Download Homework: Variables and Expressions

CCGPS Coordinate Algebra
Name_________________
Date___________
1. Write two written expressions for each algebraic expression.
a) 4x + 9
b) 2(x+5)
c) x – 6
2. Write an algebraic expression for the given written expression.
a) a number less than fifteen
b) three times the difference of a number and seven
c.) ten times the sum of a number and eleven
3. (Review) Indicate with math symbols what operations are being described by the given word(s).
Use +, -, •, ÷ symbols.
1. sum _____
2. product _______
3. decreased by ______
4. quotient _______
5. increased by _____
6. difference _________
7. more than ______
8. less than _______
9. twice something ______
4. The written expression “the sum of a number and two, divided by nine” can be written two ways.
Write two algebraic expressions for this written expression. Hint: One is using a fraction bar.
5. Match the written expressions with the correct algebraic expression.
A) Four times the difference of a number and two
B) The sum of a number and three times five
C) Two less than the product of four and a number
D) The product of five and number increased by three
Algebraic Expression
5( p  3)
5p  3
4p  2
4( p  2)
6. The sum of two consecutive integers is 127. What are the two numbers?
First Integer
Second Integer
CCGPS Coordinate Algebra
7. A rectangle box length is 3 feet shorter than it is wide. The perimeter is at most 18 feet.
Write and solve for the largest possible dimension (length and width) for the rectangle.
Length
Width
8. New Direction makes 3 times as much money as Taylor Swift. Taylor swift makes $25 more
than Justin Bieber. Together they have $600. How much money does each of them have?
Who
Amount of Money
9. Three consecutive numbers total 178. What are the three numbers?
First Integer
Second Integer
Third Integer
10. The perimeter of a rectangle is 42 meters. The length is 3 meters less than twice the width
find the length and width.
Length
Width
CCGPS Coordinate Algebra
Name_________________
Date___________
ANSWER KEY
1. Write two written expressions for each algebraic expression.
a) 4x + 9
b) 2(x+5)
Answers will vary:
Four times a number plus nine
The product of four and number
increased by nine
c) x – 6
Answers will vary:
Two times the sum of a number and five.
The sum of a number and five, multiplied
by two
Answers will vary:
Six less than a number
The difference of a number and six
2. Write an algebraic expression for the given written expression.
a) a number less than fifteen
b) three times the difference of a number and seven
3(p – 7)
15 - x
c.) ten times the sum of a number and eleven
10(n + 11)
3. (Review) Indicate with math symbols what operations are being described by the given word(s).
Use +, -, •, ÷ symbols.
+
1. sum _____
•
2. product _______
3. decreased by ______
÷
4. quotient _______
+
5. increased by _____
6. difference _________
+
7. more than ______
8. less than _______
•
9. twice something ______
4. The written expression “the sum of a number and two, divided by nine” can be written two ways.
Write two algebraic expressions for this written expression. Hint: One is using a fraction bar.
(x + 2) ÷ 9
x2
9
5. Match the written expressions with the correct algebraic expression.
A) Four times the difference of a number and two
4( p  2)
B) The sum of a number and three times five
5( p  3)
C) Two less than the product of four and a number
4p  2
D) The product of five and number increased by three
5p  3
Algebraic Expression
5( p  3)
5p  3
4p  2
4( p  2)
CCGPS Coordinate Algebra
6. The sum of two consecutive integers is 127. What are the two numbers?
First Integer
63
Second Integer
64
7. A rectangle box length is 3 feet shorter than it is wide. The perimeter is at most 18 feet.
Write and solve for the largest possible dimension (length and width) for the rectangle.
Length
3
Width
6
8. New Direction makes 3 times as much money as Taylor Swift. Taylor swift makes $25 more
than Justin Bieber. Together they have $600. How much money does each of them have?
Who
Amount of Money
New Direction
375
Taylor Swift
125
Justin Bieber
100
9. Three consecutive numbers total 177. What are the three numbers?
First Integer
58
Second Integer
59
Third Integer
60
10. The perimeter of a rectangle is 42 meters. The length is 3 meters less than twice the width
find the length and width.
Length
13
Width
8