Algebraic Reasoning Review

Exponents

100

5¹⁰ / 5⁶

What is 5⁴?

200

a⁶ X b⁹

What is cannot combine?

300

(7⁴)³

What is 7¹²?

400

11⁷ / 11⁶ 

What is 11¹ or 11?

500

y⁸ X y^-8

What is y⁰ = 1?

Scientific Notation

100

Write in Standard Notation: 

4.17 X 10³

What is 4,170?

200

Write in Scientific Notation:

0.000057 

What is 5.7 X 10^-5?

300

Write in Standard Notation

5.24 X 10⁸

What is 524,000,000? 

400

Write in Scientific Notation: 

6,500,000

What is 6.5 X 10⁶?

500

Write in Standard Notation: 

5.3 X 10^-8

What is 0.000000053?

Operating w/ Scientific Notation

100

(1.44 X 10¹³) X (3.5 X 10²)

What is 5.04 X 10¹⁵?

200

(6.52 X 10¹¹) + (8.08 X 10¹¹)

What is 1.46 X 10¹²?

300

(2.21 X 10⁹) / (2.6 X 10³) 

What is 8.5 X 10⁵?

400

(5.01 X 10³³) - (4.1 X 10³²)

What is 4.6 X 10³³?

500

(1.2 X 10⁹) + (7.77 X 10¹²)

What is 7.7712 X 10¹²?

Multi- Step Equations

100

Simplify the expression: 

3a² + 6 - 2a² + 9 + 5a

What is a² + 5a + 15? 

200

Solve: 

3y + 5y = 64

What is y = 8?  

300

10 (h+1) - 4 = 76

What is h= 7? 

400

5x - 2 + 3x = 17 + 12x - 23 

What is x = 1? 

500

3 (2x + 11) = 6x + 33

What is Infinitely Many Solutions? 

System of Equations

100

y = x + 1

y = 2x - 1 

What is (2,3)? 

200

y = 3x + 5

y = 3x - 10

What is no solution? 

300

x + y = 5

x - y = 3

What is (4,1)? 

400

4x + y = -17 

-3x + y = 4 

What is (-3, -5)? 

500

1/5 x + 3/8 y = 1/2 

2x + 3.75y = 5 

What is Infinitely many solutions?