Two-Step Problems

True or False

100

To solve a two-step problem, you usually will have to multiply or divide first

False, you usually have to add or subtract first

200

Equations always have equal signs

True

300

Equations have 1 solution only

True

400

Inequalities have 2 possible solutions

False, infinitely many solutions

500

You always flip the inequality sign when you solve two-step inequalities

False, only if you multiply or divide a negative number

Name that inverse

100

What is the first inverse in this problem?

4m - 5 = 11

+ 5 to both sides

200

What is the first inverse in this problem?

p/5 + 4 = 7

- 4 to both sides

300

What is the second inverse in this problem?

2b - 12 = 10

Divide 2 to both sides

400

What is the second inverse of this problem?

-5k - 6 = 19

Divide -5 to both sides

500

What are both inverses in this problem? IN ORDER

h/-3 + 17 = 16

First subtract 17 to both sides,

Second multiply -3 to both sides

? Mystery ?

100

What does inverse mean?

Opposite

200

Name one difference between equations and inequalities

The signs are different

OR

The amount of solutions are different

300

Answer one of these questions:

1. What does + - mean?

2. What does - - mean?

+ - means -

- - means +

400

If your inequality answer is x<2

can x = 2?

No, x cannot equal 2 because x has to be less than 2 from the inequality.

500

If your inequality answer is x>-10

can x = -11?

No, x has to be greater than -10, and -11 is less than -10

Equations

100

Solve:

3f + 5 = 11

f = 2

200

Solve:

9a - 6 = 21

a = 3

300

Solve:

c/4 + 10 = 26

c = 64

400

Solve:

-5w - 11 = 14

w = -5

500

Solve:

3(j - 8) = 12

j = 12

Inequalities

100

Solve:

2d + 4 < 10

d < 3

200

Solve:

10y - 4 > 36

y > 4

300

Solve:

s/6 - 9 ≥ 2

s ≥ 66

400

Solve:

-7t + 7 ≥ 14

t ≤ -1

500

Solve:

-v - 1 ≤ 2

v ≥ -3