Solving Equations
What is the value of x if 25 = 4x - 75?
x = 25
Paula wants to raise $2,300 for the chess club. Her goal is to raise $30 each day (d). Write and equation that will model this situation.
30d = 2300
Each of the 14 members of the baseball team bought a water bottle from the concession stand. Coach paid $119 for a meal for the entire team. If they concession stand made $154 total, how much did each water bottle cost? Write and solve an equation.
14b + 119 = 154
b = 2.50
If y - 20 = 12, what is the value of 3(y + 8)?
y = 32
3(32 + 8)
120
Michael wants to save for a new truck that costs $18,000. He decides that he will start saving $300 a week. Write and solve an equation to represent how many weeks it would take him to save enough money for the truck.
300w = 18,000
w = 60
What is the value of p if -12 = 3p + 9?
p = -7
The 8th graders at Vancleave Middle School saved money for their end of the year party. The class currently has $500 and wanted a total of $5,500. The class saves $70 each week. Write an equation that can be used to determine how many weeks, w, it will take for them to reach the class goal.
70w + 500 = 5,500
Rose has 3 packs of gum. She gives away 4 pieces to her friends. After that, she has 26 pieces left over from all packs. How many pieces of gum are in each pack. Write and solve an equation.
3x - 4 = 26
x = 10
If x - 7 = 4, what is the value of -3(x - 5)?
x = 11
-3(11-5)
-51
Richard won 45 bouncy balls playing a game at the fair. At school, he gave three to every student in his math class. He has 3 left over. Write and solve an equation to find how many students are in his class.
45 - 3x = 3 OR 3x + 3 = 45
x = 14
n/-4 - 9 = -13
The drama club sold tickets to a play for $5 each. They also made $55 in popcorn and soda sales. If they made a total of $290, what equation could you write to represent this scenario?
5x + 55 = 290
Thelma and Louise purchase donuts for a group of friends. The cost of each donut, including tax, is $3.21. They pay with a $20 and receive $7.16 in change. Write and solve an equation that will find how many donuts they purchased.
20 - 3.21x = 7.16
x = 4
If x - 12 = 2, what is the value of 4(x - 5)?
x = 14
4(14 - 5)
36
A plumber charges his customers $26.50 per hour plus a service fee of $45.40. If the plumber charges a total of $151.40, how many hours did her work? Write and solve an equation.
26.50h + 45.40 = 151.40
h = 4
Find the value of w.
-12w - 16 + 8w + 9 =1
w = -2
A family of 7 bought tickets to the circus. Each family member also bought a souvenir that cost $6. The total amount they spent was $147. Write an equation that could be used to find the cost of one ticket.
7(x + 6) = 147 OR 7x + 42 = 147
Jack and Jill decide to sell some of their crafts at a show. The booth rental costs them $25, and they plan to sell each craft for $5 a piece. Write and solve an equation that could be used to find out how many crafts they need to sell to make $50 profit.
5c - 25 = 50
c = 75
If 3y + 10 = 4, what is 2 + 1(y - 5)
y = -2
2 + 1(-2 - 5)
-5
Fidel earns a fixed amount, m, for each television he sells, and an additional $15 if the buyer gets an extended warranty. Fidel sells 12 televisions with extended warranties, earning $900. Write and solve an equation to represent the amount earned for each television.
12(m + 15) = 900 OR 12m + 180 = 900
m = 60
m/-9 + 12 - 15 = -8
m = 45
x/2 + 12 = 38
A family spends $250 on 5 shirts and 5 pairs of pants. Each shirt costs x dollars, and each pair of pants costs $35. Write and solve an equation to find the value of x.
5(x + 35) = 250 OR 5x + 175 = 250
x = 15
If y/6 - 4 = 10, then what is the value of (y - 17)?
y = -84
(-84 - 17)
-101
A local charity receives 1/3 of funds raised during a craft fair and a bake sale combined. The craft fair raised $252.60. The total amount given to charity was $137.45. Write and solve an equation to find how much money the bake sale raised.
1/3(x + 252.60) = 137.45
x = 159.75