Simple Linear Equations with Rational Numbers

What is the first step in solving the equation 2a - 4(a - 5) = 10

• Add 4 to both sides

• Add the 2a and a 

• Distribute 4 to a and -5

• Distribute -4 to a and -5

Tags

CCSS.8.EE.C.7B

What is the first step to solve this equation?
3n - 4 = -2 + 2n 

• Add 2n to both sides of the equation

• Add 3n to both sides of the equation

• Subtract 2n from both sides of the equation

• Subtract 4 from both sides of the equation

What is the next step to solve this equation?
n - 4 = -2

• Add 4 to both sides of the equation

• Add n to both sides of the equation

• Subtract n from both sides of the equation

• Subtract 4 from both sides of the equation

Tags

CCSS.6.EE.B.7

What is the first step to solve this equation?
3x + 6 = 10 + 3x + 4x

• Add 4x to both sides of the equation

• Combine like terms 3x and 4x on the same side of the equation

• Add 3x and 6 to get 9x

• Add 6 and 10 to get 16

What is the next step to solve this equation?
3x + 6 = 10 + 7x

• Add 6 to both sides of the equation

• Add 10 to both sides of the equation

• Add 7x to both sides of the equation

• Subtract 3x from both sides of the equation

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

• 4

• 3

• 2

• 1

Tags

CCSS.8.EE.C.7B

Why do you multiply by 7 on both sides?

• To undo division, you must multiply.

• To balance the equation, you must divide by 7 on both sides.

• To undo multiplication, you must divide.

• To balance the equation, you must multiply by 7 on both sides.

Tags

CCSS.HSA.REI.A.1

What is the solution of the equation? 
1/3a = 7/9

• 2  1/3

• 1  2/7

• 7/27

• 1/3

Tags

CCSS.6.EE.B.7

Solve the equation:
-2.6 + x = -4.6

• x = 2

• x = -2

• x = 7.2

• x = -7.2

Tags

CCSS.6.EE.B.7

Solve the equation. Check your solution.

• 24

• ¹⁴⁷/₈ or 18 ³/₈

• 168

• -24

Tags

CCSS.6.EE.B.7