Welcome to your ALMOST THERE! In honor of your Unit 2 Summative Assessment tomorrow, Mr. Lim and I have created an AWESOME study guide that we will go through today! Got your paper, your pencils and your brains ready?
1. What is the solution to the equation? 𝑦 2 = 144 12 -12 12 or -12 72
2. Which set of numbers is ordered from least to greatest? {√16, √11, 2 ¼ , 4} {- 4, -√5, ½ , 1.8} {-2.82, - √16, - √19, - √17} {√10, -4.6, 3.5, ¾ }
3. What is the value of 3 27 ? No Solution 9 3 or -3 3
4. Using exponents, what is the simplified version of 20𝑦 7 2𝑦 5 ? 10y 2 2y 12 10y 12 2y 2
5. Which number best represents the 3rd red point on the graph? √3.2 √10 √2. 9 √3.8
6. Recently in the United States, there were about 400,000 people who use the iPhone. That same year, there were 6.3x 10 6 people in the world that used iPhones. How many more people used iPhones in the world than the US?
7. Find 3 729
8. The band is selling 100 hats for a fundraiser 8. The band is selling 100 hats for a fundraiser. Each hat is being sold for $15. The hats cost a total of $500 to make. If they sell all the hats, how much profit will the band make?
9. Below is a matrix of the eight planets in our solar system and their respective distances from each other. Each distance is calculated as an average and converted into astronomical units (AU) where 1 AU = the distance between the Sun and Earth = 149,598,000 kilometers. How far is Venus from Uranus in km in scientific notation? MERCURY VENUS EARTH MARS JUPITER SATURN URANUS NEPTUNE 0.33 AU 0.61 AU 1.13 AU 4.81 AU 9.15 AU 18.75 AU 29.67 AU 0.28 AU 0.80 AU 4.48 AU 8.82 AU 18.42 AU 29.34 AU 0.52 AU 4.20 AU 8.54 AU 18.14 AU 29.06 AU 3.68 AU 8.02 AU 17.62 AU 28.54 AU 4.34 AU 13.94 AU 24.86 AU 9.60 AU 20.52 AU 10.92 AU
10. Simplify using the laws of exponents: 84𝑐 8 −12 𝑐 24
11. The volume of Pluto is 6,434,000,000,000m³ 11. The volume of Pluto is 6,434,000,000,000m³. Write this number in scientific notation:
12. Evaluate the expression. Express the result in Scientific Notation (2.8 x 10 2 )(1.2 x 10 −4 )
13. Graph 28 on the number line
14. Using Exponents. What is the simplified form of (−6 𝑥 5 𝑦 3 ) 2 -12 𝑥 7 𝑦 5 12 𝑥 7 𝑦 5 -36 𝑥 10 𝑦 6 36 𝑥 10 𝑦 6
15. Simplify using the Laws of Exponents 15. Simplify using the Laws of Exponents. Write each expression using a positive exponent -5 𝑥 3 𝑦(-2x 𝑦 2 )
16. Solve each equation -4x = 70+6x 10 7 -7 All real numbers
17. Solve for m 6(m+5) = -3 (-5 – m) +4
18.Translate each sentence into an equation Negative 3 times the Difference of a number and 9 is 13
19. Solve each equation 𝑥+10 5 = -20 All real numbers -110 -130 130
20. Name all sets of numbers to which each real number belongs. 0 Real and Rational Real and Irrational Real, Rational, and integer Real, Rational, Integer, and Whole
21. Name all sets of numbers to which each real number belongs − 49 Real and Rational Real and Irrational Real, Rational, and Integer Real, Rational, integer, and whole.