Quiz about Algebra Practice EOC

Question 1

In baseball, a pitcher's earned run average is used to measure how effective the pitcher is. The earned run average, A, is calculated using the formula shown, where E is the number of earned runs and N is the number of innings the pitcher pitched. A = (9E) / N. Which equation correctly solves the formula for the variable E?

Accepted Answer

E = AN / 9

Answer

E = A / 9N

Answer

E = 9A / N

Answer

E = 9AN

Question 2

A function is shown. 7x + 4y = 14 Which graph represents the function?

Accepted Answer

A. [Graph with points (0, 3.5) and (2, 0)]

Answer

B. [Graph with points (0, 3.5) and (-2, 0)]

Answer

C. [Graph with points (0, 2) and (3.5, 0)]

Answer

D. [Graph with points (0, 2) and (-3.5, 0)]

Question 3

What is the sum of $$(2x^3 + 4x)$$ and $$(3x^3 + 5x)$$ ?

Accepted Answer

$$5x^3 + 9x$$

Answer

$$14x^6$$

Answer

$$14x^8$$

Answer

$$5x^4 + 9x^2$$

Question 4

A system of equations is shown. y = 2x + 2 and 2x + 5y = 19 What is the solution to the system?

Accepted Answer

(3/4, 3 1/2)

Answer

(1 1/8, 4 1/4)

Answer

(2/3, 5 1/3)

Answer

(3 1/4, 2 1/2)

Question 5

Which expression is equivalent to $$\sqrt[]{3}$$ ?

Accepted Answer

$$3^{(1/2)}$$

Answer

$$2^{(1/3)}$$

Answer

$$(1/2)^3$$

Answer

$$(1/3)^2$$

Question 6

A scatter plot of the U.S. national debt from 2001 to 2016, including a linear equation and its residuals modeling the data, is shown. Which statement correctly interprets the scatter plot?

Accepted Answer

The scatter plot shows a strong positive correlation.

Answer

The scatter plot shows a weak positive correlation.

Answer

The scatter plot shows a weak negative correlation.

Answer

The scatter plot shows a strong negative correlation.

Question 7

An equation is shown. $$3x^2 - 21 = 222$$ What is one exact solution to the equation?

Accepted Answer

x = 9

Answer

x = 7

Answer

x = 8

Answer

x = 6

Question 8

Five points from a function, f, are plotted in the first quadrant of the coordinate plane, as shown. Which equation could represent the function?

Accepted Answer

$$f(x) = 0.2(1 - 0.5)^x$$

Answer

$$f(x) = 0.2(1 - 0.1)^x$$

Answer

$$f(x) = 0.1(1 - 0.05)^x$$

Answer

$$f(x) = 0.1(1 - 0.25)^x$$

Question 9

Which expression is equivalent to (7k + 2)(5k - 9)?

Accepted Answer

$$35k^2 - 53k - 18$$

Answer

$$35k^2 - 18$$

Answer

-18k - 18

Answer

$$35k^2 - 73k - 18$$

Question 10

A function is shown. y + 1 = 2(x + 3) Which graph represents the function?

Accepted Answer

A. [Graph A]

Answer

B. [Graph B]

Answer

C. [Graph C]

Answer

D. [Graph D]

Question 11

Garrett buys a large bag of dog food. He feeds his dog 2 cups of dog food each day. Which statement describes the type of function that represents the amount of dog food in the bag after x days?

Accepted Answer

negative linear

Answer

positive linear

Answer

exponential

Answer

quadratic

Question 12

Which table could represent a quadratic function?

Accepted Answer

Question 13

Which function has the greatest slope?

Accepted Answer

y = (5/3)x + 1

Answer

y = -x + 8

Answer

y = (3/4)x - 5/4

Answer

y = (3/2)x + 3

Question 14

Which equation models exponential growth?

Accepted Answer

y = $$2(5.0)^x$$

Answer

y = $$2(1/5)^x$$

Answer

y = $$2[1 - (1/5)]^x$$

Answer

$$y = 2(1 - 0.5)^x$$

Question 15

Which function decays exponentially?

Accepted Answer

j(x) = $$(1/5)^x$$

Answer

f(x) = (1/5)x

Answer

g(x) = 5x

Answer

$$h(x) = 5^x$$

Question 16

Question 16.

Accepted Answer

by multiplying 1/5 by the square of 15

Answer

by multiplying the square of 1/5 by the square of 15

Answer

by multiplying 1/5 by the square of 15, then dividing by 15

Answer

by multiplying the square of 1/5 by the square of 15, then dividing by 15

Question 17

Maribel asked a random group of upper-class students at her school which grade they are in and how they traveled to school in the morning. The data are shown in the segmented bar chart. Which pair of terms describes the data?

Accepted Answer

bivariate and categorical

Answer

bivariate and numerical

Answer

univariate and numerical

Answer

univariate and categorical

Question 18

An equation is given. $$y = (x - 3)^2 + 1$$ Which type of function does the equation represent?

Accepted Answer

quadratic

Answer

cubic

Answer

exponential

Answer

square root

Question 19

An expression is given. $$42r^3s^2 - 35r^2s^3$$ Which expression is equivalent?

Accepted Answer

$$7r^2s^2(6r - 5s)$$

Answer

7rs(6s - 5r)

Answer

7rs(6rs - 5rs)

Answer

$$7r^2s^2(6s - 5r)$$

Question 20

The graph of a line is shown. Which equation represents the line?

Accepted Answer

y = (5/3)x + 13/3

Answer

y = (3/5)x - 13/5

Answer

y = (3/5)x + 13/3

Answer

y = (5/3)x - 13/5

Question 21

A rental company charges $2 per hour to rent a bicycle. A table showing the prices of renting one bicycle for different amounts of time is shown.

Which type of function models the price for renting one bicycle as a function of time?

Accepted Answer

increasing linear

Answer

decreasing linear

Answer

increasing exponential

Answer

decreasing exponential

Question 22

An artist earns a profit from selling y paintings. His profit, P, in dollars, is modeled with the given equation. His profit is the difference in the amount of money he earns from selling his paintings and the cost of making the paintings. Which expression represents the cost of making y paintings?

Accepted Answer

10.53y

Answer

23.25

Answer

200y + 23.25

Answer

189.47y + 23.25

Question 23

Cardiac output, D, is the amount of blood that the heart pumps per minute. The value of D can be found using the formula shown, where V is the amount of blood that the heart pumps with each heartbeat and R is the number of heartbeats per minute.

Complete the equation to represent V in terms of D and R.

V=

Accepted Answer

D / R

Answer

D * R

Answer

R / D

Answer

D + R

Question 24

Two divers are underwater. One diver is at a depth of 32 meters, while the other diver is at a different depth. The given equation can be used to find the possible depths, x, in meters, of the other diver. |x-32| = 11 Enter values to complete the sentence about the other diver's depth, in meters. The other diver is at a depth of either ______ meters or ______ meters.

Accepted Answer

21, 43

Answer

23, 41

Answer

20, 42

Answer

22, 44

Question 25

The equation of a linear function, q, and a table of values of a linear function, r, are shown.

Which statement correctly compares the slopes and y-intercepts of the two functions?

Accepted Answer

Function r has a lesser y-intercept and a slope that is 3 times the slope of function q.

Answer

Function r has a lesser y-intercept and a slope that is 2 times the slope of function q.

Answer

Function r has a greater y-intercept and a slope that is 2 times the slope of function q.

Answer

Function r has a greater y-intercept and a slope that is 3 times the slope of function q.

Question 26

An equation is shown. $$x^2 - 15x = -14$$ What are the two solutions to the equation?

Accepted Answer

x = 14 or x = 1

Answer

x = 7 or x = 2

Answer

x = 15 or x = -1

Answer

x = -14 or x = -1

Question 27

The graph of y=f(x) and a table of values for an exponential function y=g(x) are shown.

Which statement correctly compares the graphs of the functions?

Accepted Answer

As the values of x increase, g (x) will eventually be greater than f (x).

Answer

As the values of x increase, f (x) will eventually be greater than g (x).

Answer

The value of the y-intercept of y = f (x) is greater than the value of the y-intercept of y = g (x).

Answer

The value of the y-intercept of y = g (x) is greater than the value of the y-intercept of y = f (x).

Question 28

Select all the values that are equivalent to:

Accepted Answer

$$\frac{2\ \sqrt[]{6}}{2\ \sqrt[]{2}}$$

Answer

$$\frac{1}{\sqrt[]{3}}$$

Answer

$$\sqrt[]{16}$$

Answer

$$\frac{4\ \sqrt[]{6}}{\sqrt[]{8}}$$

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