Call Now to Set Up Tutoring:

(888) 888-0446

ACT Math : Evaluating Expressions

Study concepts, example questions & explanations for ACT Math

Create An Account

All ACT Math Resources

14 Diagnostic Tests 767 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : How To Evaluate Algebraic Expressions

If x = y – 3, then (y – x)³=

Possible Answers:

–27

–9

Correct answer:

Explanation:

Solve for equation for y – x = 3. Then, plug in 3 into (y – x)³= 27.

Report an Error

Example Question #1 : Evaluating Expressions

When graphed in the (x,y) coordinate plane, at what point do the lines -2x + 4y = 5 and y = -2 intersect?

Possible Answers:

(13/2,2)

(2,-2)

(13/2,-2)

(-13/2,-2)

Correct answer:

(-13/2,-2)

Explanation:

Plugging in y=-2 in the second equation, gives x=-13/2. This is the point where the graphs intersect.

Report an Error

Example Question #31 : Expressions

The length in cm of a plastic container is 5cm less than triple its width. Which of the following equations is an accurate description of the length, l, as a function of the width, w?

Possible Answers:

l = ¹/₃w – 5

l = 3w – 5

l = 3w + 5

l = ⁵/₃w + ³/₅

l = ¹/₃w + 5

Correct answer:

l = 3w – 5

Explanation:

This problem requires the development of an equation. We are told that the length is 5cm less than 3 times its width. So we should set up an equation that describes this situation. The equation l = 3w – 5 demonstrates how the length is 5 cm less than 3 times the width of the container.

Report an Error

Example Question #4 : How To Evaluate Algebraic Expressions

The expression x(9 + x)(x – 2) = 4 is a polynomial of which degree?

Possible Answers:

Correct answer:

Explanation:

The highest power this polynomial can achieve is 3.

Report an Error

Example Question #1 : Evaluating Expressions

Given that x = 2 and y = 3, how much less is the value of 3x² – 2y than the value of 3y²– 2x?

Possible Answers:

Correct answer:

Explanation:

First, we solve each expression by plugging in the given values for x and y:

3(2²) – 2(3) = 12 – 6 = 6

3(3²) – 2(2) = 27 – 4 = 23

Then we find the difference between the first and second expressions’ values:

23 – 6 = 17

Report an Error

Example Question #6 : How To Evaluate Algebraic Expressions

Evaluate 4x²+ 6x – 17, when x = 3.

Possible Answers:

Correct answer:

Explanation:

Plug in 3 for x, giving you 36 + 18 – 17, which equals 37.

Report an Error

Example Question #7 : How To Evaluate Algebraic Expressions

John has a motorcycle. He drives it to the store, which is 30 miles away. It takes him 30 minutes to drive there and 60 minutes to drive back, due to traffic. What was his average speed roundtrip in miles per hour?

Possible Answers:

50 mph

60 mph

30 mph

40 mph

45 mph

Correct answer:

40 mph

Explanation:

The whole trip is 60 miles, and it takes 90 minutes, which is 1.5 hours.

Miles per hour is 60/1.5 = 40 mph

Report an Error

Example Question #8 : How To Evaluate Algebraic Expressions

If (xy/2) – 3w = –9, what is the value of w in terms of x and y?

Possible Answers:

(1/3)xy + 6

3xy + 6

3xy – 6

w = 3 + (xy/6)

(1/2)xy – 3

Correct answer:

w = 3 + (xy/6)

Explanation:

–3w = –9 – (xy/2)

w = 3 + (xy/6)

Report an Error

Example Question #44 : Expressions

Evaluate 5x²+ 16x + 7 when x = 7

Possible Answers:

364

361

365

363

362

Correct answer:

364

Explanation:

Plug in 7 for x and you get 5(49) + 16(7) + 7 = 364

Report an Error

Example Question #1 : How To Evaluate Algebraic Expressions

Let $\dpi{100} \small a\&hash;b=(2a-b)^{2}$ for all integers $\dpi{100} \small a$ and $\dpi{100} \small b$ . Which of the following is the value of $\dpi{100} \small -2\&hash;5$ ?

Possible Answers:

$\dpi{100} \small 1$

$\dpi{100} \small 144$

$\dpi{100} \small -81$

$\dpi{100} \small 81$

$\dpi{100} \small -9$

Correct answer:

$\dpi{100} \small 81$

Explanation:

In order to solve the expression, replace $\dpi{100} \small a$ with $\dpi{100} \small -2$ and $\dpi{100} \small b$ with $\dpi{100} \small 5$ in the definition given:

$\dpi{100} \small a\&hash;b=(2(-2) -5)^{2}$

$\dpi{100} \small a\&hash;b=(-4 -5)^{2}$

$\dpi{100} \small a\&hash;b=(-9)^{2}$

$\dpi{100} \small a\&hash;b=81$

Report an Error

View ACT Math Tutors

Anne
Certified Tutor

University of Maryland-Baltimore, Doctor of Science, Accounting.

View ACT Math Tutors

Satweka
Certified Tutor

The University of Texas at Dallas, Master of Science, Biomedical Engineering.

View ACT Math Tutors

Leonard
Certified Tutor

Florida State University, Bachelor of Science, Environmental Science.

All ACT Math Resources

14 Diagnostic Tests 767 Practice Tests Question of the Day Flashcards Learn by Concept

ACT Math Tutors in Top Cities:

Atlanta ACT Math Tutors, Austin ACT Math Tutors, Boston ACT Math Tutors, Chicago ACT Math Tutors, Dallas Fort Worth ACT Math Tutors, Denver ACT Math Tutors, Houston ACT Math Tutors, Kansas City ACT Math Tutors, Los Angeles ACT Math Tutors, Miami ACT Math Tutors, New York City ACT Math Tutors, Philadelphia ACT Math Tutors, Phoenix ACT Math Tutors, San Diego ACT Math Tutors, San Francisco-Bay Area ACT Math Tutors, Seattle ACT Math Tutors, St. Louis ACT Math Tutors, Tucson ACT Math Tutors, Washington DC ACT Math Tutors

Popular Courses & Classes

GMAT Courses & Classes in Washington DC, MCAT Courses & Classes in Miami, GMAT Courses & Classes in Boston, ISEE Courses & Classes in San Diego, Spanish Courses & Classes in Los Angeles, SAT Courses & Classes in Philadelphia, MCAT Courses & Classes in Phoenix, GRE Courses & Classes in Chicago, LSAT Courses & Classes in Los Angeles, SAT Courses & Classes in Miami

Popular Test Prep

ISEE Test Prep in San Francisco-Bay Area, SAT Test Prep in Los Angeles, SAT Test Prep in Phoenix, LSAT Test Prep in Phoenix, ISEE Test Prep in Chicago, ACT Test Prep in Los Angeles, ISEE Test Prep in Seattle, GMAT Test Prep in Miami, GMAT Test Prep in Washington DC, MCAT Test Prep in Dallas Fort Worth

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

ACT Math : Evaluating Expressions

Study concepts, example questions & explanations for ACT Math

All ACT Math Resources

Example Questions

Example Question #1 : How To Evaluate Algebraic Expressions

Example Question #1 : Evaluating Expressions

Example Question #31 : Expressions

Example Question #4 : How To Evaluate Algebraic Expressions

Example Question #1 : Evaluating Expressions

Example Question #6 : How To Evaluate Algebraic Expressions

Example Question #7 : How To Evaluate Algebraic Expressions

Example Question #8 : How To Evaluate Algebraic Expressions

Example Question #44 : Expressions

Example Question #1 : How To Evaluate Algebraic Expressions

All ACT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: