Solving Equations
Writing Equations
Solving Inequalities
Graphing Inequalities
Writing Inequalities
100
Solve for x
2/3x+4=7
x=9/2
100
Kelsey has 4 packages of trading cards. Her friend gave her 8 cards. Now Kelsey has a total of 28 cards. Write an equation that can be used to find the number of trading cards, x, in each package.
4x+8=28
100
Solve the inequality:
35> -7x
-5<x or x> -5
100
What kind of circles are used for the following inequality signs?
<,>
Open circles
100
Stella needs to make at least 8 loaves of bread for a bake sale. She has already made 3. Write an inequality that can be used to find the least amount of loaves, x, Stella need to make for the bake sale.
x+3>=8
200
Solve the equation:
4+x/8=0
x=-32
200
The height of a banner is equal to one third of its length. If the banner is 5 feet tall, write an equation that can be used to find the banner's length, L, in feet.
5=1/3L
200
Solve the inequality:
x/3+7>=13
x>=18
200
What kind of circles are used for the following inequality signs:
<=, >=
Closed circles
200
Jordan wants to spend no more than $30 at the bowling alley. The bowling alley charges a flat fee of $10 to enter. They also charge $4 per game. Write an inequality for the number of games (x) that Jordan can play.
4x+10<=30
300
Solve for x
41.4=3.6(x+4.5)
x=7
300
Cameron buys 2.45 pounds of apples and 1.65 pounds of pears. Apples and pears each cost c dollars per pound. If the total cost after using a $0.75 off coupon is $4.12, write an equation that can be used to find the value of c.
4.1c-0.75=4.12
300
Solve the inequality:
-34<-2(4x-1)
4.5>x or x<4.5
300
How can you tell to make sure you've graphed an inequality correctly?
Take a number you shaded on the graph. Plug it into your inequality and see if it's true. If it is, that means you graphed it correctly. If it's not, that means you shaded the wrong way.
300
A basketball team needs to score more than 719 total points this season to set a new record. The team has already scored 175 points and it averages 68 points per game. Assume the teams average number of points scored per game does not change.
Write an inequality to represent how many more games the team needs to play in order to set a new record.
175+68x>719
400
Solve for x
-8(0.5x-3)-2=1
x=5.25
400
Sandy's vegetable garden has 12 rows of vegetables. She has x tomato plants and 10 pepper plants growing in each row. There are a total of 180 vegetable plants in the garden. Write an equation that can be used to determine the number of tomato plants in each row.
12(x+10)=180
400
Solve the inequality:
-2(1-x)<-6
x<-2
400
Write an inequality for the following graph:
x<3
400
Sarah has $40 in a piggy bank. She wants to keep at least $20 in the piggy bank, and takes out half of a dollar each week for a soda. Write an inequality to represent how many weeks it would take Sarah to stay within her budget.
40-0.5x>=20
500
Solve for x
8=8x-4(x+8)
x=10
500
Tim's phone service charges $25.41 plus an additional $0.18 for each text message sent per month. If Tim's phone bill was $29.91, write an equation that can be used to find how many text messages, x, Tim sent last month.
0.18x+25.41=29.91
500
Solve the inequality:
1.9(2.3x+6)+10.45>43.7
x>5
500
Draw a graph for the following inequality:
-3<=x
500
Ms. Lodge wants to donate to a local animal shelter.
-She wants to donate at least $593 to the shelter
-She has already saved $418
-She plans to earn $12.50 per day by pet-sitting for an hour each day to raise the rest of the money.
Write an inequality that can be used to find the number of days Ms. Lodge can spend pet-sitting and meet her goal.
418+12.50x>=593