MathTV Logo TOPICS
 
CHOOSE A TOPIC
MathTV Logo

Search Results
Math Topics

Elementary Algebra
Linear Equations and Inequalities

1
Simplifying Expressions

Problem 1

Simplify.

  1. \(3x+4x\)

  2. \(7a-10a\)

  3. \(18y-10y+6y\)

Choose instructor to watch:
Arielle cc
Arielle
Molly M. cc
Molly M.
Preston cc
Preston
David spanish language icon
David
Problem 2

Simplify.

  1. \(3x+5+2x-3\)

  2. \(4a-7-2a+4\)

  3. \(5x+8-x-6\)

Choose instructor to watch:
Arielle cc
Arielle
Molly M. cc
Molly M.
CJ cc
CJ
David spanish language icon
David
Problem 3

Simplify \(5(2x-8)-3\)

Choose instructor to watch:
Arielle cc
Arielle
Molly M. cc
Molly M.
Preston cc
Preston
David spanish language icon
David
Problem 4

Simplify \(7-3(2y+1)\)

Choose instructor to watch:
Stefanie cc
Stefanie
CJ cc
CJ
Arielle cc
Arielle
David spanish language icon
David
Problem 5

Simplify \(5(x-2)-(3x+4)\)

Choose instructor to watch:
Arielle cc
Arielle
Molly M. cc
Molly M.
Preston cc
Preston
David spanish language icon
David
Problem 6

Find the value of the expression \(2x-3y+4\) when \(x\) is \(-5\) and \(y\) is \(6\).

Choose instructor to watch:
Arielle cc
Arielle
Molly M. cc
Molly M.
Preston cc
Preston
David spanish language icon
David
Problem 7

Find the value of the expression \(x^2-2xy+y^2\) when \(x\) is \(3\) and \(y\) is \(-4\).

Choose instructor to watch:
Arielle cc
Arielle
Molly M. cc
Molly M.
CJ cc
CJ
David spanish language icon
David
Problem 8

Substitute \(1, 2, 3,\) and \(4\) for \(n\) in the expression \(2n-1\)

Choose instructor to watch:
Arielle cc
Arielle
Molly M. cc
Molly M.
Preston cc
Preston
David spanish language icon
David

2
Addition Property of Equality

Problem 1

Is \(5\) a solution to \(2x-3=7\)?

Choose instructor to watch:
Jesse cc
Jesse
Preston cc
Preston
David spanish language icon
David
Problem 2

Is \(-2\) a solution to \(8=3x+4\)?

Choose instructor to watch:
Arielle cc
Arielle
Molly M. cc
Molly M.
Preston cc
Preston
Cynthia spanish language icon
Cynthia
Problem 3

Show that these sets of equations have the same solution set.

Choose instructor to watch:
Katrina cc
Katrina
CJ cc
CJ
Cynthia spanish language icon
Cynthia
Problem 4

Solve \(x-5=12\)

Choose instructor to watch:
Arielle cc
Arielle
Preston cc
Preston
David spanish language icon
David
Problem 5

Solve \(a+\displaystyle\frac{3}{4}=-\displaystyle\frac{1}{2}\)

Choose instructor to watch:
Aaron cc
Aaron
Molly M. cc
Molly M.
Preston cc
Preston
Anthony spanish language icon
Anthony
Problem 6

Solve \(7.3+x=-2.4\)

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague
Preston cc
Preston
Arielle cc
Arielle
Cynthia spanish language icon
Cynthia
Problem 7

Solve \(2x+2+2x=7+5\)

Choose instructor to watch:
Arielle cc
Arielle
Preston cc
Preston
Molly M. cc
Molly M.
Anthony spanish language icon
Anthony
Problem 8

Solve \(4(2a-3)-7a=2-5\)

Choose instructor to watch:
Arielle cc
Arielle
Preston cc
Preston
Lauren cc
Lauren
Cynthia spanish language icon
Cynthia
Problem 9

Solve \(3x-5=2x+7\)

Choose instructor to watch:
Lauren cc
Lauren
Preston cc
Preston
Molly M. cc
Molly M.
David spanish language icon
David

3
Multiplication Property of Equality

Problem 1

Solve: \(5x=30\)

Choose instructor to watch:
Nathan cc
Nathan
Claire cc
Claire
Breylor cc
Breylor
Octabio spanish language icon
Octabio
Problem 2

Solve \(-4a=24\)

Choose instructor to watch:
Lauren cc
Lauren
Molly M. cc
Molly M.
Preston cc
Preston
Cynthia spanish language icon
Cynthia
Problem 3

Solve \(-\displaystyle\frac{t}{3}=5\)

Choose instructor to watch:
Molly M. cc
Molly M.
Preston cc
Preston
David spanish language icon
David
Problem 4

Solve \(\displaystyle\frac{2}{3}y=4\)

Choose instructor to watch:
Molly M. cc
Molly M.
Lauren cc
Lauren
Preston cc
Preston
Cynthia spanish language icon
Cynthia
Problem 5

Solve \(5+8=10x+20x-4x\)

Choose instructor to watch:
Jesse cc
Jesse
Preston cc
Preston
Anthony spanish language icon
Anthony
Problem 6

Solve \(6x+5=-13\)

Choose instructor to watch:
CJ cc
CJ
Stefanie cc
Stefanie
Preston cc
Preston
Cynthia spanish language icon
Cynthia
Problem 7

Solve \(5x=2x+12\)

Choose instructor to watch:
CJ cc
CJ
Stefanie cc
Stefanie
Preston cc
Preston
Cynthia spanish language icon
Cynthia
Problem 8

Solve: \(3x-4=-2x+6\)

Choose instructor to watch:
CJ cc
CJ
Stefanie cc
Stefanie
Preston cc
Preston
Cynthia spanish language icon
Cynthia
Problem 9

Solve \(\displaystyle\frac{2}{3}x+\displaystyle\frac{1}{2}=-\displaystyle\frac{3}{4}\)

Choose instructor to watch:
Preston cc
Preston
Betsy cc
Betsy
David spanish language icon
David
Problem 10

Solve \(2(x+3)=10\)

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague
Arielle cc
Arielle
Matt cc
Matt
David spanish language icon
David

4
Solving Linear Equations

Problem 1

Solve for \(x\): \(\:3(x-5)+4=13\)

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague
Matt cc
Matt
Cynthia spanish language icon
Cynthia
Problem 2

Solve \(5(x-3)+2=5(2x-8)-3\)

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague
Molly M. cc
Molly M.
CJ cc
CJ
Cynthia spanish language icon
Cynthia
Problem 3

Solve \(7-3(2y+1)=16\)

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague
Arielle cc
Arielle
David cc
David
David spanish language icon
David
Problem 4

Solve \(3(2x-5)-(2x-4)=6-(4x+5)\)

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague
Arielle cc
Arielle
Matt cc
Matt
David spanish language icon
David
Problem 5

Solve: \(\dfrac{2}{3}x+\dfrac{1}{2}=-\dfrac{3}{4}\)

Choose instructor to watch:
Mrs. Mooney cc
Mrs. Mooney
Breylor cc
Breylor
Nathan cc
Nathan
Octabio spanish language icon
Octabio
Problem 6

Solve: \(\dfrac{1}{3}(x-4)+2x=\dfrac{3}{5}(4x+1)\)

Choose instructor to watch:
Nathan cc
Nathan
Claire cc
Claire
Breylor cc
Breylor
Octabio spanish language icon
Octabio
Problem 7

Solve \(0.08x+0.09(x+2,000)=690\)

Choose instructor to watch:
Arielle cc
Arielle
Molly M. cc
Molly M.
CJ cc
CJ
David spanish language icon
David
Problem 8

Solve \(9a-2(3a+5)=3(a-1)-7\)

Choose instructor to watch:
Nathan cc
Nathan
Claire cc
Claire
Breylor cc
Breylor
Octabio spanish language icon
Octabio
Problem 9

Solve: \(\dfrac{1}{6}(5x+3)-\dfrac{1}{2}x=\dfrac{1}{3}(x-5)\)

Choose instructor to watch:
Nathan cc
Nathan
Claire cc
Claire
Breylor cc
Breylor
Octabio spanish language icon
Octabio

5
Formulas and Percents

Problem 1

The perimeter \(P\) of a rectangle livestock pen is \(40\) feet. If the width is \(6\) feet, find the length.

Choose instructor to watch:
Betsy cc
Betsy
Molly M. cc
Molly M.
CJ cc
CJ
Cynthia spanish language icon
Cynthia
Problem 2

Find \(y\) when \(x=4\) in the formula \(3x+2y=6\).

Choose instructor to watch:
Molly M. cc
Molly M.
Betsy cc
Betsy
Preston cc
Preston
David spanish language icon
David
Problem 3

Solve \(3x+2y=6\) for \(y\).

Choose instructor to watch:
Molly M. cc
Molly M.
Betsy cc
Betsy
CJ cc
CJ
Cynthia spanish language icon
Cynthia
Problem 4

Solve \(h=vt-16t^2\) for \(v\).

Choose instructor to watch:
Betsy cc
Betsy
Preston cc
Preston
Anthony spanish language icon
Anthony
Problem 5

Solve for \(y\): \(\displaystyle\frac{y-1}{x}=\displaystyle\frac{3}{2}\)

Choose instructor to watch:
Betsy cc
Betsy
Molly M. cc
Molly M.
CJ cc
CJ
Cynthia spanish language icon
Cynthia
Problem 6

What number is \(25\%\) of \(60\)?

Choose instructor to watch:
Betsy cc
Betsy
Stefanie cc
Stefanie
CJ cc
CJ
Cynthia spanish language icon
Cynthia
Problem 7

What percent of \(24\) is \(6\)?

Choose instructor to watch:
Betsy cc
Betsy
Preston cc
Preston
Aaron cc
Aaron
Anthony spanish language icon
Anthony
Problem 8

\(45\) is \(75\%\) of what number?

Choose instructor to watch:
Betsy cc
Betsy
CJ cc
CJ
Cynthia spanish language icon
Cynthia

6
Applications

Problem 1

The sum of twice a number and three is seven. Find the number.

Choose instructor to watch:
Betsy cc
Betsy
Molly M. cc
Molly M.
CJ cc
CJ
Edwin spanish language icon
Edwin
Problem 2

One number is three more than twice another; their sum is eighteen. Find the numbers.

Choose instructor to watch:
Betsy cc
Betsy
Molly M. cc
Molly M.
Preston cc
Preston
Edwin spanish language icon
Edwin
Problem 3

Bill is \(6\) years older than Tom. Three years ago Bill’s age was four times Tom’s age. Find their ages now.

Choose instructor to watch:
Betsy cc
Betsy
Molly M. cc
Molly M.
CJ cc
CJ
Edwin spanish language icon
Edwin
Problem 4

The length of a rectangle is \(5\) inches more than twice the width. The perimeter is \(34\) inches. Find the length and width.

Choose instructor to watch:
Betsy cc
Betsy
Preston cc
Preston
Edwin spanish language icon
Edwin
Problem 5

Jennifer has \(\$2.45\) in dimes and nickels. If she has \(8\) more dimes than nickels, how many of each coin does she have?

Choose instructor to watch:
Betsy cc
Betsy
CJ cc
CJ
Edwin spanish language icon
Edwin

7
More Applications

Problem 1

The sum of two consecutive odd integers is \(28\). Find the two integers.

Choose instructor to watch:
Betsy cc
Betsy
Molly S. cc
Molly S.
CJ cc
CJ
Edwin spanish language icon
Edwin
Problem 2

You invest money into two accounts. One account pays \(8\%\) annual interest and the other pays \(9\%\). You invest \(\$2000\) more in the account that pays \(9\%\) in annual interest. If the total interest earned at the end of the year is \(\$690\), how much is in each account?

Choose instructor to watch:
Betsy cc
Betsy
Molly S. cc
Molly S.
Preston cc
Preston
Edwin spanish language icon
Edwin
Problem 3

How much of a \(30\%\) alcohol solution and \(60\%\) alcohol solution must be mixed to get \(15\) gallons of \(50\%\) alcohol?

Choose instructor to watch:
Mrs. Mooney cc
Mrs. Mooney
Breylor cc
Breylor
Nathan cc
Nathan
Octabio spanish language icon
Octabio
Problem 4

The angles of a triangle are such that one angle is twice the smallest angle, whereas the third angle is three times as large as the smallest angle. Find the measure of all three angles.

Choose instructor to watch:
Betsy cc
Betsy
Molly S. cc
Molly S.
CJ cc
CJ
Edwin spanish language icon
Edwin

8
Linear Inequalities

Problem 1

Introduction Using the properties for inequalities correctly and avoiding common mistakes.

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague
Problem 2

Solve \(x+5<7\)

Choose instructor to watch:
Stephanie cc
Stephanie
Preston cc
Preston
David spanish language icon
David
Problem 3

Solve \(x-6 \leq -3\)

Choose instructor to watch:
Molly M. cc
Molly M.
Stephanie cc
Stephanie
Preston cc
Preston
Edwin spanish language icon
Edwin
Problem 4

Solve and graph \(3a<15\)

Choose instructor to watch:
Stephanie cc
Stephanie
Preston cc
Preston
Edwin spanish language icon
Edwin
Problem 5

Solve and graph \(-3a\leq 18\)

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague
Katrina cc
Katrina
CJ cc
CJ
David spanish language icon
David
Problem 6

Solve and graph \(-\displaystyle\frac{x}{4}>2\)

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague
Katrina cc
Katrina
CJ cc
CJ
Edwin spanish language icon
Edwin
Problem 7

Solve \(2.5x-3.48<-4.9x+2.07\)

Choose instructor to watch:
Katrina cc
Katrina
Betsy cc
Betsy
Preston cc
Preston
Edwin spanish language icon
Edwin
Problem 8

Solve \(3(x-4)\geq -2\)

Choose instructor to watch:
Katrina cc
Katrina
Preston cc
Preston
Edwin spanish language icon
Edwin
Problem 9

Solve \(2(1-3x)+4<4x-14\), and graph the solution set.

Choose instructor to watch:
Stefanie cc
Stefanie
Preston cc
Preston
Edwin spanish language icon
Edwin
Problem 10

Solve \(2x-3y<6\) for \(y\).

Choose instructor to watch:
Katrina cc
Katrina
CJ cc
CJ
Edwin spanish language icon
Edwin
Problem 11

The sum of two consecutive odd integers is at most \(28\). What are the possibilities for the first of the integers?

Choose instructor to watch:
Preston cc
Preston
Stephanie cc
Stephanie
Edwin spanish language icon
Edwin