Math- Expression

important information

100

What are the Order of Operations

The order of operations is Parenthesis, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

200

What is the expanded form of 4³?

4(4)(4)

300

how do you do order of operation step by step

first we solve any operations inside of parentheses or brackets, second we solve any exponents Third,we solve all multiplication and division from left to right fourth,we solve all addition and subtraction from left to right

400

In the expression 

2+(x-5)-3x+4(x²+7)

How many terms are there?

There are 4 

2, x-5, 3x, 4(x²+7)

500

What is the coefficient's job?

To be multiplied by the variable 

Expressions

100

Which value for d makes the expressions 3d − 4 and 12d ÷ 6 equivalent?

2 or 4?

4

3(4)-4=8

12(4)/6=8

200

What is an expression for 

the product of 6 and the difference of p and 3

6(p-3)

300

3 + 6 x (5 + 4) ÷ 3 - 7 what do you do first 

you will do the parentheses first 

400

Evaluate

42 − 6 * 4(1/2)³ = ________

39

500

A goat is placed in a circular pen with a radius of 15 feet. The formula for the area of a circle is A = πr², where r is the radius. If π = 3.14, on how many square feet of grass can the goat graze in the pen?

706.5 ft²

(3.14)15²

Combining like terms

100

3 + y + y + y = 3 + y³

^{True or False?}

False

3 + y + y + y = 3 +3y

200

5(2x + 9) = 10x + 45

True or False?

True

300

8z − 12 = 5(3z − 7)

True or False?

False

8z − 12 = 4(2z − 3)

400

18 + 4(m − 3) + 4m = 6 + 8m

True or False?

True

500

(5 + 8 ÷ 4 × 3)² − 7= ?

114

Mixed

100

The cost of a large pizza is $10.99.
Each additional topping costs $1.25.

Write an expression that can be used to find the cost of a pizza when x toppings are included.

$10.99 + 1.25x

200

Evaluate 

4x + 6 - x²

When x=2

10

4(2) + 6 - (2)²

4(2)+ 6 - 4

8 + 6 - 4

14 - 4

10

300

5 cubed equals what?

125

400

Mr. Rojas spent d dollars to go on vacation. He bought a plane ticket for $250 and stayed in a hotel for 5 nights.
If the cost of the hotel room was the same each night, what expression can be used to find how much Mr. Rojas paid each night for the hotel?

(d-250) /5

500

4 × (5 + 3)=4 × 8 what should you do first 

you should do parentheses first

Review

100

One size of cardboard can be purchased in sheets that are 3/16 inch thick. The sheets of cardboard are stacked on top of each other in packages. The height of each stack is 2 1/4 inches.

How many sheets are in the stack?

12

200

Mia has 7/8 pound of bird food. She puts an equal portion into 4 bird feeders. How much bird food, in pounds, does she put into each bird feeder?

7/12

7/8 divided by 4

300

A bag contains only red and blue marbles. There are a total of 36 marbles in the bag. There are 5 red marbles for every 4 blue marbles in the bag. A student removes 1 blue marble from the bag. The student reasons that there are now 5 red marbles in the bag for every 3 blue marbles since 4−1=3.

The student's reasoning is incorrect because the ratio values represent proportional parts rather than the actual number of marbles; after removing one blue marble, the actual ratio of red to blue marbles is 4:3

20 red to 16 blue now becomes 20 red to 15 blue

20/15 = 4/3

400

4 - 3 + 10 ÷ 5 × 2 =  0
what is the mistake in this problem 

there are no parentheses or exponents, leads many people to think they should begin by evaluating multiplication.

They should be dividing first because that's what you get to first. 

Answer is 5

500

Amy can ride her bike 4 miles in 30 minutes. Sebastian can ride his bike 3 miles in 24 minutes.

At his current rate, what is the distance, in miles, Sebastian can ride his bike in 12 minutes?

1.5 miles