Writing and Solving Equations
Evaluate Algebraic Expressions using Order of Operations
Write Algebraic Expression
Solving for the variable and Combine Like Terms
Number Properties: Equivalent Expressions
100

Solve: 

5w = 30

What is w=6
100
The expression 180(n - 2) gives the sum of the measures of the angles, in degrees, of a polygon with n sides. What is the sum of the measures of the angles in a polygon with 10 sides?
What is 1,440 degrees.
100
There are 16 ounces in 1 pound. Write an expression that gives the number of ounces in pounds. Use p to represent pounds.
What is 16p.
100

solve: 

X + 4 = 16

What is x=12
100
Micah buys 7 mystery books and 3 fantasy books. He writes the equation 7 + 3 = 3 + 7 to figure out how many books he buys. What property did Micah use?
What is commutative property.
200
What is the inverse operation of division? 
What is multiplication 
200
The expression 500v gives the number of points Collin earns for completing v voyages in a video game. How many points are earned for completing 8 voyages?
What is 4,000 points.
200
The length of a swimming pool is 5 feet shorter than twice the width. Let w represent the width. Write an expression that gives the length of the swimming pool.
What is 2w - 5.
200
Sandwiches cost $5, french fries cost $3, and drinks cost $2. The expression 5n + 3n + 2n gives the total cost, in dollars for buying a sandwich, fries, and drink for n people. What is another way to write this expression
What is 10n. (Combine like terms)
200
Ian bought a basketball for $23, three baseball caps, and a pair of running shoes for $37. To find the total cost in dollars, he wrote 23 + 3d + 37 = 23 + 37 + 3d. Which property does the equation show?
What is commutative property. The order changed.
300

Solve: 

3 = X / 2.50

What is 7.5
300
The expression (p/20) x 4 gives the time in minutes that a person will have to wait to ride a roller coaster when there are p people in front of him or her. How long will Marly have to wait if there are 60 people in front of her?
What is 12 minutes
300
The price of a skateboard is $5 less than 3 times the price of a pair of knee pads. Let k represent the price of the knee pads. Write an expression that gives the price of the skateboard.
What is 3k - 5
300

Solve: 9n = 126

What is n=14
300
Brandon bought 6 packs of football cards, p packs of hockey cards, and 4p packs of baseball cards. Brandon wrote this number sentence to find the total number of cards he bought. (6 + p) + 4p = 6 + (p + 4p) Which property did he use?
What is Associative Property Of Addition
400

Write and solve a subtraction equation: Bob Loblaw is on a diet to lose weight. After losing 26 pounds, Bob weighs 231 pounds. What was Bob Loblaw’s weight before his diet? 

Let w represent Bob’s original weight. 

What is w-26 = 231


Bob's originally weigh 257 pounds 

400
The difference in meters, that Sydney runs during track practice is equal to 400t + 100s, where t is the number of laps and s is the number of sprints. How far does Sydney run when she does 3 laps and 8 sprints?
What is 2,000 meters
400
Caleb bought jeans for $16 each. Let j represent the amount of jeans Caleb bought. He gave the cashier $80. Write an expression to represent the amount of change Caleb will receive. (assuming he doesn not spend more than he has)
What is 80 - 16j
400
Jackets cost $15 and a set of decorative buttons cost $5. The delivery fee is $5 per order. The expression 15n + 5n + 5 gives the cost, in dollars, of buying jackets with buttons for n people. What is another way to write this expression?
What is 20n +5 .
400
A restaurant owner bought b large bags of flour for $45 each and b large bags of sugar for $25 each. The expression b (45 + 25) gives the total cost, in dollars, of the flour and sugar. Use the distributive property to rewrite this expression.
What is b x 45 + b x 25. *** 45b + 25b
500

Write an equation and SOLVE 

A large pile of books is divided into four equal size stacks. Each stack has 37 books. How many books were in the original pile? Let p represent the number of books in the original pile.  

What is: 

P/ 4= 37

148 books in the original pile 

500
The formula P = 2 (l + w) gives the perimeter of a rectangle with length l and width w. What is the perimeter of a rectangular soccer field with a length of 120 yards and a width of 75 yards?
What is 390 yards.
500
On Saturday, Austin planted 10 rows of tomato plants with p plants in each row. On Sunday, he planted 6 rows of pepper plants with p plants in each row. Write an expression that gives the total number of plants Austin planted this weekend.
What is 10p + 6p = 16p
500
Scarves cost $12 and snowmen pins cost $2. Shipping is $3 per order. The expression 12n + 2n + 3 gives the cost, in dollars, of buying scarves with pins for n people. What is another way to write this expression?
What is 14n + 3
500
Use the distributive property to write an expression equivalent to 12b + 20y.
What is 4 x (3b + 5y)
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