group who agree that it should be mandatory for all high school students to participate in a sport?

a)

14.1%

b)

22.6%

c)

53%

d)

73.6%

69.

What is the sequence of transformations that carry triangle ABC to triangle QRS?

a)

Triangle ABC is reflected across the line x = 3. Then it is translated 2 units down

b)

Triangle ABC is reflected across the line x = 3. Then it is translated 6 units down.

c)

Triangle ABC is translated 2 units to the left. Then it is rotated 90 degrees counterclockwise about the point (1, 1).

d)

Triangle ABC is translated 2 units to the right. Then it is rotated 90 degrees counterclockwise about the point (1, 1).

70.

What is the image of point R after a counterclockwise rotation of 270 degrees about the origin?

a)

(6, -3)

b)

(-3, 6)

c)

(-6, 3)

d)

(3, -6)

71.

Which transformation on quadrilateral ABCD produces an image that does not preserve distance between points in quadrilateral ABCD?

a)

reflection across y = x

b)

translation 3 units down and 4 units to the right

c)

dilation by a scale factor of 2

d)

. rotation of 270 degrees

72.

Look at the square WXYZ on this coordinate plane.

Which measure is closest to the perimeter of square WXYZ?

a)

20 units

b)

25.6 units

c)

32 units

d)

40.9 units

73.

What are the coordinates of a point that lies along the directed line segment from Q(2, 5) to R(7, 12) and partitions the segment in the ratio of 3 to 2?

a)

(3, 4.2)

b)

(4.5, 8.5)

c)

(5, 9.2)

d)

(5, 7)

74.

What is the equation of the line that is perpendicular to and passes through the point (6, 4)? $y=\frac{1}{2}x-6$

a)

$y=-\frac{1}{2}x+1$

b)

$y=-\frac{1}{2}x+7$

c)

$y=-2x-8$

d)

$y=-2x+16$

Coordinate Algebra EOC Review

Total questions: 74

Worksheet time: 6hrs 10mins

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