ALGEBRAIC EXPRESSIONS

Step 1 Write the problem.

Step 2 Substitute in the values for the unknown (variable).Step 3 Use PEMDAS (remember to go left to right).

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TermsTerms

Algebraic Expression-Algebraic Expression- A A mathematical phrase involving at mathematical phrase involving at least one variable. Also can contain least one variable. Also can contain numbers and operation symbols.numbers and operation symbols.

Coefficient-Coefficient- The number multiplied The number multiplied by the variable.by the variable.

Constant-Constant- The number that does not The number that does not change or lose its value in an change or lose its value in an expression.expression.

EXAMPLE OF TERMSEXAMPLE OF TERMS

30n+6 30n+6 algebraic algebraic expressionexpression

30 is the 30 is the coefficientcoefficientn is the n is the variablevariable6 is the 6 is the constantconstant

Problem #1

Given the formula P = k2 w,

find P if k = 5 and w = -3.

Problem #2

If V = lwh, what is the value of V when l = 2, w = 3, and h = 4x?

Problem 3

If x = 1 and y = -2,which expression has avalue of 3?1. x = y 2. x - y3. xy 4. y - x

Problem #4

If a = 1 and b = -2,find the value of (a+b)2.

Problem #5

Use the formula V = x 2h, to find V when x = 6 and h = 2.

Problem #6

Evaluate the expression

(6a)2b

if a = 2 and b = -1.

Problem #7

Find 3a - 4b

if a = -2 and b = 1.

Problem #8

Find the value of (x2 - 5x + 4)

if x = 7.

Problem #9

Evaluate 5a2 - b when a = -2 and b = 3.

Problem #10

Find the value of the expression 3x3

when x = -2

Problem #11

What is the value of

r2s if r = 5 and s = -2?

Problem #12

Evaluate the expression

3x2 + y

if x = 1 and y = -3.

Problem #13

Find the value of the expression 2xy3

if x = 3 and y = -2.

Problem #14

Find the value of 5x2 if x = -3.

Problem #15

If x = -3 and y = 2, find the value of (xy)2.

Problem #16

If x = 3 and y = -2,

find the value of 4xy2.

Problem #17

Find the value of

3(ab)0

if a = 2 and b = -1.

Problem #18

Evaluate 2x2y

if x = 3 and y = -1.

Problem #19

Find the value of a2 – b

if a = 3 and b = -4.

Problem #20

Find the value of

a2b – ab2

if a = 3 and b = -4.