Check the solution
n/-3 = 16; n=48
No, n=48 is not the solution
An equation with two operations
two-step equation
-7m = 63
m=-9
5m – 7m + 1 = 3
m=-1
5 more than twice a number is -7
2n + 5 = -7; The number is -6
6 - n = 14; n = -8
Yes, n=-8 is the solution
The value of the variable that makes the equation true
the solution
-3-n=-8
n=5
-6(4x+5) = 2
x = -4/3
Two-thirds of the team came home on the bus. With the 2 coaches and 1 driver, there were 27 people on the bus. Let t = # on team
2/3 t + 3 = 27; There are 36 players on the team.
2/5 x + 1 = -1; x = 5
No, x=5 is not the solution
Dividing by a fraction is the same as multiplying by...
the reciprocal
-2k-4=8
k=-6
2/3 (x - 6) = -10
x = -9
The sides of a triangle are x, x+1 and x+2. The perimeter is 12 cm.
x+x+1+x+2=12; The sides are 3cm, 4cm, 5cm
15n = -10; n = -2/3
Yes, n=-2/3 is the solution
Operations that "undo" each other
inverse operations
h/-3 + 6 = -4
h=30
4(f - 3) + 2(f + 2) = 4
f = 2
Sue has 5 more pens than Jim. Together they have 17 pens. Let j = # pens Jim has
j + j + 5 = 17; Jim has 6 & Sue has 11 pens
3n - 5n + 8 = -12; n = 10
Yes, n=10 is the solution
Before starting to solve, we must ___ by distributing and combining like terms.
simplify
9/5 b -1 =-10
b=-5
4m+2(m-3)+ 7 = -11
m = -2
The length of a rectangle is 2x-7 and the width is x+5. The perimeter is 32 inches.
2(2x-7)+2(x+5)=32; The length is 5in & width is 11in