Simplify
4x - 5
for x = 4
4(4) - 5
11
6x^2 - 10
for x = 4
6(4)^2 - 10
6(16) - 10
96-10
86
Eight less than a number, x
x-8
(n / 2) + 3m
for n=50, m=15
(50 / 2) + 3(15) = 60
Twice a number is 80
2x=80
2a + 5
for a = 3
2(3)+5
6+5
11
4(t) + 5 + t^2
for t = 3
4(3) + 5 + (3)^2
4(3) + 5 + 9
12 + 5 + 9
26
The product of 10 and the square of the quantity 7 plus a number, p
10(7+p)^2
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
The product of 7 and the quantity 9 plus a number, x, is greater than 17.
7(9+x)>17
3(2y - 1) + 6
for y = 2
3(2 (2) - 1) + 6
3(4-1)+6
3(3)+6
9+6
15
3s^3 + 7 - 2s
for s = 4
3(4)^3 + 7 - 2(4)
3(64)+7-2(4)
192+7-2(4)
192+7-8
199-8
191
The quotient of the 2 and the sum of 4 and a number, n
2/(n+4)
10a - (b - c)^5
for a = 7, b = 6, c = 4
10(7) - (6 - 4)^5
= 70 - (2)^5
= 70 - 32
= 38
The sum of 11 and the quotient of 6 and y is 13
11+6/y=13
3(6 - b) + 7 - 2b
for b = 4
3(6 - 4) + 7 - 2(4)
3(2)+7-2(4)
6+7-2(4)
6+7-8
13-8
5
x^3+ y^2 - z^1
for x = 2, y = 5, z =4
22(2)^3 + 5^2 - 4^1
22(8)+5^2-4^1
22(8)+25-4^1
22(8)+25-4
176+25-4
201-4
37
The product of 3 and the difference of g and 5
3(g-5)
(2x - 3z)^4 / 12
for x=5 and z=3
(2(5) -3(3))^4 / 12
=(10-3(3))^4/12
=(10-9)^4/12
=(1)^4/12
=1/12
Julia wants to buy a bike that costs $250. She has $82 already, and her job will pay her $16 per hour. If x represents the number of hours Julia works, write an inequality to show how much she needs to work to afford the bike.
16x+82>=250
or
2x>=168
n/4 + 2n - 3
for n = 8
8/4 + 2(8) - 3
2+2(8)-3
2+16-3
18-3
15
2x^4 + 5y^7 - 6w^3 - 4m^2
for
x = 3, y = 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
5 times the cube of a number, m
5m^3
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
Haro needed to get his computer fixed. He took it to the repair store. The technician at the store worked on the computer for 2.75 hours and charged him $181 for parts. The total was $249.75. Write an equation which can be used to determine x, the cost of labor per hour. You do NOT need to solve it.
2.75x+ 181=249.75