EVALUATE LINEAR EXPRESSIONS WORKSHEET

Evaluate the following linear expressions using the given values of the variables.

Question 1 :

16x - 48 for x = -1

Question 2 :

-11x - 23 for x = 5

Question 3 :

14x + 99 for x = 0

Question 4 :

-7y + 69 for y = 9

Question 5 :

-10t + 35 for t = 5

Question 6 :

18x - 32 for x = -3

Question 7 :

-4x + 7 for x = -1

Question 8 :

-5x + 5 for x = 1

Question 9 :

9 (4x + 2) for x = -3

Question 10 :

2(b - 6) for b = 5

Question 11 :

(y + x) ÷ 2 + x for x = 1 and y = 1

Question 12 :

z - (y ÷ 3 - 1) for y = 3, and z = 7

Question 13 :

p - (9 - (m + q)) for m = 4, p = 5 and q = 3

Question 14 :

 y - (4 - x - y ÷ 2) for x = 3, and y = 2

Question 15 :

y ÷ 5 + 1 + x ÷ 6 for x = 6, and y = 5

Question 16 :

x - (5 - 2(y + z)) for x = 4, y = 5, and z = 3

Question 17 :

6q + (2m + 1) ÷ 17 for m = 8, and q = 3 

Question 18 :

a³ - (b² + c) ÷ a + (ab + c) for a = 4, b = -3 and c = 7

1. Answer :

= 16x - 48

Substitute x = -1.

= 16(-1) - 48

= -16 - 48

= -64

2. Answer :

-11x - 23

Substitute x = 5.

= -11(5) - 23

 = -55 - 23

= -78

3. Answer :

= 14x + 99

Substitute x = 0.

= 14(0) + 99

= 0 + 99

= 99

4. Answer :

= -7y + 69

Substitute y = 9.

= -7(9) + 69

= -63 + 69

= 6

5. Answer :

= -10t + 35

Substitute t = 5.

= -10(5) + 35

= -50 + 35

= -15

6. Answer :

= 18x - 32

Substitute x = -3.

= 18(-3) - 32

= -54 -32

= -86

7. Answer :

= -4x + 7

Substitute x = -1.

= -4(-1) + 7

= 4 + 7

= 11 

8. Answer :

= -5x + 5

Substitute x = 1.

= -5(1) + 5

= -5 + 5

= 0 

9. Answer :

= 9(4x + 2)

Substitute x = -3.

= 9[4(-3) + 2]

= 9[-12 + 2]

= 9(-10)

= -90

10. Answer :

= 2(b - 6)

Substitute b = 5.

= 2(5 - 6)

= 2(-1)

= -2

11. Answer :

= (y + x) ÷ 2 + x

Substitute x = 1 and y = 1.

= (1 + 1) ÷ 2 + 1

= 2 ÷ 2 + 1

= 1 + 1

 = 2

12. Answer :

= z - (y ÷ 3 - 1)

Substitute y = 3 and z = 7.

= 7 - (3 ÷ 3 - 1)

= 7 - (1 - 1)

= 7 - 0

= 7

13. Answer :

= p - (9 - (m + q))

Substitute m = 4, p = 5 and q = 3.

= 5 - (9 - (4 + 3))

= 5 - (9 - 7)

= 5 - 2

= 3

14. Answer :

= y - (4 - x - y ÷ 2)

Substitute x = 3 and y = 2.

= 2 - (4 - 3 - 2 ÷ 2)

= 2 - (4 - 3 - 1)

= 2 - (4 - 4)

= 2 - 0

= 2

15. Answer :

= y ÷ 5 + 1 + x ÷ 6

Substitute x = 6 and y = 5.

= 5 ÷ 5 + 1 + 6 ÷ 6

= 1 + 1 + 1

= 3

16. Answer :

= x - (5 - 2(y + z))

Substitute x = 4, y = 5 and z = 3.

= 4 - (5 - 2(5 + 3))

= 4 - (5 - 2(8))

= 4 - (5 - 16)

= 4 - (-11)

= 4 + 11

= 15

17. Answer :

= 6q + (2m + 1) ÷ 17

Substitute m = 8 and q = 3.

= 6(3) + (2(8) + 1) ÷ 17

= 18 + (16 + 1) ÷ 17

= 18 + 17 ÷ 17

= 18 + 1

= 19

18. Answer :

a³ - (b² + c) ÷ a + (ab + c)

Substitute a = 4, b = -3 and c = 7.

= 4³ - [(-3)² + 7] ÷ 4 + [4(-3) + 7]

= 4³ - [(-3)² + 7] ÷ 4 + [4(-3) + 7]

= 4³ - [9 + 7] ÷ 4 + [4(-3) + 7]

= 4³ - 16 ÷ 4 + [-12 + 7]

= 4³ - 16 ÷ 4 - 5

= 64 - 16 ÷ 4 - 5

= 64 - 4 - 5

= 60 - 5

= 55

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