QUESTION 1

Solve for X:
\[ (-3X) + 40 = 38 \]

QUESTION 2

Solve for X:
\[ 5(X + 6) = 50 \]

QUESTION 3

Solve for X:
\[ \left(\frac{1}{4}\right)X + 24 = 36 \]

QUESTION 4

Solve for X:
\[ \left(-\frac{3}{4}\right)X + 2 = \left(\frac{1}{2}\right)X + 6 \]

QUESTION 5

Solve for X:
\[ 3X + 14 = 6X + 11 \]

QUESTION 6

Using substitution, determine if the given value is the solution to the equation:
\[ \left(\frac{2}{3}\right)X + 20 = 100 ; X = 120 \]

A. Yes
B. No

QUESTION 7

Determine if X = 4 is the solution to the equation:
\[ (-16X) - 34 = 30 \]

A. Yes
B. No

QUESTION 8

Determine if X = 70 is the solution to the equation:
\[ 3X - 72 = (-2) + X \]

A. Yes
B. No

QUESTION 9

Tony and Kara were keeping track of the ball game. At the end of the game, Tony thought that the home team had scored 5 runs, but Kara thought they scored 3 runs. The announcer said that the home team's final score was the same as the solution to the equation:
\[ 45X - 16 = 5X + 104 \]

Who has the correct score?

A. Tony
B. Kara
C. Neither

QUESTION 10

Michelle wanted to buy a small bag of popcorn. There were two signs by the popcorn bin. One sign said that the large popcorn bag costs $1.50. The other sign listed the small popcorn bag, but the price was missing. The price of the small popcorn bag is the same as the solution to the equation:
\[ 4(X + 7) = 30 \]

What is the price of the small popcorn bag?