Linear Problem Solving

Solve the proportion shown for the given variable.

• n = 5/2

• n = 20

• n = 10

• n = 338/5

Solve the problem:  
A car is traveling at a constant speed of 50 miles per hour. The formula for the distance traveled atthe end of t hours is f(t) = 50t. Which variable is the output?

• Speed

• Hours

• Distance Traveled

Solve the problem:  
A particular type of pen costs 55 cents. If n represents the number of pens purchased, the formulafor the cost is f(n) = 55n. Which is the independent variable?

• Total Cost

• Number of Pens

• Cost of each pen

Solve the equation for x.
3(2x - 3) = 5(x + 3)

• 24

• 6

• 9

• -6

Solve the equation for x.
41(x - 164) = 82

• 166

• 162

• 164

• 82

Solve
Matt and Ming are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Matt sold 3 small boxes of oranges and 14 large boxes of oranges for a total of $203. Ming sold 11 small boxes of oranges and 11 large boxes of oranges for a total of $220. Find the cost each of one small box of oranges and one large box of oranges.

• The small box of orange cost $14 and the large cost $8

• The small box of orange cost $8 and the large cost $14

• The small box of orange cost $13 and the large cost $7

• The small box of orange cost $7 and the large cost $13

Solve:
The sum of two integers is 51. The larger integer is 3 more than twice the smaller integer. Find the integers.

• The integers are 14 and 38

• The integers are 14 and 37

• The integers are 15 and 36

• The integers are 16 and 35