Writing Equations
Solving Equations
Writing and Graphing Inequalities
Solving Inequalities
100
On the last day of her summer tennis camp, Anne helps her instructor sort through a basket of tennis balls to throw out the old ones. Anne ends up throwing away 15 of the balls. She returns the remaining 57 balls to the basket.
Write an equation to find the total number of tennis balls, t, Anne checks.
x = 15 + 57
or
x - 15 = 57
100
Solve for h.
8h = 56
h = 7
100
Write an inequality to represent the following.
x < 4
or
4 > x
100
Solve for r.
r + 5 < 15
r < 10
200
To raise money for charity, Adam and his friends start the Pampered Pooch Pet Wash. The first day they are open, they forget to put up posters and only raise a little money. The next day, they hang posters all over the neighborhood and raise $56.75. In all, Adam and his friends raise $76.75 on the first two days they are open.
Write an equation to find the amount of money, a, Adam and his friends raise on the first day.
a + 56.75 = 76.75
or
76.75 - a = 56.75
200
Solve for k.
k = 96
200
Write an inequality to represent the following.
x > 6
or
6 < x
200
Solve for c.
2c > 6
c > 3
300
After Friday's football game, Victoria and her friends go out for ice cream. They share the Mega Mountain sundae and finish the whole thing! When they pay for the sundae, Victoria evenly divides the total among 6 people. Each person pays $3.50.
Write an equation to find the total cost, c, of the sundae.
c/6 = 3.50
or
3.50(6) = c
300
Solve for y.
y - 4.8 = 3.1
y = 7.9
300
Joe has 20 games and Chris has 35 games. In the inequalities below, L represents the number of games Lisa has.
20 < L and L < 35
Which of the following is a possible number of games that Lisa owns?
A. 37
B. 35
C. 15
D. 28
D. 28
300
Solve for f.
f - 2.5 < 3.2
f < 5.7
400
Emilia is grocery shopping and is craving peanut-butter pretzels, so she fills a small bag from the bulk bin section. After weighing the bag on the scale, she removes 0.15 pounds of pretzels. Now the bag weighs 0.25 pounds.
Write an equation to find the weight, w, of the bag before Emilia removes the pretzels.
x = 0.15 + 0.25
or
x - 0.15 = 0.25
400
Sophia and her friends go to the theater to see the latest action movie, Dark Emperor: Fist of Vengeance. After Sophia buys a ticket, she also buys snacks for $9.25. In all, Sophia spends $23.25 at the movie theater. What is the cost of Sophia's ticket?
$14
400
Which of the following describes the graph below?
A. x is at least -1
B. x is greater than -1
C. 1 is a possible solution
D. x is at most -1
D. x is at most -1
400
Mr. Clarke plans to buy 3 security cameras to install outside his donut shop. He wants to spend less than $450 on the cameras in all.
Write an inequality where x represents how much Mr. Clarke wants to spend on each camera.
3x < 450
so x < 150
500
Jaden and his mom are volunteering at an emergency relief center. To help prepare in case of a flood, they pack emergency kits with food and water. Jaden puts 5 water bottles into each kit they pack. In all, he packs 125 water bottles.
Write an equation to find the number of emergency kits, k, Jaden packs.
5k = 125
or
125/5 = k
500
At his school's spring carnival, Charlie is in charge of the balloon-launcher contest. In this contest, each team builds a catapult to launch water balloons at a target. Charlie gives a bucket of 14 water balloons to each team in the contest. In all, he gives out 70 water balloons.
How many teams are in the contest?
5 teams
500
Nicky is trying to find a rare figurine. She does not want to spend more than $130 on the figure.
Draw a graph of an inequality that represents the situation.
500
Tracy bought a can of yellow paint to use on the table and chairs in her backyard. She used 1.25 liters of paint on the chairs. She has 3 liters or less of paint left for the table.
Write an inequality where x represents how many liters of paint were in the can to start.
x - 1.25 < 3
so x < 4.25