Foundations in Algebra Review

2x - 3 + 4x = 27

• 12

• 4

• 5

• 15

Solve

• 5

• 2

• No Solution

• Infinitely Many Solutions

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

Find the error in the problem below
19 - 2k = 3k - 1
     +3k   +3k
19 + 1k = -1
-19           -19
k = -20

• They should have divided by 1 for the last step

• They should add 19 instead of subtracting 19

• I can not find an error

• Instead of adding 3k they should subtract 3k

Find the Error
What error did the student make when solving the equation:
1/5x + 6 = 3/5x + 5
1x + 6 = 3x + 5
-2x + 6 = 5
-2x = -1
x = 1/2

• The student found an incorrect common denominator

• The student did not multiply all terms by the common denominator

• The student did not use opposite operations appropriately

• The student did not correctly eliminate the variable from one side of the equation

-(n - 8) = -2

• 6

• 10

• -10

• -6

Solve

• 2

• -8

• No Solution

• Infinitely Many Solutions

Which of the following inequalities would require you to flip the sign when solving?

• 2x < 3

• 3x > - 9

• -4x ≥ 10

• 5x ≤ 15

Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile.  Katie has no more than $10 to spend on the taxi ride.

• 1.75 + 0.65m < 10

• 1.75 + 0.65m > 10

• 1.75m + 0.65 < 10

• 1.75m + 0.65 > 10

-13t > 26

• t > -2

• t > 2

• t < 2

• t < -2