Quiz about Intermediate Algebra -- Practice EOC

Question 1

A system of equations is shown below. $$3x-2y=23$$

$$x-3y=3$$ Which system of equations has the same solution as the system of equations shown?

Accepted Answer

C.

$$5x-3y=39$$ $$2x-y=16$$

Answer

A.

$$2x-5y=7$$ $$3x+y=13$$

Answer

B.

$$2x+5y=7$$ $$3x-y=13$$

Answer

D.

$$5x+3y=39$$ $$2x+y=16$$

Question 2

A certain type of lily plant is growing in a pond in such a way that the number of plants is growing exponentially. The number of plants, N, in the pond at time, t, is modeled by the function $$N(t)=ab^t$$ , where a and b are constants and t is measured in months. The table represents the function.

Which equation can be used to find the number of plants in the pond at time t?

Accepted Answer

$$N(t)=50\cdot\left(3\right)^t$$

Answer

$$N(t)=150\cdot\left(\frac{1}{3}\right)^t$$

Answer

$$N(t)=50\cdot\left(\frac{1}{3}\right)^t$$

Answer

$$N(t)=150(3)^t$$

Question 3

The graph of $$f(x)=2^x$$ is graphed below. The function g(x) is a transformation of f(x). Which equation best represents the transformed graph g(x)?

Accepted Answer

$$g\left(x\right)=2^{x-4}-2$$

Answer

$$g(x)=2^{x+3}-2$$

Answer

$$g(x)=2^{x-2}-3$$

Answer

$$g(x)=2^{x+2}-3$$

Question 4

The diagram below shows the ages of 4 students in a class. Kellen says that this example is NOT a function because more than one student is 13 years old. Do you agree with Kellen? Why or why not?

Accepted Answer

I do not agree with Kellen. This is a function because y-values can repeat as long as no x-value repeats.

Answer

I agree with Kellen that it is NOT a function because no y-values can repeat in a function.

Answer

I agree with Kellen that it is NOT a function because true functions only originate from the Funxioun region of France.

Answer

I do not agree with Kellen. This is a function because x-values can repeat as long as no y-value repeats.

Question 5

Sophia is selling bracelets and necklaces at her stall. She sells each bracelet for $6.25 and each necklace for $12.50. In one day she sold a total of 15 bracelets and necklaces and made $125. How many necklaces did Sophia sell?

Accepted Answer

5

Answer

6

Answer

9

Answer

10

Question 6

Solve the following equation for x.

$$2+4x-3x=x+2$$

Accepted Answer

All Real Numbers

Answer

No Solution

Answer

x = 0

Answer

x = 2

Question 7

Simplify completely.

$$2\sqrt{160}$$

Accepted Answer

$$8\sqrt{10}$$

Answer

$$2\sqrt{8}$$

Answer

$$4\sqrt{40}$$

Answer

$$2\sqrt{28}$$

Question 8

Which integer CANNOT be the solution to the inequality $$6x-4\le7x-3$$ ?

Accepted Answer

-2

Answer

1

Answer

0

Answer

-1

Question 9

Which of the following graphs would represent the greatest vertical stretch?

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 10

Bryce wants to solve the system of equations below using substitution. What would be her best first step?

Equation 1: x - 4y = 10

Equation 2: 2x - 5y = 16

Accepted Answer

Add 4y to both sides of Equation 1.

Answer

Subtract 4y to both sides of Equation 1.

Answer

Multiply Equation 1 by 2 and then subtract the equations.

Answer

Add 5y to both sides of equation 2.

Question 11

Timmy has a rectangular backyard with a width of x. The length of the backyard is 2 yards more than 2 times the width. What is the area of the backyard?

Accepted Answer

$$2x^2+2x$$

Answer

$$2x^2$$

Answer

$$2x$$

Answer

$$2x^2+4$$

Question 12

The functions, f(x), g(x), and h(x) are represented below. Which function has the smallest minimum value?

Accepted Answer

g(x)

Answer

f(x)

Answer

h(x)

Answer

All minimum values are equal

Question 13

Identify ALL the true statements about the quadratic function $$f(x)=-3x^2+6x-4$$ .

Accepted Answer

The increasing interval is $$(-\infty,\ 1)$$

Accepted Answer

The vertex is at the point (1, -1)

Accepted Answer

An equivalent form is $$f(x)=-3(x-1)^2-1$$

Answer

An equivalent form is $$f(x)=-3(x+1)^2-1$$

Answer

The vertex is at the point (-1, 1)

Question 14

Simplify the following expression. The answer should contain only positive exponents.

Accepted Answer

$$\frac{1}{m^4}$$

Answer

$$\frac{n^8}{m^4}$$

Answer

$$\frac{2n^8}{m^4}$$

Answer

$$\frac{n^9}{m^4}$$

Question 15

Function A is represented with the equation -3x + 2y = 10.

The graph of function B has a slope of $$\frac{3}{2}$$ and a y-intercept of 6.

Select two statements that are true about function A and function B.

Accepted Answer

A. Functions A and B have the same slope.

Accepted Answer

F. The y-intercept of function B is greater than the y-intercept of function A.

Answer

C. The slope of function A is greater than the slope of function B.

Answer

B. Functions A and B have the same y-intercept.

Answer

D. The slope of function B is greater than the slope of function A.

Question 16

The height of a golfball hit upward from the ground is given by the quadratic function $$h=120t-16t^2$$ , where $$h$$ is in feet and $$t$$ is in seconds. What is a reasonable range in context of this scenario?

Accepted Answer

$$0\le y\le225$$

Answer

$$0\le y\le120$$

Answer

$$0\le y<\infty$$

Answer

$$-\infty<y<\infty$$

Question 17

Select the type of function that best represents the table.

Function A is:

Accepted Answer

quadratic

Answer

linear

Answer

exponential

Question 18

Select the type of function that best represents the table.

Function B is:

Accepted Answer

exponential

Answer

linear

Answer

quadratic

Question 19

Select the type of function that best represents each table. Function C is:

Accepted Answer

linear

Answer

quadratic

Answer

exponential

Question 20

Graph the line of the equation $$y-3=2(x+1)$$ .

Accepted Answer

Question 21

Solve $$-2\le-3x+10$$ for x.

Select the graph that matches your solution.

Accepted Answer

Question 22

Given the system of equations compare their key characteristics to determine the type of solution.

Line 1: slope=3 y-intercept= -2

Line 2: 4x + 3y = 12

Accepted Answer

The slopes and y-intercepts are both different. The system will create intersecting lines and therefore have one solution

Answer

The slopes and y-intercepts are both the same. The system will create one line and therefore infinite number of solutions.

Answer

The slopes are the same and the y-intercepts are different. The system will create parallel lines and therefore have no solutions.

Answer

The slopes and y-intercepts are both different. The system will create intersecting lines and therefore have no solutions.

Question 23

The value in dollars, v(x), of a certain car after x years is represented by the equation $$v(x)=25,000(0.86)^x$$ .

To the nearest dollar, how much more is the car worth after 2 years than after 3 years?

Accepted Answer

2589

Answer

6510

Answer

15901

Answer

18490

Question 24

Which statement is true based off the graph.

Accepted Answer

10 minutes costs $20 for both companies.

Answer

20 minutes costs $10 for both companies.

Answer

Company Z is cheaper for minutes less than 10.

Answer

Company S is more expensive for less than 10.

Question 25

Which sets of ordered pairs represent a function? Select all that apply.

Accepted Answer

{(1, 5), (2, 5), (3, 5)}

Accepted Answer

{(3, 2), (5, 1), (4, 0)}

Answer

{(1, 0), (2, 1), (2, 3)}

Answer

{(1, 3), (1, 4), (1, 5)}

Answer

{(3, 1), (2, 2), (3, 3)}

Question 26

What is the range of the function graphed below?

Accepted Answer

[-3, 2]

Answer

[-1, 6]

Answer

(-1, 6)

Answer

(-3, 2)

Question 27

What is the complete factorization of $$25x^2-36$$ ?

Accepted Answer

(5x + 6)(5x - 6)

Answer

(5x + 6)(5x + 6)

Answer

(5x - 6)(5x - 6)

Answer

(6x + 5)(6x - 5)

Question 28

The table shows the time students spent practicing the day before the 100 meter sprint and the finishing time for the sprint.

Accepted Answer

The correlation coefficient is -0.99, which suggests a strong negative correlation between the variables.

Answer

The correlation coefficient is 0.09, which suggests a weak positive correlation between the variables.

Answer

The correlation coefficient is 0.99, which suggests a strong positive correlation between the variables.

Answer

The correlation coefficient is -0.01, which suggests a weak negative correlation between the variables.

Question 29

Look at the two expressions:

Expression 1: 3(y + 4)

Expression 2: 3y + 4

Which of the following statement is true?

Accepted Answer

For any value of y the expressions are not equivalent.

Answer

For any value of y the expressions are equivalent.

Answer

The expressions are equivalent because both expressions have a value of 4 when y = 0.

Answer

The expressions are not equivalent because they only have the same value when y = 0.

Question 30

For an algebra class, all students took a unit 5 test. The score and the amount of hours they studied are contained on the graph below. Each letter represents a student. If a student scores a 63 on test approximately how long did they study for?

Accepted Answer

30 minutes

Answer

6 hours

Answer

4.5 hours

Answer

3.5 hours

Question 31

Xander is solving the function below using the quadratic formula. His solution method is recorded below. Identify the step in which Xander made an error and then correct the mistake.

Given: $$2x^2-13x-24=0$$

Step 1: $$\frac{13\pm\sqrt[]{\left(-13\right)^2-4\left(2\right)\left(-24\right)}}{2\left(2\right)}$$

Step 2: $$\frac{13\pm\sqrt{23}}{2\left(2\right)}$$

Step 3: $$\frac{13\pm\sqrt[]{23}}{4}$$

Accepted Answer

Step 2: The discriminant should be 361.

Answer

Step 1: 13 should be negative outside the square root.

Answer

Step 1: 13 should be positive. The discriminant should be 361.

Answer

Xander did not make an error. The solution is correct.

Question 32

The graph of a quadratic function is shown below. An equation that represents the function could be:

Accepted Answer

$$q(x)=-\frac{1}{2}(x-15)^2+25$$

Answer

$$q(x)=\frac{1}{2}(x+15)^2-25$$

Answer

$$q(x)=-\frac{1}{2}(x+15)^2-25$$

Answer

$$q(x)=\frac{1}{2}(x-15)^2+25$$

Question 33

Using the table below, determine what type of function is represented.

Accepted Answer

C. Exponential

Answer

A. Linear

Answer

B. Quadratic

Answer

D. None

Question 34

A student tried to multiply two binomials. Their work is shown below:

Step 1: $$(2x-3)(x-2)$$

Step 2: $$2x^2-4x-3x-6$$

Step 3: $$2x^2-7x-6$$

In which step did the student make the first error?

Accepted Answer

B. Step 2

Answer

A. Step 1

Answer

C. Step 3

Question 35

Solve P = 2(l + w) for l.

Accepted Answer

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

Answer

$$l=\frac{P}{2}+w$$

Answer

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

Answer

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

Question 36

Does the system of equations:

y = 3/2 x + 2

-2x + 3y = 6

have no solution, one solution, or infinitely many solutions?

Accepted Answer

B) One solution

Answer

A) No solution

Answer

C) Infinitely many solutions

Question 37

Solve the system of equations.

Accepted Answer

(6, 3)

Answer

(10, 3)

Answer

(15, 3)

Answer

No solution

Answer

Infinite Solution

Question 38

What is the solution to this system?

Accepted Answer

Infinitely Many Solutions

Answer

One Solution

Answer

No solution

Question 39

This system has _____ solutions

Accepted Answer

0

Answer

1

Answer

2

Answer

Infinitely many

Question 40

The table shows the values of an exponential function.

Select ALL true statements about the function modeled by the values shown in the table.

Accepted Answer

The y-intercept of the functions is 2

Accepted Answer

The horizontal asymptote of the function is y = 0

Answer

The x-intercept of the function is -5

Answer

The function is decreasing in its domain

Answer

The vertical asymptote of the function is x = 1.5

Question 41

Identify the key features of the following quadratic function.

$$f\left(x\right)=2\left(x-3\right)^2+5$$

Accepted Answer

The axis of symmetry is x = 3, the vertex is (3, 5), the function has a minimum value of 5.

Answer

The axis of symmetry is x = 3, the vertex is (3, 5), the function has a maximum value of 5.

Answer

The axis of symmetry is x = -3, the vertex is (-3, 5), the function has a minimum value of 5.

Answer

The axis of symmetry is x = -3, the vertex is (-3, 5), the function has a maximum value of 5.

Question 42

Given $$f\left(x\right)=x^3-2x^2-x$$ what is f(-4)?

Accepted Answer

-92

Answer

-100

Answer

-44

Answer

-36

Question 43

Which equations represent a line that passes through the point (3, -1) and has a slope of 2.

Select ALL that apply.

Accepted Answer

$$y=2x-7$$

Accepted Answer

$$2x-y=7$$

Answer

$$y=2x+5$$

Answer

$$y-1=2x+3$$

Answer

$$y+1=2x-3$$

Question 44

Choose the quadratic equation that has x-intercepts of $$-\frac{1}{3}$$ and $$\frac{5}{2}$$

Accepted Answer

$$f\left(x\right)=\left(3x+1\right)\left(2x-5\right)$$

Answer

$$f\left(x\right)=\left(x-3\right)\left(5x+2\right)$$

Answer

$$f\left(x\right)=\left(x+3\right)\left(5x-2\right)$$

Answer

$$f\left(x\right)=\left(3x-1\right)\left(2x+5\right)$$

Question 45

A coffee shop sells donuts for $2 and muffins for $3. On a very cold morning, the shop sold 10 more donuts than muffins and made $250. Which system of equations could be used to find the number of donuts, d, and muffins, m, that the shop sold that day?

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Intermediate Algebra -- Practice EOC

58 questions

The diagram below shows the ages of 4 students in a class. Kellen says that this example is NOT a function because more than one student is 13 years old. Do you agree with Kellen? Why or why not?

Which equation does not match the parabola below?

Sophia is selling bracelets and necklaces at her stall. She sells each bracelet for $6.25 and each necklace for $12.50. In one day she sold a total of 15 bracelets and necklaces and made $125. How many necklaces did Sophia sell?

Which number is a zero of the function y = 2x² + 5x - 3?

You want to join a gym. There are 3 gyms that are close to you. The following representations show the total monthly cost for each gym.
Which gym charges the most per month?

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Intermediate Algebra -- Practice EOC

58 questions

The diagram below shows the ages of 4 students in a class. Kellen says that this example is NOT a function because more than one student is 13 years old. Do you agree with Kellen? Why or why not?

Which equation does not match the parabola below?

Sophia is selling bracelets and necklaces at her stall. She sells each bracelet for $6.25 and each necklace for $12.50. In one day she sold a total of 15 bracelets and necklaces and made $125. How many necklaces did Sophia sell?

Which number is a zero of the function y = 2x² + 5x - 3?

You want to join a gym. There are 3 gyms that are close to you. The following representations show the total monthly cost for each gym.Which gym charges the most per month?

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

You want to join a gym. There are 3 gyms that are close to you. The following representations show the total monthly cost for each gym.
Which gym charges the most per month?