Solving Equations
Solve:
3x+4=19
x=5
Anthony cooks 6 servings of a meal containing pasta and meat. Each serving has 3 ounces of meat and a certain amount of pasta. The recipe makes a total of 42 ounces.
Write and Solve an equation to determine how many ounces of pasta are in one serving.
Equation: 6(x+3)=42
Answer: There are 4 ounces of pasta per serving
Solve:
6(x+3)=48
x=5
Jonelle spends $22.50 at a library book sale. She spends $4.50 on paperback books and buys 6 hardcover books of equal value.
Write and solve an equation to determine the price of one hardcover book.
Equation: 6b+4.50=22.50
Answer: b=3
Solve:
8x+5=-11
x=-2
For 4 days, Ali put $3 into his savings account each day. His parents also added a certain amount of money to the account each day. In the end, there was a total of $36 in the account.
Write and solve an equation to determine how much money Ali's parents added each day.
Equation: 4(x+3)=36
Answer: His parents added $6 each day
Solve:
-3(x-6)=39
x=-7
The Friendsville Zoo builds a new rectangular prairie-dog enclosure using 65 yards of fencing. Two sides of the enclosure use a total of 41.50 yards of fencing.
Write and solve an equation to determine the length of the other 2 sides.
Equation: 2x+41.50=65
Answer: x=11.75
Solve:
-10x+25=-35
x=6
Terrance works out each day for 7 consecutive days by running and walking. His workout is identical each day. First he runs 5 miles, and then he walks a distance. His total distance over 7 days is 49 miles.
Write and solve an equation to determine how many miles he walks each day.
Equation: 7(x+5)=49
Answer: Terrance walks 2 miles each day
Solve:
28=-5x-12
x=-8
Violet is organizing 6 shelves with the same decorations on them. She removes 3 decorations from each shelf. Afterward, there are 36 total decorations.
Write and solve an equation to determine how many decorations were on each shelf to begin with.
Equation: 6(x-3)=36
Answer: Each shelf had 9 decorations to begin with
Solve:
1/4(x+7)=8
x=25
A bowl contains 55 mints. Customers eat 4 mints each hour.
Write and solve an equation to determine how many hours remain until 22 mints are left.
Equation: 55-4x=22
Answer: x=8.25