Solve Linear Equations in One Variable

How many solutions does the equation shown have?

5x-2=7x+3

• No Solutions

• One Solutions

• Infinite Solutions

• Twelve Solutions

Tags

CCSS.8.EE.C.7A

How many solutions does the equation shown have?

• No Solutions

• One Solution

• Infinite Solutions

• Nine Solutions

Tags

CCSS.8.EE.C.7A

Solve for x in the following equation:

4x+2=2(x-3)

• No Solution

• -5/2

• -4

• 1/6

Solve for x in the following equation:

-4x-2+9=4(x+5)-3

• No Solutions

• -5/4

• 9

• -2

What is the solution of the given equation? (4x - 3)/5 - 3 = 2x/3 - 12

• -27

• -63

• -28/25

• 1

Answer explanation

(4x - 3)/5 - 3 = 2x/3 - 12 can be written as 4x/5 - 3/5 -3 = 2x/3 - 12 Transposing -3/5 and -3 to RHS and 2x/3 to LHS we get 4x/5 -2x/3 = 3/5 + 3 - 12 i.e. x(4/5 - 2/3) = 3/5 - 9 i.e. x (12/15 - 10/15) = 3/5 - 45/5 i.e. x(2/15) = -42/5 Transposing 2/15 to RHS we get x = -42/5 × 15/2 i.e. x = -21 × 3 i.e. x = -63 Hence, option 2 is correct.

Solve for x in the following equation:

x-4+3x=4(x+1)-2

• No Solutions

• 7

• -3

• 2

How many solutions does the equation shown have?

4x+1=4x+1

• No Solutions

• One Solution

• Infinite Solution

• Four Solutions

Tags

CCSS.8.EE.C.7A

How many solutions does the equation shown have?

x-4=x+2

• No Solutions

• One Solution

• Infinite Solutions

• Two Solutions

Tags

CCSS.8.EE.C.7A

How many solutions does the equation shown have?

2x-8=2(x-5)+2

• No Solutions

• One Solutions

• Infinite Solutions

• Two Solutions

Tags

CCSS.8.EE.C.7A

Solve. 
-7x = 56

• -8

• 8

• -6

• -9

Tags

CCSS.6.EE.B.7