Algebra Equation Translation
Turn the following verbal expression into an algebraic equation:
8 increased by a number is 56
8 + y = 56
Solve the equations when the value of 5 + x + y if x = 5 and y = 7
17
13+n=44
31
8x+12=x+33
x=3
Jackson is going on vacation and taking his dog Lucy along. Lucy eats 2 cups of Hungry Hound dog food each day. Jackson wants to know how many days he can feed Lucy from a 14-cup bag of Hungry Hound.
Write an equation and solve for the variable.
2h=14
h=7
Turn the following verbal expression into an algebraic equation: The multiplication of 7 and a number is the difference of 33 and 5.
7x=33-5
Solve the equations when the value of 8x + y if x = 5 and y = 7
47
9c= 90
c=10
2x+4=4x+12
x=-4
Chelsea is a contestant on the kids' game show, Spend or Switch! When she makes it up on stage, host Guy Granger takes out a stack of one hundred-dollar bills. He divides the bills evenly among all 8 contestants on stage. Each contestant receives 3 one hundred-dollar bills.
Write an equation and solve for the variable.
b/8=3
b=24
Turn the following verbal expression into an algebraic equation: The sum of 10 and a number, times 4, is 100.
4(10 + v)=100
Solve the equations when the value of x + 7y + y if x = 5 and y = 7
61
5n - 18 = 32
n=10
3x-5x+8+9=4x+5
x=2
The Happy Paws pet store carries special treats for Gabe's dogs, Teeny and Tiny. After choosing some dog treats, Gabe sees a display of costumes. He decides to buy 2 of the same clown costume for his dogs. In all, he pays $31.50 for both costumes.
Write an equation to solve for the variable, c, to determine the cost of the costumes.
2c=31.50
c=15.75
Turn the following verbal expression into an algebraic equation: The division of 81 and a number is 27.
81/f=27
Solve the equations when the value of 11x - 1y + 6 if x = 5 and y = 7
54
5p - 2 = 18
n=4
3(2x-1)-x+2=3x+11
x=6
Katia is on the well-known reality show, Kid Castaway, in which a group of kids spends a week learning to survive on a tropical island. On Monday, the kids gather a bunch of coconuts to eat. They divide the coconuts evenly among all 16 kids in the group. Each kid gets 5 coconuts.
Write an equation to determine the number of coconuts, c.
c/16 = 5
c=90
Cristian ran at a rate of 5 miles per hour, h. Athena ran at a rate of 8 miles per hour, h. The total number of miles run between both runners is 91 miles. Write an equation that can be used to solve for the total number of hours ran.
5h+8h=91
13h=91
h=7
Solve the equations when the value of 4x + 2y - 13 - 2 if x = 5 and y = 7
19
s/8 + 4 = 13
72
8(x-2)-2x+3=5x+9
x=22
Annabel and her friends are preparing for an epic snowball fight. They make 80 snowballs before Annabel's dad calls them in for lunch. After lunch, they make more snowballs. In all, Annabel and her friends make 160 snowballs.
After throwing 4/5ths of the snowballs, how many do they have left?
Write an equation for each part and solve for the variable, s, in the first part and solve for the variable, b, in the second part.
s+80=160
s=80
160xx4/5=b
160-128=b
b=52