Expressions Review

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+ y² - z¹ for x = 2, y = 5, z =4

28

500

2x⁴ + 5L⁷ - 6w³ - 4m² for x = 3, L = 6, w = 4, m = 5

2(3)⁴ + 5(7)⁸ - 6(4)³ - 4(5)² = 2(81) + 5(279936) - 6(64) - 4(25) = 162 + 1399680 - 384 - 100 = 1399358

Translating Word PhrasesSymbols

100

The difference of x and 4

x - 4

200

the product of s and 10

10s

300

the sum of k and 10

10 + k

400

2 times the sum of a and b

2(a+b)

500

the quotient of 6 and the difference of q and s

6 / (q-s)

Evaluating Expressions

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

Order of Operations

100

6(7+14) / (9-8)

126

200

4 (13-1)² / 2

288

300

3³ * 32 + 12 / 4

867

400

9(20+5) / (3-2)

225

500

2 (12-2)² / 5

40