1.5 Equations

📖 Chapter 1 Fundamentals
🎥 114 videos
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Grade Level
11

PreCalc5th1.5

114 videos

1

001. Q1

Question
Answer
📚 Related Lectures
9 Math, Algebra, Linear Equations, given Equation with x, variable, on both sides, solve
🎓 002. Variable on both sides
🎓 001. Simple variable on both sides equation visually and algebraically
2

002. Q2

Question
📚 Related Lectures
9.1.7 MATH, LINEAR EQUATIONS, given.Nested.Brackets, solve
🎓 001. Nested brackets linear equation
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3

003. Q3

Question
📚 Related Lectures
12.2.1 ADVFUN RATIONAL EQUATIONS, given.sum.of.linear/linear=a, solve
🎓 001. Rational Equation sum of linear over
4

004. Q4

Question
📚 Related Lectures
11.2.3 FUNCTIONS, RADICAL EQUATIONS, given Cubic Root or Higher, solve
🎓 001. Cubic Root Equation
5

005. Q5

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Answer
6

006. Q6

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Answer
7

007. Q7

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Answer
📚 Related Lectures
8 Math, Algebra, Two Step Algebra, given x/a+b=c, solve
🎓 002. Solving Two Step a-x over b=c
🎓 001. How to solve Two Step of x over a+b=c
8

008. Q8

Question
Answer
📚 Related Lectures
8 Math, Algebra, Two Step Algebra, given x/a+b=c, solve
🎓 002. Solving Two Step a-x over b=c
🎓 001. How to solve Two Step of x over a+b=c
9

009. Q9

Question
Answer
📚 Related Lectures
9 Math, Algebra, Linear Equations, given Equation with x, variable, on both sides, solve
🎓 002. Variable on both sides
🎓 001. Simple variable on both sides equation visually and algebraically
10

010. Q10

Question
Answer
📚 Related Lectures
9 Math, Algebra, Linear Equations, given Equation with x, variable, on both sides, solve
🎓 002. Variable on both sides
🎓 001. Simple variable on both sides equation visually and algebraically
11

011. Q11

Question
Answer
📚 Related Lectures
9 Math, Algebra, Linear Equations, given Equation with x, variable, on both sides, solve
🎓 002. Variable on both sides
🎓 001. Simple variable on both sides equation visually and algebraically
12

012. Q12

Question
Answer
📚 Related Lectures
9 Math, Algebra, Linear Equations, given Equation, solve by Eliminating Fraction
🎓 001. Fraction Linear Equation, Var occurs twice
13

013. Q13

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Answer
14

014. Q14

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Answer
📚 Related Lectures
9 Math, Algebra, Linear Equations, given Equation, solve by Eliminating Fraction
🎓 001. Fraction Linear Equation, Var occurs twice
15

015. Q15

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Answer
📚 Related Lectures
9 Math, Linear Equations, simplify the equation to ax+b=c by collecting like terms, solve for x
🎓 001. One Step collection to Two Step algebra equation
16

016. Q16

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Answer
📚 Related Lectures
9 Math, Algebra, Linear Equations, given Equation, solve by Eliminating Fraction
🎓 001. Fraction Linear Equation, Var occurs twice
17

017. Q17

Question
📚 Related Lectures
12.2.1 ADVFUN RATIONAL EQUATIONS, given.sum.of.linear/linear=a, solve
🎓 001. Rational Equation sum of linear over
18

018. Q18

Question
📚 Related Lectures
12.2.1 ADVFUN RATIONAL EQUATIONS, given.linear/linear=a, solve
🎓 001. Rational Equation linear/linear
19

019. Q19

Question
📚 Related Lectures
12.2.1 ADVFUN RATIONAL EQUATIONS, given.sum.of.linear/linear=a, solve
🎓 001. Rational Equation sum of linear over
20

020. Q20

Question
📚 Related Lectures
12.2.1 ADVFUN RATIONAL EQUATIONS, given.sum.of.linear/linear=a, solve
🎓 001. Rational Equation sum of linear over
21

021. Q21

Question
📚 Related Lectures
10 Math, Quadratic Equations, expand and simplify brackets then solve by QUADRATIC FORMULA
🎓 002. Brackets on both sides
🎓 001. Rearrange to use Quad Formula
22

022. Q22

Question
📚 Related Lectures
11.2.3 FUNCTIONS, Radical Square Root Equation, given.SQRT(linear)=linear, solve
🎓 001. Radical equation
23

023. Q23

Question
📚 Related Lectures
9.1.7 MATH, FORMULA, given Line, isolate indicated variable
🎓 001. Given Line Formula, isolate the indicated variable
24

024. Q24

Question
📚 Related Lectures
9.1.7 MATH, FORMULA, given Variable with Squares, isolate
🎓 002. Isolating variable that's squared
🎓 001. Isolating variable with three terms and a square term
25

025. Q25

Question
📚 Related Lectures
9.1.7 MATH, FORMULA, Factor to Isolate the indicated variable
🎓 002. Isolate x by factoring for a formula
🎓 001. Formula Factor to Isolate ex1
26

026. Q26

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📚 Related Lectures
9.1.7 MATH, FORMULA, given a+b=c, isolate
🎓 001. Given a+b=c, isolate
27

027. Q27

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📚 Related Lectures
9.1.7 MATH, FORMULA, Factor to Isolate the indicated variable
🎓 002. Isolate x by factoring for a formula
🎓 001. Formula Factor to Isolate ex1
28

028. Q28

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📚 Related Lectures
9.1.7 MATH, FORMULA, isolate variable in brackets
🎓 001. Isolating var in brackets, formula
29

029. Q29

Question
📚 Related Lectures
9.1.7 MATH, FORMULA, given Variable with Squares, isolate
🎓 002. Isolating variable that's squared
🎓 001. Isolating variable with three terms and a square term
30

030. Q30

Question
📚 Related Lectures
9.1.7 MATH, FORMULA, Factor to Isolate the indicated variable
🎓 002. Isolate x by factoring for a formula
🎓 001. Formula Factor to Isolate ex1
31

031. Q31

Question
📚 Related Lectures
9.1.7 MATH, FORMULA, given Variable with Squares, isolate
🎓 002. Isolating variable that's squared
🎓 001. Isolating variable with three terms and a square term
32

032. Q32

Question
📚 Related Lectures
9.1.7 MATH, FORMULA, given Variable with Squares, isolate
🎓 002. Isolating variable that's squared
🎓 001. Isolating variable with three terms and a square term
33

033. Q33

Question
📚 Related Lectures
9.1.7 MATH, FORMULA, given Variable with Squares, isolate
🎓 002. Isolating variable that's squared
🎓 001. Isolating variable with three terms and a square term
34

034. Q34

Question
📚 Related Lectures
9.1.7 MATH, FORMULA, isolate variable in brackets
🎓 001. Isolating var in brackets, formula
35

035. Q35

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36

036. Q36

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📚 Related Lectures
9.1.7 MATH, FORMULA, isolate variable in brackets
🎓 001. Isolating var in brackets, formula
37

037. Q37

Question
Answer
📚 Related Lectures
10.3.2.1 Math, Quadratic Equation, given x^2+bx+c=0 Standard Form leading coefficient 1, solve by factoring
🎓 001. Solve by Factoring with leading Coefficient 1
38

038. Q38

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Answer
📚 Related Lectures
10.3.2.1 Math, Quadratic Equation, given x^2+bx+c=0 Standard Form leading coefficient 1, solve by factoring
🎓 001. Solve by Factoring with leading Coefficient 1
39

039. Q39

Question
Answer
📚 Related Lectures
10.3.2.1 Math, Quadratic Equation, given x^2+bx+c=0 Standard Form leading coefficient 1, solve by factoring
🎓 001. Solve by Factoring with leading Coefficient 1
40

040. Q40

Question
Answer
📚 Related Lectures
10.3.2.1 Math, Quadratic Equation, given x^2+bx+c=0 Standard Form leading coefficient 1, solve by factoring
🎓 001. Solve by Factoring with leading Coefficient 1
41

041. Q41

Question
Answer
📚 Related Lectures
10.3.2.2 Math, Quadratic Equation, given ax^2+bx+c=0 Standard Form, solve by factoring
🎓 001. Introduction to Solving Trinomials by Factoring
42

042. Q42

Question
Answer
📚 Related Lectures
10.3.2.2 Math, Quadratic Equation, given ax^2+bx+c=0 Standard Form, solve by factoring
🎓 001. Introduction to Solving Trinomials by Factoring
43

043. Q43

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Answer
📚 Related Lectures
10.3.2.2 Math, Quadratic Equation, rearrange and simplify to Standard Form , solve by factoring
🎓 002. Solving ax^2+b=c, No real solution
🎓 001. Rearrange and Factor to Solve the Quadratic Equation
44

044. Q44

Question
Answer
📚 Related Lectures
10.3.3 Math, Quadratic Equations, Expand.rearrange.x(x+a)=b form, solve
🎓 001. Distribute and simplify to Standard form to solve Quadratic equation
45

045. Q45

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Answer
📚 Related Lectures
10.3.3 MATH, Quadratic Equations, given in Standard Form with Leading Coefficient 1, solve equation by Completing the square
🎓 001. Completing the Square ex1
46

046. Q46

Question
Answer
📚 Related Lectures
10.3.3 MATH, Quadratic Equations, given in Standard Form with Leading Coefficient 1, solve equation by Completing the square
🎓 001. Completing the Square ex1
47

047. Q47

Question
Answer
📚 Related Lectures
10.3.3 MATH, Quadratic Equations, given in Standard Form with Leading Coefficient 1, solve equation by Completing the square
🎓 001. Completing the Square ex1
48

048. Q48

Question
Answer
📚 Related Lectures
10.3.3 MATH, Quadratic Equations, given in Standard Form, solve equation by Completing the square
🎓 005. Solve by Completing the Square with Radical Coefficient
🎓 004. No Solution, not a completing the square case
🎓 003. Solving by Completing the Square with Fraction Coefficient
🎓 002. Solving by Completing the Square, Decimal Coeff, comparing with factoring
🎓 001. Solving by Completing the Square ex1
49

049. Q49

Question
Answer
📚 Related Lectures
10.3.3 MATH, Quadratic Equations, given in Standard Form, solve equation by Completing the square
🎓 005. Solve by Completing the Square with Radical Coefficient
🎓 004. No Solution, not a completing the square case
🎓 003. Solving by Completing the Square with Fraction Coefficient
🎓 002. Solving by Completing the Square, Decimal Coeff, comparing with factoring
🎓 001. Solving by Completing the Square ex1
50

050. Q50

Question
Answer
📚 Related Lectures
10.3.3 MATH, Quadratic Equations, given in Standard Form, solve equation by Completing the square
🎓 005. Solve by Completing the Square with Radical Coefficient
🎓 004. No Solution, not a completing the square case
🎓 003. Solving by Completing the Square with Fraction Coefficient
🎓 002. Solving by Completing the Square, Decimal Coeff, comparing with factoring
🎓 001. Solving by Completing the Square ex1
51

051. Q51

Question
Answer
📚 Related Lectures
10.3.3 MATH, Quadratic Equations, given in Standard Form with Leading Coefficient 1, solve equation by Completing the square
🎓 001. Completing the Square ex1
52

052. Q52

Question
Answer
📚 Related Lectures
10.3.3 MATH, Quadratic Equations, given in Standard Form, solve equation by Completing the square
🎓 005. Solve by Completing the Square with Radical Coefficient
🎓 004. No Solution, not a completing the square case
🎓 003. Solving by Completing the Square with Fraction Coefficient
🎓 002. Solving by Completing the Square, Decimal Coeff, comparing with factoring
🎓 001. Solving by Completing the Square ex1
53

053. Q53

Question
Answer
📚 Related Lectures
10.3.3 MATH, Quadratic Equations, given in Standard Form with Leading Coefficient 1, solve equation by Completing the square
🎓 001. Completing the Square ex1
54

054. Q54

Question
Answer
📚 Related Lectures
10.3.3 MATH, Quadratic Equations, given in Standard Form with Leading Coefficient 1, solve equation by Completing the square
🎓 001. Completing the Square ex1
55

055. Q55

Question
Answer
📚 Related Lectures
10.3.3 MATH, Quadratic Equations, given in Standard Form with Leading Coefficient 1, solve equation by Completing the square
🎓 001. Completing the Square ex1
56

056. Q56

Question
Answer
📚 Related Lectures
10.3.3 MATH, Quadratic Equations, given in Standard Form with Leading Coefficient 1, solve equation by Completing the square
🎓 001. Completing the Square ex1
57

057. Q57

Question
Answer
📚 Related Lectures
10.3.2.2 Math, Quadratic Equation, given ax^2+bx+c=0 Standard Form, solve by factoring
🎓 001. Introduction to Solving Trinomials by Factoring
58

058. Q58

Question
Answer
📚 Related Lectures
10.3.2.2 Math, Quadratic Equation, given ax^2+bx+c=0 Standard Form, solve by factoring
🎓 001. Introduction to Solving Trinomials by Factoring
59

059. Q59

Question
Answer
📚 Related Lectures
10 Math, Quadratic Equations, QUADRATIC FORMULA
🎓 002. Quadratic Formula ex1
🎓 001. Introduction and Proof of Quadratic Formula
60

060. Q60

Question
📚 Related Lectures
10.3.2.1 Math, Quadratic Equation, given x^2+bx+c=0 Standard Form leading coefficient 1, solve by factoring
🎓 001. Solve by Factoring with leading Coefficient 1
61

061. Q61

Question
Answer
📚 Related Lectures
10.3.2.2 Math, Quadratic Equation, given ax^2+bx+c=0 Standard Form, solve by factoring
🎓 001. Introduction to Solving Trinomials by Factoring
62

062. Q62

Question
📚 Related Lectures
10.3.3 Math, Quadratic Equations, simplify to Standard Form, find x.medium lecture
🎓 002. Simplifying to Standard Form of Quadratic Equations to Solve simplifies to Linear
🎓 001. Simplifying to Standard Form of Quadratic Equation to Solve
63

063. Q63

Question
Answer
📚 Related Lectures
10 Math, Quadratic Equations, given.x^2=a, solve
🎓 001. Equations, given x^2=a, solve
64

064. Q64

Question
📚 Related Lectures
10 Math, Quadratic Equations, QUADRATIC FORMULA
🎓 002. Quadratic Formula ex1
🎓 001. Introduction and Proof of Quadratic Formula
65

065. Q65

Question
66

066. Q66

Question
📚 Related Lectures
10 Math, Quadratic Equations, QUADRATIC FORMULA
🎓 002. Quadratic Formula ex1
🎓 001. Introduction and Proof of Quadratic Formula
67

067. Q67

Question
Answer
📚 Related Lectures
10 Math, Quadratic Equations, QUADRATIC FORMULA
🎓 002. Quadratic Formula ex1
🎓 001. Introduction and Proof of Quadratic Formula
68

068. Q68

Question
📚 Related Lectures
10 Math, Quadratic Equations, QUADRATIC FORMULA
🎓 002. Quadratic Formula ex1
🎓 001. Introduction and Proof of Quadratic Formula
69

069. Q69

Question
Answer
📚 Related Lectures
10 Math, Quadratic Equations, given equation, use Discriminant to determine number of solutions
🎓 001. Case where D is negative
70

070. Q70

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Answer
📚 Related Lectures
10 Math, Quadratic Equations, given equation, use Discriminant to determine number of solutions
🎓 001. Case where D is negative
71

071. Q71

Question
Answer
📚 Related Lectures
10 Math, Quadratic Equations, given equation, use Discriminant to determine number of solutions
🎓 001. Case where D is negative
72

072. Q72

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Answer
📚 Related Lectures
10 Math, Quadratic Equations, given equation, use Discriminant to determine number of solutions
🎓 001. Case where D is negative
73

073. Q73

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Answer
📚 Related Lectures
10 Math, Quadratic Equations, given equation, use Discriminant to determine number of solutions
🎓 001. Case where D is negative
74

074. Q74

Question
📚 Related Lectures
10 Math, Quadratic Equations, given equation, use Discriminant to determine number of solutions
🎓 001. Case where D is negative
75

075. Q75

Question
📚 Related Lectures
12.2.1 ADVFUN RATIONAL EQUATIONS, given.sum.of.linear/linear=a, solve
🎓 001. Rational Equation sum of linear over
76

076. Q76

Question
📚 Related Lectures
12.2.1 ADVFUN RATIONAL EQUATIONS, given.sum.of.linear/linear=a, solve
🎓 001. Rational Equation sum of linear over
77

077. Q77

Question
📚 Related Lectures
12.2.1 ADVFUN RATIONAL EQUATIONS, given.a/b=c/d, cross.mult.to.quad, solve
🎓 001. Rational Equation deg1 = deg1
78

078. Q78

Question
📚 Related Lectures
12.2.1 ADVFUN RATIONAL EQUATIONS, given.sum.of.linear/linear=a, solve
🎓 001. Rational Equation sum of linear over
79

079. Q79

Question
📚 Related Lectures
12.2.1 ADVFUN RATIONAL EQUATIONS, given.sum.of.linear/linear=a, solve
🎓 001. Rational Equation sum of linear over
80

080. Q80

Question
📚 Related Lectures
12.2.1 ADVFUN RATIONAL EQUATIONS, given.sum.of.linear/linear=a, solve
🎓 001. Rational Equation sum of linear over
81

081. Q81

Question
Answer
📚 Related Lectures
11.2.3 FUNCTIONS, Radical Square Root Equation, given.SQRT(linear)=linear, solve
🎓 001. Radical equation
82

082. Q82

Question
Answer
📚 Related Lectures
11.2.3 FUNCTIONS, Radical Square Root Equation, given.SQRT(linear)=linear, solve
🎓 001. Radical equation
83

083. Q83

Question
Answer
📚 Related Lectures
11.2.3 FUNCTIONS, Radical Square Root Equation, given.SQRT(linear)=linear, solve
🎓 001. Radical equation
84

084. Q84

Question
📚 Related Lectures
11.2.3 FUNCTIONS, Radical Square Root Equation, double nested square root expression with x inside
🎓 001. Radical Equation, double sqrt, solve
85

085. Q85

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📚 Related Lectures
12.1.1.1 ADVFUN, POLYNOMlAL, given Higher than Degree 2, factor by Grouping
🎓 001. Deg3 Poly factoring by grouping
86

086. Q86

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📚 Related Lectures
12.1.1.1 ADVFUN, POLYNOMlAL, given Higher than Degree 2, factor by Grouping
🎓 001. Deg3 Poly factoring by grouping
87

087. Q87

Question
📚 Related Lectures
ADVFUN, Factoring, Polynomial, Hidden.Trinomials.Quad, given ax^4+bx^2+c=0 Deg4+, solve
🎓 001. Hidden Deg4 Quadratic
88

088. Q88

Question
📚 Related Lectures
ADVFUN, Factoring, Polynomial, Hidden.Trinomials.Quad, given ax^4+bx^2+c=0 Deg4+, solve
🎓 001. Hidden Deg4 Quadratic
89

089. Q89

Question
📚 Related Lectures
11.2.3 FUNCTIONS, RADICAL EQUATIONS, given Cubic Root or Higher, solve
🎓 001. Cubic Root Equation
90

090. Q90

Question
📚 Related Lectures
11.2.3 FUNCTIONS, RADICAL EQUATIONS, given Hidden Quadratic Trinomial/Polynomial, solve by Substitution
🎓 001. Hidden Quadratic with Radicals
91

091. Q91

Question
📚 Related Lectures
11.2.3 FUNCTIONS, RADICAL EQUATIONS, given Cubic Root or Higher, solve
🎓 001. Cubic Root Equation
92

092. Q92

Question
📚 Related Lectures
11.2.3 FUNCTIONS, RADICAL EQUATIONS, given Cubic Root or Higher, solve
🎓 001. Cubic Root Equation
93

093. Q93

Question
📚 Related Lectures
11.2.3 FUNCTIONS, RADICAL EQUATIONS, given Cubic Root or Higher, solve
🎓 001. Cubic Root Equation
94

094. Q94

Question
Answer
📚 Related Lectures
11.2.3 FUNCTIONS, RADICAL EQUATIONS, given Hidden Quadratic Trinomial/Polynomial, solve by Substitution
🎓 001. Hidden Quadratic with Radicals
95

095. Q95

Question
96

096. Q96

Question
📚 Related Lectures
11.1.4 FUNCTIONS, given.Linear.Absolute.Value.equation.|linear|=a, solve
🎓 001. Introduction
97

097. Q97

Question
📚 Related Lectures
11.1.4 FUNCTIONS, given.Linear.Absolute.Value.equation.|x+a|=b, solve
🎓 001. 11 1 4 FUNCTIONS, given Linear Absolute Value equation |x+a|=b, solve
98

098. Q98

Question
📚 Related Lectures
11.1.4 FUNCTIONS, given linear absolute value equation, state why No Solution
🎓 001. No solution absolute value equation
99

099. Q99

Question
100

100. Q100

Question
101

101. Q101

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📚 Related Lectures
10 Math, Quadratic Modelling, given.Projectile.Motion.Equation.y=ax^2+bx.form, solve
🎓 001. given Projectile Motion Equation y=ax^2+bx form, solve
102

102. Q102

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103

103. Q103

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104

104. Q104

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105

105. Q105

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106

106. Q106

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107

107. Q107

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📚 Related Lectures
10 Math, Quadratic Modelling, Revenue and Profit, given Equation, solve
🎓 001. Profit when profit equation is given in quad
108

108. Q108

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109

109. Q109

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110

110. Q110

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111

111. Q111

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112

112. Q112

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113. Q113

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114. Q114

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