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Madre/Padre/Tutor: Su hija/o va a tener una prueba en estos objetivos. Cuantos entiende?_____ (Parent/Guardian: Your child will take a test on these objectives. How many does she/he understand?____) Name:_________________________________ Date.:________________________ Per: _____ X___________________________________ Firma de padre/guardian (Parent/Guardian signature) STUDY GUIDE – Quiz #3 CA Algebra Standard 1.0 Students identify and use properties of real numbers 2.0 Students understand and use such operations as taking the opposite and finding the reciprocal. 5.0 Students solve multistep problems, including word problems, involving linear equations. Test Objectives Textbook chapter and pages Problems on the Test will be very similar to these problems. You must do all of these problems for homework Rate your understanding 1 to 5 1.4 (p.21) I. Use properties of real numbers 1.5 (p. 26) See problems 1-2 1.6 (p. 33) II. Understand operations such as taking the opposite and finding the reciprocal III. Solve equations with grouping symbols 1.4 (p.21) See problems 3-4 2.5 See problems 5-9 (p. 98) IV. Write and solve equations from a word problem 2.1 (p.70) See problem 10 YOU ARE RESPONSIBLE FOR THESE LESSON OBJECTIVES. YOU WILL BE TESTED FOR YOUR COMPREHENSION AND MASTERY OF EACH OBJECTIVE. I am still confused about - I need more help in - I do not understand: __________________________________________________________________________________________________ _________________________________ __________________________________________________________________________________________________ _________________________________ __________________________________________________________________________________________________ _________________________________ __________________________________________________________________________________________________ _________________________________ __________________________________________________________________________________________________ _________________________________ __________________________________________________________________________________________________ _________________________________ __________________________________________________________________________________________________ _________________________________ __________________________________________________________________________________________________ _________________________________ __________________________________________________________________________________________________ _________________________________ 1) If a + b = 0 is a true statement, then which of 6 5 3) What is the reciprocal of ? the following must also be true? a) a + b = 1 a) b) a = -b c) a - b =0 d) a = b 2) If a • b = 0 is a true statement, then which of 6 5 5 c) 6 b) a = -b c) a =0 or b =0 d) 6 5 7 3 4) What is the multiplicative inverse of ? 3 7 7 b) 3 a) d) a = b 5) Which equation is equivalent to 8(x + 5) - 3(x + 5) = 50 a) 11x + 55 = 50 b) 5x + 55 = 50 b) the following must also be true? a) a + b = 1 5 6 2 3 7 7 d) 3 c) c) 11x + 10 = 50 d) 5x +25 =50 6) Which equation is equivalent to 6x + 8(x - 5) = 9 + x? a) b) c) d) 13x = -31 15x = -31 15x = 49 13x = 49 7) Which step in the solution to the right has a mistake? a) b) c) d) Step 1 Step 2 Step 3 Step 4 Step Step Step Step 8) What is the value of x in the equation below? SHOW ALL YOUR WORK 9) What is the value of x in the equation below? SHOW ALL YOUR WORK 2x 3(2x 4) 20 9x + 10 = 2(2x - 4) + 3x 10. 1 2 3 4 5(x + 7) = 7x – 3(x + 9) 5x + 7 = 7x – 3x + 9 5x + 7 = 4x + 9 x+7=9 x=2 PacBell phone company charges a set up fee of $45.00 and $23.00 per month for long distance service. AT&T phone company charges a set up fee of $33.00 and then a monthly fee of $19.00 per month for phone service. * Write a variable expression for the total cost of cable from PacBell phone company. * Write a variable expression for the total cost of cable from AT&T phone company. Define the variable. PacBell phone company: AT&T phone company: 3 Mrs. Reynoso signs a 12 month contract for phone installation and service. Calculate the total cost that each phone company charges for this service. Show all your work. PacBell phone company: AT&T phone company: If Mrs. Reynoso signs a contract to have a phone service installed and monitored for 16 months, which company has a lower total cost? Provide an explanation, and show all of your work. 4