STEPS FOR FULL CREDIT 1. Complete, show all work 2. Check 3. Correct
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1 Accelerated Review 4: Equations Name: STEPS FOR FULL CREDIT 1. Complete, show all work 2. Check 3. Correct For all problems show the equation and all steps in solving Which equation has a solution of 12? A 6 = 6 B + 6 = 6 C 4 = 16 D 4 = 8 + Jeff found 3 times as many seashells as his sister. Jeff found 39 seashells. Which of the following equations could be used to find how many seashells his sister found? A + 3 = 39 B 3 = 39 C 3 = 39 D = 39 3 Write and solve an equation to answer the question in the problem below. A student bought a juice drink for $1.75 and a sandwich. The total cost was $5.50. How much was the sandwich? My equation to solve this problem: y 4. Determine value of y that satisfies the equation: 9 = Jamie has 6 quarters and some dimes in his pocket. The total value of the coins is $4.50. How many dimes does he have in his pocket? My equation to solve this problem: 6. Renting a bicycle costs $15 for the first hour and $5.50 for each additional hour. Let represent the number of additional hours. If you have $25 to spend, which of the following equations could be used to find how many hours you can rent a bicycle? A = 25 C = 25 B = 25 D = Solve the equation for = Write and solve an equation for the problem below. A student bought two juice drinks for $1.75 each and three sandwiches. The total cost was $ How much did each sandwich cost? My equation to solve this problem:
2 9. Find a number such that the number decreased by 11 is 28. A 39 B 308 C 17 D Solve the equation for g g = Solve the equation below. Graph the solution on the number line. w 7 + = 6 2 Solve the equation below. Graph the solution on the number line w = 9 Solve each equation. You do not have to check your answer b 13. = g + 2 = 10 e = = Write an equation for each situation and then solve. Make sure your equation matches the story and that you have not started solving the problem as part of the equation Si of Mr. Mangham s students decide to go visit their relatives at the zoo. Each student buys a ticket to get into the zoo and all together they spend $45 at the gift shop. If their total cost for the day was $93, how much did a single zoo ticket cost? Mr. Mangham bought 150 football cards to add to his collection. The net day Snuffy the Seal ate one half of his collection. Now there are only 360 cards left. How many cards did Mr. Mangham start with? Variable: Variable: Equation Answer
3 19. The equation = 9 is modeled below. What value of makes the equation true? = = 10 Describe the differences in solving the two problems. = You do not have to actually solve the problems. Write 5 5 your eplanation below. 20. Use this page plus your knowledge of Hands-On Equations to solve the following equations on the scales below. Use arrows, circles, lines, etc. to show pieces being added or deleted. _ positive negative For the positive and negative integers write the appropriate number in the square = =
4 Simplify the epression below by using the distributive property. 2(5 + 1) Eastville has a population of 32,000 and is gaining 500 people per year. Lakeside has a population of 45,000 and is losing 1,000 people per year. When will Eastville have the same number of people as Lakeside? A years B years C years D years 25. What is the solution to the equation below? = Use the table for questions below. Two Window-Washing Companies Company Clean Fast See Out Cost $15 plus $2 per window $5 plus $3 per window Which epressions show the cost for each company, where is the number of windows? 26. A Clean Fast See Out B Clean Fast See Out 5+ 3 C Clean Fast (15 + 2) See Out (5 + 3) D Clean Fast See Out Mrs. Shepherd counts her windows and discovers the companies will charge the same amount. What can you conclude? 27. A B C D She gets a discount. She has 10 windows. She has more than 10 windows. She had fewer than 10 windows
5 Use the situation for questions below. A red car and a blue car are traveling at the same speed. The red car drives 3 hours. The blue car drives another half hour and goes 25 more miles. d = rt (distance = rate time) 28. Let be the speed of the cars. What is the distance covered by the blue car? A 0.5 B 3 C 3.5 D 25 Which equation can be solved to find how fast the cars are going? 29. A 2 30 = 3.5 C = 3.5 B 3 25 = 3.5 D = Solve: = Use the distributive property to write an equivalent epression to the one below. 4(5 + 2 ) Which of the following epressions are equivalent to 7( a b)? There may be more than one answer. I 7a 7b II 7b 7a III ( a b) 7 IV 7ab Which of the following epressions are equivalent to 4 + 2y + 2? There may be more than one answer. I 2(2 + y + ) II 2(3 + y) III 8y IV 6 + 2y Siteen less than three times the number Izabella is thinking of is 1. What number is she thinking of? Mr. Mangham loves to go to the zoo. The local zoo charges $5 to park and $12 each time he visits. He can also choose to have a membership for one year for $68 with free parking. How many times would he need to visit for the membership to have paid for itself?
6 The perimeter of a rectangle can be found by adding the length of all four sides together. 36. How far did Mr. Mangham walk if he walked around the perimeter of the rectangle two times? Define a variable, write an equation for each situation, and then solve. Show all work. Define Variable Original Equation 37. Three consecutive even integers add up to 24. Find the three integers. Answer 38. Ms. Johnsen spent $331 one Saturday on make-up. Her lip stick cost four times as much as her blush. Her eye shadow cost $5 less than two times her blush. If these were the only three items she bought, how much did each item cost? Use the distributive property (when necessary) and combine like terms to simplify each epression. Show all work (3a + 4) 4(8a 1) 41. MegaMe has a height of (8 2) inches and MiniMe has a height of (50 3 ) inches. If MiniMe stands on MegaMe s head, what would be their combined heights? 42. In the question above, how much taller is MegaMe than MiniMe?
7 Solve each equation. Show all work and all steps. You do not have to check your answer. 43. v + 8v 13 = (2 + 3) = b + 4 = 2b (3d 4) = 55 Define a variable, write an equation for each situation, and then solve. You do not have to check. Define Variable Answer Original Equation 47. William has a sister that is three years older than he is. Eight years from now the sum of their ages will be 193. How old is William s sister right now? The DIS yearbook will have pages with a perimeter of 36 inches. If the length is two inches more than the width, what are the dimensions of each page? Mrs. Bailey has a choice of two phone plans when she goes overseas for a month: $60 a month plus $0.20 per tet $40 a month plus $0.25 per tet How many tets would she need to send in a month for the price of both plans to be equal? 50. Use the balance below to represent the equation = Then solve. = =
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Chapter 2 Lesson 2.1 1. Absolute value represents the distance from zero when graphed on a number line. 2. proper fractions, improper fractions, equivalent 3. There are many possible answers. Some examples
Systems of Equations. Red Company. Blue Company. cost. 30 minutes. Copyright 2003 Hanlonmath 1
Chapter 6 Systems of Equations Sec. 1 Systems of Equations How many times have you watched a commercial on television touting a product or services as not only the best, but the cheapest? Let s say you
Grade 7 Mathematics Test Booklet
Student Name P Grade Test Booklet Practice Test TEST BOOKLET SECURITY BARCODE Unit 1 Unit 1 Directions: Today, you will take Unit 1 of the Grade Practice Test. Unit 1 has two sections. In the first section,
3. Find the area of each rectangle shown below. 4. Simplify the expressions below. 5. If the expression 3a 2 9. is equal to 3, what is the value of d?
Permitted resources: 2018 2019 Algebra 1 Midterm Review FSA Approved calculator Algebra 1 FSA Reference Sheet 1. The expression 13x + 5 represents the number of marbles you have after purchasing 13 bags
6th Grade. Translating to Equations. Slide 1 / 65 Slide 2 / 65. Slide 4 / 65. Slide 3 / 65. Slide 5 / 65. Slide 6 / 65
Slide 1 / 65 Slide 2 / 65 6th Grade Dependent & Independent Variables 15-11-25 www.njctl.org Slide 3 / 65 Slide 4 / 65 Table of Contents Translating to Equations Dependent and Independent Variables Equations
a. Bob: 7, Bridget: 4, Brian 1 b. Bob: 7, Bridget: 4, Brian 3 c. Bob: 7, Bridget: 14, Brian 3 a. 100 b. 150 c c. 2 d.
Period: Date: K. Williams 8th Grade Year Review: Chapters -4. A neighborhood pool charges $22 for a pool membership plus an additional $2 for each visit to the pool. If Elliot visited the pool 6 times,
6th Grade. Dependent & Independent Variables
Slide 1 / 68 Slide 2 / 68 6th Grade Dependent & Independent Variables 2014-10-28 www.njctl.org Slide 3 / 68 Table of Contents Translating to Equations Dependent and Independent Variables Click on a topic
Pre-Test Chapter
Pre-Test Name Date 1. The equation 3x 2 11 is solved as shown. Describe the inverse operations used in each step. 3x 2 11 Step 1: 3x 2 1 11 1 3x 1 Step 2: 3x 1 3 x In Step 1, was added to both sides of
3. Find the area for each question below. a. (3x 2)(2x + 5) b. 4. Simplify the expressions below. is equal to 1, what is the value of a?
Permitted resources: 2018 2019 Algebra 1 Midterm Review FSA Approved calculator Algebra 1 FSA Reference Sheet 1. The expression 13x + 5 represents the number of marbles you have after shopping at the game
Algebra 1 Chapter 1 Test Review
Algebra 1 Chapter 1 Test Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which expression shows 3 less than x? A. B. 3x C. D. 6. Which is a correct
Winter-Break Packet 7 th grade mathematics
M.S. 181 PABLO CASALS CHRISTOPHER WARNOCK, PRINCIPAL 800 BAYCHESTER AVENUE, BRONX, NY 10475 PHONE: 718-904-5600 Conceive, it, Believe it, Achieve it! Winter-Break Packet 7 th grade mathematics Student:
Algebra I Midterm Exam Review
Chapter 1: Expressions, Equations, and Functions Lesson 1.1 Variables and Expressions Write a verbal expression for each algebraic expression. 23f 5m 2 + 2c 3 4n 1 7 Write an algebraic expression for each
Algebra 1 Unit 3 Practice
Lesson 1-1 Use the table for Items 1 and. Canoe Rental Days Cost ($) 1 5 3 78 5 1 7 13 1. Use function notation to write a linear function that gives the cost C in dollars of renting a canoe for t days.