Download PRE-ALGEBRA TOPIC 2 LESSON 4A SIMPLIFYING VARIABLE

PRE-ALGEBRA
TOPIC 2 LESSON 4A
SIMPLIFYING VARIABLE EXPRESSIONS
Review Problems
Write a variable expression for each phrase.
1) y less than 5
2) the number of feet in y yards
3) the product of m and n - 2
Simplify
4) 12 · 3 ÷ 9 + 5
5) - 3 - ( - 15)
7) Evaluate 3y - z + 10x
4
6) - 12 + ( - 17)
for x = 2, y = 5, and z = 9
8) Write a rule for the pattern below and find the next two numbers in the pattern.
3, 6, 5, 10, 9, ____, ____
Rule _______________________________________________________________
Simplify using mental math.
9) 4 · 13 · 25
11) 2 · 3 · 4 · 5
10) 217 + 545 - 17
Use the Distributive Property to multiply each expression
12) 6(h - 4)
13) (p + 3)5
14) - 3(x + 8)
15) (4 - y)( - 9)
Current Topic Problems
Simplify each expression
16) 16 + 7y - 8
17) 18m - 7 + 12m
19) 2x - 9y + 7x + 20y
20) 3(9k - 4) - 4(5n - 3)
18) 5(3t) - 7(2t)
Questions and Word Problems
21) What is the difference between a numerical expression and a variable expression?
Explain using complete sentences.
22) Your friend simplified x + y + xy and got 2xy. In complete sentences, explain the
error your friend made.