Solving Equations MATH Night

General Trivia

100

What is the 4 basic operations?

add, subtract,divide,multiply

200

In order to solve an equation what must you do to the operations to collect like terms?

The inverse or opposite

300

Name the 3 types of equations (related to steps)

One, Two, and Multi step equations and/or Quadratic equations  

400

hen solving an equation what Procedure do you do in reverse?

Order of Operations or PEMDAS

500

When solving something like 3(x -2) = 12

what step do you do first?

Expand the brackets

One-Step Equations

100

4 = -8 + x

x= 12

200

x + 12 = 0

x= -12

300

3 = -2 – x

x= -5

400

5x = -80

x= 16

500

16 = x/2

x= 32

Multi-Step Equations

100

Solving Equations

4x + 3 = 7

x = 1

200

Solving Equations

4(6 + 5x) = 124

x = 5

300

Solving Equations

-108 = -8(x + 6) - 4

x = 7

400

Solving Equations

172 = 5(4a + 6) + 2

a=7

500

Solving Equations

-93 = 7(-3k - 8) + 5

k = 2

Multi-Step Equations w/ Variables on Both Sides

100

Solving Equations

5n - 2 = 8n - 14

n = 4

200

Solving Equations

-4(-8p + 1) = -4 - 8p

p = 0

300

Solving Equations

6(6n - 2) = 8n - 40

n = -1

400

Solving Equations

5x + 5 + 4x = 4 - 3x + 6

x= 5/12    or    x= 0.41667

500

Solving Equations

-5(8n - 4) - n = - 16 - 5n

n = 1

Literal Equations

100

ax – 13 = 11

x= 24 / a

200

bx + g = 14

x= (14 - g) / b

300

(x/a) +g=-8

x= a(- 8 - g)

400

(x/y)-2p=10

x= y (10 + 2p)

500

(y/x) + r = v

x= y / (v - r)