6.2 Solving Equations Using Addition or Subtraction

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b + 7 + 12 = 30

b=11

Write the word sentence as an equation. Then solve the equation. 84 is 99 fewer than a number c

c=183

Write the word sentence as an equation. Then solve the equation. 46 is the total of 18 and a number d.

d=28

22 + 15 = d − 17

d=54

25 = f + 13

f=12

f − 22 = 14

f=36

f − 27 = 19

f=46

s + 24 = 35

s=11

8 + s = 10

s=2

v − 7 = 9 + 12

v=28

Write the word sentence as an equation. Then solve the equation. A number w decreased by 10 is 3.

w=13

Write the word sentence as an equation. Then solve the equation. 13 subtracted from a number w is 15.

w=28

x − 5 = 9

x=14

x - 5 = 20

x=25

Write the word sentence as an equation. Then solve the equation. The sum of a number x and 12 equals 15.

x=3

Write the word sentence as an equation. Then solve the equation. 4 less than a number g equals 9.

g=13

Write the word sentence as an equation. Then solve the equation. 93 is the sum of a number g and 58.

g=35

64 = h + 30

h=34

k + 6 = 18

k=12

Write the word sentence as an equation. Then solve the equation. 11 more than a number k equals 29.

k=18

Write the word sentence as an equation. Then solve the equation. A number k increased by 7 is 34.

k=27

1.2 = m − 2.5

m=3.7

m + 18 + 23 = 71

m=30

Write the word sentence as an equation. Then solve the equation. 9 is the difference of a number n and 7.

n=16

Tell whether the given value is a solution of the equation. a + 6 = 17; a = 9

no; 15 does not equal 17

Tell whether the given value is a solution of the equation. g − 9 = 24; g = 35

no; 26 does not equal 24

Tell whether the given value is a solution of the equation. p + 10 = 38; p = 18

no; 28 does not equal 38

Tell whether the given value is a solution of the equation. n + 8 = 42; n = 36

no; 44 does not equal 42

Tell whether the given value is a solution of the equation. 9 − g = 5; g = 3

no; 6 does not equal 5

Tell whether the given value is a solution of the equation. t − 5 = 17; t = 12

no; 7 does not equal 17

Write the word sentence as an equation. Then solve the equation. A number p decreased by 19 is 6.

p=25

p + 5 = 8

p=3

25 = q + 14

q=11

q + 8 = 25

q=17

q - 67 = 3

q=70

8 = r − 14

r=22

5 + 44 = 2 + r

r=47

a + 5.5 = 17.3

a=11.8

You get in an elevator and go up 4 floors. You exit on the 12th floor. Write and solve an equation to find what floor you got on the elevator. x

x=8

y − 7 = 3

y = 10

Write the word sentence as an equation. Then solve the equation. 20 equals 8 more than a number y.

y=12

y − 12 = 0

y=12

y − 10 = 4

y=14

y + 4 − 1 = 18

y=15

Tell whether the given value is a solution of the equation. s − 68 = 11; s = 79

yes; 11 equals 11

Tell whether the given value is a solution of the equation. 35 = 7n; n = 5

yes; 35 equals 35

Tell whether the given value is a solution of the equation. 4y = 56; y = 14

yes; 56 equals 56

Tell whether the given value is a solution of the equation. b÷ 6 = 8; b = 48

yes; 8 equals 8

z − 3 = 13

z= 16

z + 4 = 6

z=2


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