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

6x^2 - 10 for x = 4

6(4)^2 - 10 = 86

200

4(t) + 5 + t^2 for t = 3

4(3) + 5 + (3)^2 = 26

300

3s^3 + 7 - 2s for s = 4

3(4)^3 + 7 - 2(4) = 191

400

x^3+ y^2 - z^1 for x = 2, y = 5, z =4

22(2)^3 + 5^2 - 4^1= 37

500

2x^4 + 5L^7 - 6w^3 - 4m^2 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

Verbal to Algebraic

100

What does the word less than mean? (2 meanings)

subtraction and flip the problem

200

one-third of a number

1/3d or d/3

300

Eleven times the sum of a number and five

11(x+5)

400

three less than a number is 4

x-3=4

500

The quotient of twenty and 5 increased by a number.

20/5+ x

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) + e^8 for f = 1, c = 117, e = 2

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

400

2(y^5 - h^2 - 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

Algebraic to Verbal

100

What does product mean?

multiplication

200

7n + 8

The product of seven and a number plus 8

300

2(x+5)

Twice the sum of a number and 5.

400

If you were given an expression how would you know that the answer should be 2(x+5).  Why does it have parenthesis?

The 2 comes out front or their is a comma in the expression.

500

2/x +5

The quotient of 2 and a number plus 5.