Linear Equations
Inequalities
Solving Expressions
Writing Expressions
Potpourri
100

3x  - 7 = 4 - 8x

x = 1

100

15x>75

x>5

100

Half a number increased by 5 is 7. What is the number?

x=4

100

A number decreased by 12

x−12

100

Seven less than 8 times a number is what written as what equation?

8x−7

200

2x + 3 + 3x = 17

x= 4

200

-4x <28

X> -7

200

Five times the difference of a number and 11 is 10. What is the number? 

x=13

200

Twice a number increased by 8 is 20.

2x+8=20

200

2m + 23 < 31

m<4

300

7y + 2 = -2y + 20

y = 2

300

4a + 25> 9

a > -4

300

15 is 3 times a number decreased by 9. What is the number. What is the number?

x=−2

300

Five times a number increased by 8 is the same as 9 times the number decreased by 10.

5x+8=9x−10

300

4x - 10 = 5x + 7

x= -17

400

5 (x - 7) = 6

x=8.2

400

-12 < 5y-2 < 23

-2<y<5

400

7 times a number is the same as twice the sum of the number and 20. What is the number?

x=8

400

The quotient of a number and 9 decreased by 5 is 15.

x/9−5=15

400

Twice the difference of a number and 5 is the same as 7 more that 3 times the number. What is the equation?

2(x−5)=3x+7

500

2(y - 4) = 5y - 3

y=-1 2/3

500

4x-5 < 2(2x-3)

Infinite Solutions

500

Eight less than 6 times a number is the same 3 more than twice the number. What is the number?

x=2.75 or 2 and 3/4

500

9 more than the quotient of a number and 3

x/3+9

500

3(z+2) = 3z+2

No solution

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