Quiz about Algebra EOC Practice

Question 1

Solve

$$\frac{x}{3}-6\le1$$

Accepted Answer

x $$\le$$ 21

Answer

x $$\le$$ 9

Answer

x $$\ge$$ 9

Answer

x $$\ge$$ 21

Question 2

You are 5 feet 3 inches tall and cast a shadow 8 feet long. At the same time, a nearby tree casts a shadow 96 feet long. Find the height of the tree.

Accepted Answer

63 feet

Answer

62 feet

Answer

63 feet 6 inches

Answer

63 feet 9 inches

Question 3

Use the box-and-whisker plot. Find the range and the interquartile range.

Accepted Answer

The range is 6, and the interquartile range is 2.

Answer

The range is 2, and the interquartile range is 6.

Answer

The range is 6, and the interquartile range is 1.

Answer

The range is 5, and the interquartile range is 2.

Question 4

Graph g(x) = $$x^2+2$$

Accepted Answer

M

Answer

P

Answer

R

Answer

S

Question 5

Select all the solutions of $$\left|10x-5\right|+6=61.$$

Accepted Answer

x = -5

Accepted Answer

x = 6

Answer

x = -13

Answer

x = -6

Answer

x = 5

Question 6

Graph the solution of 8x - 10 $$\le$$ 6x - 2.

Accepted Answer

Question 7

Graph the solution of 3|6x + 6| - 9 > 9 .

Accepted Answer

M

Answer

P

Answer

R

Answer

S

Question 8

Determine whether y = $$x^2-10x+18$$ has a maximum or minimum value. Then find the value.

Accepted Answer

minimum value; (5, -7)

Answer

minimum value; (-5, -7)

Answer

maximum value; (5, 7)

Answer

maximum value; (5, -7)

Question 9

Graph g(x) = $$-\left(4x-3\right)^2+1$$ .

Accepted Answer

Question 10

Simplify the expression $$\left(x-6\right)\left(x^2-3x+2\right)$$ .

Accepted Answer

Question 11

Use intercepts to graph the equation 5x - 4y = -20.

Accepted Answer

Question 12

Determine the number of solutions of the system 2x - 3y = 5 and 2x - 3y = 4.

Accepted Answer

no solution

Answer

one solution

Answer

two solutions

Answer

infinitely many solutions

Question 13

Write an equation of the line that passes through (-3, -4) and is parallel to the line y = 4/3x - 9.

Accepted Answer

y = 4/3x

Answer

y = 4/3x + 1

Answer

y = -3/4x - 9

Answer

y = -3/4x

Question 14

Using the linear regression results, select the correlation coefficient and the interpretation of the correlation coefficient.

Accepted Answer

0.9965

Accepted Answer

strong positive correlation

Answer

strong negative correlation

Answer

23.8807

Answer

13.6563

Question 15

Simplify the expression $$\frac{x^2\cdot x^7}{x^4}$$ . Write your answer using only positive exponents.

Accepted Answer

$$x^5$$

Answer

$$x^{10}$$

Answer

$$x^1$$

Answer

$$\frac{1}{x^5}$$

Question 16

Solve $$-4x+2=-\frac{1}{2}x-5$$ by graphing.

Accepted Answer

Question 17

Simplify $$\left(2^5\right)^4$$ . Write your answer using only positive exponents.

Accepted Answer

$$2^{20}$$

Answer

$$2^1$$

Answer

$$2^9$$

Answer

$$2^{22}$$

Question 18

You buy 6 health bars and 2 health drinks for $16. Your friend buys 5 health bars and 3 health drinks for $16. What are the costs of each health bar and each health drink?

Accepted Answer

$2 for a health bar

$2 for a health drink

Answer

$1 for a health bar

$5 for a health drink

Answer

$1.50 for a health bar

$3.50 for a health drink

Answer

$2.50 for a health bar

$1 for a health drink

Question 19

A website has 300,000 members. The number y of members increases by 5% each year. Write an exponential function that represents the membership after t years. How many members will there be after 4 years? Select both answers.

Accepted Answer

364,652 members

Accepted Answer

$$y=300,000\left(1.05\right)^t$$

Answer

347,288 members

Answer

1,518,750 members

Answer

y = 300,000(1.05)t

Question 20

Use a frequency table to display the data in the table. Describe the shape of the distribution.

Accepted Answer

The distribution is symmetric.

Answer

The distribution is skewed left.

Answer

The distribution is skewed right.

Answer

The distribution is skewed uniform.

Question 21

A fence is installed around a rectangular garden that is 15 feet long. The garden has an area of 180 square feet. How much fence material is needed to surround the garden?

Accepted Answer

54 feet

Answer

56 feet

Answer

58 feet

Answer

62 feet

Question 22

Graph $$y\ge\frac{1}{3}x-4$$ in the coordinate plane.

Accepted Answer

Question 23

Students recorded the number of books read during the school year. The number of books that each student read is shown in the table. Select the true statements.

Accepted Answer

mean = 7

Accepted Answer

mode = 5

Accepted Answer

minimum = 4

Accepted Answer

median = 6

Answer

range = 6

Question 24

Determine whether the table represents an exponential growth function, an exponential decay function, or neither.

Accepted Answer

exponential growth

Answer

exponential decay

Answer

neither; there is no common ratio

Answer

neither; there is no common difference

Question 25

Consider the functions f(x) = $$8\left(4\right)^x$$ and g(x) = $$8\left(4\right)^{x+9}-7$$ Select the statements that describe the transformation from the graph of ( f ) to the graph of ( g ).

Accepted Answer

translation 7 units down

Accepted Answer

translation 9 units left

Answer

vertical stretch by a factor of 8

Answer

translation 9 units right

Answer

reflection in the x-axis

Question 26

Graph the inequality y < 5 in a coordinate plane.

Accepted Answer

Question 27

Write the first six terms of the sequence $$a_1=1,\ a_n=a_{n-1}\ +5$$

Accepted Answer

1, 6, 11, 16, 21, 26

Answer

6, 11, 16, 21, 26, 31

Answer

5, 10, 15, 20, 25, 30

Answer

0, 5, 10, 15, 20, 25

Question 28

Select the data that are quantitative.

Accepted Answer

wages that students earn per hour

Accepted Answer

number of free throws at a basketball game

Accepted Answer

heights of dogs at a dog show

Answer

favorite classes at school

Answer

flavors of ice cream at an ice cream shop

Question 29

A rectangular outdoor exhibit at a museum have a perimeter of at most 240 ft and an area of at least 2000 square ft. If the width of the region is 40 ft, describe the possible length of the region.

Accepted Answer

Length is at least 50 ft and at most 80 ft

Answer

Length are at most 100 ft.

Answer

Lengths are at least 50 ft.

Answer

Lengths are at least 40 ft and at most 100ft.

Question 30

Solve the equation $$4x^2=81$$

Accepted Answer

$$-\frac{9}{2}\ and\ \ \frac{9}{2}$$

Answer

$$\frac{9}{2}$$

Answer

$$-\frac{9}{4}\ and\ \ \frac{9}{4}$$

Answer

$$-\frac{9}{4}$$

Question 31

Solve

$$13x+11=3\left(2x-1\right)$$

Accepted Answer

$$-2$$

Answer

$$\frac{1}{2}$$

Answer

$$\frac{8}{7}$$

Answer

$$4$$

Question 32

The scatter plot shows the average daily temperature (Fahrenheit) and the number of visitors at a park. What tends to happen to the number of visitors as the temperature increases?

Accepted Answer

As the temperature increases, the number of visitors increases.

Answer

As the temperature increases, the number of visitors decreases.

Answer

As the temperature decreases, the number of visitors increases.

Answer

As the temperature increases, the number of visitors remains constant.

Algebra EOC Practice

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