Download Solving Absolute Value Equations and Inequalities

Absolute Value Equations and Inequalities
Absolute Value Equations
The solution set to the equation
|x|=5
-5 -4 -3 -2 -1 0 1 2 3 4 5
Absolute Value Equations
The solution set to the equation
|x|=5 is {-5,5},
-5 -4 -3 -2 -1 0 1 2 3 4 5
Absolute Value Equations
The solution set to the equation
|x|=5 is {-5,5},
-5 -4 -3 -2 -1 0 1 2 3 4 5
Absolute Value Equations
The solution set to the equation
|x|=5 is {-5,5}, because 5 and -5
are five units from 0 on the number
line.
-5 -4 -3 -2 -1 0 1 2 3 4 5
Absolute Value Equations
The solution set to the equation
|x|=5 is {-5,5}, because 5 and -5
are five units from 0 on the number
line.
-5 -4 -3 -2 -1 0 1 2 3 4 5
Absolute Value Equations
The solution set to the equation
|x|=5 is {-5,5}, because 5 and -5
are five units from 0 on the number
line.
-5 -4 -3 -2 -1 0 1 2 3 4 5
So |x|= 5 is equivalent to
Absolute Value Equations
The solution set to the equation
|x|=5 is {-5,5}, because 5 and -5
are five units from 0 on the number
line.
-5 -4 -3 -2 -1 0 1 2 3 4 5
So |x|= 5 is equivalent to
x = 5 or x = -5
Basic Absolute Value Equations
Absolute Value Equation
Equivalent Equation Solution Set
Basic Absolute Value Equations
Absolute Value Equation
x  k k  0
Equivalent Equation Solution Set
Basic Absolute Value Equations
Absolute Value Equation
Equivalent Equation Solution Set
x  k k  0
x  k or x  -k
Basic Absolute Value Equations
Absolute Value Equation
Equivalent Equation Solution Set
x  k k  0
x  k or x  -k
{ k }
Basic Absolute Value Equations
Absolute Value Equation
x  k k  0
x 0
Equivalent Equation Solution Set
x  k or x  -k
{ k }
Basic Absolute Value Equations
Absolute Value Equation
Equivalent Equation Solution Set
x  k k  0
x 0
x  k or x  -k
x 0
{ k }
Basic Absolute Value Equations
Absolute Value Equation
Equivalent Equation Solution Set
x  k k  0
x 0
x  k or x  -k
x 0
{ k }
{0}
Basic Absolute Value Equations
Absolute Value Equation
x  k k  0
x 0
x  k k  0
Equivalent Equation Solution Set
x  k or x  -k
x 0
{ k }
{0}
Basic Absolute Value Equations
Absolute Value Equation
x  k k  0
x 0
x  k k  0
Equivalent Equation Solution Set
x  k or x  -k
x 0
{ k }
{0}

Solving Absolute Value Equations and Inequalities
Let k be a positive real number, and p and q be real numbers.
1. To solve ax  b  k,
Solving Absolute Value Equations and Inequalities
Let k be a positive real number, and p and q be real numbers.
1. To solve ax  b  k,
solve the compound equation
Solving Absolute Value Equations and Inequalities
Let k be a positive real number, and p and q be real numbers.
1. To solve ax  b  k,
solve the compound equation
ax  b  k
Solving Absolute Value Equations and Inequalities
Let k be a positive real number, and p and q be real numbers.
1. To solve ax  b  k,
solve the compound equation
or
ax  b  k
ax  b  k
Solving Absolute Value Equations and Inequalities
Let k be a positive real number, and p and q be real numbers.
1. To solve ax  b  k,
solve the compound equation
or
ax  b  k
ax  b  k
The solution set is usually of the form {p,q},
Solving Absolute Value Equations and Inequalities
Let k be a positive real number, and p and q be real numbers.
1. To solve ax  b  k,
solve the compound equation
or
ax  b  k
ax  b  k
The solution set is usually of the form {p,q},
which includes two numbers.
Solving Absolute Value Equations and Inequalities
Let k be a positive real number, and p and q be real numbers.
1. To solve ax  b  k,
solve the compound equation
or
ax  b  k
ax  b  k
The solution set is usually of the form {p,q},
which includes two numbers.
Solving Absolute Value Equations and Inequalities
Let k be a positive real number, and p and q be real numbers.
1. To solve ax  b  k,
solve the compound equation
or
ax  b  k
ax  b  k
The solution set is usually of the form {p,q},
which includes two numbers.
p
Solving Absolute Value Equations and Inequalities
Let k be a positive real number, and p and q be real numbers.
1. To solve ax  b  k,
solve the compound equation
or
ax  b  k
ax  b  k
The solution set is usually of the form {p,q},
which includes two numbers.
p
q
Solving Absolute Value Equations and Inequalities
Let k be a positive real number, and p and q be real numbers.
1. To solve ax  b  k,
solve the compound equation
or
ax  b  k
ax  b  k
The solution set is usually of the form {p,q},
which includes two numbers.
p
q
Solving Absolute Value Equations and Inequalities
Let k be a positive real number, and p and q be real numbers.
2. To solve ax  b  k,
Solving Absolute Value Equations and Inequalities
Let k be a positive real number, and p and q be real numbers.
2. To solve ax  b  k,
solve the compound inequality
Solving Absolute Value Equations and Inequalities
Let k be a positive real number, and p and q be real numbers.
2. To solve ax  b  k,
solve the compound inequality
ax  b  k
Solving Absolute Value Equations and Inequalities
Let k be a positive real number, and p and q be real numbers.
2. To solve ax  b  k,
solve the compound inequality
or
ax  b  k
ax  b  k
Solving Absolute Value Equations and Inequalities
Let k be a positive real number, and p and q be real numbers.
2. To solve ax  b  k,
solve the compound inequality
or
ax  b  k
ax  b  k
The solution set is of the form
Solving Absolute Value Equations and Inequalities
Let k be a positive real number, and p and q be real numbers.
2. To solve ax  b  k,
solve the compound inequality
or
ax  b  k
ax  b  k
The solution set is of the form.  , p 
Solving Absolute Value Equations and Inequalities
Let k be a positive real number, and p and q be real numbers.
2. To solve ax  b  k,
solve the compound inequality
or
ax  b  k
ax  b  k
The solution set is of the form  , p   q, 
Solving Absolute Value Equations and Inequalities
Let k be a positive real number, and p and q be real numbers.
2. To solve ax  b  k,
solve the compound inequality
or
ax  b  k
ax  b  k
The solution set is of the form  , p   q, 
which consists of two separate intervals.
Solving Absolute Value Equations and Inequalities
Let k be a positive real number, and p and q be real numbers.
2. To solve ax  b  k,
solve the compound inequality
or
ax  b  k
ax  b  k
The solution set is of the form  , p   q, 
which consists of two separate intervals.
Solving Absolute Value Equations and Inequalities
Let k be a positive real number, and p and q be real numbers.
2. To solve ax  b  k,
solve the compound inequality
or
ax  b  k
ax  b  k
The solution set is of the form  , p   q, 
which consists of two separate intervals.
)
p
Solving Absolute Value Equations and Inequalities
Let k be a positive real number, and p and q be real numbers.
2. To solve ax  b  k,
solve the compound inequality
or
ax  b  k
ax  b  k
The solution set is of the form  , p   q, 
which consists of two separate intervals.
)
p
(q
Solving Absolute Value Equations and Inequalities
Let k be a positive real number, and p and q be real numbers.
2. To solve ax  b  k,
solve the compound inequality
or
ax  b  k
ax  b  k
The solution set is of the form  , p   q, 
which consists of two separate intervals.
)
p
(q
Solving Absolute Value Equations and Inequalities
Let k be a positive real number, and p and q be real numbers.
2. To solve ax  b  k,
Solving Absolute Value Equations and Inequalities
Let k be a positive real number, and p and q be real numbers.
2. To solve ax  b  k,
solve the compound inequality
Solving Absolute Value Equations and Inequalities
Let k be a positive real number, and p and q be real numbers.
2. To solve ax  b  k,
solve the compound inequality
- k  ax  b  k
Solving Absolute Value Equations and Inequalities
Let k be a positive real number, and p and q be real numbers.
2. To solve ax  b  k,
solve the compound inequality
- k  ax  b  k
The solution set is of the form  p, q ,
Solving Absolute Value Equations and Inequalities
Let k be a positive real number, and p and q be real numbers.
2. To solve ax  b  k,
solve the compound inequality
- k  ax  b  k
The solution set is of the form  p, q ,a single interval.
Solving Absolute Value Equations and Inequalities
Let k be a positive real number, and p and q be real numbers.
2. To solve ax  b  k,
solve the compound inequality
- k  ax  b  k
The solution set is of the form  p, q ,a single interval.
(
p
Solving Absolute Value Equations and Inequalities
Let k be a positive real number, and p and q be real numbers.
2. To solve ax  b  k,
solve the compound inequality
- k  ax  b  k
The solution set is of the form  p, q ,a single interval.
(
p
)q
Solving Absolute Value Equations and Inequalities
Let k be a positive real number, and p and q be real numbers.
2. To solve ax  b  k,
solve the compound inequality
- k  ax  b  k
The solution set is of the form  p, q ,a single interval.
(
p
)q
Solving Absolute Value Equations and Inequalities
Let k be a positive real number, and p and q be real numbers.
2. To solve ax  b  k,
solve the compound inequality
- k  ax  b  k
The solution set is of the form  p, q ,a single interval.
(
p
)q
Solve the equation.
2x  1  7
Solve the equation.
2x  1  7
2x 1  7
Solve the equation.
2x  1  7
2x 1  7
or
2x  1   7
Solve the equation.
2x  1  7
2x 1  7
1 1
2x
or
2x  1   7
Solve the equation.
2x  1  7
2x 1  7
1 1
6
2x
or
2x  1   7
Solve the equation.
2x  1  7
2x 1  7
1 1
6
2x
2x
2

or
2x  1   7
Solve the equation.
2x  1  7
2x 1  7
1 1
6
2x
2x
2

6
2
or
2x  1   7
Solve the equation.
2x  1  7
2x 1  7
1 1
6
2x
2x
2
x

6
2
or
2x  1   7
Solve the equation.
2x  1  7
2x 1  7
1 1
6
2x
2x
2
x

3
6
2
or
2x  1   7
Solve the equation.
2x  1  7
2x 1  7
1 1
6
2x
2x
2
x

3
6
2
or
2x  1   7
1
1
Solve the equation.
2x  1  7
2x 1  7
1 1
6
2x
2x
2
x

3
6
2
or
or
2x  1   7
1
1
Solve the equation.
2x  1  7
2x 1  7
1 1
6
2x
2x
2
x

3
6
2
or
or
2x  1   7
1
2x
1
Solve the equation.
2x  1  7
2x 1  7
1 1
6
2x
2x
2
x

3
6
2
or
or
2x  1   7
1
2x
1
 8
Solve the equation.
2x  1  7
2x 1  7
1 1
6
2x
2x
2
x

3
6
2
or
or
or
2x  1   7
1
2x
1
 8
Solve the equation.
2x  1  7
2x 1  7
1 1
6
2x
2x
2
x

3
6
2
or
or
or
2x  1   7
1
2x
2x
2
1
 8
  82
Solve the equation.
2x  1  7
2x 1  7
or

3
or
or
or
1 1
6
2x
2x
2
x
6
2
2x  1   7
1
2x
2x
2
1
 8
  82
Solve the equation.
2x  1  7
2x 1  7
or

3
or
or
or
1 1
6
2x
2x
2
x
6
2
2x  1   7
1
2x
2x
2
x
1
 8
  82
Solve the equation.
2x  1  7
2x 1  7
or

3
or
or
or
1 1
6
2x
2x
2
x
6
2
2x  1   7
1
2x
2x
2
x
1
 8
  82
 4
Solve the equation.
2x  1  7
Solve the equation.
2x  1  7
2x 1  7
or
2x  1   7
Solve the equation.
2x  1  7
2x 1  7
1 1
or
2x  1   7
Solve the equation.
2x  1  7
2x 1  7
1 1
2x
or
2x  1   7
Solve the equation.
2x  1  7
2x 1  7
1 1

2x
or
2x  1   7
Solve the equation.
2x  1  7
2x 1  7
1 1
 6
2x
or
2x  1   7
Solve the equation.
2x  1  7
2x 1  7
1 1
 6
2x
6
2x

2
2
or
2x  1   7
Solve the equation.
2x  1  7
2x 1  7
1 1
 6
2x
6
2x

2
2
x
or
2x  1   7
Solve the equation.
2x  1  7
2x 1  7
1 1
 6
2x
6
2x

2
2
x

or
2x  1   7
Solve the equation.
2x  1  7
2x 1  7
1 1
 6
2x
6
2x

2
2
x
 3
or
2x  1   7
Solve the equation.
2x  1  7
2x 1  7
1 1
 6
2x
6
2x

2
2
x
 3
or
2x  1   7
1
1
Solve the equation.
2x  1  7
2x 1  7
1 1
 6
2x
6
2x

2
2
x
 3
or
or
2x  1   7
1
1
Solve the equation.
2x  1  7
2x 1  7
1 1
 6
2x
6
2x

2
2
x
 3
or
or
2x  1   7
1
2x
1
Solve the equation.
2x  1  7
2x 1  7
1 1
 6
2x
6
2x

2
2
x
 3
or
or
2x  1   7
1
2x

1
Solve the equation.
2x  1  7
2x 1  7
1 1
 6
2x
6
2x

2
2
x
 3
or
or
2x  1   7
1
2x
1
 8
Solve the equation.
2x  1  7
2x 1  7
1 1
 6
2x
6
2x

2
2
x
 3
or
or
or
2x  1   7
1
2x
1
 8
Solve the equation.
2x  1  7
2x 1  7
1 1
 6
2x
6
2x

2
2
x
 3
or
or
or
2x  1   7
1
2x
2x
2
1
 8
Solve the equation.
2x  1  7
2x 1  7
1 1
 6
2x
6
2x

2
2
x
 3
or
or
or
2x  1   7
1
2x
2x
2
1
 8

Solve the equation.
2x  1  7
2x 1  7
1 1
 6
2x
6
2x

2
2
x
 3
or
or
or
2x  1   7
1
2x
2x
2
1
 8
  82
Solve the equation.
2x  1  7
2x 1  7
1 1
 6
2x
6
2x

2
2
x
 3
or
or
or
or
2x  1   7
1
2x
2x
2
1
 8
  82
Solve the equation.
2x  1  7
2x 1  7
1 1
 6
2x
6
2x

2
2
x
 3
or
or
or
or
2x  1   7
1
2x
2x
2
x
1
 8
  82
Solve the equation.
2x  1  7
2x 1  7
1 1
 6
2x
6
2x

2
2
x
 3
or
or
or
or
2x  1   7
1
2x
2x
2
x
1
 8
  82

Solve the equation.
2x  1  7
2x 1  7
1 1
 6
2x
6
2x

2
2
x
 3
or
or
or
or
2x  1   7
1
2x
2x
2
x
1
 8
  82
 4
Solve the equation.
2x  1  7
Solve the equation.
2x  1  7
 7  2x  1  7
Solve the equation.
 7  2x  1  7
2x  1  7
2x 1  7
and
2x  1   7
Solve the equation.
 7  2x  1  7
2x  1  7
2x 1  7
1 1
and
2x  1   7
Solve the equation.
 7  2x  1  7
2x  1  7
2x 1  7
1 1
2x
and
2x  1   7
Solve the equation.
 7  2x  1  7
2x  1  7
2x 1  7
1 1

2x
and
2x  1   7
Solve the equation.
 7  2x  1  7
2x  1  7
2x 1  7
1 1
 6
2x
and
2x  1   7
Solve the equation.
 7  2x  1  7
2x  1  7
2x 1  7
1 1
 6
2x
6
2x

2
2
and
2x  1   7
Solve the equation.
 7  2x  1  7
2x  1  7
2x 1  7
1 1
 6
2x
6
2x

2
2
x
and
2x  1   7
Solve the equation.
 7  2x  1  7
2x  1  7
2x 1  7
1 1
 6
2x
6
2x

2
2
x

and
2x  1   7
Solve the equation.
 7  2x  1  7
2x  1  7
2x 1  7
1 1
 6
2x
6
2x

2
2
x
 3
and
2x  1   7
Solve the equation.
 7  2x  1  7
2x  1  7
2x 1  7
1 1
 6
2x
6
2x

2
2
x
 3
and
2x  1   7
1
1
Solve the equation.
 7  2x  1  7
2x  1  7
2x 1  7
1 1
 6
2x
6
2x

2
2
x
 3
and
and
2x  1   7
1
1
Solve the equation.
 7  2x  1  7
2x  1  7
2x 1  7
1 1
 6
2x
6
2x

2
2
x
 3
and
2x  1   7
and
2x
1
1
Solve the equation.
 7  2x  1  7
2x  1  7
2x 1  7
1 1
 6
2x
6
2x

2
2
x
 3
and
2x  1   7
and
2x
1

1
Solve the equation.
 7  2x  1  7
2x  1  7
2x 1  7
1 1
 6
2x
6
2x

2
2
x
 3
and
2x  1   7
and
2x
1
1
 8
Solve the equation.
 7  2x  1  7
2x  1  7
2x 1  7
1 1
 6
2x
6
2x

2
2
x
 3
and
2x  1   7
and
and
2x
1
1
 8
Solve the equation.
 7  2x  1  7
2x  1  7
2x 1  7
1 1
 6
2x
6
2x

2
2
x
 3
and
2x  1   7
and
and
2x
1
2x
2
1
 8
Solve the equation.
 7  2x  1  7
2x  1  7
2x 1  7
1 1
 6
2x
6
2x

2
2
x
 3
and
2x  1   7
and
and
2x
1
2x
2
1
 8

Solve the equation.
 7  2x  1  7
2x  1  7
2x 1  7
1 1
 6
2x
6
2x

2
2
x
 3
and
2x  1   7
and
and
2x
1
2x
2
1
 8
  82
Solve the equation.
 7  2x  1  7
2x  1  7
2x 1  7
1 1
 6
2x
6
2x

2
2
x
 3
and
2x  1   7
and
and
and
2x
1
2x
2
1
 8
  82
Solve the equation.
 7  2x  1  7
2x  1  7
2x 1  7
1 1
 6
2x
6
2x

2
2
x
 3
and
2x  1   7
and
and
and
2x
1
2x
2
x
1
 8
  82
Solve the equation.
 7  2x  1  7
2x  1  7
2x 1  7
1 1
 6
2x
6
2x

2
2
x
 3
and
2x  1   7
and
and
and
2x
1
2x
2
x
1
 8
  82

Solve the equation.
 7  2x  1  7
2x  1  7
2x 1  7
1 1
 6
2x
6
2x

2
2
x
 3
and
2x  1   7
and
and
and
2x
1
2x
2
x
1
 8
  82
 4
Solve the equation.
x  3  5  12
Solve the equation.
x  3  5  12
5 5
Solve the equation.
x  3  5  12
5 5
x 3
Solve the equation.
x  3  5  12
5 5
x 3
 7
Solve the equation.
x  3  5  12
5 5
x 3
x 3  7
 7
or
x 3  7
Solve the equation.
x  3  5  12
5 5
x 3
x 3  7
3 3
 7
or
x 3  7
Solve the equation.
x  3  5  12
5 5
x 3
x 3  7
3 3
x
 7
or
x 3  7
Solve the equation.
x  3  5  12
5 5
x 3
x 3  7
3 3
x 4
 7
or
x 3  7
Solve the equation.
x  3  5  12
5 5
x 3
x 3  7
3 3
x 4
 7
or
x 3  7
3
3
Solve the equation.
x  3  5  12
5 5
x 3
x 3  7
3 3
x 4
 7
or
x 3  7
3
x
3
Solve the equation.
x  3  5  12
5 5
x 3
x 3  7
3 3
x 4
 7
or
x 3  7
3 3
x 
Solve the equation.
x  3  5  12
5 5
x 3
x 3  7
3 3
x 4
 7
or
x 3  7
3 3
x   10
Solve the equation.
ax  b  cx  d
Solve the equation.
ax  b  cx  d
ax  b  (cx  d)
Solve the equation.
ax  b  cx  d
ax  b  (cx  d) or ax  b  (cx  d)
Solve the equation.
ax  b  cx  d
ax  b  (cx  d) or ax  b  (cx  d)
ax  b  cx  d
Solve the equation.
ax  b  cx  d
ax  b  (cx  d) or ax  b  (cx  d)
ax  b  cx  d
or
ax  b  cx  d
Solve the equation.
z  6  2z  3
Solve the equation.
z  6  2z  3
z  6  2z  3
Solve the equation.
z  6  2z  3
z  6  2z  3 or z  6  2z  3
Solve the equation.
z  6  2z  3
z  6  2z  3 or z  6  2z  3
z  6  2z  3
Solve the equation.
z  6  2z  3
z  6  2z  3 or z  6  2z  3
z  6  2z  3
z
z
Solve the equation.
z  6  2z  3
z  6  2z  3 or z  6  2z  3
z  6  2z  3
z
z
6
Solve the equation.
z  6  2z  3
z  6  2z  3 or z  6  2z  3
z  6  2z  3
z
z
6 z
Solve the equation.
z  6  2z  3
z  6  2z  3 or z  6  2z  3
z  6  2z  3
z
z
6  z 3
Solve the equation.
z  6  2z  3
z  6  2z  3 or z  6  2z  3
z  6  2z  3
z
z
6  z 3
3
3
Solve the equation.
z  6  2z  3
z  6  2z  3 or z  6  2z  3
z  6  2z  3
z
z
6  z 3
3
3
9
Solve the equation.
z  6  2z  3
z  6  2z  3 or z  6  2z  3
z  6  2z  3
z
z
6  z 3
3
3
9 z
Solve the equation.
z  6  2z  3
z  6  2z  3 or z  6  2z  3
z  6  2z  3 or z  6  2z  3
z
z
6  z 3
3
3
9 z
Solve the equation.
z  6  2z  3
z  6  2z  3 or z  6  2z  3
z  6  2z  3 or z  6  2z  3
z
 2z
z
 2z
6  z 3
3
3
9 z
Solve the equation.
z  6  2z  3
z  6  2z  3 or z  6  2z  3
z  6  2z  3 or z  6  2z  3
z
 2z
z
 2z
3z
6  z 3
3
3
9 z
Solve the equation.
z  6  2z  3
z  6  2z  3 or z  6  2z  3
z  6  2z  3 or z  6  2z  3
z
 2z
z
 2z
3z  6 
6  z 3
3
3
9 z
Solve the equation.
z  6  2z  3
z  6  2z  3 or z  6  2z  3
z  6  2z  3 or z  6  2z  3
z
 2z
z
 2z
3z  6   3
6  z 3
3
3
9 z
Solve the equation.
z  6  2z  3
z  6  2z  3 or z  6  2z  3
z  6  2z  3 or z  6  2z  3
z
 2z
z
 2z
3z  6   3
6  z 3
6
6
3
3
9 z
Solve the equation.
z  6  2z  3
z  6  2z  3 or z  6  2z  3
z  6  2z  3 or z  6  2z  3
z
 2z
z
 2z
3z  6   3
6  z 3
6
6
3
3
3
z
z
9
Solve the equation.
z  6  2z  3
z  6  2z  3 or z  6  2z  3
z  6  2z  3 or z  6  2z  3
z
 2z
z
 2z
3z  6   3
6  z 3
6
6
3
3

3

3
z
9 z
Solve the equation.
z  6  2z  3
z  6  2z  3 or z  6  2z  3
z  6  2z  3 or z  6  2z  3
z
 2z
z
 2z
3z  6   3
6  z 3
6
6
3
3

3

3
z
9 z
3z

3
Solve the equation.
z  6  2z  3
z  6  2z  3 or z  6  2z  3
z  6  2z  3 or z  6  2z  3
z
 2z
z
 2z
3z  6   3
6  z 3
6
6
3
3

3

3
z
9 z
3
3z


3
3
Solve the equation.
z  6  2z  3
z  6  2z  3 or z  6  2z  3
z  6  2z  3 or z  6  2z  3
z
 2z
z
 2z
3z  6   3
6  z 3
6
6
3
3

3

3
z
9 z
3
3z


3
3
z
Solve the equation.
z  6  2z  3
z  6  2z  3 or z  6  2z  3
z  6  2z  3 or z  6  2z  3
z
 2z
z
 2z
3z  6   3
6  z 3
6
6
3
3

3

3
z
9 z
3
3z


3
3
z 
Solve the equation.
z  6  2z  3
z  6  2z  3 or z  6  2z  3
z  6  2z  3 or z  6  2z  3
z
 2z
z
 2z
3z  6   3
6  z 3
6
6
3
3

3

3
z
9 z
3
3z


3
3
z  1
Solve the equation.
5r  3  4
Solve the equation.
5r  3  4
 4
Solve the equation.
5r  3  4
 4
4
Solve the equation.
5r  3  4
 4
4 4
Solve the equation.
5r  3  4
 4
4 4
-4
Solve the equation.
5r  3  4
 4
4 4
-4  4
Solve the equation.
5r  3  4
 4
4 4
-4  4

Solve the equation.
7x  3  0
Solve the equation.
7x  3  0
7x  3  0
Solve the equation.
7x  3  0
7x  3  0
3 3
Solve the equation.
7x  3  0
7x  3  0
3 3
7x
Solve the equation.
7x  3  0
7x  3  0
3 3
7x  3
Solve the equation.
7x  3  0
7x  3  0
3 3
7x  3
3
7x
 7
7
Solve the equation.
7x  3  0
7x  3  0
3 3
7x  3
3
7x
 7
7
x
Solve the equation.
7x  3  0
7x  3  0
3 3
7x  3
3
7x
 7
7
x
3
7
Solve the equation.
x  4
Solve the equation.
5  4
x  4
Solve the equation.
5  4
5  4
x  4
Solve the equation.
5  4
x  4
5  4 TRUE
Solve the equation.
5  4
0  4
x  4
5  4 TRUE
Solve the equation.
x  4
5  4
5  4 TRUE
0  4
0  4
Solve the equation.
x  4
5  4
5  4 TRUE
0  4
0  4 TRUE
Solve the equation.
x  4
5  4
5  4 TRUE
0  4
0  4 TRUE
 4  4
Solve the equation.
x  4
5  4
5  4 TRUE
0  4
0  4 TRUE
 4  4
4
Solve the equation.
x  4
5  4
5  4 TRUE
0  4
0  4 TRUE
 4  4
4  4
Solve the equation.
x  4
5  4
5  4 TRUE
0  4
0  4 TRUE
 4  4
4  4 TRUE
Solve the equation.
x  4
5  4
5  4 TRUE
0  4
0  4 TRUE
 4  4
4  4 TRUE
 10  4
Solve the equation.
x  4
5  4
5  4 TRUE
0  4
0  4 TRUE
 4  4
4  4 TRUE
 10  4
10
Solve the equation.
x  4
5  4
5  4 TRUE
0  4
0  4 TRUE
 4  4
4  4 TRUE
10  4
 10  4
Solve the equation.
x  4
5  4
5  4 TRUE
0  4
0  4 TRUE
 4  4
4  4 TRUE
10  4 TRUE
 10  4
Solve the equation.
x  4
5  4
5  4 TRUE
0  4
0  4 TRUE
 4  4
4  4 TRUE
10  4 TRUE
 10  4
 , 
Solve the equation.
k  6  3  5
Solve the equation.
k  6  3  5
k  6  3  5
Solve the equation.
k  6  3  5
3 3
k  6  3  5
Solve the equation.
k  6  3  5
3 3
k 6
k  6  3  5
Solve the equation.
k  6  3  5
3 3
k 6 
k  6  3  5
Solve the equation.
k  6  3  5
k  6  3  5
3 3
k 6  2
 , 
Solve the equation.
k  6  3  5
Solve the equation.
k  6  3  5
k  6  3  5
Solve the equation.
k  6  3  5
3 3
k  6  3  5
Solve the equation.
k  6  3  5
3 3
k 6
k  6  3  5
Solve the equation.
k  6  3  5
3 3
k 6 
k  6  3  5
Solve the equation.
k  6  3  5
3 3
k 6  2
k  6  3  5
Solve the equation.
k  6  3  5
3 3
k 6  2

k  6  3  5
Solve the equation.
m7 4  4
Solve the equation.
m7 4  4
4 4
Solve the equation.
m7 4  4
4 4
m7
Solve the equation.
m7 4  4
4 4
m7 
Solve the equation.
m7 4  4
4 4
m7  0
Solve the equation.
m7 4  4
4 4
m7  0
m  7 0
Solve the equation.
m7 4  4
4 4
m7  0
m  7 0
7 7
Solve the equation.
m7 4  4
4 4
m7  0
m  7 0
7 7
m
Solve the equation.
m7 4  4
4 4
m7  0
m  7 0
7 7
m 7
L 1.7 # 1-90
Every other odd problem