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Algebraic expression - a collection of

numbers, variables, operations, and grouping

symbols Examples 3x 4x 6

7x 3

Algebraic expressions in situations Area of a

rectangle A lw A area l

length w width Interest earned

I Prt I interest P principal r

interest rate t time (years)

Distance D rt D

distance r rate t time

Evaluate the algebraic expression.

- 2x 1, when x 4
- 2(4) 1 (substitute 4 for x)
- 8 1
- 9

- 2r s 4, when r 4 and s 5
- 2(4) 5 4 (substitute)
- 8 5 4
- 7

- (a 2) 4a, when a 4
- (4 2) 4(4) (substitute 4 for a)
- 2 16
- 18

- 3x(4 x), when x 2
- 3(2)(4 2) (substitute 2 for x)
- 6(6)
- 36

Evaluate the algebraic expression.

- x (3y 4), when x 6 and y 2
- 6 3(2) 4 (substitute)
- 6 6 4
- 6 2
- 3

- xyz - 2xy 3yz
- when x 1, y 2, z 3
- 1(2)(3) - 2(1)(2) 3(2)(3)
- 6 - 4 18
- 20

8.

7.

- A football field is 110 meters long and 49 meters

wide. How many - square meters of artificial turf are needed to

cover the field?

Area of a rectangle A lw A 110(49) A 5390

m2

- A car traveled for 2 hours at a constant speed of

58 miles per - hour. How far did the car travel?

Distance D rt D 58(2) D 116 miles

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