Evaluating Expressions

Simplify

100

4x - 5 for x = 4

4*4 - 5 = 11

200

2a + 5 for a = 3

2 * 3 + 5 = 11

300

3(2y - 1) + 6 for y = 2

3(2 (2) - 1) + 6 = 15

400

3(6 - b) + 7 - 2b for b = 4

3(6 - 4) + 7 - 2(4) = 5

500

n/4 + 2n - 3 for n = 8

8/4 + 2(8) - 3 = 15

Expressions w/Exponents

100

6x² - 10 for x = 4

6(4)² - 10 = 86

200

4(t) + 5 + t² for t = 3

4(3) + 5 + (3)² = 26

300

3s³ + 7 - 2s for s = 4

3(4)³ + 7 - 2(4) = 191

400

x³+ x² - 5 for x = 2

(2)³ + 2² - 5= 7

500

2x⁴ + x³ - 4x +5 for x = 3

2(3)⁴ + (3)³ - 4(3) - 5 = 2(81) + 27 - 12 - 5 = 172

Multi-Variable Expressions w/Exponents

100

6z^2 - x 

 for z = 3, x = 7

6(3)^2 - 7= 47

200

3x^4 - z

for x = 3, z = 10

3(3)^4 - 10 = 233

300

6L^3 - 8W^4

for L = 9, W = 2

6(9)^3 - 8(2)^4 = 4246

400

5a^3 - 10b^2 + 100c^500

for a = 3, b = 2, c = 1

5(3)^3 - 10(2)^2 +100(1)^500 = 195

500

n^2/4 + 2m^3 - 85

for n = 8, m = 3

(8^2)/4 + 2(3)^3 - 85 = -15

Expressions w/Grouping Symbols

100

(11 - 3z) + x + y for z = 2, x = 9, y = 5

(11 - 3(2)) + 9 + 5 = 19

200

3p - 2(r - q) for p = 4, r = 5, q = 3

3(4) - 2(5 - 3)= 12 - 2(2) = 12 - 4 = 8

300

(14f - 6c) + e⁸ for f = 1, c = 117, e = 2

(14(1) - 6 (117)) + 256 = -432

400

2(y⁵ - h² - 3j) + 2k for y = 4, h = 6, j = 7, k = 8

2((4)^5 - (6)^2 - 3(7)) + 2(8) = 1950

500

3(2f -4e)² - 5g + 6k/6 for f = 9, e = 8, g = 1, k = 6

3(2(9) - 4(8))^2 - 5(1) + 6(6)/6 = 589

Expressions w/Grouping Symbols

100

(n / 2) + 3m

for n=50, m=15

(50 / 2) + 3(15) = 60

200

3(2x - 1)^4 + 6y - 9z

for x=5, y=7, z= 8

3(2(5) - 1)^4 +6(7) - 9(8) = 3(10-1)^4 + 42 - 72 = 3(9)^4 + 42 - 72 = 19683 + 42 - 72 = 19653

300

10a - (b - c)^5

for a = 7, b = 6, c = 4

10(7) - (6 - 4)^5 = 70 - (2)^5 = 70 - 32 = 38

400

(2x + 3z)^4 / 12

 for x = 5, z = 3

(2(5) +3(3))^4 / 12 = 10860.08333

500

b + 3(2c - 5d)^2

for b= 10, c = 4, d = 3

10 + 3(2(4) - 5(3)) = 10 + 3(8 - 15)^2= 10 + 3(-7)^2 = 10 + 3(49)= 10 + 147 = 157