One-Step Equations Review

One-step Division Equations

100

What is the inverse operation of division?

multiplication

200

x/12 = 9

12 x 9 = 108

x = 108

300

x/8 = -4

8(-4) = -32

x = -32

400

x/6=2/3

6(2/3) = 4

x = 4

500

Davon is saving his allowance to purchase a telescope.  If he saves $7 a week for 14 weeks, which of the following equations can be used to find the total cost of the telescope?

A.  7 + x = 14

B.  x - 7 = 14

C.  x/14 = 7

D.  7x = 14

C.  x/14 = 7

One-step Addition Equations

100

What is the inverse operation of addition?

subtraction

200

x + 83 = 179

179 - 83 = 96

x = 96 

300

x + 49 = -42

-42 - 49 = -91

x = -91

400

x + 138 = -381

-381 - 138 = -519

x =  -519

500

Nick wants to buy a skateboard that costs $85.  He has already saved $15.  Which equation represents the amount of money Nick still needs to buy the skateboard?

A.  t - 15 = 85

B.  t + 15 = 85

C.  15 - t = 85

D.  t = 15 + 85

B.  t + 15 = 85

One-step Multiplication Equations

100

What is the inverse operation of multiplication?

division

200

4n = 36

36/4 = 9

n = 9

300

-3v = -27

-27/-3 = 9

v = 9

400

-6d = 2

2/-6 = -1/3

d = -1/3

500

The Walter's traveled 182 miles in 3  1/2 hours.  The equation 3.5m = 182 can be used to find their mean rate of travel.  What is the value of m?

A.  60

B.  52

C.  50

D.  48

B.  52

182 divided by 3.5 = 52

One-step Subtraction Equations

100

What is the inverse operation of subtraction?

addition

200

y - 17 = 38

38 + 17 = 55

y = 55

300

m - 27 = -66

-66 + 27 = -39

m = -39

400

x - 25 = -25

-25 + 25 = 0

x = 0

500

Troy's age is 3 less than Paula's age, p. Troy is 11 years old. Which equation could be used to find Paula's age?

A.  p + 11 3

B.  11 - 3 = p

C.  p - 3 = 11

D.  3 - p = 11

C.  p - 3 = 11

Multi-step Equations

100

10x - 5 = 305

10x - 5 = 305

      + 5      + 5  (add 5 to both sides)

10x = 310   (divide both sides by 10)

x = 31

200

2x + 11 = 525

2x+ 11 = 525

    - 11      -11 (subtract 11 from both sides)

2x = 514            (divide both sides by 2)

x = 257

300

9x - 1 = 314

9x - 1 = 314

    + 1    +1   (add 1 to both sides)

9x = 315       (divide both sides by 9)

x = 35

400

13(x - 2) = 78

13(x - 2) = 78    (apply the distributive property)

13x - 26 = 78

       +26   + 26   (add 26 to both sides)

13x    = 104        (divide both sides by 13)

x = 8

500

9(x + 35) = 351

9(x + 35) = 351  (apply the distributive property)

9x + 315 = 351   

     - 315    -315   (subtract 315 from both sides)

9x = 36               (divide both sides by 9)

x = 4