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Simplifying Expressions
Solving Equations
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Clearing Fractions
Clearing Decimals
100
Simplify the expression: -4p - 2p + 8p - 15 + 3
2p - 12
100
Solve: -x + 6 = 5
x = 1
100
Solve: 5x + 2 = -13
x = -3
100
Solve: 1/3y - 4 = 9
y = 39
100
Solve: -6.3x + 1.5 = -4.8
x = 1
200
Simplify the expression: -3(2t + 4) + 8(2t - 4)
10t - 44
200
Solve: 5.1 = -2.5 + y
y = 7.6
200
Solve: 6(3x + 2) - 10 = -4
x = -1/3
200
Solve: 1/3q + 3/5 = 1/15q - 2/5
q = -15/4
200
Solve: 0.05z + 0.2 = 0.15z - 10.5
z = 107
300
Simplify the expression: 6(x +3) - (6x - 5)
23
300
Solve: The sum of negative 12 and a number is negative fifteen.
n = -3
300
Identify the equation as a conditional, identity, or contradiction. Then give the solution: 5h + 4 = 5(h + 1) - 1
identity; all real numbers
300
1/4(3m - 4) - 1/5 = 1/4m + 3/10
m = 3
300
Solve: 0.5(3q + 87) = 1.5q + 43.5
all real numbers
400
Simplify the expression: -3 + 5[-3 - 4(y+2)] - 8y
-28y - 58
400
Solve: The product of a number and seven is the same as negative sixty-three.
x = -9
400
Identify the equation as a conditional, identity, or contradiction. Then, give the solution: 3y - 1 = 1 + 3y
Contradiction; no solution
400
Solve: (3w - 2)/6 = 1 - (w-1)/3
w = 2
400
Solve: -3.5x + 1.3 = -0.3(9x - 5)
x = -1/4 or -0.25
500
Simplify the expression: 1 - 3[2(z + 1) - 5(z - 2)]
9z - 35
500
Solve: Eighteen is equal to the quotient of a number and two.
w = 36
500
Solve: 2[(4p + 1) - (3p - 1)] = 5(3 - p) - 9
p = 2/7
500
Solve: (5y - 1)/2 - (y + 4)/5 = 1
y = 1
500
Solve: x + 4 = 2(0.4x + 1.3)
x = -7