Evaluate Algebraic Expressions
4-3
Evaluate each expression.
- 56 p(qr), when p3, q4.2,
and r5.1 - 15 cj^3 , when c6 and j 5
Some students are visiting a science
museum. They pay $7 per student and
a group fee of $25. Write an algebraic
expression for the total cost of the trip.
Let srepresent the number of students.
total students’ group
cost plus fee
$7s $25
If there are 124 students going on the trip,
what is the total cost they will pay for the trip?
To find the total cost, evaluate the
expression $7s$25, when s124.
$7s$25
$7• 124 $25 Replace swith 124.
$868 $25 Simplify using the order of operations.
$893
The students will pay a total cost of $893.
Study these examples. Evaluate each expression for the values given.
7 3 x^3 y, when x 2
and y 4
7 3 • 23 4 Replace xwith 2 and ywith 4.
7 3 • 8 4 Simplify using the order
7 24 4 of operations.
31 4
27
, when a4, b0.3,
and c0.2
280
28
0.1
12 42
0.30.2
12 a^2
bc
Replace awith 4, bwith 0.3,
and cwith 0.2.
Simplify using the order
of operations.
- (x1)^2 yz, when x3,
y8.8, and z 4 - (de9)^2 14 f, when d8,
e45, and f 2
Remember:
To evaluate an expression
is to find its value.
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