Solving Linear Equation

When solving a system of equations algebraically, which statement results in infinite solutions?

• 4 = 7

• 2 = 2

• -3 = 3

• all of the above

Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all.  Upon completing the job he counted out the coins and it came to $6.60.  Which system of equations could be used to find the exact number of dimes and nickels? 

• d + n = 6.60
  .10d + .05n = 80

• d + n = 80
  d + n = 6.60

• d + n = 80
  .10d + .05n = 6.60

• d + n = 80
  .05d + .10n = 6.60

Amy sold 10 packages of sugar cookies and 2 packages of oatmeal cookies for $56. Adam sold 9 packages of sugar cookies and 3 packages of oatmeal cookies for $60. What is the price of 1 pack of sugar cookies and 1 pack of oatmeal cookies?

• Sugar Cookies $5 
  Oatmeal Cookies $3

• Sugar Cookies $4
  Oatmeal Cookies $8

• Sugar Cookies $2
  Oatmeal Cookies $6

• Sugar Cookies $3
  Oatmeal Cookies $6

Solve:
7x - 3x - 8 = 24

• 8

• -8

• 3.2

• 4

Solve:
3(x - 2) = 18

• 6.7

• 4

• 8

• -4

Solve:
7x + 19 = -2x + 55

• 4

• 14.8

• 8.2

• -4

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

• 2

• 6

• -6

• 7.5

What is the first step in solving for w in the equation 3w + 5 = 14?

• Add 5 to both sides of the equal sign

• Divide by 3 on both sides of the equal sign

• Subtract 5 from both sides of the equal sign

• Multiply by 3 on both sides of the equal sign

Solve for x: 
4x + 1 = 7x - 5

• -1

• 2

• 6/11

• 8

Solve for x:
8x + 2 + 3x + 5 = x + 12

• -1/2

• 2

• -2

• 1/2