Lesson 7 6
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This document provides the answers to homework problems from Lesson 7-6 of a textbook. It works through the steps of 6 sample problems, providing the solutions. It then lists the answers to 20 additional problems. It concludes by directing students to work as a group on an activity from Pearson SuccessNet, dividing up problems to complete within 10 minutes.
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Question 1
1. Determine which of the following points lies on the graph of the equation:
(0,7)
(0,6)
(0,5)
(6,5)
(1,5)
Question 2
Complete the table. Use the resulting solution points to sketch the graph of the equation.
Question3
Graphically estimate the x- and y- intercepts of the graph:
y = x3 - 9x
x-intercept: (賊3,0),(0,0)
y-intercept: (0,0)
x-intercept: (3,0),(0,0)
y-intercept: (0,0)
x-intercept: (-3,0),(0,0)
y-intercept: (0,0)
x-intercept: (0,賊3),(0,0)
y-intercept: (0,0)
x-intercept (0,3),(0,0)
y-intercept (0,0)
Question 4
Find the x- and y-intercepts of the graph of the equation
y=49-7x
x-intercept: (7,0)
y-intercept: (0,-7)
x-intercept: (49,0)
y-intercept: (0,7)
x-intercept: (-7,0)
y-intercept: (0,-49)
x-intercept: (49,0)
y-intercept: (0,49)
x-intercept: (7,0)
y-intercept: (0,49)
Question 5
Determine whether the value of x=7 is a solution of the equation:
2.
no
yes
Question 6
Solve the equation 8-5x=6
Question 7
Solve the equation and check your solution.
-2-4x=30
9
-11
-8
7
-10
Question 8
Solve the equation and check your solution.
5y + 1 = 6y - 5 + 8y
2/3
3/2
6/5
5/6
-2/3
Question 9
Solve the equation and check your solution.
67x - 24 = 3x + 8(8x-3)
3
67
-3
-67
All real numbers
Question 10
Solve the equation and check your solution.
10
6
7
9
8
Question 11
Solve the equation and check your solution. (If not possible, explain why.)
2
5
6
4
10
Question 12
3.
4. Solve the equation and check your solution. (If not possible, explain why)
5.
-18
7
11
No solution. The variable is divided out.
20
Question 13
Write the quadratic equation in general form.
4x2 = 8 - 9x
4x2 + 9x + 8 = 0
4x2 + 9x = -8
4x2 - 9x - 8 = 0
-4x2 + 9x - 8 = 0
4x2 + 9x - 8 = 0
Question 14
Solve the quadratic equation by factoring.
x2 - 6x + 5 = 0
-1, 5
-1,-5
1,-5
1,5
6,5
Question 15
Solve the quadratic equation by factoring.
x2 + 8x + 16 = 0
4
-1/4
-4
賊4
1/4
Question 16
Solve the equation by extracting square roots.
(x+6)2 = 5
6 + 5
-6 賊 5
-6 -5
6 賊 5
-6 + 5
Question 17
Use the Quadratic Formula to solve
x2 + 20x + 98 = 0
x = -8, x = -12
x = -2 - 10, x = 2 - 10
x = -3 - 10, x = 3 - 10
x = 10, x = -10
x = -2 - 9, x = 2 - 9
Question 18
Write the complex number in standard form.
-9
3i
-3i
9i
4i
-9i
Question 19
Find real numbers a and b such that the equation is true.
a + bi = 14 + 2i
a=16, b=4
a=18, b=6
a=14, b=2
a=15, b=14
a=17, b=5
Question 20
Find all solutions to the following equation.
x = -17/4
x=9
no solution
x=-17
x=-8
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- Sample problems worked through each concept
- Reminders about proportional relationships and using graphs to determine proportionality
- Well wishes for the final examOne Step Equations
One Step Equationstoni dimella
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The document provides examples of solving one-step equations involving addition, subtraction, multiplication, and division. It includes sample equations for students to solve with the answers provided. Key steps shown are isolating the variable by adding/subtracting like terms or multiplying/dividing both sides by the coefficient.1 step equations
1 step equationslymitch
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The document provides examples of solving one-step equations involving addition, subtraction, multiplication, and division. It includes sample equations for students to solve with the answers provided. Key steps shown are isolating the variable by adding/subtracting like terms or multiplying/dividing both sides by the coefficient.November 30, 2015
November 30, 2015khyps13
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The document provides an introduction and overview of inequalities for a math class. It includes:
1) A discussion of the key differences between equations and inequalities, noting that inequalities can have a range of solutions rather than a single value.
2) Examples of how to write inequalities using appropriate symbols (<, >, , ) and an explanation of open vs. closed circles on a number line.
3) Steps for solving linear inequalities, with the reminder that the inequality sign must be flipped when multiplying or dividing both sides by a negative number.
4) Practice problems for students to solve and graph inequalities on a number line.Multiplication and Division of Integers
Multiplication and Division of IntegersFree Math Powerpoints
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Reference:
Nivera, G. C. (2013), Grade 7 Mathematics: Pattern and Practicalities. Don Bosco Press Inc. Makati City, Philippines.More from Greater Atlanta Christian (20)
Solving equations with fractions2
Solving equations with fractions2Greater Atlanta Christian
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This document provides examples of solving equations involving fractions. It shows the steps to solve equations by combining like terms on both sides of the equal sign. The examples demonstrate adding and subtracting fractions and solving for the variable. Key steps include multiplying both sides by the least common denominator to remove fractions, combining like terms, and then solving for the variable.
Ln25 mth7
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The document contains lesson materials on dividing fractions including vocabulary definitions, example problems, and homework assignments. It introduces dividing fractions, provides examples of dividing unit fractions and mixed numbers, and asks students to find the number of quarters in six dollars using the concept of the reciprocal. The final section assigns homework problems for students to complete.
Ln23answersGreater Atlanta Christian
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Yin has 25 tickets, Bobby has 12 tickets, and Mary has 8 tickets. Yin should give Bobby 7 tickets and Mary 5 tickets so that they will all have the same number of tickets, which is 18.Ln20&21 mth7
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This lesson covers exponents, rectangular area, square root, prime and composite numbers, and prime factorization. Key terms are defined like area, base, exponent, square root, prime, composite, and factor tree. Examples are given to illustrate exponent rules, calculating area, listing prime numbersLn19 mth7
Ln19 mth7Greater Atlanta Christian
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The document is a math worksheet that provides problems and answers related to finding perimeters of different shapes such as squares, rectangles, triangles, and other polygons. It includes word problems asking students to calculate distances, percentages, fractions, and geometric measurements like side lengths and angles. The document contains instructions for calculating perimeters of common shapes.Ln18 mth7
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A 9 in by 9 in dish of casserole serves 9 people. To serve 70 people, we need to calculate how many 12 in by 12 in dishes are needed. To do this, we calculate the ratio of people served to dish size and scale it up to serve 70 people. This determines that 7.77 or 8 dishes of the larger size are needed to serve 70 people.Lesson 7 6
- 1. Lesson 7-6Textbook Homework AnswersUse a pen to check. Some problems have been done for you.
- 2. Problem 2Add 1 to each side, simplify, multiply each side by 2, simplify
- 3. Problem 64x 9 > -74x 9 + 9 > -7 + 94x > 24x/4 > 2/4X > 遜 On the number line, open circle on 遜 (which is between 0 and 1) with arrow going to the right
- 4. Problem 10b/-7 + 7 6b/-7 + 7 7 6 7b/-7 -1b/-7 (-7) -1 (-7)b 7
- 5. Problem 16(x/-3) 1 5(x/-3) 1 + 1 5 + 1(x/-3) 6-3 (x/-3) -3 (6)X -18
- 6. Problem 18x/3 + 11 < 31x/3 + 11 11 < 31 11x/3 < 203 (x/3) < 3 (20)X < 60
- 7. Problem 20x/-6 2 < 4x/-6 2 + 2 < 4 + 2x/ -6 < 6-6 (x/-6) > -6 (6)X > -36
- 8. Problem 242 + 1.25x + 1 103 + 1.25x 103 + 1.25x 3 10 31.25x 71.25x/1.25 7/1.25X 5.6The farthest you can go is 5.6 miles
- 9. Answers4) m > -4; open circle arrow right6) X > 遜; open circle arrow right8) A 4; closed circle arrow right10) B 712) X -214) M > -716) X -1818) X < 6020) X > -3622) A -224) 5.6 miles26) The student simplified -36/-12 to -3 instead of 3
- 10. Go To Pearson SuccessNetOpen up your activities page.As a group do the Puzzle: A Reading Assignment. Divide up the problems among your group. You will have about 10 minutes to complete this activity.