AAAAA Expressions temp file AAAAA

 

Evaluate each of the following expressions when y = 12.

9. 21 + y 10. y – 7 11.
12. 4y 13. 14.
15. y + y + 3 16. 2y + 5 17. 30 – 2y
 
HW – Expressions (A)

Write an expression for each of the following situations.

1. Steve has $7 more than Duane. If Steve has $m, how much money does Duane have‌
2. Steve has $7 more than Duane. If Duane has $m, how much money does Steve have‌ Give answer in terms of m.
3. A boy is x years old, and he is 4 years older than his younger brother is. How old is the younger brother‌
4. A class has m students, but 5 students are absent today.
a. How many students are present‌
b. If m = 28, how many students are present‌
5. Jamal is 12 years old. How old will he be x years from now‌
6. Paula is 17 inches shorter than Randy. If Randy is h inches tall, how tall is Paula‌
7. Which of the letters used in the above situations stand for values that could be a fraction or decimal‌
HW – Expressions (B)

Write an expression for each of the following situations.

1. Jamal is 12 years old. How old was he be x years ago‌
2. Sammy and Tammy have $63 altogether.
a. If Tammy has $d, the how much does Sammy have‌
b. If d = 18, how much does Sammy have‌
3.

Two pieces of wood are laid end-to-end. What is the total length of the wood‌
4.

Two pieces of wood are laid end-to-end. Their total length is 23 cm. If the longer piece of wood is n cm, what is the length of the shorter piece‌
5. Two numbers have a sum of 20. If the smaller number is n, what is the larger number
6. Which of the letters used in the above situations stand for values that could be a fraction or decimal‌
HW – Expressions (C)

1. Imagine a stack of identical coins.
a. Each coin is 2 millimeters thick. What is the height of a stack of n coins‌
b. Each coin is t millimeters thick. What is the height of a stack of 7 coins‌
c. Each coin is t millimeters thick. What is the height of a stack of n coins‌

2. Each piece of the railroad track is 8 inches long. Several pieces of track together form one long, straight track.
a. Write an expression for the length of the track if there are p pieces.
b. Write an expression for the length of the track if there are p pieces and each piece is y inches long.

3. Five identical cookies cost a total of $m. How much does each cookie cost‌

4. One stick is x inches long. Another stick is half as long. How long is the shorter stick‌

HW – Expressions (D)

Find the value of each of the following expressions when n = 6.
1. n + 4
2. 10 + n
3. 15 – n
4. n – 6
5. 4 n
6. 10 n
7.
8.
9.
10. n + n + n
11. 2n + 7
12.
[Hint: Start with the value of the variable, multiply by 3 then divide by 2.]

HW – Expressions (E)

Write an expression for each situation.

1. You buy a pencil that costs 25 cents and a pen that costs n cents. What is the total cost‌
2. Anna and BrianÕs combined weight is 125 pounds. If Anna weighs h pounds, how heavy is Brian‌
3. A bowling ball weighs x pounds. How heavy is it if you have 6 of these bowling balls‌
4. A stack of 5 identical books measures w inches tall. How tall is each book‌
5. Peter is now 11 years old. How old will he be d years from now‌  
6. A stick is 28 inches long. It is cut into two pieces. If one piece is k inches long, how long is the other‌
           
HW – Expressions (F)

Write an expression for each situation.

1. Gumballs cost 12 cents each. What is the total cost if you buy g gumballs‌  
2. A rope 24 feet long is cut into m pieces of equal length. How long is each piece‌
 
3. A tree is 20 feet tall. How tall will it be after it grows another y feet‌
4. A bicycle costs m dollars. If itÕs price is then reduced by $10, what will be its new price‌  
5. What is the perimeter of a pentagon with each of its sides being k inches long‌
6. 6 girls equally share m dollars. How much does each girl get‌  
           

HW – Expressions (G)

Evaluate each of the following expressions for a = 3, b = 4, and c = 5.

1. a + b + c =

2. a + bc =
3. abc =
4. (a + b) c =
5.
6. 8a =
7. b – (ca) =
8. 2b + 5a =

HW – Expressions (H)

Simplify each of the following expressions. Substitute a value into your new expression AND the original expression to verify that you have simplified correctly.

Example

The given expression My simplified expression
5a + 4 – 2a + 1 3a + 5
To check, letÕs substitute a = 4
5(4) + 4 – 2(4) + 1
20 + 4 – 8 + 1
24 – 8 + 1
16 + 1
17
3(4) + 5
12 + 5
17
Since both columns equal 17, we know that 3a + 5 is correct.
The given expression Simplified expression
1) 5a + 4a  
2) 8c – 5c  
3) 7k – 2k + k  
4) 3x + 6 – x  
5) 7m + 7 – 2m  
6) 5s + 10 + 2s  
HW – Expressions (I)

Simplify each of the following expressions. Substitute a value into your new expression AND the original expression to verify that you have simplified correctly.

Example

The given expression My simplified expression
5a + 4 – 2a + 1 3a + 5
To check, letÕs substitute a = 4
5(4) + 4 – 2(4) + 1
20 + 4 – 8 + 1
24 – 8 + 1
16 + 1
17
3(4) + 5
12 + 5
17
Since both columns equal 17, we know that 3a + 5 is correct.

The given expression Simplified expression
1) 2y + 5 + 3y – 2  
2) 9 + 4m – 3m – 8  
3) 8r + 6 – 2r – 6  
4) 8p – 3pp + 2  
5) 8 + 8w + 5 – 2w  
6) 7h + h – 4hh  
HW – Expressions (J)

Write an expression for each situation.

1. There are m marbles in a bag. They are separated into 4 equal groups. Write a variable expression to show the number of marbles in each group.
2. You have $25 and then give d dollars of it to your brother. How much money do you have left‌
     

Evaluate each of the following expressions if n = 8.
3. 8 + n
4. 20 – n
5. 4n
6.
7. 3(n + 4)
8. 33 – 3n

HW – Expressions (K)

Simplify the following expressions.

1) x + x + x =
2) 3x + 4x =
3) 6p – 4p =
4) 2p + 2pp =
5) 4r – 2r + 3r =
6) 5ff – 3f =
7) 3c – 3c + c =
8) 5k + 7 – k =
9) 6n + 3 + n + 2 =
10) 7g – 2g + 2 =
11) 10x + 5 – 4x – 2 =
12) 3h + 8 – 3h + 2 =

HW – Expressions (L)

Find the value of each of the following expressions when y = 4. Simplify all answers as fractions.

1) 21 – y
2) y + 25
3) 3y + 2
4) 3y
5)
6)
7)
8)
9)
10)
11)
12)

HW – Expressions (M)

1. The admission fee to a bird park is y dollars. The admission fee to an amusement park is $1 more.
a. Express the admission fee to the amusement park in terms of y.

b. If the admission fee to the bird park is $8, find the admission fee to the amusement park.

2. A rope is x meters long. An iron rod is 3 times as long as the rope.
a. Express the length of the iron rod in terms of x.

b. If the rope is 9 meters long, how long is the iron rod‌

3. Henry is x years old. Betty is 3 times as old as Henry. Peter is 4 years older than Betty.
a. Express PeterÕs age in terms of x.

b. If Henry is 4 years old, how old is Peter‌

4. Stacy bought some candy bars at $2 each. She gave the cashier $50 and received $y change.
a. Express the number of candy bars Stacy bought in terms of y.

b. If y = 38, how many candy bars did Stacy buy‌

HW – Expressions (N)

Simplify each of the following expressions.
1. 5a + 4a + 5a + 4a
2. 8c + 5 + 8c + 5
3. 7k + 2k +5 + k - 2

For each figure below, write an expression on one line that shows the perimeter. Then simplify the expression.
4.

5.

6.

HW – Expressions (O)

For each figure below, write an expression on one line that shows the perimeter. Then simplify the expression.

1.

2.

Evaluate each of the following expressions if n = 9. Simplify all fractions rather than dividing.
3.
4.
5.

HW – Expressions (P)

Write a variable expression for each of the following situations.

1. Gumballs cost 12 cents each. What is the total cost if you buy g gumballs‌
2. A rope 24 feet long is cut into m pieces of equal length. How long is each piece‌
3. A tree is 4 feet tall. How tall will it be after it grows another y feet‌
4. A bicycle costs m dollars. If itÕs price is then reduced by $20, what will be its new price‌
5. What is the perimeter of a pentagon with each of its sides being k inches long‌
6. 5 girls equally share m dollars. How much does each girl get‌

HW – Expressions (Q)

Simplify the following expressions. You must draw the bags and marbles.
1. x + x + x – x =
2. 3x + 3 + 4x =
3. 6p + p + 4 =
4. 6 + 3n – 2 – 2n =
5. 4r – 2r + 1 =
6. h + 6 – 4 + h =

HW – Expressions (R)

Evaluate each of the following expressions when y = 4. Reduce all answers that are fractions.
1. 18 + y
2. y – 4
3.
4. 3y
5.
6.

HW – Expressions (S)

Do you remember that to find the area of a rectangle, you need to multiply the base by the width‌

The area of this rectangle is 20 square units, because 4 x 5 = 20.

Find the shaded area of each of the following rectangles. For some rectangles you will write an expression for the area instead of a numerical answer.

1.
2.
3.
4.
5.

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