ACT ASPIRE EXPRESSIONS Created by Educational Technology Network. www.edtechnetwork.com 2009

EXPONENTS EXPRESSIONS FRACTIONS or PERCENTS WORD PROBLEMS WHO KNOWS 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40 40 40 40 40 50 50 50 Final Jeopardy 50

2⁴•2²•2•2³ 2¹⁰ Exponents – 10 Points Simplify to a base with an exponent 2⁴•2²•2•2³ 2¹⁰

Exponents – 20 Points Simplify to a base with an exponent 5⁶•5³ 5⁴ 5⁵

9² • 9⁸ • 1 9⁷ 9³ Exponents – 30 Points Simplify to a base with an exponent 9² • 9⁸ • 1 9⁷ 9³

Exponents – 40 Points The volume of a fish tank is 10⁷ cubic centimeters. Using 10 as your length, width, and height, write an equivalent expression that would be equal to 10⁷. Answers will vary but 10 ⁴• 10²• 10 could be an answer

28 4² • 7⁰ • 4³• 7⁵ 4³ • 7⁴ • 4 Exponents – 50 Points Simplify to one number 4² • 7⁰ • 4³• 7⁵ 4³ • 7⁴ • 4 28

EXPRESSIONS – 10 Points What is the value of the following expression when w = 6 and y = -3 2w + 3y 3

EXPRESSIONS – 20 Points What is the value of the following expression when a = -2, b = 4, c = 5 b² - 2a + 3c 35

EXPRESSIONS – 30 Points What is the value of the following expression when f = -3 and g = 6 6f – 4g g² + 6 -1

EXPRESSIONS – 40 Points What is the value of the following expression when c = -2, w = 10, n = -5 (4c – n)² + w ÷ n 7

32.5 or 32½ EXPRESSIONS – 50 Points What is the value of the following expression when x = 4, y = 2, and z = 3 3(x + y) – 2z + 4y² 4 32.5 or 32½

FRACTIONS/PERCENTS – 10 Points What is ⅘ of 100? 80

FRACTIONS/PERCENTS– 20 Points A softball cost $5. If you buy a dozen or more, you get a 20% discount. How much would 24 balls cost? $96

FRACTIONS/PERCENTS – 30 Points What is ⅓ of 250? 83⅓

FRACTIONS/PERCENTS – 40 Points Mr. Griggs is buying packs of folders for his English class. Each student needs 5 folders. There are 32 students in class. Folders come 25 to a pack. To the nearest whole number, how many packs of folders need to be purchased. 7(6 is NOT ENOUGH)

FRACTIONS/PERCENTS – 50 Points Darius drank ⅝ of a 50 ounce energy drink. How much is left? Write your answer as a mixed number. 18¾

WORD PROBLEMS – 10 Points Landry has rectangle with a width 3 inches longer than the length. Write an expression WITHOUT parenthesis to model the area of the expression. x² + 3x

9½ WORD PROBLEMS – 20 Points Maria took a total of 12 quizzes over the course of 6 weeks. How many weeks of school will Maria have to attend this quarter before she will have taken a total of 19 quizzes? 9½

WORD PROBLEMS – 30 Points $5 A group of 5 adults and 10 children went to the movies. The price of all movie tickets are whole number. A total of $100 was spent on movie tickets. What was the cost of a child’s ticket? $5

WORD PROBLEMS – 40 Points Jill pays a $12 per month fee and $2.50 for every movie she rents. Jack pays a $20 per month and $1.50 for every movie he rents. Last month, they paid the same exact amount of money and rented the same number of movies. How many movies did each person rent? 8

FINAL JEOPARDY Two buses leave the same terminal at 9:00AM. One bus has a 26 minute round-trip route before it gets back to the station. The second bus has a 30 minute round-trip route before returning to the station. What is the earliest time both buses be at the terminal again at the same time? Answer is 3:30PM

WHO KNOWS – 10 Points QUESTION: How many steps using algebra to solve the following problem? 3(x – 5) + 2 = 20 ANSWER: 4

What other angles would be the same measure as angle 3 in the picture? WHO KNOWS – 20 Points What other angles would be the same measure as angle 3 in the picture? 4, 6, 7

WHO KNOWS – 30 Points Which scatter plot (use a letter) has a negative correlation? C

WHO KNOWS– 40 Points Find the volume of the following shape. On the ACT, you will be given a formula, here not so much. 960 cm³

WHO KNOWS – 50 Points Find the area of the green portion. 29.5 unit²