Distributing Expressions
Simplify the expression.
0.5(x−12)
0.5x-6
9z−4=5z+8
z=3
1/3y−1/3=2/7y−1/7
y=4
Write out the equation.
What number should be added to −26 to get a sum of 22?
x-26=22
or
x+(-26)=22
The sum of two consecutive integers is −59. Find the two integers.
-30 and -29
Simplify the expression.
−0.4(z+3)
−0.4z−1.2
−6z+36=3(3z−8)
z=4
6/5u + 1/5 = 3/8u + 7/2
u=4
−16 times a number minus 3 is equal to 67 less than the number.
-16x-3 = x-67
The sum of three consecutive even integers is −258. Find the three integers.
-88, -86, -84
Simplify the expression.
5(x+2)-12
5x-2
9(3x+4)=5(x+2)−12
x= -19/11
or
x= -1.73
-1/3u - 1/8 = -3/4u + 5/8
u=9/5
or
u=1.8
35 times the difference between a number and 71 is equal to the number plus 97.
35(x-71) = x+97
The sum of three consecutive integers is −87. Find the three integers.
-30, -29, -28
Simplify the expression.
6(-5z-1)-2
-30z-8
5(3x-4) = 8(x+2)+5
x=41/7
2/5 (x - 4) = -4/5 (x + 2/5)
x=16/15
or
x=1.07
−39 times a number minus 29 is equal to −36 less than the number.
-39x-29=x-(-36)
or
-39x-29=x+36
The sum of two consecutive odd integers is 116. Find the two integers.
57 and 59
Simplify the expression.
−3/8(y−5)
−3/8y + 15/8
−7+(9n+2)=−(6n−3)−9
n= -1/15
or
n= -.07
x - 3/5x - 1/6 = 1/3 (x - 4/5)
x= -3/2
or
x= -1.5
If 6.5 plus 9.5 times a number equals the sum of the number and 43.3, what is the number? Express your answer as a decimal rounded to two places.
x=4.33
The sum of two consecutive even integers is −238. Find the two integers.
-120 and -118