solve equations/inequalities

-2(x + 3) - 5 = 11

• x = - 11
• x = 2
• x = 11
• x = -2

4x + 2(x - 6) = 12

• x = 6
• x = 4
• x = 2
• x = -2

Find the error in the problem below

19 - 2k = 3k - 1

+3k +3k

19 + 1k = -1

-19 -19

k = -20

• They should have divided by 1 for the last step

• They should add 19 instead of subtracting 19

• I can not find an error

• Instead of adding 3k they should subtract 3k

Solve the inequality

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Distribute and simplify

• 15x + 135

• 15x + 9

• 39x + 9

• 39x + 135

How many solutions does the following equation have:

2(9x – 6) = 6(3x – 2) + 2

• One solution

• Two solutions

• No solution

• Infinitely many: all real numbers

Solve the following inequality:
-4x + 14 ≤ 54

• x ≥ -10
• x ≤ -10
• x ≥ 17
• x ≤ 17

5 more than half of a number is at least 12.

Johnny earns $15 per hour dog walking. He wants to earn at least $105 to buy a new bike. Which inequality represents how long Johnny needs to work to afford his new bike? 

• 15h ≤ 105
• 15h > 105
• 15h < 105
• 15h ≥ 105

• x = 12

• x = -10

• x = -6

• x = -16