7th Expressions and Equations Review

Writing Expressions and Equations

100

the quotient of a number and 3

x/3

200

9 less than 7 times a number

7x-9

300

13 subtracted from the quotient of 15 and a number

15/x - 13

400

Write an equation for the phrase and then solve: 

the product of -5 and a number decreased by 3 is 12

-5x - 3 = 12

x = -3

500

Write an equation for the phrase and solve

the quotient of a number squared and 1/2 is 8

x²/(1/2) = 8

x = 4

Simplifying Expressions

100

3c + 10c - 7c²²

13c - 7c²²

200

12x + 6y - (-8x) - 8y

20x - 2y

300

9x - 5 - 11x - (-3)

-2x - 2

400

-3(x - 3) + 15x + 7

12x + 16

500

3/2(w-4) - 1/2(w-4)

w - 4

One-Step Equations

100

28 = x - 18

x = 46

200

13.25 = x + 15.901

x = -2.651

300

(-3/10)x = 18

x = -60

400

-1/4 = y/12.2

y = -3.05

500

- x/.21 = .21

x = -0.0441

Two-Step Equations

100

9x - 14 = 40

x = 6

200

136 - 14g = 52

g = 6

300

- 99 = -3(x-10)

x = 43

400

4.5 - 1.5(6m+2) = 6

m = -1/2

500

-5/2(x - 1) = 15

x = -5

Two-Step Equations

100

-8y - 15 = 41

y = -7

200

12 - 3x - 9 = -21

x = 8

300

-5x - 9 + 16x + 7 -x = -72

x = -7

400

1/3(d + 9) = -12

d = -45

500

15 = 4.3n - 2.1(n - 4)

n = 3