math

Mathematics CSS Template
Intermediate Algebra

Linear Equations


Linear Inequalities


Literal Equations


Applications I


Absolute Value Equations


Absolute Value Inequalities


Add and Subtract Polynomials


Multiplication of Polynomials


Factoring Polynomials


Factoring Binomials


Factoring Trinomials


Solving Quadratic Equations


Applications II


Rational Expressions


Reducing Rational Expressions


Multiply and Divide Rational Expression


Add and Subtract Rational Expressions


Complex Fractions


Division of Polynomials


Synthetic Division


Solving Rational Equations


Applications III


Rational Exponents


Radicals


Radical Expressions


+, -, and x Radical Expressions


Solving Radical Equations



Copyright © 2017-2019 by Michael Griffis. All rights reserved.

Intermediate Algebra
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Linear Equations

  1. ?    Solve for x
    100x=500
    20x-30x=-100
    Video-5:30
  2. ?    Solve for x
    (4/7)x+2=50
    Video-5:06
  3. ?    Solve for x
    -(7/6)x-3/4=-1/2
    0.2x-1.67=2.40
    Video-5:52
  4. ?    Solve for x
    13x+9x=11x+5
    Solve for y
    7y+18y+9y+6=6+9y+19
    Video-7:26
  5. ?    Solve for x
    7(15x+12)=4
    9x+19x-15=14x
    Video-6:51
  6. ?    Solve for x
    20(8x+5)+14(x+16)=0
    Video-8:22
  7. ?    Solve for x
    6(15x+18)-20=19x-13(9x-20)+8
    Video-9:15
Quiz | Answer | Replay


Linear Inequalities

  1. ?    Find the solution set.
    x-7 > 1
    y+1/2 > 1/2
    Video-6:28
  2. ?    Find the solution set.
    2x ≥ 8
    -2x ≥ 8
    Video-5:53
  3. ?    Find the solution set.
    7x-15 > 12x+4
    Video-6:03
  4. ?    Find the solution set.
    (1/5)x-1/3 ≥ -3/4
    Video-5:46
  5. ?    Find the solution set.
    20(18x+5) ≤ 5
    7(-8x+1)-10x+1 ≤ 0
    Video-9:18
  6. ?    Find the solution set.
    -1 ≤ 2x+1 < 10
    Video-5:47
  7. ?    Find the solution set.
    11 < 66x-2514 < 13
    Video-8:11
  8. ?    Find the solution set.
    0 < -x/2+1 ≤ 8
    Video-6:27
  9. ?    Find the solution set.
    x ≤ 10 and x > 0
    Video-4:40
  10. ?    Find the solution set.
    x ≤ 10 or x > 0
    x ≥ 10 and x < 0
    Video-8:44
  11. ?    Find the solution set.
    3x-1 < 2 and 5x+1 > 9
    Video-5:01
  12. ?    Find the solution set.
    -4x < 7 and 2x > 3x-1
    Video-5:59
  13. ?    Find the solution set.
    x-1 ≤ 4 or 1-x < 4
    2x+10 < 10 and -2x+14 < 14
    Video-9:03
Quiz | Answer | Replay


Literal Equations

  1. ?    Solve for R , D=RT, D=40, T=20
    Solve for W, P=2L+2W, P=100, L=20
    Video-8:08
  2. ?    Solve for W and L given P=2W+2L where L is three times the width.
    Video-5:14
  3. ?    Solve for W given V=LWH
    Solve for F given C=(5/9)(F-32)
    Video-7:27
  4. ?    Solve for P given I=Prt where I=$1000, r=15%, and t=12 months
    Video-4:54
  5. ?    Solve for r, given C=2πr2
    Solve for h, given A=(1/2)bh
    Solve for h, given V=(1/3)πr2h ; Solve for m, given E=mc2
    Video-7:44
  6. ?    Solve for y, given x+2y-7=0
    Solve for y, given S=2x2+4xy
    Solve for b1, given A=(1/2)h(b1+b2)
    Solve for r, given B=P+Prt
    Solve for x1, given m(x-x1)=y-y1
    Video-9:25
Quiz | Answer | Replay


Applications I

  1. ?    Convert 64 degrees fahrenheit to celsius.
    Video-3:01
  2. ?    Aaron drove his freightliner a distance of 1112 miles in 20 hours and 45 minutes. What was his average speed?
    Video-4:40
  3. ?    John deposited $3000 in a savings account that was paying 1% simple interest. The amount of interest paid out was $2000. How long did John leave the money in his savings account?
    Video-3:44
  4. ?    The perimeter of Michael's garden is 495 meters. If the width is half the length, what are the dimensions of the garden?
    Video-6:09
  5. ?    The volume of a box is 800 meters cube. The length is four times the width and the height is 2 meters. What are the dimensions of the box?
    Video-5:40
  6. ?    The area of a right triangle is 72 meters squared. If the height is 1/3 the base, what is the height and base of the right triangle?
    Video-7:34
  7. ?    One more than a number is 10. What is that number?
    Five less than a number is 20. What is that number?
    The sum of a number and 7 is 21. What is that number?
    A number decreased by 9 is 99. What is that number?
    Video-3:08
  8. ?    The product of a number and 10 is 100. What is that number?
    Twice a number is 50. What is that number?
    The quotient of a number and six is 100. What is that number?
    Video-3:27
  9. ?    Five more than six times a number is 41. What is that number?
    Three times a certain number decreased by one-third is 2. What is that number?
    The sum of two numbers is 14. The larger number is one more than 3 times the smaller number. What are the numbers?
    Video-6:38
  10. ?    Find three consecutive integers whose sum is 78.
    Find three consecutive even integers whose sum is 72.
    Video-7:55
  11. ?    Find three integers such that the second is twice the first and the third integer is six more than the second. The sum is 256.
    Video-5:04
  12. ?    The perimeter of a rectangle is 150 m. The length is 25 m more than twice the width. What are the dimensions of the rectangle?
    Video-9:59
  13. ?    A farmer needs a rectangular garden divided into three equal plots. He has 170 yards of fencing. The length of each plot is 5 yards more than the width. What are the dimensions of the garden?
    Video-6:38
  14. ?    What should the selling price of a house be in order to have $150,000 left after paying the real estate agent 5% of the selling price?
    Video-4:43
  15. ?    Jane's clothing is having a big sale this weekend. She is going to mark up each shirt 20% above its cost. She will advertise a sale of 15% off the listed price. If the sale price is $54, what was the original price of the item?
    Video-9:52
  16. ?    Chance leaves the truckstop at noon on a bicycle traveling west at a rate of 15 mph. At 12:30pm Aaron leaves the same truckstop in a car traveling in the same direction at a rate of 60 mph. How many hours will it take Aaron to catch Chance?
    Video-8:39
  17. ?    Mike leaves Fort Smith at 1:00pm in a car traveling at a constant rate of 60 mph. John leaves Little Rock heading to Fort Smith at 2:00 pm in a car traveling at a constant rate of 70 mph. At what time will they pass each other?
    Video-9:27
Quiz | Answer | Replay


Absolute Value Equations

  1. ?    Find the solution(s), if they exist, to the equation.
      |x|=3
      |x|=-5
      |-x|=15
      |2y|=10
      |-4x|=-48
      2|x|=34
    Video-7:29
  2. ?    Find the solution(s), if they exist, to the equation.
      4|x|=-18
      |x|=0
      |2y|=0
      -4|-x|=-36
    Video-6:25
  3. ?    Find the solution(s), if they exist, to the equation.
      |x|+5=10
      |x-7|=20
      2|y-1|=10
    Video-5:08
  4. ?    Find the solution(s), if they exist, to the equation.
      |2-3y|=12
      10-|2x+5|=50
      20-|2x+5|=10
    Video-7:31
  5. ?    Find the solution(s), if they exist, to the equation.
      5|3x-7|-8=50
    Video-5:07
  6. ?    Find the solution(s), if they exist, to the equation.
      |5-2x|=|2x+7|
      |3-4x|=|9+4x|
    Video-5:54
Quiz | Answer | Replay


Absolute Value Inequalities

  1. ?    Find the solution set.
      |x|>0
      |x| ≤ 3
    Video-6:36
  2. ?    Find the solution set.
      |x+5| ≥ 1
    Video-6:46
  3. ?    Find the solution set.
      |5y-4| ≤ 9
    Video-6:05
  4. ?    Find the solution set.
      |7-3y|-5 ≥-1
    Video-8:14
  5. ?    Find the solution set.
      2|3-z|+5 ≥13
    Video-7:25
  6. ?    Find the solution set.
      20 ≥ 5|x-7|-8
    Video-7:57
  7. ?    Find the solution set.
      |3-4z| ≥0
    Video-6:35
Quiz | Answer | Replay


Adding and Subtracting Polynomials

  1. ?    What is the degree of the polynomial?
    How many terms are in the polynomial?
    Video-5:01
  2. ?    Write the polynomial in standard form.
    Using the distributive property
    Video-7:23
  3. ?    Simplify
    2+3x+y-4x
    9x-5y+2z+10y-3x
    4x2+3x-2x2-y2+1
    (1/4)x2y-(1/2)yx2+x
    Video-7:10
  4. ?    Simplify
    (2x2+x-1)-(3x2+1)
    (7-2x2+3x3)-(4x2+1)
    (x2-6xy-y-12y2)-(5y2+x-x2)
    Video-8:40
  5. ?    Simplify
    2(4x-3)-4(x2-1)
    -7(2-3x2+x2)-8(2x2-4x+1)
    Video-6:36
Quiz | Answer | Replay


Multiplication of Polynomials

  1. ?    Simplify
    x5⋅x3
    y ⋅ y8
    a ⋅ b ⋅ a 2⋅ b4
    xa ⋅x b
    (x a)b
    (y2)5
    Video-5:19
  2. ?    Expand
    (2xy)2
    (-2x2 ⋅ y4)3
    (-7y3 ⋅ x⋅z2)2
    Video-7:04
  3. ?    Expand
    (2x2)3 ⋅ (4xy2)3
    8x2 ⋅ (3x-1)
    Video-4:21
  4. ?    Expand
    -7x3⋅ (x2+x-1)
    (2x+1)(x-1)
    (x-1)(x+1)
    Video-7:04
  5. ?    Expand
    (5x-7)(x+8)
    (8x+2y)(3x-y)
    Video-5:02
  6. ?    Expand
    (x2+y2)(x2-y2)
    (x+8)2
    (x+1)(2x2+x-1)
    Video-7:20
  7. ?    Expand
    (x+1)3
    -(3x2+1)(-x2+x-1)
    x2a+1⋅xa+5
    (x2a+1)a+5
    Video-13:01
Quiz | Answer | Replay


Factoring Polynomials

  1. ?    Factor
    3x2+9x
    Video-8:01
  2. ?    Factor
    8x3-8x2+16x
    Video-9:44
  3. ?    Factor
    2(x+1)+4x(x+1)
    3x2(2x+1)+x(2x+1)
    4x(x-2z)-6z(x-2z)
    Video-7:24
  4. ?    Factor
    3x2+xy+9x+3y
    5x3-20x2+2x-8
    Video-7:20
  5. ?    Factor
    6x6-3x5-12x4+6x3
    Video-8:00
Quiz | Answer | Replay


Factoring Binomials

  1. ?    Factor
    x2-9
    x2-64
    x2-121
    2x2-50
    Video-6:04
  2. ?    Factor
    (x-3)2-49
    y3-8
    Video-7:31
  3. ?    Factor
    x3+1
    4x2-1
    Video-7:06
  4. ?    Factor
    6x3+48
    x6+y6
    t3(t-6)-8(t-6)
    Video-7:09
  5. ?    Factor
    4x3+12x2-x-3
    Video-4:36
Quiz | Answer | Replay


Factoring Trinomials

  1. ?    Factor
    x2-9x+14
    z2+19z+88
    x2+5x-1
    Video-7:01
  2. ?    Factor
    x2+16x+48
    x2+2x+1
    -4x2+12x+112
    Video-7:27
  3. ?    Factor
    x2-14x+45
    3x2+24x+21
    -8x2+16x-40
    Video-6:46
  4. ?    Factor
    -4x3+44x2-120x
    x2+3xy-18y2
    Video-6:09
  5. ?    Factor
    2x2+15x+5
    16x2-26x-12
    Video-7:55
  6. ?    Factor
    3(x+2)2-8(x+2)+5
    Video-5:44
  7. ?    Factor
    3x2+11x+10
    5x2+18x+9
    16x2-22x+7
    Video-11:30
Quiz | Answer | Replay


Solving Quadratic Equations

  1. ?    Solve for t
    0=-16t2+100
    Video-8:40
  2. ?    Solve for x
    x2+6x+8=0
    12=x2+x
    Video-8:40
  3. ?    Solve for x
    12x=-2x2+32
    x2+2x=0
    Video-6:46
  4. ?    Solve for x
    x2-25=0
    4x2-9=0
    Video-4:44
  5. ?    Solve for x
    8x2+19x+6=0
    Video-5:30
  6. ?    Solve for x
    x2-13x+19=-21
    Video-4:19
  7. ?    Solve for x
    2x+5=40+25x-6x2
    Video-7:37
  8. ?    Solve for x
    40-9x=20x-3x2
    Video-6:42
Quiz | Answer | Replay


Applications II

  1. ?    Find two consecutive positive integers such that its product is 72.
    Video-6:22
  2. ?    Find two consecutive integers such that the sum of the squares is equal to 25
    Video-10:01
  3. ?    The area of a rectangle is 42 square feet. The length is two feet more than four times the width. What are its dimensions?
    Video-10:29
  4. ?    A ball is shot at ground level vertically upward with a speed of 100 ft/sec. The model that gives the ball's height above ground level is h=-16t2 +100t. How high is the ball after two seconds? How long does it take for the ball to hit the ground?
    Video-11:06
  5. ?    Four equal squares are to be cut from a square piece of cardboard that has a length of 1 meter. The new area should measure 1/2 meter squared. What is the length of each square?
    Video-8:40
Quiz | Answer | Replay


Rational Expressions

  1. ?    Simplify
    33 ⋅ 34
    (22)3
    (-2)-2
    (2/3)-2
    Video-8:51
  2. ?    Simplify
    (2x8y2)/(4xy3)
    (15xy)/(2x2y3)
    (x/2)3
    Video-9:14
  3. ?    Simplify
    (7x9y3)/(x7y-2)
    (3x2y2z3)/(15xyz)
    ((4xy-2)/(10xy2))2
    Video-9:07
  4. ?    Simplify
    (3xy)-1/(2xy)2
    (6x2 / y4)3 ⋅ (y3 / z 2)-1
    (4xyz)0 / x2
    Video-9:01
Quiz | Answer | Replay


Reducing Rational Expressions

  1. ?    Reduce the expression
    (4x+2y)/(2x)
    (3x3+x2y)/(x2y2-2xy3)
    Video-8:45
  2. ?    
    Video-7:12
  3. ?    
    Video-7:42
  4. ?    
    Video-9:12
  5. ?    
    Video-7:15
Quiz | Answer | Replay


x, ÷ Rational Expressions

  1. ?    
    Video-6:43
  2. ?    
    Video-6:03
  3. ?    
    Video-6:36
  4. ?    
    Video-9:25
  5. ?    
    Video-6:50
  6. ?    
    Video-10:37

+,- Rational Expressions

  1. ?    
    Video-7:46
  2. ?    
    Video-5:15
  3. ?    
    Video-3:13
  4. ?    
    Video-4:53
  5. ?    
    Video-2:48
  6. ?    
    Video-9:56

Complex Fractions

  1. ?    
    Video-7:31
  2. ?    
    Video-7:21
  3. ?    
    Video-7:17
  4. ?    
    Video-6:20
  5. ?    
    Video-9:28

Division of Polynomials

  1. ?    
    Video-7:24
  2. ?    
    Video-7:24
  3. ?    
    Video-4:40
  4. ?    
    Video-4:14
  5. ?    
    Video-5:39
  6. ?    
    Video-5:28
  7. ?    
    Video-12:21

Synthetic Division

  1. ?    
    Video-6:51
  2. ?    
    Video-11:32

Solving Rational Equations

  1. ?    
    Video-5:55
  2. ?    
    Video-11:20
  3. ?    
    Video-5:44
  4. ?    
    Video-6:38
  5. ?    
    Video-7:10
  6. ?    
    Video-5:46
  7. ?    
    Video-13:09

Applications III

  1. ?    
    Video-6:05
  2. ?    
    Video-9:10
  3. ?    
    Video-4:56
  4. ?    
    Video-10:58
  5. ?    
    Video-6:39
  6. ?    
    Video-9:19
  7. ?    
    Video-10:03
  8. ?    
    Video-15:25

Rational Exponents

  1. ?    
    Video-9:55
  2. ?    
    Video-9:22

Radicals

  1. ?    
    Video-8:45
  2. ?    
    Video-6:17

Simplifying Radical Expressions

  1. ?    
    Video-6:42
  2. ?    
    Video-9:45
  3. ?    
    Video-7:10

+, -, x Radical Expressions

  1. ?    
    Video-7:23
  2. ?    
    Video-4:48
  3. ?    
    Video-6:18
  4. ?    
    Video-11:17
  5. ?    
    Video-5:31
  6. ?    
    Video-8:53

Solving Radical Equations

  1. ?    
    Video-8:04
  2. ?    
    Video-7:50
  3. ?    
    Video-4:42
  4. ?    
    Video-10:20

Test Questions


Answers