1. 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).
Show all steps!

2. Terms
Algebraic Expression- A mathematical phrase involving at least one variable. Also can contain numbers and operation symbols.
Coefficient- The number multiplied by the variable.
Constant- The number that does not change or lose its value in an expression.

3. 30n+6 algebraic expression 30 is the coefficient n is the variable
EXAMPLE OF TERMS
30n+6 algebraic expression
30 is the coefficient
n is the variable
6 is the constant

4. Problem #1
Given the formula P = k2 w,
find P if k = 5 and w = -3.

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

6. If x = 1 and y = -2, which expression has a value of 3? x = y 2. x - y
Problem 3
If x = 1 and y = -2,
which expression has a
value of 3?
x = y 2. x - y
3. xy y - x

7. Problem #4
If a = 1 and b = -2,
find the value of (a+b)2.

8. Use the formula V = x 2h, to find V when x = 6 and h = 2.
Problem #5
Use the formula V = x 2h, to find V when x = 6 and h = 2.

9. Evaluate the expression
Problem #6
Evaluate the expression
(6a)2b
if a = 2 and b = -1.

10. Problem #7
Find 3a - 4b
if a = -2 and b = 1.

11. Problem #8
Find the value of
(x2 - 5x + 4)
if x = 7.

12. Problem #9
Evaluate 5a2 - b
when a = -2 and b = 3.

13. Find the value of the expression 3x3
Problem #10
Find the value of the expression 3x3
when x = -2

14. Problem #11
What is the value of
r2s if r = 5 and s = -2?

15. Evaluate the expression
Problem #12
Evaluate the expression
3x2 + y
if x = 1 and y = -3.

16. Find the value of the expression 2xy3
Problem #13
Find the value of the expression 2xy3
if x = 3 and y = -2.

17. Problem #14
Find the value of 5x2 if
x = -3.

18. If x = -3 and y = 2, find the value of (xy)2.
Problem #15
If x = -3 and y = 2, find the value of (xy)2.

19. Problem #16
If x = 3 and y = -2,
find the value of 4xy2.

20. Problem #17
Find the value of
3(ab)0
if a = 2 and b = -1.

21. Problem #18
Evaluate 2x2y
if x = 3 and y = -1.

22. Problem #19
Find the value of a2 – b
if a = 3 and b = -4.

23. Problem #20
Find the value of
a2b – ab2
if a = 3 and b = -4.