11/4 Algebra Section 2 Test: Equations and Inequalities

3c + 5 = 23

• c = 3
• c = 6
• c = 7
• c = 18

What is the first step to solve this equation:
11 - 3x = 44

• Add 3 to both sides
• Subtract 11 from both sides
• Add 11 to both sides
• Divide 3 on both sides.

10.    x / 2  - 5 = 3

• x = -2
• x = 2
• x = 16
• x = 8

When you graph an inequality, you used a closed dot when you use which symbols?

• ≤, ≥ 
• <, >

Solve the inequality.
x + 5 ≤ 13

• x ≥ 8
• x ≥ 18
• x ≤ 8 
• x ≤ 18 

Match the graph with its inequality.

• 11 < a
• 11 > a
•  11 ≤ a
•  11 ≥ a

What property is this?

9(b + 0.5) = 9b + 4.5

• Distributive

• Communitive

• Associative

• Inverse

Which are solutions?
20 > -2(x+5)

• n < -15
• n > -15
• n < -7.5
• n > -7.5

Which of the following are basic rules used for solving algebraic equations?

• Whatever you do to one side of the equal sign, you must copy and do on the other side of the equal sign

• Negative signs can be ignored

• Always start on the left side, regardless of where the variable is

• Always do the opposite operation

Find the all the solutions to: $x+7=7+x$  

• 0

• no solution

• infinitely many solutions

• 1