Math on the Mind
Simplify each expression.
1. 50 – 4 • 3 + 6
44
2. 3(6 + 22) – 5
25
3. 2[(1 + 5)2 – (18 ÷ 3)]
60
Evaluate each expression.
4. 4x + 3y for x = 2 and y = 4
20
5. 2 • p2 + 3s for p = 3 and s = 11
51
6. xy2 + z for x = 3, y = 6 and z = 4
112
Evaluating Formulas
Unit 1, Lesson 3
Evaluating Expressions
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Use the expression r + 0.12m to calculate the cost
of renting a car. The basic rate is r. The number of
miles driven is m.
• The basic rate is $15.95. The car is driven 150 mi.
• The basic rate is $32.50. The car is driven 257 mi.
A carpenter wants to build three decks in the shape of regular
hexagons. The perimeter p of each deck will be 60 ft. The
perpendicular distance a from the center of each deck to one
of the sides will be 8.7 ft.
Use the formula A = 3 ( pa) to find the total area of all three decks.
2
 60  8.7 
3

 2 
= 783
The total area of all three decks is 783 ft2.
The price for your annual visit at the dentist is
calculated according to the formula 50+100n,
where n is the number of cavities the dentist finds.
What will be the cost of the visit if the
dentist finds 2 cavities?