Go through the Math in Focus Grade 5 Workbook Answer Key Chapter 5 Practice 2 Using Letters as Numbers to finish your assignments.

## Math in Focus Grade 5 Chapter 5 Practice 2 Answer Key Using Letters as Numbers

**Write an expression for each situation.**

Question 1.

Susan has 10 apples and 6 oranges. How many pieces of fruit does she have?

Answer:

**10 + 6 = 16**

She have 16 pieces of fruits.

Explanation:

Susan has 10 apples and 6 oranges. Add 10 apples with 6 oranges the sum is 16. She have 16 pieces of fruits.

Question 2.

Juan has x apples and 8 oranges. How many pieces of fruit does he have? Give your answer in terms of x.

Answer:

**x + 8**

He have x + 8 pieces of fruits.

Explanation:

Juan has x apples and 8 oranges. Add x apples with 8 oranges the sum is x + 8. He have x + 8 pieces of fruits.

Question 3.

Henry has $18. He spends $2. How much does he have left?

Answer:

**$18 – $2 = $16**

He have $16 left.

Explanation:

Henry has $18. He spends $2. Subtract $2 from $18 the difference is $16.

Question 4.

Katie has m dollars. She spends $5. How much does she have left? Give your answer in terms of m.

Answer:

**(m – 5)$**

She have $m – $5 left.

Explanation:

Katie has m dollars. She spends $5. The expression is $m – $5.

**Write an expression for the situation.**

Question 5.

Hugo has $20. He spends n dollars. How much does he have left? Give your answer in terms of n.

Answer:

**$20 – $n**

He have $20 – $n left.

Explanation:

Hugo has $20. He spends n dollars. He have $20 – $n left.

**Write an algebraic expression for each of the following.**

Example

Add 9 to y.

y + 9 or 9 + y

Question 6.

Add b to 11

Answer:

**b + 11 or 11 + b**

Explanation:

The algebraic expression for Add b to 11 is b + 11 or 11 + b.

Question 7.

Subtract 6 from c

Answer:

**c – 6**

Explanation:

The algebraic expression for Subtract 6 from c is c – 6.

Question 8.

Subtract p from 15.

Answer:

**15 – p**

Explanation:

The algebraic expression for Subtract p from 15 is 15 – p.

Question 9.

12 more than d.

Answer:

**12 > d**

Explanation:

The algebraic expression for 12 more than d is 12 > d.

Question 10.

15 less than g.

Answer:

**15 < g**

Explanation:

The algebraic expression for 15 less than g is 15 < g.

**Evaluate each expression for the given values of y.**

Answer:

Question 11.

y – 12

Answer:

**For y = 25**

y – 12 = 25 – 12 =** 13
For y = 16**

y – 12 = 16 – 12 =

**4**

Explanation:

Place y = 25 in the expression y -12. Subtract 12 from 25 the difference is 13.

Place y = 16 in the expression y – 12. Subtract 12 from 16 the difference is 4.

Question 12.

18 + y

Answer:

**For y = 25 **

18 + y = 18 + 25 =** 43
For y = 16**

18 + y = 18 + 16 =

**34**

Explanation:

Place y = 25 in the expression 18 + y. Add 18 to 25 the sum is 43.

Place y = 16 in the expression 18 + y . Add 18 to 16 the sum is 34.

Question 13.

35 – y

Answer:

**For y = 25 **

35 – y = 35 – 25 =** 10
For y = 16**

35 – y = 35 – 16 =

**19**

Explanation:

Place y = 25 in the expression 35 – y. Subtract 25 from 35 the difference is 10.

Place y = 16 in the expression 35 – y. Subtract 16 from 35 the difference is 19.

**Write each of the following in at least three other ways.**

Example

Question 14.

18 × m _______

Answer:

The three other ways of 6n is **m × 18, 18 groups of n, 18n**.

Question 15.

75 groups of y _______

Answer:

The three other ways of 75 groups of y is **75y, 75 × y, y × 75**.

Question 16.

y groups of 12 _______

Answer:

The three other ways of y groups of 12 is **y12, y × 12, 12 × y**.

**Write an expression for each situation.**

Question 17.

Julio has 4 boxes of pencils. There are 12 pencils in each box. How many pencils does Julio have?

Answer:

**4 × 12 = 48**

Julio have 48 pencils.

Explanation:

Julio has 4 boxes of pencils. There are 12 pencils in each box. Multiply 4 with 12 the product is 48. Julio have 48 pencils.

Question 18.

Tara has k boxes of pencils. There are 10 pencils in each box. How many pencils does Tara have? Give your answer in terms of k.

Answer:

**k × 10 = 10k**

Tara have 10k pencils.

Explanation:

Tara has k boxes of pencils. There are 10 pencils in each box. Multiply k with 10 the product is 10k. Tara have 10k pencils.

**Write an expression for each situation.**

Question 19.

A restaurant divided 20 gallons of lemonade among 4 containers. How much lemonade does each container contain?

Answer:

**20 ÷ 4 = 5**

Each container contains 5 lemonade.

Explanation:

A restaurant divided 20 gallons of lemonade among 4 containers. Divide 20 by 4 the result is 5. Each container contains 5 lemonade.

Question 20.

m gallons of lemonade are distributed equally among 3 people. How much lemonade does each person get? Give your answer in terms of m.

Answer:

**m ÷ 3**

Each person get m ÷ 3 lemonade.

Explanation:

m gallons of lemonade are distributed equally among 3 people. Divide m by 3. Each person get m ÷ 3 lemonade.

Question 21.

Multiply f and 6.

Answer:

**f × 6 = 6f**

Question 22.

Divide m by 5.

Answer:

**m ÷ 5**

Question 23.

Divide 22 by p.

Answer:

**22 ÷ p**

**Evaluate each expression for t = 156.**

Example

2t = 2 × D

= 2 × 156

= 312

Question 24.

\(\frac{t}{6}\) =

Answer:

For t = 156

**t/6 = 156 /6 = 26**

Explanation:

Place t = 156 in given expression t/6. Divide 156 by 6 the result is 26.

Question 25.

16t =

Answer:

For t = 156

**16t = 16 × t = 16 × 156 = 2,496**

Explanation:

Place t = 156 in given expression 6t. Multiply 16 with 156 the product is 2,496.

Question 26.

\(\frac{t}{13}\) =

Answer:

For t = 156

**t/13= 156 /13 = 12**

Explanation:

Place t = 156 in given expression t/13. Divide 156 by 13 the result is 12.

**Write an algebraic expression for each situation.**

Question 27.

A tank has x gallons of water. Ted adds 3 gallons of water into the tank. He pours the water equally into 4 smaller containers. How much water is in each container?

Answer:

Question 28.

Jenny has $15. She buys 2 books that cost m dollars each. How much does she have left?

Answer:

She have **(15 – 2m)$** left.

Jenny has $15. She buys 2 books that cost m dollars each. She have (15 – 2m)$ left.

**Write an algebraic expression for each situation.**

Question 29.

Betty collected 400 food packages for charity. She gave g packages to an orphanage, and distributed the rest equally among 4 charities. How many packages did each charity get?

Answer:

Question 30.

To bake muffins, Matt needs x eggs for every 200 grams of flour. If he used 900 grams of flour, how many eggs did he use?

Answer:

**Write an expression for each situation.**

Example

Subtract 12 from the product of 8 and a.

8 × a – 12 = 8a – 12

Question 31.

Add 14 to the product of 3 and b.

Answer:

**3 × b + 14 = 3b + 14**

Explanation:

The expression for the situation add 14 to the product of 3 and b is 3b + 14.

Question 32.

Divide the product of 7 and d by 5.

Answer:

**7 × d ÷ 5 = 7d ÷ 5**

Explanation:

The expression for the situation divide the product of 7 and d by 5 is 7d ÷ 5.

**Evaluate each expression for x = 5.**

Example

13x – 4 = 13 × 5 – 4

= 65 – 4

= 61

Question 33.

5x + 12 =

Answer:

**For x = 5**

5x + 12 = 5 × 5 +12

= 25 + 12

= **37**

Explanation:

Place x = 5 in the given expression 5x + 12. First multiply 5 with 5 the product is 25. Add 25 to 12 the sum is 37.

Question 34.

20 – 2x =

Answer:

**For x = 5**

20 – 2x = 20 – 2 × 5

= 20 – 10

= **10**

Explanation:

Place x = 5 in the given expression 20 – 2x. First multiply 2 with 5 the product is 10. Subtract 10 from the 20 the difference is 10.

Question 35.

\(\frac{x}{10}\) + 2 =

Answer:

**For x = 5**

x/10 + 2 = 5/10 + 2

= 1/2 + 2

= 0.5 + 2

**2.5**

Explanation:

Place x = 5 in the given expression x/10 + 2. First divide 5 by 10 the result is 1/2which is 0.5. Add 0.5 with 2 the sum is 2.5.

Question 36.

\(\frac{6 x}{5}\) + 12 =

Answer:

**For x = 5**

6x/5 + 12 = (6 × 5)/5 + 12

= 6 + 12

= **18**

Explanation:

Place x = 5 in the given expression 6x/5 + 12. First multiply 6 with 5 the product is 30. Next divide 30 by 5 the result is 6. Add 6 with 12 the sum is 18.

**Fill in the boxes with the correct expressions. In the last box on the right, evaluate each expression for m = 28.**

Example

Question 37.

Answer:

**For m= 28**

3m + 5 = 3 × 28 + 5

= 84 + 5

=** 89**

Explanation:

In the above image we can observe four boxes. Multiply 3 with m the product is 3m. Next add 3m with 5 the sum is

3m + 5.

Place m = 28 in the expression 3m + 5. Multiply 3 with 28 the product is 84. Add 84 with 5 the sum is 89.

Question 38.

Answer:

**For m = 28
**(76 – m) ÷ 2 = (76 – 28) ÷ 2

= 48 ÷ 2

=

**24**

Explanation:

In the above image we can observe four boxes. Subtract m from 76. Next divide 76 – m by 2.

Place m = 28 in the expression (76 – m) ÷ 2. Subtract 28 from 76 the difference is 48. Divide 48 by 2 the result is 24.

Question 39.

Answer:

**For m = 28**

(m + 5) ÷ 11 = (28 + 5) ÷ 11

= 33 ÷ 11

= **3**

Explanation:

In the above image we can observe four boxes. Add m to 5. Next divide m + 5 by 11.

Place m = 28 in the expression (m + 5) ÷ 11. Add 28 with 5 the sum is 33. Divide 33 by 11 the result is 3.

Question 40.

Answer:

**For m = 28**

(m ÷ 14) + 1 = (28 ÷ 14) + 1

= 2 + 1

= **3**

Explanation:

In the above image we can observe four boxes. Divide m by 14. Next add (m ÷ 14) with 1.

Place m = 28 in the expression (m ÷ 14) + 1. Divide 28 by 14 the result is 2. Add 2 with 1 the sum is 3.

Question 41.

Answer:

**For m = 28**

4m ÷ 16 = 4 × 28 ÷ 16

= 112 ÷ 16

= **7**

Explanation:

In the above image we can observe four boxes. Multiply m with 4 the product is 4m. Next divide 4m by 16 the result is 4m ÷ 16.

Place m = 28 in the expression 4m ÷ 16. Multiply 4 with 28 the product is 112. Divide 112 by 16 the result is 7.

**Evaluate each expression for z = 1,256.**

Question 42.

41 z – 39

Answer:

**For z = 1,256**

41 z – 39 = 41 × 1,256 – 39

= 51,496 – 39

= **51,457**

Explanation:

Place z = 1,256 in the given expression 41 z – 39. Multiply 41 with 1,256 the product is 51,496. Subtract 39 from 51,496 the difference is 51,457.

Question 43.

\(\frac{18,661-z}{5}\)

Answer:

**For z = 1,256**

(18,661 – z) ÷ 5 = (18,661 – 1,256) ÷ 5

= 17,405 ÷ 5

= **3,481**

Explanation:

Place z = 1,256 in the given expression (18,661 – z) ÷ 5. Subtract 1,256 from 18,661 the difference is 17,405. Divide 17,405 by 5 the result is 3,481.

Question 44.

\(\frac{13 z}{8}\) + 7,389

Answer:

**For z = 1,256**

(13 z ÷ 8) + 7,389 = (13 × 1,256 ÷ 8) + 7,389

= (16,328 ÷ 8) + 7,389

= 2,041 + 7,389

= **9,430**

Explanation:

Place z = 1,256 in the given expression (13 z ÷ 8) + 7,389. Multiply 13 with 1,256 the product is 16,328. Divide 16,328 by 8 the result is 2,041. Add 2,041 with 7,389 the sum is 9,430.

Question 45.

\(\frac{9 z-1,476}{42}\)

Answer:

**For z = 1,256**

(9z – 1,476) ÷ 42 = (9 × 1,256 – 1,476) ÷ 42

= (11,304 – 1,476) ÷ 42

= 9,828 ÷ 42

= **234**

Explanation:

Place z = 1,256 in the given expression (9z – 1476) ÷ 42. Multiply 9 with 1,256 the product is 11,304. Subtract 1,476 from 11.304 the difference is 9,828. Divide 9,828 by 42 the result is 234.