Quiz about Coordinate Algebra EOC Review

Question 1

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

Accepted Answer

3200

Answer

824

Answer

1600

Answer

2000

Question 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?

Accepted Answer

40

Answer

32

Answer

48

Answer

60

Question 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?

Accepted Answer

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

Answer

1

Answer

2

Answer

(2)(70)

Question 4

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 5

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

Accepted Answer

11x = 88

Answer

17x = 88

Answer

4x = 44

Answer

2x = 44

Question 6

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

Accepted Answer

y = 3x + 7

Answer

y = x + 3

Answer

y = x + 5

Answer

y = 3x + 17

Question 7

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?

Accepted Answer

2

Answer

6

Answer

3

Answer

1

Question 8

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

Accepted Answer

x > 1

Answer

x < 1

Answer

x < 5

Answer

x > 5

Question 9

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?

Accepted Answer

6

Answer

3

Answer

9

Answer

18

Question 10

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

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 11

Which graph represents x > 3?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 12

Two lines are graphed on this coordinate plane.

Accepted Answer

(3, 1)

Answer

(0, -2)

Answer

(0, 4)

Answer

(4, 0)

Question 13

Look at the sequence in this table.

Which function represents the sequence?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 14

Which function is modeled in this table?

Accepted Answer

f(x) = 3x + 5

Answer

f(x) = x + 7

Answer

f(x) = x + 9

Answer

f(x) = 2x + 5

Question 15

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.

Accepted Answer

any whole number greater than or equal to 5

Answer

any real number

Answer

any whole number greater than 0

Answer

any whole number greater than 5

Question 16

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

Accepted Answer

bounce 1

Answer

bounce 2

Answer

bounce 3

Answer

bounce 4

Question 17

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?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 18

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?

Accepted Answer

10

Answer

5

Answer

15

Answer

20

Question 19

Which function represents this sequence?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 20

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

Which equation represents that function?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 21

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

Which graph shows f(x) + 2?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 22

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

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 23

Which scatter plot BEST represents a model of exponential growth?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 24

Which table represents an exponential function?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 25

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

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 26

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?

Accepted Answer

The median is 45

Answer

The minimum is 39

Answer

The lower quartile is 44

Answer

The maximum is 51

Question 27

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?

Accepted Answer

Class 3

Answer

Class 1

Answer

Class 2

Answer

Class 4

Question 28

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?

Accepted Answer

bimodal

Answer

uniform

Answer

multiple outlier

Answer

skewed to the right

Question 29

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

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 30

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?

Accepted Answer

5

Answer

2

Answer

4

Answer

7

Question 31

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

Accepted Answer

strong negative

Answer

weak positive

Answer

strong positive

Answer

weak negative

Question 32

Which statement describes an example of causation?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 33

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?

Accepted Answer

3

Answer

3h

Answer

25

Answer

25h

Question 34

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

Accepted Answer

y = 2x + 8

Answer

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

Answer

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

Answer

y = 2x - 2

Question 35

Triangle ABC has vertices as shown.

What is the area of the triangle?

Accepted Answer

12 square units

Answer

$$\sqrt[]{72}$$ square units

Answer

$$\sqrt[]{288}$$ square units

Answer

24 square units

Question 36

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.

Accepted Answer

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

Answer

w = P-2L

Answer

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

Answer

w = 2P - L

Question 37

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

Accepted Answer

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

Answer

f(x) = 3x

Answer

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

Answer

f(x) = 2x -1

Question 38

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.

Accepted Answer

$$v_0\ =\ v-at$$

Accepted Answer

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

Answer

$$v=v_0+at$$

Answer

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

Answer

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

Question 39

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?

Accepted Answer

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.

Answer

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.

Answer

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.

Answer

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.

Question 40

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?

Accepted Answer

73.6%

Answer

14.1%

Answer

22.6%

Answer

53%

Question 41

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 42

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

Accepted Answer

(6, -3)

Answer

(-3, 6)

Answer

(-6, 3)

Answer

(3, -6)

Question 43

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

Accepted Answer

dilation by a scale factor of 2

Answer

reflection across y = x

Answer

translation 3 units down and 4 units to the right

Answer

. rotation of 270 degrees

Question 44

Look at the square WXYZ on this coordinate plane.

Which measure is closest to the perimeter of square WXYZ?

Accepted Answer

25.6 units

Answer

20 units

Answer

32 units

Answer

40.9 units

Question 45

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?

Accepted Answer

(5, 9.2)

Answer

(3, 4.2)

Answer

(4.5, 8.5)

Answer

(5, 7)

Question 46

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

Accepted Answer

$$y=-2x+16$$

Answer

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

Answer

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

Answer

$$y=-2x-8$$

Coordinate Algebra EOC Review

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