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Worksheets

Intro to Solving Equations

Total questions: 70

Worksheet time: 36mins

Name
Class
Date
1.

Convert the following number from Scientific Notation into Standard Form

 1.2 x 1031.2\ x\ 10^{-3}  

a)

0.012

b)

0.0012

c)

120

d)

1200

2.

Convert the following number from Scientific Notation into Standard Form.

 6.5 x 1036.5\ x\ 10^3  

a)

650 

b)

6500

c)

00.650

d)

0.065

3.

Convert the following number from Scientific Notation into Standard Form  

 6.5 x 1026.5\ x\ 10^{-2}  

a)

0.065 

b)

0.65

c)

000.065

d)

6500

4.

Convert the number below from Standard Form into Scientific Notation

6,400,000

a)

6.40 x 1056.40\ x\ 10^5

b)

6.4 x 1066.4\ x\ 10^6

c)

6.41 x 1066.41\ x\ 10^{-6}

d)

6.4x 1046.4x\ 10^4

5.

Write the number 0.019 in Scientific Notation.

a)

1.9 x 1021.9\ x\ 10^2

b)

1.9 x 1011.9\ x\ 10^{-1}

c)

0.9 x 10 2 0.9\ x\ 10\ ^{-2\ }

d)

1.9 x 1031.9\ x\ 10^{-3}

6.

Solve for r.

9 + r = -4

a)

r = 13

b)

r = -13

c)

r = 8

d)

r = -4

7.

Solve for c.

8 = c + 6

a)

c = -2

b)

c = -4

c)

c = 2

d)

c = 7

8.

Solve for t.

8 = 1 + t

a)

t = 7

b)

t = 6

c)

t = 8

d)

t = -7

9.

Solve for c .

2 = s + 9

a)

9

b)

7

c)

-7

d)

-2

10.

Solve for x .

-6 = x - 10

a)

1

b)

2

c)

3

d)

4

11.

Solve for w.

10 + w = 9

a)

19

b)

20

c)

-19

d)

-18

12.

Solve for u.

8 = u - 5

a)

12

b)

15

c)

13

d)

10

13.

Solve for n.

-8 = 6 + n

a)

12

b)

24

c)

-14

d)

14

14.

Solve for w.

-2 = w + 7

a)

8

b)

9

c)

-9

d)

7

15.

Solve for b.

0 = b + 5

a)

0

b)

-5

c)

-4

d)

5

16.

Solve for y.

-72 = -12y

a)

-6

b)

-5

c)

6

d)

4

17.

Solve for n.

-15 = 5n

a)

3

b)

-3

c)

6

d)

5

18.

Solve for m.

48 = 8m

a)

6

b)

8

c)

3

d)

-8

19.

Solve for k.

-50 = 10k

a)

5

b)

-10

c)

-5

d)

10

20.

Solve for r.

-21 = 7w

a)

3

b)

-7

c)

-3

d)

21

21.

Solve for j

-40 = -10j

a)

-4

b)

4

c)

10

d)

-8

22.

Solve for n.

12= -4n

a)

4

b)

-3

c)

3

d)

-4

23.

Solve for a

 2 = a62\ =\ \frac{a}{6}  

a)

2

b)

12

c)

6

d)

-12

24.

Solve for w

 1 =w101\ =\frac{w}{10}  

a)

8

b)

-10

c)

10

d)

12

25.

Solve for s

 9 = s5-9\ =\ \frac{s}{-5}  

a)

40

b)

-45

c)

45

d)

-35

26.

Solve for x

 x4= 3\frac{x}{4}=\ -3  

a)

12

b)

-13

c)

-12

d)

14

27.

Solve for y and simplify your answer.

 4 = 53y4\ =\ \frac{5}{3}y  

a)

2.4 

b)

2.5

c)

6

d)

3.4

28.

Solve for s

 23s = 20-\frac{2}{3}s\ =\ -20  

a)

30 

b)

-30 

c)

20 

d)

-24

29.

Solve for y.

 34y = 14-\frac{3}{4}y\ =\ 14  

a)

 143\frac{14}{3}  

b)

 143-\frac{14}{3}  

c)

 563\frac{56}{3}  

d)

 563-\frac{56}{3}  

30.

Solve for u and simplify your answer

 10 = 65u-10\ =\ \frac{6}{5}u  

a)

 253-\frac{25}{3}  

b)

 253\frac{25}{3}  

c)

 66\frac{6}{6}  

d)

 506-\frac{50}{6}  

31.

Solve for b and simplify your answer.


 43b = 6 \frac{4}{3}b\ =\ 6\   

a)

 92\frac{9}{2}  

b)

 92-\frac{9}{2}  

c)

 184\frac{18}{4}  

d)

 184-\frac{18}{4}  

32.

Solve for n.

-6 = - 36 + 6n

a)

5

b)

-5

c)

10

d)

-18

33.

Solve for t.

54 = 54 - 9t

a)

0

b)

-1

c)

3

d)

-8

34.

Solve for s.

14 = 2s -8

a)

-12

b)

12

c)

14

d)

-11

35.

Solve for t.

4 - 2t = 2

a)

1

b)

7

c)

9

d)

-1

36.

Solve for w.

-12 = 9 - 3w

a)

7

b)

9

c)

-7

d)

10

37.

Solve for y

-81 = 45 - 9y

a)

6

b)

-8

c)

-4

d)

4

38.

Solve for s.

3s -12 = -21

a)

5

b)

-5

c)

3

d)

-3

39.

Solve for x.

-18 = -9 - 3x

a)

9

b)

-9

c)

10

d)

-10

40.

Solve for u.

14 - 2u = -12

a)

4

b)

-12

c)

13

d)

4

41.

Solve for e

10 - 5y = - 30

a)

4

b)

-9

c)

8

d)

-8

42.

Solve for b

-12s - 48 = -48

a)

0

b)

-1

c)

1

d)

-12

43.

Solve for n.

4n + 12 = 36

a)

6

b)

-6

c)

18

d)

-9

44.

Solve for n.

6n -12 = -18

a)

-1

b)

-8

c)

9

d)

10

45.

Solve for m

-36 =-12y - 48

a)

-1

b)

1

c)

-5

d)

4

46.

Solve for x.

-8 - 8x = - 24

a)

5

b)

-2

c)

2

d)

06

47.

Solve for y.

4y - 4 = 4

a)

2

b)

-5

c)

-2

d)

-8

48.

Solve for s.

6 + 6y = -30

a)

6

b)

2

c)

-6

d)

7

49.

Solve for w.

-3w + 27 = 6

a)

8

b)

-7

c)

7

d)

-10

50.

Solve for y.

44 = 11y + 55

a)

-4

b)

0

c)

-1

d)

1

51.

Solve for x.

8 = 2x + 16

a)

-4

b)

4

c)

9

d)

6

52.

Solve for x.

11x + 9 = 6x - 1

a)

-2

b)

2

c)

-9

d)

9

53.

Solve for q.

-8q + 8 = -3x + 3

a)

2

b)

-1

c)

0

d)

1

54.

Solve for x.

-4x - 6 = -2x + 8

a)

8

b)

5

c)

-7

d)

-2

55.

Solve for z.

-3x - 9 = x - 1

a)

9

b)

-2

c)

2

d)

-3

56.

Solve for v.

5v + 6 = 8v + 12

a)

8

b)

-3

c)

5

d)

-2

57.

Solve for g.

-7x -5 = -10x - 26

a)

0

b)

-8

c)

2

d)

-7

58.

Solve for x.

-7x - 8 = -10x + 4

a)

-4

b)

5

c)

-5

d)

4

59.

Solve for x

x + 2 = 6x - 18

a)

7

b)

-4

c)

4

d)

9

60.

Solve for p

6x + 9 = 4x + 25

a)

8

b)

9

c)

-9

d)

-6

61.

Solve for h.

-2x + 1 = -x + 8

a)

0

b)

-8

c)

-7

d)

7

62.

Solve for x.

-2x - 5 = x - 17

a)

4

b)

5

c)

7

d)

6

63.

Solve for c

3x - 3 = x - 19

a)

-4

b)

-9

c)

-8

d)

5

64.

Two eight-grade classes are selling raffle tickets for $2.50 each and has already raised $350.

The other class is selling tickets for $3.00 each and has already raised $225.

Which equations can be used to find t, the number of tickets each class needs to sell so that the total amount raised is the same for both classes ?

a)

3t + 350 = 2.50t +225

b)

350 + 2.50 = 225t + 3

c)

2.50t + 350 = 3t + 225

d)

None of the above

65.

What value of x makes this equation true?

12x - 15 = 6 - 3x

a)

73\frac{7}{3}

b)

37\frac{3}{7}

c)

57\frac{5}{7}

d)

75\frac{7}{5}

66.

What is the solution to this equation?

2x+3 = x -4

(a)  

67.

Which value of x makes this equation true?

 x3 3 = x9+ 3\frac{x}{3}-\ 3\ =\ \frac{x}{9}+\ 3  

a)

3

b)

-9

c)

-1

d)

27

68.

What value of x makes the equation true?

(a)  

69.

The measures of two angles are (5x +24) and (9x-17). What is the value of x if these angles are congruent?

a)

1.75

b)

13.2

c)

0.5

d)

10.25

70.

What value of x makes this equation true?

0.6x - 5 = 0.1x + 7

a)

4

b)

14

c)

24

d)

6