1.3 Written Excercises

1

Solve over the domain {0, 2, 4, 6, 8}.

Eight times a number is 32. What is the number?

1

Solve over the domain {0, 2, 4, 6, 8}.

Twelve more than a number is 20. What is the number?

1

Solve over the domain {0, 2, 4, 6, 8}.

A number divided by four is 2. What is the number?

1

Solve over the domain {0, 2, 4, 6, 8}.

Three less than a number is 3. What is the number?

1

Solve over the domain {0, 2, 4, 6, 8}.

Three more than twice a number is 7. What is the number?

1

Solve over the domain {0, 2, 4, 6, 8}.

Four times a number is 6 more than the number. What is the number?

1

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.

2a + 9 = 17

1

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.

3b - 4 = 11

1

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.

10 = 8c - 6

1

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.

13 = 6d - 5

1

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.

9 + 9r = 81

1

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.

5 + 5n = 50

1

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.

2x = x + 7

1

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.

3w = w \cdot 3

1

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.

2f = f \cdot f

1

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.

y(8 - y) = 0

1

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.

(6 - v)(1 + v)v = 0

1

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.

27k = (3k)(3k)(3k)

1

Suppose the domain for each equation is {1, 2, 3, 4,...}. (The dots show that the set goes on without end.) Determine the number of solutions for each equation. Write “None,” “One,” or “More than one.” For those equations with one solution, try to determine what the solution is.

x + 3 = 3 + x

1

Suppose the domain for each equation is {1, 2, 3, 4,...}. (The dots show that the set goes on without end.) Determine the number of solutions for each equation. Write “None,” “One,” or “More than one.” For those equations with one solution, try to determine what the solution is.

x + 4 = x + 3

1

Suppose the domain for each equation is {1, 2, 3, 4,...}. (The dots show that the set goes on without end.) Determine the number of solutions for each equation. Write “None,” “One,” or “More than one.” For those equations with one solution, try to determine what the solution is.

x + 4 = 8

1

Suppose the domain for each equation is {1, 2, 3, 4,...}. (The dots show that the set goes on without end.) Determine the number of solutions for each equation. Write “None,” “One,” or “More than one.” For those equations with one solution, try to determine what the solution is.

x - x = 1

1

Suppose the domain for each equation is {1, 2, 3, 4,...}. (The dots show that the set goes on without end.) Determine the number of solutions for each equation. Write “None,” “One,” or “More than one.” For those equations with one solution, try to determine what the solution is.

x + x = 2x

1

Suppose the domain for each equation is {1, 2, 3, 4,...}. (The dots show that the set goes on without end.) Determine the number of solutions for each equation. Write “None,” “One,” or “More than one.” For those equations with one solution, try to determine what the solution is.

x - x = 2x

1

Suppose the domain for each equation is {1, 2, 3, 4,...}. (The dots show that the set goes on without end.) Determine the number of solutions for each equation. Write “None,” “One,” or “More than one.” For those equations with one solution, try to determine what the solution is.

4x = 8

1

Suppose the domain for each equation is {1, 2, 3, 4,...}. (The dots show that the set goes on without end.) Determine the number of solutions for each equation. Write “None,” “One,” or “More than one.” For those equations with one solution, try to determine what the solution is.

4 \cdot x - y = 4

1

Suppose the domain for each equation is {1, 2, 3, 4,...}. (The dots show that the set goes on without end.) Determine the number of solutions for each equation. Write “None,” “One,” or “More than one.” For those equations with one solution, try to determine what the solution is.

4x = 4x + 1

1

Suppose the domain for each equation is {1, 2, 3, 4,...}. (The dots show that the set goes on without end.) Determine the number of solutions for each equation. Write “None,” “One,” or “More than one.” For those equations with one solution, try to determine what the solution is.

3 \cdot x = x \cdot 3

1

Suppose the domain for each equation is {1, 2, 3, 4,...}. (The dots show that the set goes on without end.) Determine the number of solutions for each equation. Write “None,” “One,” or “More than one.” For those equations with one solution, try to determine what the solution is.

x - 3 = x

1

Suppose the domain for each equation is {1, 2, 3, 4,...}. (The dots show that the set goes on without end.) Determine the number of solutions for each equation. Write “None,” “One,” or “More than one.” For those equations with one solution, try to determine what the solution is.

x - 3 = 3 - x

1

Write two different equations for which the solution set over the domain {0, 1, 2, 3, 4} is the given set.

{3}

Equation 1:_______ 
Equation 2:_______ 

1

Write two different equations for which the solution set over the domain {0, 1, 2, 3, 4} is the given set.

{0}

Equation 1:_______ 
Equation 2:_______ 

1

Write two different equations for which the solution set over the domain {0, 1, 2, 3, 4} is the given set.

{0, 1, 2, 3, 4}

Equation 1:_______ 
Equation 2:_______ 

1

Write two different equations for which the solution set over the domain {0, 1, 2, 3, 4} is the given set.

{0, 3}

Equation 1:_______ 
Equation 2:_______ 

x + 5 = 9

6 + x = 11

x - 2 = 3

x - 3 = 1

7 - x = 2

6 - x = 3

2x = 8

5x = 10

8x = 16

2x = 10

3x = 0

0 = 4x

x \div 3 = 1

x \div 2 = 2

\frac{1}{2}x = 2

\frac{1}{3}x = 1

x \cdot x = 1

9x = 9

x - x = 0

x \cdot x = 25

Solve over the domain {0, 2, 4, 6, 8}.Eight times a number is 32. What is the number?

Solve over the domain {0, 2, 4, 6, 8}.Twelve more than a number is 20. What is the number?

Solve over the domain {0, 2, 4, 6, 8}.A number divided by four is 2. What is the number?

Solve over the domain {0, 2, 4, 6, 8}.Three less than a number is 3. What is the number?

Solve over the domain {0, 2, 4, 6, 8}.Three more than twice a number is 7. What is the number?

Solve over the domain {0, 2, 4, 6, 8}.Four times a number is 6 more than the number. What is the number?

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.2a + 9 = 17

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.3b - 4 = 11

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.10 = 8c - 6

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.13 = 6d - 5

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.9 + 9r = 81

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.5 + 5n = 50

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.2x = x + 7

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.3w = w \cdot 3

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.2f = f \cdot f

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.y(8 - y) = 0

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.(6 - v)(1 + v)v = 0

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.27k = (3k)(3k)(3k)

Suppose the domain for each equation is {1, 2, 3, 4,...}. (The dots show that the set goes on without end.) Determine the number of solutions for each equation. Write “None,” “One,” or “More than one.” For those equations with one solution, try to determine what the solution is.4x = 8

x + 5 = 9

6 + x = 11

x - 2 = 3

x - 3 = 1

7 - x = 2

6 - x = 3

2x = 8

5x = 10

8x = 16

2x = 10

3x = 0

0 = 4x

x \div 3 = 1

x \div 2 = 2

\frac{1}{2}x = 2

\frac{1}{3}x = 1

x \cdot x = 1

9x = 9

x - x = 0

x \cdot x = 25

Solve over the domain {0, 2, 4, 6, 8}.Eight times a number is 32. What is the number?

Solve over the domain {0, 2, 4, 6, 8}.Twelve more than a number is 20. What is the number?

Solve over the domain {0, 2, 4, 6, 8}.A number divided by four is 2. What is the number?

Solve over the domain {0, 2, 4, 6, 8}.Three less than a number is 3. What is the number?

Solve over the domain {0, 2, 4, 6, 8}.Three more than twice a number is 7. What is the number?

Solve over the domain {0, 2, 4, 6, 8}.Four times a number is 6 more than the number. What is the number?

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.2a + 9 = 17

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.3b - 4 = 11

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.10 = 8c - 6

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.13 = 6d - 5

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.9 + 9r = 81

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.5 + 5n = 50

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.2x = x + 7

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.3w = w \cdot 3

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.2f = f \cdot f

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.y(8 - y) = 0

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.(6 - v)(1 + v)v = 0

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.27k = (3k)(3k)(3k)

Suppose the domain for each equation is {1, 2, 3, 4,...}. (The dots show that the set goes on without end.) Determine the number of solutions for each equation. Write “None,” “One,” or “More than one.” For those equations with one solution, try to determine what the solution is.4x = 8

Solve over the domain {0, 2, 4, 6, 8}.

Eight times a number is 32. What is the number?

Solve over the domain {0, 2, 4, 6, 8}.

Twelve more than a number is 20. What is the number?

Solve over the domain {0, 2, 4, 6, 8}.

A number divided by four is 2. What is the number?

Solve over the domain {0, 2, 4, 6, 8}.

Three less than a number is 3. What is the number?

Solve over the domain {0, 2, 4, 6, 8}.

Three more than twice a number is 7. What is the number?

Solve over the domain {0, 2, 4, 6, 8}.

Four times a number is 6 more than the number. What is the number?

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.

2a + 9 = 17

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.

3b - 4 = 11

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.

10 = 8c - 6

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.

13 = 6d - 5

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.

9 + 9r = 81

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.

5 + 5n = 50

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.

2x = x + 7

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.

3w = w \cdot 3

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.

2f = f \cdot f

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.

y(8 - y) = 0

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.

(6 - v)(1 + v)v = 0

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.

27k = (3k)(3k)(3k)

Suppose the domain for each equation is {1, 2, 3, 4,...}. (The dots show that the set goes on without end.) Determine the number of solutions for each equation. Write “None,” “One,” or “More than one.” For those equations with one solution, try to determine what the solution is.

4x = 8

Solve over the domain {0, 2, 4, 6, 8}.

Eight times a number is 32. What is the number?

Solve over the domain {0, 2, 4, 6, 8}.

Twelve more than a number is 20. What is the number?

Solve over the domain {0, 2, 4, 6, 8}.

A number divided by four is 2. What is the number?

Solve over the domain {0, 2, 4, 6, 8}.

Three less than a number is 3. What is the number?

Solve over the domain {0, 2, 4, 6, 8}.

Three more than twice a number is 7. What is the number?

Solve over the domain {0, 2, 4, 6, 8}.

Four times a number is 6 more than the number. What is the number?

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.

2a + 9 = 17

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.

3b - 4 = 11

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.

10 = 8c - 6

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.

13 = 6d - 5

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.

9 + 9r = 81

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.

5 + 5n = 50

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.

2x = x + 7

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.

3w = w \cdot 3

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.

2f = f \cdot f

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.

y(8 - y) = 0

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.

(6 - v)(1 + v)v = 0

Solve over the domain {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.

27k = (3k)(3k)(3k)

Suppose the domain for each equation is {1, 2, 3, 4,...}. (The dots show that the set goes on without end.) Determine the number of solutions for each equation. Write “None,” “One,” or “More than one.” For those equations with one solution, try to determine what the solution is.

4x = 8