Solving by Combining Like Terms
5h + 2 + 2h = 23
h = 3
2(x + 5) = 14
x = 2
Simplify. 8b + 3b + 4
11b +4
2x = -2x + 24
x = 6
The height of a woman can be predicted by the equation h=81.2+3.34r,where h is her height in centimeters and r is the length of her radius bone in centimeters.
Use the equation to find a woman’ height if her radius bone is 20 centimeters long.
h=81.2+3.34r
h = 81.2 + 3.34(20)
h= 148 cm
3b + b - 8 = 4
b = 3
5(d - 2) = 40
d = 10
Simplify. 19x - 24x -9 +2
-5x -7
3x = -8 - 1x
x = -2
The height of a woman can be predicted by the equation h=81.2+3.34r,where h is her height in centimeters and r is the length of her radius bone in centimeters.
Use the equation to find a woman’ height if her radius bone is 25 centimeters long.
h=81.2+3.34r
h = 81.2 + 3.34(25)
h= 164.7 cm
3a + 12 - 6a = -9
a = 7
7(4 - t) = -84
t = 16
Simplify. 3 + 5(a + 4)
5a + 23
4(y - 2) + y = -13
y = -1
Ryan’s membership to a video game club is $50 a year and $3 per game rented. If Ryan spent $296 in one year, how many games did he rent?
Write an equation that can be used to model this situation.
Membership + 3 per game = Amount spent
50 + 3g = 296
-6 = -3y + 4 + 5y
y = -5
-2(x - 9) = -24
x = 21
Simplify. - 2(2b - 4)+4
-4b + 12
-6(m + 1) + 18 = 24
m = -2
Mr. Bucci goes to the grocery store and purchases 17 bags of raisins and a $2.97 jar of peanut butter. His total cost was $34.76. What was the cost for a bag of raisins?
r = cost of a bag of raisins 17r + 2.97 = 34.76
r = 1.87 Each bag of raisins cost $1.87
78 = 3c + 12 - c + 4
c = 31
-13(4 + 2a) = 208
a = -10
Let a = 2 and t = 3
Simplify. 7a - 5t + 10
9
2(k + 12) = 60 -7k
y = 4
Katie just bought a new car and really wants to keep it looking good. There are two car washes near her apartment. The first place, called Shiny charges a monthly fee of $9.99 then $5.00 per car wash. If Katie plans to wash her cars 5 time this month then what is the final cost?
9.99 + 5(x)
9.99 + 5(5)
$34.99