Review of Algebra

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

Last season two running backs on the Steelers football team rushed a combined total of 1550 yards.  One rushed 4 times as many yards as the other.  Let x and y represent the number of yards each individual player rushed. Which system of equations could be used? 

• x + y = 1550
  y  = 4x

• x + y = 1550
  y = x + 4

• y - x = 1550
  y = 4x

• y = 1550 + x
  y = x + 4

Flagship Cinemas sells movie tickets that are $4 for matinees and $7 for regular. One night, the theater sells 578 tickets and collects $3365 in total ticket sales.
Which system best represents the situation?

• 4x + 7y = 578
  x + y = 3365

• 4x + 7y = 3365
  x + y = 578

• 4y + 7x = 578
  x + y = 3365

• 4y + 7x = 3365
  x + y = 578

What should we do SECOND to solve for x? y=mx+b

• Add

• Subtract

• Multiply

• Divide

Which operation will we use to solve: C = 2πr, for r?

• Add

• Subtract

• Multiply

• Divide

Solve:
C = 2πr, for r

• C + 2π = r

• C - 2π = r

• 2πC = r

Which operation will you use to solve a = b + c , for c

• Add

• Subtract

• Multiply

• Divide

Solve a = b + c   , for  c

• c = a - b

• c = a + b

• c = ab

• c = a / b

Which operation will you use to solve for r in d=rt?

• Add 

• Subtract 

• Multiply 

• Divide

What is slope-intercept form?

• Ax+By=C

• y-y₁=m(x-x₁)

• x+y=b

• y=mx+b