Chapter 1 Notes/Review A
Name___________________________
Date_______________Hour_________
Words and their symbols:
+
x or ●
÷
=
Write an algebraic expression for each verbal expression.
1.
8 less than n ______________________
3. the product of 6 and the sum of 3 and 20
5. the quotient of 18 and the sum of 2 and d
2. the product of x and 4
_______________________
4. the difference of m and 15
__________________________
__________________________
6. Corey’s motorcycle gets 35 miles per gallon of gasoline. Write an expression for how
many miles the motorcycle can travel with g gallons of gasoline.
_______________________
7.
Paulette buys a bag of candy for a party. The bag contains 150 pieces of candy.
Write an expression for the number of pieces each person gets if there are p
people at the party.
_______________________
8. Sophie’s math class has 6 fewer boys than girls, and there are g girls. Write an expression
for the number of boys.
_______________________
9. A computer printer can print 10 pages per minute. Write an expression for the number
of pages the printer can print in m minutes.
_______________________
Evaluate each expression for r  8, s  2, and t  5.
10. st
____________________________
10. s●t
____________________________
8. r  s
___________________________
11. r - s
___________________________
9. s  t
___________________________
12. t - s
___________________________
Properties of Exponents – Review
53 is the same as 5●5●5
=
-53 is the same as - 5●5●5
=
(-5)3 is the same as -5●-5●-5 =
Evaluate the expression.
 2
15.  
 5
3
13. (1)
6
________________________
16. (1.5)2
________________________
14. 1
6
________________________
17. 43
________________________
_________________________
18. 104
_________________________
Square Roots:
√𝒙𝟐
the square root of a perfect squared number is the number itself.
√𝒙𝟐
=x
√𝟒 = √𝟐𝟐
=2
What number is being squared under the radical? That is the square root of the number.
- √𝟐𝟓 =
√𝟏𝟔 =
√𝟖𝟏 =
Evaluate each expression.
19.
144
________________________
22.
196
________________________
20.  36
________________________
23.  64
________________________
21.
1
49
_________________________
24. 
4
25
_________________________
Chapter 1 Notes/Review B
Types of numbers.
Symbol
Natural
Name___________________________
Date_______________Hour_________
Definition
Example
Whole
Integers
Rational
Real
Write the classification of number for each of the following.
1.
5
_______________
5.
49
_______________
3
11
2. -8
3. √5
4.
________________
_________________
_________________
6. 𝜋
7. 0
8. .5757575757….
________________
________________
_________________
Order of operations.
PEMDAS:
Remember, fractions are like having an expression divided by an expression and need parenthesis inserted before
entering the values into your calculator!
Example:
16  4
must be entered as (-16 + 4) ÷ (2(√13 − 4)) =____________
2( 13  4)
Evaluate the following expressions using the appropriate order of operations.
14  8
2 • 2  1
9. 18  12  42
10. 2[7  6(3  5)]
11. 7  (24  8)
12.
________________
________________
________________
__________________
Only combine like terms when simplifying expressions. Don’t forget to distribute when necessary!
13. 9t  4t 2  12t  15t 2
14.
4( x  9)  5x
_____________________
________________________
Ordered pairs are always (x, y)…the horizontal coordinate then the vertical coordinate.
II
I
III
IV
The quadrants start in the upper right corner and work counter clockwise.
To graph an equation or a function, you should generate ordered pairs using a t-table and then plot the ordered pairs
on the graph.
Example: Generate ordered pairs for y  x 2  1. Use x  2, 1, 0, 1, and 2 for the input values (domain). Then graph
the ordered pairs and describe the pattern.
Input
Output
Ordered
Pair
x
y
(x, y)
Create a t-table and generate five ordered pairs for each function.
Graph the ordered pairs and describe the pattern.
15. y 3x  5
16. y  2x 2