Solve for the variable b. 37 = 9 + b - Home - Villago …casagrandevms.ss8.sharpschool.com/UserFiles/Servers... · Solve for the variable b. 37 = 9 + b ... Input w 14 13 15 16 18

Name _____________________ Date _________________________

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Single Step Algebra - Step-by-Step Lesson

Solve for the variable b.

37 = 9 + b

Explanation:

We have to find the value of b. The best way to approach this is to try to

get that variable by itself. One thing to remember is that you can do

anything to an equation that you want as long as you do the same thing to

both sides of the equal sign.

When we look at the equation:

37 = 9 + b

we ask ourselves how to get b by itself. Right now it is being added to the

integer 9. We know that addition and subtraction cancel one another out.

We can get rid of the 9 by subtracting 9 from both sides.

37 = 9 + b

-9 -9

37 – 9 = b (After subtracting by 9, we are left with this.)

28 = b

So, the answer is 28.

Name _____________________ Date _________________________


Single Step Algebra - Guided Lesson

Complete the following problems:

1) 67 = a + 35

2) 42 + c = 65

3) d + 33 = 38

Name _____________________ Date _________________________


Single Step Algebra - Guided Lesson Explanation

Explanation#1

We have to find the value of a. We need to subtract both sides by 35.

a = 67 – 35 = 32


Explanation#2

We have to find the value of c so that we can write the equation as:

c = 67 – 42 = 25

Subtracting 42 is the inverse of adding 42 to c.


Explanation#3

Step 1) First we have to see what is being asked.

Step 2) We have to find the value of d so that we can write the equation as:

d = 38 – 33 = 5

We can reverse the addition of 33 by subtracting 33.


Name _____________________ Date _________________________


Single Step Algebra - Independent Practice Worksheet

Complete all the problems.

1. 57 = 22 + e

2. 19 + f = 28

3. 77 = 43 + g

4. 7 + h = 19

5. 81 = 52 + i

6. 15 + j = 24

7. 26 = 22 + k

8. 36 + l = 56

9. 27 = 19 + m

10. 42 + n = 69

Name _____________________ Date _________________________


Single Step Algebra - Matching Worksheet

Match the problems to the value of the variable.

_______

1. 87 = 47 + z

a.

48

_______

2. 28 + y = 50

b.

36

_______

3. 63 = 29 + x

c.

-7

_______

4. 40 + w = 70

d.

-39

_______

5. 36 = 17 + v

e.

17

_______

6. 45 + u = 93

f.

19

_______

7. 15 = 8 + t

g.

30

_______

8. 72 + s = 89

h.

34

_______

9. 58 = 19 + r

i.

22

_______

10. 14 + s = 50

j.

40

Name: ________________________ Date ____________


Topic: Evaluating Formulas - Worksheet 1

Determine the value of the indicated variable.

1.

k = 8d

d=2

Find k

2.

m = 4d + 2r

d=2 m=2

Find r

3.

i = 3a

a=4

Find i

4.

k = 8(p + 6q)

q=7 k=8

Find p

5.

m =32a - 12r/8

a=2 r=4

Find m

6.

8r = p - 4d

p=3 d=4

Find r

7.

l = 40z - 8

l=9

Find z

8.

p = 11a + y

a=6 y=2

Find p

9.

8p = 6a - 7k

p=7 k=6

Find a

10.

7f = 6d/7

d=6

Find f

Name: ________________________ Date ____________


Topic: Evaluating Formulas - Worksheet 1 - ANSWERS


1.

16

2.

3

3.

12

4.

-4.25

5.

58

6.

-1.625

7.

.425

8.

68

9.

16.3333

10.

0.7347

Name: ________________________ Date ____________




1.

k = 6d

d=2

Find k

2.

m = 6d + 8r

d=8 m=4

Find r

3.

i = 7a

a=3

Find i

4.

k = 2(p + 4q)

q=6 k=7

Find p

5.

m =23a - 14r/8

a=7 r=6

Find m

6.

4r = p - 3d

p=7 d=8

Find r

7.

l = 60z - 8

l=4

Find z

8.

p = 48a + y

a=4 y=4

Find p

9.

8p = 8a - 9k

p=3 k=7

Find a

10.

4f = 6d/7

d=7

Find f

Name: ________________________ Date ____________


Topic: Evaluating Formulas - Worksheet 2 - ANSWERS


1.

12

2.

-5.5

3.

21

4.

-8.5

5.

150.5

6.

-4.25

7.

0.2

8.

196

9.

10.875

10.

1.5

Name: ________________________ Date ____________




1.

k = 4d

d=8

Find k

2.

m = 4d + 3r

d=4 m=3

Find r

3.

i = 6a

a=2

Find i

4.

k = 4(p + 6q)

q=8 P=6

Find K

5.

m =20a - 18r/6

a=4 r=4

Find m

6.

4r = p - 2d

p=6 d=7

Find r

7.

l = 10z - 4

l=2

Find z

8.

p = 20a + y

a=2 y=3

Find p

9.

9p = 4a - 3k

p=7 k=6

Find a

10.

8f = 6d/6

d=2

Find f

Name: ________________________ Date ____________


Topic: Evaluating Formulas - Worksheet 3-ANSWERS


1.

32

2.

-4.333

3.

12

4.

216

5.

68

6.

-2

7.

0.6

8.

43

9.

20.25

10.

0.25

Name: ________________________ Date ____________




1.

l = 2z - 8

l=2 Find z

2.

p = 66a + y a=6 y=2

Find p

3.

7p = 8a - 3k p=4 k=3

Find a

4.

8r = p - 5d p=3 d=5

Find r

5.

m =22a - 11r/8 a=7 r=6

Find m

6.

k = 4(p + 3q) q=5 k=3

Find p

7.

m = 5d + 3r

d=2 r=2

Find m

8.

i = 3a

a=2 Find i

9.

2f = 2d/6

d=3 Find f

10.

k = 4d

d=5 Find k

Name: ________________________ Date ____________


Topic: Evaluating Formulas - Worksheet 4 -ANSWERS


1.

5

2.

398

3.

4.625

4.

-2.75

5.

145.75

6.

-14.25

7.

16

8.

6

9.

0.5

10.

20

Name: ________________________ Date ____________




1.

l = 30z - 6

l=2 Find z

2.

p = 64a + y a=4 y=4

Find p

3.

5p = 6a - 5k p=6 k=5

Find a

4.

6r = p - 7d p=5 d=7

Find r

5.

m =24a - 13r/4 a=7 r=6

Find m

6.

k = 2(p + 3q) q=3 p=5

Find k

7.

m = 3d + 3r

d=4 m=8

Find r

8.

i = 2a

a=4 Find i

9.

3f = 4d/3

d=2 Find f

10.

k = 3d

d=6 Find k

Name: ________________________ Date ____________


Topic: Evaluating Formulas - Worksheet 5-ANSWERS


1.

0.26666

2.

260

3.

9.1666

4.

-7.3333

5.

148.5

6.

28

7.

-1.3333

8. 8

9.

0.8888

10.

18

Name: ________________________ Date ____________


Topic: Function tables - Worksheet 1

1. Rule a = b + 2 Input b 5 7 9 8 6 4

Output a

2. Rule g = 4 + q

Input q 2 5 7 9 11 13 Output g

3. Rule f = r – 2 Input r 4 8 12 16 19

Output f

4. Rule z = b + 3

Input b 3 6 9 12 15 18

Output z

5. Rule k = w - 3

Input w 4 13 14 16 19 20 Output k

Name: ________________________ Date ____________


Topic: Function tables - Worksheet 1 ANSWERS

1. Rule a = b + 3 Input b 5 7 9 8 6 4

Output a 8 10 12 11 9 7

2. Rule g = 4 + q

Input q 2 5 7 9 11 13 Output g 6 9 11 13 15 17

3. Rule f = r – 2 Input r 4 8 12 16 19

Output f 2 6 10 14 17

4. Rule z = b + 3

Input b 3 6 9 12 15 18

Output z 6 9 12 15 18 21

5. Rule k = w - 3

Input w 4 13 14 16 19 20 Output k 1 10 11 13 16 17

Name: ________________________ Date ____________



1. Rule a = b + 1 Input b 15 17 19 18 16 14

Output a

2. Rule g = 2 + q

Input q 21 51 71 91 12 14 Output g

3. Rule f = r – 3 Input r 5 18 22 36 23

Output f

4. Rule z = b + 4

Input b 4 8 16 18 22 28

Output z

5. Rule k = w - 2

Input w 14 13 15 16 18 17 Output k

Name: ________________________ Date ____________



1. Rule a = b + 1 Input b 15 17 19 18 16 14

Output a 16 18 20 19 17 15

2. Rule g = 2 + q

Input q 12 15 17 19 12 14 Output g 14 18 16 20 14 16

3. Rule f = r – 3 Input r 5 18 22 36 23

Output f 2 15 19 33 20

4. Rule z = b + 3

Input b 4 8 16 18 22 28

Output z 7 11 19 21 25 31

5. Rule k = w - 2

Input w 14 13 15 16 18 17 Output k 12 11 13 14 16 15

Name: ________________________ Date ____________



1. Rule a = b + 4 Input b 15 17 19 18 16 14

Output a

2. Rule g = 6 + q

Input q 21 51 71 91 12 14 Output g

3. Rule f = r – 2 Input r 6 7 12 6 22

Output f

4. Rule z = b + 4

Input b 9 18 26 38 23 27

Output z

5. Rule k = w - 1

Input w 15 16 18 19 20 30 Output k

Name: ________________________ Date ____________



1. Rule a = b + 4 Input b 15 17 19 18 16 14

Output a 19 21 23 22 20 18

2. Rule g = 6 + q

Input q 27 51 71 91 12 14 Output g 33 57 77 97 18 20

3. Rule f = r – 2 Input r 6 7 12 6 22

Output f 4 5 10 4 20

4. Rule z = b + 4

Input b 9 18 26 38 23 27

Output z 13 22 30 42 27 31

5. Rule k = w - 1

Input w 15 16 18 19 20 30 Output k 14 15 17 18 19 29

Name: ________________________ Date ____________



1. Rule a = b + 5 Input b 13 16 20 21 25 20

Output a

2. Rule g = 8+ q

Input q 1 25 30 26 34 43 Output g

3. Rule f = r – 4 Input r 16 71 22 61 21

Output f

4. Rule z = b + 6

Input b 19 28 20 30 53 37

Output z

5. Rule k = w - 5

Input w 14 17 28 39 40 30 Output k

Name: ________________________ Date ____________



1. Rule a = b + 5 Input b 13 16 20 27 25 19

Output a 18 21 25 32 30 24

2. Rule g = 8 + q

Input q 1 25 30 26 34 43 Output g 9 33 38 34 42 51

3. Rule f = r – 4 Input r 6 7 12 16 27

Output f 2 3 8 12 23

4. Rule z = b + 6

Input b 19 28 20 30 53 37

Output z 25 34 26 36 59 43

5. Rule k = w - 5

Input w 14 17 28 39 40 30 Output k 9 12 23 34 35 25

Name: ________________________ Date ____________



1. Rule a = b + 7 Input b 2 9 17 51 75 28

Output a

2. Rule g = 9+ q

Input q 0 27 31 25 35 23 Output g

3. Rule f = r – 9 Input r 11 51 42 63 91

Output f

4. Rule z = b + 8

Input b 15 18 24 35 13 34

Output z

5. Rule k = w - 2

Input w 15 17 38 30 41 31 Output k

Name: ________________________ Date ____________



1. Rule a = b + 7 Input b 2 9 17 51 75 28

Output a 9 16 24 58 82 35

2. Rule g = 9 + q

Input q 0 27 31 25 35 23 Output g 9 36 40 34 44 32

3. Rule f = r – 9 Input r 11 57 42 63 97

Output f 2 48 33 54 88

4. Rule z = b + 8

Input b 15 18 24 35 13 34

Output z 23 26 32 43 21 42

5. Rule k = w - 2

Input w 15 17 38 30 41 31 Output k 13 15 36 28 39 29

Name: ________________________ Date ____________


Topic : Function tables Missing Elements - Worksheet 1

1. Rule a = b + 4 Input b 4 12 16 24 32 40 Output a 8 20 44

2. Rule g = 3 + q

Input q 9 15 27 33 Output g 18 24 36 42

3. Rule f = r – 2 Input r 12 33 50 66 Output f 10 48 52

4. Rule z = b + 5 Input b 10 30 50 60 Output z 15 25 45

5. Rule k = w - 12 Input w 15 25 45 75 18 20 Output k 3 33 8

6. Rule v = r – 3 Input r 9 12 15 25 23 85 58 Output v 6 12 55

7. Rule j = w + 4 Input w 8 24 35 45 75 85 Output j 12 39 49

Name: ________________________ Date ____________


Topic : Function tables Missing Elements - Worksheet 1 ANSWERS 1. Rule a = b + 4 Input b 4 12 16 24 32 40 Output a 8 16 20 28 36 44

2. Rule g = 3 + q

Input q 9 15 21 27 33 39 Output g 12 18 24 30 36 42

3. Rule f = r – 2 Input r 12 33 50 66 54 Output f 10 31 48 64 52

4. Rule z = b + 5 Input b 10 20 30 40 50 60 Output z 15 25 35 45 55 65

5. Rule k = w - 12 Input w 15 25 45 75 18 20 Output k 3 13 33 63 6 8

6. Rule v = r – 3 Input r 9 12 15 25 23 85 58 Output v 6 9 12 22 20 82 55

7. Rule j = w + 4 Input w 8 24 35 45 75 85 Output j 12 28 39 49 79 89

Name: ________________________ Date ____________



8. Rule a = b + 3

Input b 18 24 27 33 42 52 Output a 21 30

9. Rule g = 7 + q

Input q 14 28 42 25 33 Output g 35 40 42

10. Rule f = r – 2

Input r 12 33 50 66 Output f 10 48 52

11. Rule z = b + 5

Input b 10 48 50 60 Output z 15 35 45

12. Rule k = w - 13 Input w 35 45 43 63 48 94

Output k 22 30 81

13. Rule v = r + 5

Input r 63 83 65 72 82 12 84 Output v 68 70 87

14. Rule j = w + 4

Input w 30 24 36 45 75 85 Output j 34 40 79

Name: ________________________ Date ____________


Topic : Function tables Missing Elements - Worksheet 2 ANSWERS

1. Rule a = b + 3

Input b 18 24 27 33 42 52 Output a 21 27 30 36 45 55

2. Rule g = 7 + q

Input q 14 28 42 25 33 35 Output g 21 35 49 32 40 42

3. Rule f = r – 2

Input r 12 33 50 66 54 Output f 10 31 48 64 52

4. Rule z = b + 5

Input b 10 30 48 40 50 60 Output z 15 35 53 45 55 65

5. Rule k = w - 13 Input w 35 45 43 63 48 94

Output k 22 32 30 50 35 81

6. Rule v = r + 5

Input r 63 83 65 72 82 12 84 Output v 68 88 70 77 87 17 89

7. Rule j = w + 4

Input w 30 24 36 45 75 85 Output j 34 28 40 49 79 89

Name: ________________________ Date ____________



15. Rule a = b + 4

Input b 25 37 47 57 67 87 Output a 41 71

16. Rule g = 7 + q

Input q 18 42 35 75 41 Output g 49 48 64

17. Rule f = r – 2

Input r 98 85 65 66 Output f 96 63 92

18. Rule z = b + 4

Input b 10 30 55 61 Output z 14 15 34

19. Rule k = w - 14 Input w 70 65 73 46 82 94

Output k 56 59 80

20. Rule v = r - 5

Input r 63 83 65 72 82 12 84 Output v 58 77 79

21. Rule j = w + 6

Input w 30 24 36 45 75 85 Output j 36 42 91

Name: ________________________ Date ____________



1. Rule a = b + 4

Input b 25 37 47 57 67 87 Output a 29 41 51 61 71 91

2. Rule g = 7 + q

Input q 18 42 35 75 41 57 Output g 25 49 42 82 48 64

3. Rule f = r – 2

Input r 98 85 65 66 94 Output f 96 83 63 64 92

4. Rule z = b + 4

Input b 10 11 30 33 55 61 Output z 14 15 34 37 59 65


6. Rule v = r - 5

Input r 63 83 65 72 82 12 84 Output v 58 78 60 67 77 7 79

7. Rule j = w + 6

Input w 30 24 36 45 75 85 Output j 36 30 42 51 81 91

Name: ________________________ Date ____________



22. Rule a = b - 3 Input b 25 37 47 57 67 87 Output a 22 44 84

23. Rule g = 1 + q

Input q 18 42 35 75 41 25 Output g 19 76

24. Rule f = r + 2 Input r 23 33 43 53 63 Output f 35 65

25. Rule z = b + 7 Input b 10 30 55 61 Output z 17 69 37 8 68


27. Rule v = r - 3 Input r 63 83 29 72 82 12 84 Output v 60 69 81

28. Rule j = w - 6 Input w 30 24 36 45 75 85 Output j 24 39 79

Name: ________________________ Date ____________



1. Rule a = b - 3 Input b 25 37 47 57 67 87 Output a 22 34 44 54 64 84

2. Rule g = 1 + q

Input q 18 42 35 75 41 25 Output g 19 43 36 76 42 26

3. Rule f = r + 2 Input r 23 33 43 53 63 Output f 25 35 45 55 65



6. Rule v = r - 3 Input r 63 83 29 72 82 12 84 Output v 60 80 26 69 79 9 81

7. Rule j = w - 6 Input w 30 24 36 45 75 85 Output j 24 18 30 39 69 79

Name: ________________________ Date ____________



29. Rule a = b + 4 Input b 4 12 16 24 32 36 Output a 8 20 40

30. Rule v = r- 3 Input r 9 12 15 25 23 85 58 Output v 6 12 55

31. Rule f = r + 2 Input r 12 33 50 66 Output f 14 52 98

32. Rule z = b + 7 Input b 10 30 50 60 Output z 17 25 45


34. Rule v = r - 3 Input r 63 83 29 72 82 12 84 Output v 60 69 81

35. Rule j = w - 6 Input w 30 24 36 45 75 85 Output j 24 30 69

Name: ________________________ Date ____________



1. Rule a = b + 4 Input b 4 12 16 24 32 36 Output a 8 16 20 28 36 40


3. Rule f = r + 2 Input r 12 33 50 66 96 Output f 14 35 52 68 98




7. Rule j = w - 6 Input w 30 24 36 45 75 85 Output j 24 18 30 39 69 79

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Solve for the variable b. 37 = 9 + b - Home - Villago …casagrandevms.ss8.sharpschool.com/UserFiles/Servers... · Solve for the variable b. 37 = 9 + b ... Input w 14 13 15 16 18