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     =

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.