ALGEBRA Module 1-4 REVIEW-GAME

Simplify algebraic EXPRESSIONS

100

4(6n+7) 

24n + 28

200

2/3a + 1/3b

(2b+a)/3ab

300

7x² + 3x - 15x² - 3x

-8x² 

400

(x³y)⁵  times  xy divide by x¹⁰y⁵

x⁶y

500

A rectangular banner is x feet long. The width is 5 feet shorter. Calculate the perimeter and the area of the rectangle. 

Perimeter is x+(x-5)+x+(x-5) = 4x-10

Area is x(x-5) = x² - 5x

Square roots

100

11-square root of x,  where x=64

What is 3.

200

True of False: The square root of (-a)⁶ does not exist?

False! (-a)⁶ is positive a^6. You can take a square root of a positive number. The answer is a³

300

the square root of (144a²b⁴c⁶) 

12ab²c³

400

Square root of ( 3x times 3y times -x times y) 

Not possible. Since the under root expression is negative 

500

Between which two whole numbers lies the square root of 21? 

Between 4 and 5. Because 21 is between 16 and 25. Sqrt of 16 is 4, sqrt of 25 is 5 

Know the vocabulary

100

How do you call the following terms:

3x   and x

Like terms

200

What is the name of the following law:

a (b+c) = ab+ac

No banana! 

DISTRIBUTIVE LAW

300

What is the opposite operation for square root?  

Squaring 

400

What is the square root of a negative number? Give a proof

It is not possible. Because by definition the square root of a number is a factor multiplied with itself to get this number

500

(-3/2a)^-3

-8a³/27

WRITING AN EXPRESSION

100

The product of 21 and any number

21x

200

4 more than half a number

x/2 + 4

300

14 less than twice a number

2x-14

400

?

What is x>5 or x<-1.

500

?

What is look at graph.

Mixed challenges

100

Simplify: 

(1/b times 1/a ) times b 

1/a

200

x²x⁵y²x - y²

x⁸y² - y²

300

Luca and Lucca together have 19 apples. If Luca has 3 apples less than Lucca, find the number of apples Lucca has. 

Lucca has 11 apples

400

How many minutes are in one day? :) 

1440 minutes

500

(67m - 33g) - (99m - 33g) 

- 32m