Combining Like Terms and Distributive Property
Two Step Equations
Two Step Inequalities
Writing Equations or Inequalities from Word Problems
Word Problems
100
4x-5x
-x or -1x
100
What is the value of
4x+4=-12?
What is -4?
100
What is the solution set for
-5x-6>4?
What is
x<2?
100
A community center offers one 90-minute yoga class on Sundays and several 50-minute yoga classes during the week.
Last week, all the yoga classes combined lasted a total of 340 minutes.
Write an equation that can be used to find n, the number of weekday yoga classes.
What is
50n+90=340?
100
A student ran a distance of miles each day for 5 days. Then the student ran a distance of miles each day for 5 days.
What was the total distance in miles the student ran during these 10 days?
What is
38 3/4?
200
9x-6x+5-3
3x+2
200
What is the value of
5-9x=-85
what is 10?
200
The model represents an inequality
What is the solution set for the inequality?
x<=-4
200
A principal has given a class $75 to help pay for a field trip to a zoo. The students in the class are selling pies for $5 each to earn the rest of the money they need. The field trip will cost a total of $386. Which inequality can be used to find p, the number of pies the class needs to sell in order to earn enough money to pay for the field trip?
What is 5p+75<=75 ?
200
Emma and Jake are collecting comic books.
- The number of comic books in Emma's collection can be represented by x.
- The number of comic books in Jake's collection is three times the amount in Emma's collection.
- The total number of comic books in both collections is 64.
How many comic books does Emma have?
Emma has 16 comic books.
300
5+17x-4+2(5x+3)
27x+7
300
What is the value of
-5(x+3)=15
What is 6?
300
GRAPH the inequality
9x+9>36
x>3
300
Maria is saving money to buy a new bike that costs $240. She already has $60 saved. She plans to save $15 each week from her allowance. Write an equation to represent how many weeks, w, it will take Maria to have enough money for the bike.
15w+60=240
300
Emma and Jake are collecting comic books.
- The number of comic books in Emma's collection can be represented by x.
- The number of comic books in Jake's collection is three times the amount in Emma's collection.
- The total number of comic books in both collections is 64.
How many comic books does Jake have?
Jake has 48 comic books.
400
3(4x+3)+5x-6(9x-7)
-37x+51
400
Which equation is true when c = 3?
a) 2c+8=31
b) 8(7-c)=32
b) 8(7-c)=32
400
Which values from the set satisfy this inequality?
7x-4-3x>12
Pick 2 answers.
a) 6
b) -6
c) 3
d) 7
a) 6
d) 7
400
Samantha has $160 in her savings account. Each week, she spends $5 on lunch and other activities. Write an inequality to represent how many weeks, w, she can continue spending if she wants to have at least $64 left in her account.
-5w+160>=64
400
Which situation can be represented by this inequality?
1.25x-6.50>50
a) Stefan spends $6.50 on supplies for lemonade stand and sells each cup of lemonade for $1.25. What is x, the number of cups of lemonade Stefan must sell to earn a profit of more than 50?
b) Stefan earns 1.25% interest on the balance in his checking account and has to pay a monthly charge of $6.50. What is x, the balance that Stefan must have in his checking account in order to have an ending balance greater than $50 after interest and fees?
c) Stefan charges $1.25 for gasoline plus $6.50 per hour for mowing lawns. What is x, the number of hours he has to mow lawns to earn more than $50?
d) Stefan has a balance of $1.25 in his savings account and deposits $6.50 each week. What is x, the number of week Stefan must deposit $1.25 in order to have a balance of more than $50 in his savings account?
a) Stefan spends $6.50 on supplies for lemonade stand and sells each cup of lemonade for $1.25. What is x, the number of cups of lemonade Stefan must sell to earn a profit of more than 50?