Envision Solving Equations and Inequalities

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.

Solve   -3x + 5 = -16

• 9

• 8

• -7

• 7

The model represents an equation.

What value of x makes the equation true?

• 3

• 8

• 6

• 4

What is the solution to this inequality?

• x > −18

• x > 9

• x > 21

• x > −42

2x - 3 + 4x = 27

• 12

• 4

• 5

• 15

Solve for x:

2x - 3 + 4x = 27

• x = 12

• x = 4

• x = 5

• x = 15

Solve for b:
-11 + 3(b + 5) = 7

• b = 1

• b = -1

• b = 3

• b = -3

Solve the equation

-2(x + 3) = 16

• x = - 11

• x = 5

• x = 11

• x = -5

The Rug store installs carpet for $80 plus $9.50 per square yard of carpet. The Magic Carpet charges $120 for installation and $7.50 per square yard of carpet. Write an inequality that could be used to determine the number of square yards of carpet that need to be installed for The Rug Store to charge more than The Magic Carpet.

• 80+9.50x > 120+7.50x

• 80+9.50x < 120+7.50x

• 80x+9.50 > 120x+7.50

• 80x+9.50 < 120x+7.50

Solve the linear inequality

• x < 0

• x > 0

• x < 3

• x > 3