Solving Equations and Finding the Number of Solutions

What is the solution to this equation?

• one solution
• no solution
• infinite solutions
• none of these

Tags

CCSS.8.EE.C.7A

Solve.

3y + 6 + 4y - 7 = -8

• y=-1

• y=-8

• y=1

• No solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve:

5x - 14 = 8x + 4

• x=6

• x=-6

• x=-18/13

• x=10/3

3(x-8)=3x-24

• No Solution

• x=3

• Infinite Solutions

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve:

2x + 1 = 2x - 1

• No Solution

• x = 0

• Infinite Solutions

For the equation 3(2x - 5) = 6x - k, which value of k will create an equation with infinite solutions?

• 15

• -5

• 5

• -15

How many solutions does this equation have?

5(x -3) + 6 = 5x - 10

• one solution

• no solution

• infinite solutions

How many solutions does this equation have?

5(x -3) + 6 = 4x + 3

• one solution

• no solution

• infinite solutions

Select a method that can be used to find the value x.

x - 18 = 6 - 3x

• Add x to both sides, subtract 6 from both sides, then divide both sides by 2.

• Add 3x to both sides, add 18 to both sides, then divide both sides by 4.

• Subtract x from both sides, add 6 to both sides, then divide both sides by 4.

• Subtract 3x from both sides, subtract 18 from both sides, then divide both sides by 2.

Solve for x.

 $5.25x\ +\ 3.25\ =\ 1.75x\ +10.25$  

• x = -2

• x = 3

• x = -3

• x = 2

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3