Call Now to Set Up Tutoring:

(888) 888-0446

ACT Math : Linear / Rational / Variable Equations

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 #31 : Linear / Rational / Variable Equations

What is the slope of the line 7y – 4x = 27

Possible Answers:

$\frac{4}{7}$

$-\frac{7}{4}$

$-\frac{4}{7}$

$\frac{7}{4}$

Correct answer:

$\frac{4}{7}$

Explanation:

Adding 4x to both sides of the equation and dividing by 7 yields a slope of 4/7.

Report an Error

Example Question #31 : Equations / Inequalities

If you drove at an average speed of 78 miles per hour, what distance, in miles, did you drive in 140 minutes?

Possible Answers:

182

1.8

4,680

156

Correct answer:

182

Explanation:

140 minutes is 7/3 of an hour. Multiplied by the speed of 78mph, we obtain 182 miles traveled.

Report an Error

Example Question #1801 : Act Math

3x + 9i² – 5x = 17

What is x?

Possible Answers:

–1

–4

–13

Correct answer:

–13

Explanation:

i = $\sqrt{-1}$

i²= -1

3x + 9i² – 5x = 17

3x + 9(–1) – 5x = 17

–2x – 9 = 17

–2x = 26

x = –13

Report an Error

Example Question #1802 : Act Math

Solve for x:

3x + 4y = 26

–5x + 12y = 14

Possible Answers:

$-\frac{7}{32}$

$\frac{32}{7}$

$\frac{7}{32}$

$-\frac{32}{7}$

$\frac{46}{7}$

Correct answer:

$\frac{32}{7}$

Explanation:

Eliminate y and solve for x.

3x + 4y = 26 (multiply by –3)

–5x + 12y = 14

(–3)3x +(–3) 4y = (–3)26

–5x + 12y = 14

–9x +-12y = –78

–5x + 12y = 14

–14x + 0y = –64

x = –64/–14 = 32/7

Report an Error

Example Question #1803 : Act Math

Michael is counting his money. He notices he has one more quarter than he does dimes, as well as one less nickel than dimes. The total cash he has is $2.60. How many coins does he have in total?

Possible Answers:

Correct answer:

Explanation:

The general form for money problems is $V_{1}N_{1} + V_{2}N_{2} + V_{3}N_{3} =$ $\$\ total$ , where is the value of the coin and is the number of coins.

Let = # of dimes, x + 1 = # of quarters, and x - 1 = # of nickels.

So, 0.10x + 0.25(x + 1) + 0.05(x - 1) = 2.60 , and solving gives x = 6 . Therefore there are 6 dimes, 7 quarters, and 5 nickels, giving 18 coins in total.

Report an Error

Example Question #1804 : Act Math

What value of will satisfy the equation

5(z+3)= 2z+12

Possible Answers:

3/7

-3/7

Correct answer:

Explanation:

The answer is .

The solve this equation, first distribute the to obtain 5z+15= 2z+12

Proceed to subtract from both sides to get 3z+15=12

Subtract from both sides to leave 3z=-3

Divide both sides by to get the answer, z=-1

Report an Error

Example Question #1805 : Act Math

Given that 2x+1=3x-2 , what is the value of ?

Possible Answers:

$\frac{3}{2}$

$\frac{5}{7}$

Correct answer:

Explanation:

First, we must solve the equation for by subtracting from both sides:

2x-2x+1=3x-2x-2

1=x-2

Then we must add to both sides:

1+2=x-2+2

3=x

Report an Error

Example Question #31 : Algebra

Internet service costs $0.50 per minute for the first ten minutes and is $0.20 a minute thereafter. What is the equation that represents the cost of internet in dollars when time is greater than 10 minutes?

Possible Answers:

5 + 0.20 (x+10)

5.00 + 0.20 (x)

5.00 + 0.20 (x-10)

10 + 0.20 (x-10)

5.00

Correct answer:

5.00 + 0.20 (x-10)

Explanation:

The first ten minutes will cost $5. From there we need to apply a $0.20 per-minute charge for every minute after ten. This gives

$\$0.20(x-10)+5$ .

Report an Error

Example Question #1808 : Sat Mathematics

John goes on a trip of kilometers at a speed of kilometers an hour. How long did the trip take?

Possible Answers:

c+b

b/c

b-c

c/b

c-b

Correct answer:

b/c

Explanation:

If we take the units and look at division, miles/(miles/hour) will yield hours as a unit. Therefore the answer is b/c .

Report an Error

Example Question #1809 : Sat Mathematics

With a $25\ mph$ head wind a plane can fly a certain distance in five hours. The return flight takes an hour less. How fast was the plane flying?

Possible Answers:

$175\ mph$

$225\ mph$

$300\ mph$

$125\ mph$

$275\ mph$

Correct answer:

$225\ mph$

Explanation:

In general, $distance=rate\times time$ .

The distance is the same going and coming; however, the head wind affects the rate. The equation thus becomes $(r-25)\times 5=(r+25)\times 4$ .

Solving for $r$ gives $r=225\ mph$ .

Report an Error

View ACT Math Tutors

Anton
Certified Tutor

Massachusetts Institute of Technology, Bachelor of Science, Computer Engineering, General.

View ACT Math Tutors

John
Certified Tutor

Arizona State University, Bachelor of Science, Microbiology.

View ACT Math Tutors

Blake
Certified Tutor

Vanderbilt University, Bachelors, Neuroscience.

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 San Diego, GRE Courses & Classes in Phoenix, SSAT Courses & Classes in Atlanta, SAT Courses & Classes in Boston, ACT Courses & Classes in Boston, GMAT Courses & Classes in San Francisco-Bay Area, Spanish Courses & Classes in San Francisco-Bay Area, GMAT Courses & Classes in Miami, MCAT Courses & Classes in Seattle, SAT Courses & Classes in Denver

Popular Test Prep

GMAT Test Prep in San Francisco-Bay Area, SAT Test Prep in Atlanta, ISEE Test Prep in Los Angeles, GMAT Test Prep in San Diego, GMAT Test Prep in Phoenix, ACT Test Prep in Boston, ACT Test Prep in Houston, ACT Test Prep in Los Angeles, GRE Test Prep in Seattle, SSAT Test Prep in Boston

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 : Linear / Rational / Variable Equations

Study concepts, example questions & explanations for ACT Math

All ACT Math Resources

Example Questions

Example Question #31 : Linear / Rational / Variable Equations

Example Question #31 : Equations / Inequalities

Example Question #1801 : Act Math

Example Question #1802 : Act Math

Example Question #1803 : Act Math

Example Question #1804 : Act Math

Example Question #1805 : Act Math

Example Question #31 : Algebra

Example Question #1808 : Sat Mathematics

Example Question #1809 : Sat Mathematics

All ACT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: