## 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 – 3p – p + 2 5) 8 + 8w + 5 – 2w 6) 7h + h – 4h – h
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. 