Evaluating Expressions

Simplify

100

4x - 3 for x = 6

4(6) - 3 = 

24 - 3 =21

200

100/x + 25x  for x = 5

100/(5) + 25(5) =

20 + 125 = 145

300

5x - 15 - 7x for x = -3

5(-3) - 15 - 7(-3) =

-15 - 15 + 21 =

-30 + 21 = -9

400

24/n - 2n + n for n = -6

24/(-6) - 2(-6) + (-6) =

-4 + 12 + -6 =

8 + -6 = 2

500

n/4 + 2n - 3 for n = 12

12/4 + 2(12) - 3 

3 + 24 - 3 =

27 - 3 = 24

Expressions w/Exponents

100

9x²  for x = 2

9(2)² 

9(2)(2) = 36

200

5t² - 10  for t = 3

5(3)² - 10 =

5(3)(3) - 10 =

45 - 10 = 35

300

5s³ - 9  for s = 2

5(2)³  - 9 =

5(2)(2)(2) - 9 =

40 - 9 = 31

400

4n³ + 8n + 3  for n = -2 

4(-2)³ + 8(-2) + 3 =

4(-2)(-2)(-2) - 16 + 3 =

-32 - 16 + 3 =

-48 + 3 = -45

500

x³/2 - 2x² + 3x    for x = 4

(4)³/2 - 2(4)² + 3(4) =

(4)(4)(4)/2 - 2(4)(4) + 12 =

64/2 - 32 + 12 =

32 - 32 + 12 = 12

Expressions 2 Variables

100

a/2 - 4b for a = 16 and b = 3

(16)/2 - 4(3) =

8 - 12 = -4

200

15x - 12y for x = 3 and y = -4

15(3) - 12(4) =

45 + 48 = -3

300

24x/3y + 2xy for for x = -8 and y = 4

24(-8)/3(4) + 2(-8)(4) =

-192/12 + (-64) =

-16 + (-64) = -80

400

2r² / C - 2r  for r =10 and C = 25

2(10)² / 25 - 2(10) =

2(10)(10)/25 - 20 =

200/25 - 20 =

8 - 20 = -12

500

(6a - 3b - ab + 2a²)/ 2a - b for a = 5 and b = 2

[6(5) - 3(2) - (5)(2) + 2(5)²] / 2(5) - (2) =

[(30 - 6 -10 + 2(5)(5)] / 10 - 2 =

(14 + 50) / 8 = 

64/8 = 8

Expressions 3 Variables

100

3x + y + z for  x = -3  y = -5   z = 7

3(-3) + (-5) + (7) =

-9 + 2 = -7

200

2LH + 2LW + 2WH for L = 3, W = 4, and H = 5

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

30 + 24 + 40 = 94

300

5p - 3r / -q for p = 4, r = 5, q = 3

5(4) - 3(5)/ -(3) = 

20 - 15/-3 =

20 - 15/-3

5/-3

400

(a + b)²/3c for a = 12, b = -3, and c = -9

[(12 + (-3)]² / 3(-9) =

(9)² / -27 =

(9)(9) / -27 =

81 / -27 = -3

500

(x² + 5y + 4)/ z - 3  for

x = 6        y = -2       z = 2

[(6)² + 5(-2) + 4)/ (2) - 3 =

[(6)(6) - 10 + 4] / -1 =

36 - 6 / -1 =

30 / -1 = -30

Expressions w/Grouping Symbols

100

(n / 2) + 3m for n = 50 and m = 15

(50 / 2) + 3(15) =

25 + 45 = 70

200

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

[2(-4) - 3(4)] - [3(-4) - 2(4)] =

(-8 - 12) - (-12 - 8) =

-20 - (-20) = 0

300

-5a + (b - c)⁵ for a = 7, b = 6, c = 4

-5(7) + [(6) - (4)]⁵ = 

-35 + (2)⁵ = 

-35 + (2)(2)(2)(2)(2) = 

-35 + 32 = -3

400

(2x + 6)² / 2x for x = 3

[2(3) + 6]² / 2(3) =

(6 + 6)² /6 =

12²/ 6 =

(12)(12)/6 = 

144/6 = 24

500

2(4x - 2)² - 3y²  for x = 2  and y = -2

2[4(2) - 2]² - 2(-2)² =

2(8 - 6)² - 2(-2)(-2) =

2(2)² - 8 =

2(2)(2) - 8 =

8 - 8 = 0