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