Solving Linear Equation & Inequalities

Does the sign need to flip when solving? -4y ≥ 28

• YES
• NO

Solve:
6x+10>5x-12

• x>2
• x<2
• x<-22
• x>-22

What is the next step to solve this equation? 3x - 5 = 7

• Add 5 to both sides of the equation

• Add 3x to both sides of the equation

• Subtract 5 from both sides of the equation

• Subtract 7 from both sides of the equation

In order to solve an equation, we must get variables on side of an equation, and constants on the opposite side.

• True

• False

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

• x = 4

• x = 3

• x = 2

• x = 1

What is the first step you should take to solve this equation:

 3(x-2)=2x+7

• Add 2 to both sides

• Isolate the variable on one side

• Use distributive property to get rid of the parentheses

• Subtract 7 from both sides

Solve:
2(2x + 3) = -6(x + 9)

• 1.2
• 6
• -6
• 7.5

Which equation models the situation given?

Savannah opens a savings account with $145. She saves $165 per month. After how many months will she save $2290?

Find the Error
What error did the student make when solving the equation:
⅕x + 6 = ⅗x + 5
1x + 6 = 3x + 5
-2x + 6 = 5
-2x = -1
x = 1/2

• The student found an incorrect common denominator
• The student did not multiply all terms by the common denominator
• The student did not use opposite operations appropriately
• The student did not correctly eliminate the variable from one side of the equation

• 8

• -8

• 3.2

• 4