Equalities & Inequalities

Solving Expressions

100

6x + 4 = 5 + 7x

x = -1

200

-4x-3=-3x + 8

x=-11

300

6x + 2 = 5x – 6

x=-8

400

7x - 2 - 2x + 5= -2x + 1+ 6x

x=-2

500

-3x - 2 - 2x + 4=-8x - 3 + 2x - 1

x=-2

Translating Expressions

100

Nine increased by twice a number

9 + 2(x)

200

three-fifths of a number

3/5 * x

300

Two less than three times a number is the same as three more than four times the number

3x-2=3+4x

400

Four more than five times a number is the same as the product of four and three less than the number. 

4+5x= 4(x-3)

500

The sum of three consecutive integers is the same as seven less than twice the middle integer.

x + (x+1) + (x+2) = 2(x+1)-7

Buddy Up

Solving Expressions(Division)

100

4(x − 2) = 2(x+3)

x=7

200

6x-8=4-3x

x = 12/9 = 4/3

300

-5x + 9= 3x - 15

x = 3

400

4(x − 2) + 5 = 3 + 2(x − 3)

x = 0

Buddy Up

500

7(x − 3) – 2(3x + 4) = 5(3x − 2)

x=-19/14

Solving Expressions (Multiplication)

100

x/2 = 33

x = 66

200

12x/4 = 15

x = 5

300

4x - 1/2 = 2/3

x = 7/24

400

(x+1)/2 = (x-2)/3

x = -7

500

(x-3)/4 = (x+4)/5

x = 31

Inequalities

100

−2x < 6

x > -3

200

-7x > 56

x < -8

300

4x + 49 < 9-x

x < -8

Buddy Up

400

3(2n + 1) > 4n + 9

n > 3

500

7n - 2(n + 5) < 3n − 16

n < -3