Download Algebra I - Chapter 1 Review Mr. Regen Name __________________

Algebra I - Chapter 1 Review
Name __________________
Mr. Regen
Section______________
Date________
Rules for Operations with Signed Numbers
Addition
Subtraction
Multiplication
Division
Same
Sign
Different
Sign
For the following examples, tell what operation is being performed, and if the signs are the same or
different, then find the solution.
Examples: a.
–5 + -6 =
Operation:_________
Signs_________
d. –5 + 6 =
Operation:_________
Signs_________
g. –5  6 =
b. – 5 – -6 =
c. –5 – 6 =
Operation:_________
Signs_________
Operation:_________
Signs_________
e. –5(-6) =
f. 6(-5) =
Operation:_________
Signs_________
Operation:_________
Signs_________
h. –5  -6 =
Operation:_________
Signs_________
Operation:_________
Signs_________
Order of Operations: ____________________
Simplify:
-6 + 5(4 – 8)
-(-10 + -4)  7
2.4 + (-3.6) – 2(1.2)
Solve the following problem using the distributive property. Solve it step-by-step and include
comments for each step.
-6 – 3[5 + (-2)]
Comments
Step 1.
_________________
Step 2.
_________________
Step 3.
__________________
Evaluating Expressions
Evaluate when x= 3 and y = -2
a.
-5 + x
b.
y2
c.
-y2
d.
xy – 6
e.
(2 + x) – y
f.
(-y)2
Identify the coefficients, variables and exponents for the following terms:
Term
8y2
y8
-2x
3a2x3
Coefficient
Variable
Exponent
Like Terms: Must have the same _________________ and same ______________
When combining like terms, KEEP the __________ and ADD the _______________.
Simplify the expressions:
a. 6x –5 + (4x + 3)
b. 3x –1 – (4x –8)
c. –5 +2x -4(3 - x)