Go through the Math in Focus Grade 5 Workbook Answer Key Chapter 5 Practice 4 Inequalities and Equations to finish your assignments.

## Math in Focus Grade 5 Chapter 5 Practice 4 Answer Key Inequalities and Equations

**Complete with >, <, or =.**

Question 1.

For y = 3, 6y 11.

Answer:

Here **y = 3**

6y = 6 x 3 = **18**

Explanation:

We know that y = 3, multiply 3 with 6 the product is 18. Place 18 instead of 6y. Now compare both the numbers 18 and 11. The number 18 is greater than 11. So, place’ >’ symbol in the above circle.

Question 2.

For y = 6, 6y 36.

Answer:

Here y = 6

6y = 6 x 6 = **36
**Explanation:

**We know that y = 6, multiply 6 with 6 the product is 36. Place 36 instead of 6y. Now compare both the numbers 36 and 36. The number 36 is equal to 36. So, place ‘=’ symbol in the above circle.**

Question 3.

For y = 4, 6y 26.

Answer:

Here y = 4

6y = 6 x 4 = **24**

Explanation:

Here we know that y = 4, multiply 4 with 6 the product is 24. Place 24 instead of 6y. Now compare both the numbers 24 and 26. The number 24 is less than 26. So, place ‘< ‘ symbol in the above circle.

Question 4.

For y = 5, 6y 24.

Answer:

Here y = 5

6y = 6 x 5 = **30**

Explanation:

We know that y = 5, multiply 5 with 6 the product is 30. Place 30 instead of 6y. Now compare both the numbers 30 and 24. The number 30 is greater than 24. So, place ‘>’ symbol in the above circle.

**Complete with >, <, or = for x = 8.**

Question 5.

3x 20

Answer:

X = 8

3X = 3 x 8 = **24
**

Explanation:

We know that X = 8, multiply 8 with 3 the product is 24. Place 24 instead of 3X. Now compare both the numbers 24 and 20. The number 24 is greater than 20. So, place ‘>’ symbol in the above circle.

Question 6.

5x + 5 45

Answer:

X = 8

5X = 5 x 8 = 40

5X + 5 = 40 + 5 = **45
**

Explanation:

We know that X = 8, multiply 8 with 5 the product is 40. Place 40 instead of 5X. Add 40 with 5 the sum is 45. Now compare both the numbers 45 and 45. The number 45 is equal to 45. So, place ‘=’ symbol in the above circle.

Question 7.

2x – 9 x – 1

Answer:

X = 8

2X = 2 x 8 = 16

**16 – 9 = 7**

**8 – 1 = 7**

Explanation:

We know that X = 8, The given expressions are 2X – 9 and X – 1. Place X value in the expressions. multiply 8 with 2 the product is 16. Place 16 instead of 2X. Subtract 9 from 16 the difference is 7. Subtract 1 from 8 the difference is 7. Now compare both the numbers 7 and 7. The number 7 is equal to 7. So, place ‘=’ symbol in the above circle.

Question 8.

12 – x x ÷ 2

Answer:

X = 8

**12 – x = 12 – 8 = 4**

**x ÷ 2 = 8 ÷ 2 = 4**

Explanation:

We know that X = 8, The given expressions are 12 -X and X ÷ 2. Place x value in the expressions. Subtract 8 from 12 the difference is 4. Place 4 instead of 12 – X. Divide 8 by 2 the result is 4. Place 4 instead of X ÷ 2. Now compare both the numbers 4 and 4. The number 4 is equal to 4. So, place ‘=’ symbol in the above circle.

**Solve each equation.**

Example

x – 5 = 5

x – 5 + 5 = 5 + 5

x = 10

x = __10__

Question 9.

2a + 4 = 10

a = ____

Answer:

2a + 4 = 10

2a = 10 – 4

2a = 6

a = 6/2

**a = 3**

Question 10.

5b – 13 = 17

b = ____

Answer:

5b – 13 = 17

5b = 17 + 13

5b = 30

b = 30/5

**b = 6**

Question 11.

2m – 3 = m

m ______

Answer:

2m – 3 = m

2m + m = 3

3m = 3

m = 3/3

**m = 1**

Question 12.

12n + 7 = 8n + 15

n = ____

Answer:

Question 13.

2s + 16 = 4s – 6

s = _____

Answer:

2s + 16 = 4s – 6

16 + 6 = 4s – 2s

22 = 2s

22/2 = s

**s = 11**