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 _________________________
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Single Step Algebra - Guided Lesson
Complete the following problems:
1) 67 = a + 35
2) 42 + c = 65
3) d + 33 = 38
Name _____________________ Date _________________________
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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
So, the answer is 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.
So, the answer is 25.
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.
So, the answer is 5.
Name _____________________ Date _________________________
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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 _________________________
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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 ____________
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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 ____________
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Topic: Evaluating Formulas - Worksheet 1 - ANSWERS
Determine the value of the indicated variable.
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 ____________
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Topic: Evaluating Formulas - Worksheet 2
Determine the value of the indicated variable.
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 ____________
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Topic: Evaluating Formulas - Worksheet 2 - ANSWERS
Determine the value of the indicated variable.
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 ____________
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Topic: Evaluating Formulas - Worksheet 3
Determine the value of the indicated variable.
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 ____________
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Topic: Evaluating Formulas - Worksheet 3-ANSWERS
Determine the value of the indicated variable.
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 ____________
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Topic: Evaluating Formulas - Worksheet 4
Determine the value of the indicated variable.
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 ____________
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Topic: Evaluating Formulas - Worksheet 4 -ANSWERS
Determine the value of the indicated variable.
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 ____________
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Topic: Evaluating Formulas - Worksheet 5
Determine the value of the indicated variable.
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 ____________
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Topic: Evaluating Formulas - Worksheet 5-ANSWERS
Determine the value of the indicated variable.
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 ____________
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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 ____________
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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 ____________
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Topic: Function tables - Worksheet 2
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 ____________
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Topic: Function tables - Worksheet 2 ANSWERS
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 ____________
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Topic: Function tables - Worksheet 3
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 ____________
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Topic: Function tables - Worksheet 3 ANSWERS
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 ____________
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Topic: Function tables - Worksheet 4
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 ____________
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Topic: Function tables - Worksheet 4 ANSWERS
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 ____________
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Topic: Function tables - Worksheet 5
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 ____________
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Topic: Function tables - Worksheet 5
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 ____________
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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 ____________
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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 ____________
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Topic : Function tables Missing Elements - Worksheet 2
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 ____________
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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 ____________
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Topic : Function tables Missing Elements - Worksheet 3
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 ____________
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Topic : Function tables Missing Elements - Worksheet 3 ANSWERS
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
5. Rule k = w - 14 Input w 70 65 73 46 82 94 Output k 56 51 59 32 68 80
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 ____________
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Topic : Function tables Missing Elements - Worksheet 4
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
26. Rule k = w - 11 Input w 70 65 73 46 82 94 Output k 59 62 71
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 ____________
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Topic : Function tables Missing Elements - Worksheet 4 ANSWERS
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
4. Rule z = b + 7 Input b 10 62 30 1 55 61 Output z 17 69 37 8 62 68
5. Rule k = w - 11 Input w 70 65 73 46 82 94 Output k 59 54 62 35 71 83
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 ____________
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Topic : Function tables Missing Elements - Worksheet 5
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
33. Rule k = w - 8 Input w 70 65 73 46 82 94 Output k 62 65 74
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 ____________
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Topic : Function tables Missing Elements - Worksheet 5 ANSWERS
1. Rule a = b + 4 Input b 4 12 16 24 32 36 Output a 8 16 20 28 36 40
2. Rule v = r - 3 Input r 9 12 15 25 23 85 58 Output v 6 9 12 22 20 82 55
3. Rule f = r + 2 Input r 12 33 50 66 96 Output f 14 35 52 68 98
4. Rule z = b + 7 Input b 10 18 30 38 50 60 Output z 17 25 37 45 57 67
5. Rule k = w - 8 Input w 70 65 73 46 82 94 Output k 62 57 65 38 74 86
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