E6 Multi-step Equations w/word problems

1) Find a number such that three times the number

increased by 7 is 52.

 

Translated:  3x + 7 = 52

 

x =

2)  Find five times a number decreased by 11 is 19.

 

Translated:  5x - 11 = 19

 

 

x =

3)  13 more than four times a number is -91.

 

Translated:  4x + 13 = -91

 

x =

4)  Find a number such that seven less than twice

the number is 43.

 

Translated:  2x - 7 = 43

 

x = 

5)  The length of a rectangle is four times its width. 

Its perimeter is 90 m.  Find its dimensions. 

Use P = 2l + 2w.

 

Translated:  2(4w + w) = 90

 

width =        m     length =            m 

6)  The total cost of a play station and a game is

$291.  The play station cost twice as much as the

game.  How much did the play station cost?

 

Translated:  g + 2g = 291

 

a play station costs = $

7)  In one season, Ashleigh ran 18 races.  This was

four fewer races than twice the number races

Crystal ran.  How many races did Crystal run?

 

Translated:  2c -4 = 18

 

Crystal ran            races.

8)  The perimeter of a triangle is 51 cm.  The

lengths of its sides are consecutive odd whole

numbers.  Find the lengths of all three sides.

 

Translated:  x    + x+2   +   x+4 = 51

 

 

short side   = 


middle side =


long side     =

  

9)  The length of a rectangle is 5 more than twice

its width.  Its perimeter is 88 feet.  Find its dimensions. 

Use P = 2l + 2w.

 

Translation:  2(2w + 5 + w) = 88

 

 

Length:        ft.       Width:        ft. 

10)  Justin hit four more home runs than twice the

number of home runs Brandon hit.  Together they

hit 10 homeruns.  How many home runs did Justin

hit?

 

Justin's home runs + Brandon's home runs = 10


           2b + 4        +            b                     = 10

 


Brandon had               home runs.


Justin had            home runs.

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