Math 7 Review

Distributive Property

100

What is the distributive property? Use this example to explain:    4(2x-1)

A mathematical rule that says if you multiply an expression by a number, all parts of the expression are multiplied by that number.   Therefore:

4(2x-1)
4(2x) 4(-1)
8x-4

200

Simplify using the distributive property:
7(3h + 5)

21h + 35

300

Where is the error in this math work? What is the correct work?

9 (3x-4) + 4
27x - 4 + 4
27x + 0
27x

9 should multiply both 3x and -4
27x - 36 + 4
27x - 32

400

Is this the distributive property?

5(2r-3) = (2r-3)5

No!  Extra points if you can name what property it is! 

Order of Operations

100

What IS the correct mathematical Order of Operations?

Parentheses
Exponents
Multiplication & Division
Addition & Subtraction

200

Do I add or multiply first?
5 (4b + 2)

The only step you can do is multiply!

300

What is the first and second step of solving?

-(7x+3)+4

First, multiply (7x+3) by -1
Then, combine like terms (add 4 to -3)

400

What order do I solve this in?

2²(3z+8)-10

First: Exponents- 2² = 4
Then: Multiply (Distribute)  4(3z+8) = 12z + 32
Finally:  Subtract (Like Terms)  32 - 10 = 22
Answer:  12z + 22

Misc. Math

100

Solve:

6x > 18

x > 3

200

What is the area of a rectangular yard that is 12 feet long and 2 yards wide?  (Remember to check details & include units)

The yard is 72 square feet (aka 72 ft²)

300

I buy a package of 2 cupcakes.  The weight of the whole package is 23.52 grams, and the packaging weighs 1 gram.  How much does one cupcake weigh?

One cupcake weighs 11.26

400

Multiply these fractions and simplify your answer:

(5/8) x (6/5) 

3/4

(5x6 = 30 = 3)
(8x5 = 40 = 4)