Algebra Tiles
Expressions w/Exponents
Expressions w/Exponents
Expressions w/Grouping Symbols
Expressions w/Grouping Symbols
100
Write the algebraic expression for the model
What is 2x-2?
100
6x^2 - 10
x=4
6(4)^2 - 10 = 86
100
6z^2 - x
for z = 3, x = 7
6(3)^2 - 7= 47
100
(11 - 3z) + x + y
for z = 2, x = 9, y = 5
(11 - 3(2)) + 9 + 5 = 19
100
(n / 2) + 3m
for n=50, m=15
(50 / 2) + 3(15) = 60
200
Write the algebraic expression for the model
What is 2x-6?
200
4(t) + 5 + t^2
for t = 3
4(3) + 5 + (3)^2 = 26
200
3x^4 - z
for x = 3, z = 10
3(3)^4 - 10 = 233
200
3p - 2(r - q)
for p = 4, r = 5, q = 3
3(4) - 2(5 - 3)
= 12 - 2(2)
= 12 - 4 = 8
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
Model x-3 with algebra tiles
300
3s^3 + 7 - 2s
for s = 4
3(4)^3 + 7 - 2(4) = 191
300
6L^3 - 8W^4
for L = 9, W = 2
6(9)^3 - 8(2)^4 = 4246
300
(14f - 6c) + e^8
for f = 1, c = 117, e = 2
(14(1) - 6 (117)) + 256 = -432
300
10a - (b - c)^5
for a = 7, b = 6, c = 4
10(7) - (6 - 4)^5
= 70 - (2)^5
= 70 - 32 = 38
400
Model the algebraic expression -5x-4 with algebra tiles
400
x^3+ y^2 - z^1
for x = 2, y = 5, z =4
(2)^3 + (5)^2 - (4)^1= 37
400
5a^3 - 10b^2 + 100c^500
for a = 3, b = 2, c = 1
5(3)^3 - 10(2)^2 +100(1)^500 = 195
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
400
(2x + 3z)^4 / 12
for x=5 and z=3
(2(5) +3(3))^4 / 12 = 10860.08333
500
Write the algebraic expression for the model.
What is -x-1?
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
500
n^2/4 + 2m^3 - 85
for n = 8, m = 3
(8^2)/4 + 2(3)^3 - 85 = -15
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
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