Solve Equations with Variables on both sides I
Solve Inequalities with Variables on both sides I
Solve Equations & Inequalities with Variables on both sides II
Simplify Expressions
100
11x=24+8x
x=8
100

3a-1<2a

a<1

100

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

x=13

100

2m - 16 + 5 m + 45

7m + 29    

200
2z-31=-9z+24
z=5
200

5n+9>2n

n>-3

200

2x+3x-7>x+1

x>2

200

3(x + 4)

3x + 12

300
9-2y=8y-6
y=1.5
300

8y-3>=6y+17

y>=10

300

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

x= -2

300

3(x+2)-5x+7

-2x+13

400

2x + 11 = -3x + 36

What is x = 5

400

x+5<=4x+26

x>=7

400

One day Sally walked 3 miles per hour and started 1 mile from her house. The next day she jogged 5 miles per hour starting from her house. Write an equation to find the number of hours, h, Sally exercised if she went the same distance both days.

3h+1=5h

400

7 - (2x+3)

-2x+4

500

3/4x+8=2x-12

x=16

500

x+5<4x+26

what is x > 7

500

Bronze Gym charges a membership fee of $50 plus $9 for each visit. 12-Hour Gym only charges $12 for each visit. Which inequality best represents the number of visits, v, when Bronze Gym costs less than 12-Hour Gym? Miscellaneous

50 + 9v< 12v

500

-(3x-4) + 2x - 1

-x+3

600

7x - 17 = 3x + 4 - 2x

x=7/2 or 3.5

600

12x+ 3<= 5x+ 31

x<=4

600

Sara had $330 in her savings account when Chris opened a savings account with zero dollars.

  • Sara deposited $30 into her account each week for x weeks.

  • Chris deposited $50 into his account each week for x weeks.

  • The accounts did not earn interest.


Which inequality represents this situation when the amount of money in Sara’s account was greater than the amount of money in Chris’s account?

50x < 330 + 30x

600

2(4x-8) - 3(2x+3)

2x-25

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