Simplify Like Terms
Simplify the expression:
5x + 3x +2
8x + 2
x + 4 = -7
x = -11
3(2x - 10) = 6
x = 6
2x + 7 = 2x - 8
No Solution
Isabelle pays $2 each time she rides the bus to school. She could buy a bus pass for a one time fee of $10 and then she would only pay $1 per ride. After how many bus rides would the two options be the same? Give your equation and solution.
2x = 10 + x
x = 10 rides
Simplify:
2x - x - 6 + 8
x + 2
2x + 7 = 13
x = 3
34 = -2 + 9x + 16 + x
x = 2
8 + 4x = 2x + 8 +2x
All real numbers
Marshall earns a salary of $36,000 and each year he receives a $4,000 raise. Jim earns a salary of $51,000 and each year he receives a $1500 raise. How many years will it take before Marshall and Jim earn the same salary?
36000 + 4000x = 51000 + 1500x
x = 6 years
Simplify
6.2 +8.9w - 12 -11.2w -6.2
-2.3w -12
4.8x + 13 = 1
x = -2.5
x/-3.5 + 33 = 30
x = 10.5
10x +2(x - 6) = 3 (4x - 4)
All real numbers
Write and solve an equation based on the following:
"46 less than -8 times a number is the same as 8 less than -6 times the number"
-8x - 46 = -6x - 8
x = -19
Simplify:
-17b + a -23b +24a -10
25a-40b -10
34 = 10x + 14
x = 2
7x - 4 + x = -1 + 13x + 7
x = -2
2(9x - 6) = 6(3x - 2) +2
No solution
Write and solve an equation based on the following:
"a number increased by 11 is equal to twice the number decreased by 12"
x + 11 = 2x - 12
x = 23
Simplify:
15 - 8(3x - 7) + x
-23x +71
17 - 1/9 x = 10
x = 63
3 - 5(x + 4) = 8(2x - 3)
x = 1/3
-3 -0.5x +13 = 0.3x +6.2
x = 4.75
8x + 20 = 6x + 24
x = 2
Perimeter: 36