Solving Equations Review 1A

Word Problems/solve for a variable

100

The product of two and x increased by fourteen is equivalent to ten

2x + 14 = 10

200

Solve for x.

7x + 6x = y

x = y/13

300

Solve for y. 

2x +3y-4=5z

y=(5z-2x+4)/3

400

 five less than the product of two and a number, x,  is the same as the sum of fifteen and x

2x - 5 = 15 + x

500

Five times the sum of a number and three is the same as six less than twice the number plus twice a number y.

Solve for y

5(x+3)=2x-6 + 2y

y =(3x + 21)/2

2-Step

100

7b-2=19

b = 3

200

6x-8 = 34

x = 7

300

x/4+5= -11    

x = -64

400

-9x - 8 = 100

x = -12

500

⅓x - 27 = -3

x = 72

Multiple Step

100

6(d-5)=12

d = 7

200

12 = 1/2(x+4)

x = 20

300

(4x+12)/6 = -4    

x= -9

400

29=5-2(3x-6)

x= -2

500

2(x + 8) - 3(x +8) = 7

x = -15

Absolute Value

100

|-8-10| + |2-10|

26

200

|X| =  16-23

X = No Solution

300

|2x-4|=14    

x =9, -5

400

-|x+9| = -10

x = 1, -19

500

-3|x+9|-6= -24

x = -15, -3

Variables on both sides

100

x+1 = -x +1

x = 0

200

2x -3x = 5 -x  

No solution

300

3(2x+8)= -4(x-6)+10x

Infinite solutions

400

4x+9-x=90

x = 27

500

3(x+4)-2(x-4)=4(x-3)

x = 32/3