Solving Equations Jeopardy Review

1 and 2 Step Equations

100

x - 8 = 2

x = 10

200

x/2 + 1 = 5

x = 8

300

-2w + 1 = -9

w = 5

400

-5 + 10b = -75

b=-7

Variables on Both Sides

100

5t - 4= 4t - 8

t = -4

200

7 + 3h = -1 - 5h

h= -1

300

6d + 1 = 15 - d

d= 2

400

5(k - 4) = 4 - 3k

k = 3

Complex Equations

100

3(2x - 4) + 5 = 17

x = 4

200

5(x + 2) - 4 = 3x + 12

x = 3

300

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

x = 7

400

Challenge!!! Think about all the possible answers for x:

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

Because both sides are the exact same, ALL SOLUTIONS work!

x could be 4 or -100, so ANY number for x will keep the equation balanced.

Vocab

100

When solving equations, you always need to make sure that both sides of the equation are ______.

Equal, Equivalent, OR Balanced

200

This means a straight up number with no variables.

Examples: 4 OR -6

Constant

300

This is the number before a variable that is connected with multiplication to the variable.

Example: 2 in the term 2x OR -3 in the term -3y

Coefficient