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Gina Wilson All Things Algebra Answer Key | Gina Wilson All things Algebra 2015

In the realm of mathematics education, finding reliable resources that support effective learning can be a challenging task. However, Gina Wilson All Things Algebra is a comprehensive platform that provides educators and students with valuable tools to enhance their mathematical knowledge. One of the key features of this platform is the availability of the answer key, which serves as a vital resource for learners seeking to validate their solutions and progress in their mathematical journey. In this article, we will delve into the benefits of Gina Wilson All Things Algebra and explore how the answer key can be accessed and utilized effectively.

Expansions factorisations

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Linear equations

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Order of operations

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Quadratic formular

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Remainder theorem

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Subject of formula

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Financial arithmetic

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Complementary supplementary angles

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L shapes perimeter area

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Surface area of complex figures

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Volume of cylinder

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Number system

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 Sets

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Coordinates 1

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Ploting graphs

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Table of data 1

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What is Gina Wilson All Things Algebra?

Gina Wilson All Things Algebra is an educational platform developed by Gina Wilson, an experienced mathematics educator. It offers a wide range of resources, including curriculum materials, lesson plans, activities, and assessments, designed to promote a deeper understanding of algebraic concepts. The platform caters to both teachers and students, providing them with the necessary tools to excel in algebraic reasoning and problem-solving.

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How to Access the Answer Key

To access the answer key on Gina Wilson All Things Algebra, users need to have an account on the platform. Once logged in, they can navigate to the desired resource or worksheet and locate the answer key section. The answer key provides step-by-step solutions to the exercises, allowing students to verify their work and gain a better understanding of the mathematical concepts involved.

Exploring the Answer Key Features

The answer key on Gina Wilson All Things Algebra offers various features that enhance the learning experience. Some notable features include:

  • Detailed Solutions: The answer key provides comprehensive and detailed solutions to the exercises, enabling students to identify any errors and learn from them.
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  • Utilize Feedback: When using the answer key, pay attention to the feedback provided. Understand the mistakes made and use them as learning opportunities to improve problem-solving skills.
  • Seek Clarification: If any concepts or solutions remain unclear, reach out to teachers or fellow students for clarification. Effective communication is key to resolving doubts and gaining a deeper understanding of algebra.

Frequently Asked Questions (FAQs)

  • The cost varies depending on the subscription plan chosen. It is best to visit the official website for detailed pricing information.
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  • Yes, Gina Wilson All Things Algebra provides technical support to address any issues or concerns users may encounter. Reach out to their support team for prompt assistance.

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The Birth of All Things Algebra 2015

All Things Algebra 2015 was born out of Gina Wilson's desire to provide teachers with a comprehensive and easy-to-use curriculum that would help them engage their students and promote deep understanding of mathematical concepts. Recognizing the need for high-quality resources, Gina Wilson set out to create a platform that would serve as a one-stop-shop for educators seeking effective teaching materials.

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1. comprehensive curriculum.

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To stay at the forefront of mathematics education, Gina Wilson continuously updates and improves All Things Algebra 2015. She actively seeks feedback from teachers and students, incorporating their suggestions into future releases. This commitment to ongoing development ensures that the resources remain relevant, aligned with current standards, and reflect the evolving needs of educators.

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1. Can All Things Algebra 2015 be used in homeschooling?

Absolutely! All Things Algebra 2015 is a versatile resource that can be used in various educational settings, including homeschooling. Its comprehensive curriculum and engaging activities make it an ideal choice for homeschooling parents.

2. Are the resources in All Things Algebra 2015 aligned with curriculum standards?

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3. Is there a free trial available for All Things Algebra 2015?

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5. How often are new resources added to All Things Algebra 2015?

Gina Wilson is dedicated to continuous improvement and regularly adds new resources to All Things Algebra 2015. Updates are released periodically to enhance the curriculum and address emerging educational trends.

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1.1 Real Numbers: Algebra Essentials

  • ⓐ 11 1 11 1
  • ⓒ − 4 1 − 4 1
  • ⓐ 4 (or 4.0), terminating;
  • ⓑ 0. 615384 ¯ , 0. 615384 ¯ , repeating;
  • ⓒ –0.85, terminating
  • ⓐ rational and repeating;
  • ⓑ rational and terminating;
  • ⓒ irrational;
  • ⓓ rational and terminating;
  • ⓔ irrational
  • ⓐ positive, irrational; right
  • ⓑ negative, rational; left
  • ⓒ positive, rational; right
  • ⓓ negative, irrational; left
  • ⓔ positive, rational; right
a. X X
b. 0 X X X
c. X X X X
d. X
e. 4.763763763... X
  • ⓐ 11, commutative property of multiplication, associative property of multiplication, inverse property of multiplication, identity property of multiplication;
  • ⓑ 33, distributive property;
  • ⓒ 26, distributive property;
  • ⓓ 4 9 , 4 9 , commutative property of addition, associative property of addition, inverse property of addition, identity property of addition;
  • ⓔ 0, distributive property, inverse property of addition, identity property of addition
Constants Variables
a.
b. 2(L + W) 2 L, W
c. 4
  • ⓒ 121 3 π 121 3 π ;
  • ⓐ −2 y −2 z or  −2 ( y + z ) ; −2 y −2 z or  −2 ( y + z ) ;
  • ⓑ 2 t −1 ; 2 t −1 ;
  • ⓒ 3 p q −4 p + q ; 3 p q −4 p + q ;
  • ⓓ 7 r −2 s + 6 7 r −2 s + 6

A = P ( 1 + r t ) A = P ( 1 + r t )

1.2 Exponents and Scientific Notation

  • ⓐ k 15 k 15
  • ⓑ ( 2 y ) 5 ( 2 y ) 5
  • ⓒ t 14 t 14
  • ⓑ ( −3 ) 5 ( −3 ) 5
  • ⓒ ( e f 2 ) 2 ( e f 2 ) 2
  • ⓐ ( 3 y ) 24 ( 3 y ) 24
  • ⓑ t 35 t 35
  • ⓒ ( − g ) 16 ( − g ) 16
  • ⓐ 1 ( −3 t ) 6 1 ( −3 t ) 6
  • ⓑ 1 f 3 1 f 3
  • ⓒ 2 5 k 3 2 5 k 3
  • ⓐ t −5 = 1 t 5 t −5 = 1 t 5
  • ⓑ 1 25 1 25
  • ⓐ g 10 h 15 g 10 h 15
  • ⓑ 125 t 3 125 t 3
  • ⓒ −27 y 15 −27 y 15
  • ⓓ 1 a 18 b 21 1 a 18 b 21
  • ⓔ r 12 s 8 r 12 s 8
  • ⓐ b 15 c 3 b 15 c 3
  • ⓑ 625 u 32 625 u 32
  • ⓒ −1 w 105 −1 w 105
  • ⓓ q 24 p 32 q 24 p 32
  • ⓔ 1 c 20 d 12 1 c 20 d 12
  • ⓐ v 6 8 u 3 v 6 8 u 3
  • ⓑ 1 x 3 1 x 3
  • ⓒ e 4 f 4 e 4 f 4
  • ⓓ 27 r s 27 r s
  • ⓕ 16 h 10 49 16 h 10 49
  • ⓐ $ 1.52 × 10 5 $ 1.52 × 10 5
  • ⓑ 7.158 × 10 9 7.158 × 10 9
  • ⓒ $ 8.55 × 10 13 $ 8.55 × 10 13
  • ⓓ 3.34 × 10 −9 3.34 × 10 −9
  • ⓔ 7.15 × 10 −8 7.15 × 10 −8
  • ⓐ 703 , 000 703 , 000
  • ⓑ −816 , 000 , 000 , 000 −816 , 000 , 000 , 000
  • ⓒ −0.000 000 000 000 39 −0.000 000 000 000 39
  • ⓓ 0.000008 0.000008
  • ⓐ − 8.475 × 10 6 − 8.475 × 10 6
  • ⓑ 8 × 10 − 8 8 × 10 − 8
  • ⓒ 2.976 × 10 13 2.976 × 10 13
  • ⓓ − 4.3 × 10 6 − 4.3 × 10 6
  • ⓔ ≈ 1.24 × 10 15 ≈ 1.24 × 10 15

Number of cells: 3 × 10 13 ; 3 × 10 13 ; length of a cell: 8 × 10 −6 8 × 10 −6 m; total length: 2.4 × 10 8 2.4 × 10 8 m or 240 , 000 , 000 240 , 000 , 000 m.

1.3 Radicals and Rational Exponents

5 | x | | y | 2 y z . 5 | x | | y | 2 y z . Notice the absolute value signs around x and y ? That’s because their value must be positive!

10 | x | 10 | x |

x 2 3 y 2 . x 2 3 y 2 . We do not need the absolute value signs for y 2 y 2 because that term will always be nonnegative.

b 4 3 a b b 4 3 a b

14 −7 3 14 −7 3

  • ⓒ 88 9 3 88 9 3

( 9 ) 5 = 3 5 = 243 ( 9 ) 5 = 3 5 = 243

x ( 5 y ) 9 2 x ( 5 y ) 9 2

28 x 23 15 28 x 23 15

1.4 Polynomials

The degree is 6, the leading term is − x 6 , − x 6 , and the leading coefficient is −1. −1.

2 x 3 + 7 x 2 −4 x −3 2 x 3 + 7 x 2 −4 x −3

−11 x 3 − x 2 + 7 x −9 −11 x 3 − x 2 + 7 x −9

3 x 4 −10 x 3 −8 x 2 + 21 x + 14 3 x 4 −10 x 3 −8 x 2 + 21 x + 14

3 x 2 + 16 x −35 3 x 2 + 16 x −35

16 x 2 −8 x + 1 16 x 2 −8 x + 1

4 x 2 −49 4 x 2 −49

6 x 2 + 21 x y −29 x −7 y + 9 6 x 2 + 21 x y −29 x −7 y + 9

1.5 Factoring Polynomials

( b 2 − a ) ( x + 6 ) ( b 2 − a ) ( x + 6 )

( x −6 ) ( x −1 ) ( x −6 ) ( x −1 )

  • ⓐ ( 2 x + 3 ) ( x + 3 ) ( 2 x + 3 ) ( x + 3 )
  • ⓑ ( 3 x −1 ) ( 2 x + 1 ) ( 3 x −1 ) ( 2 x + 1 )

( 7 x −1 ) 2 ( 7 x −1 ) 2

( 9 y + 10 ) ( 9 y − 10 ) ( 9 y + 10 ) ( 9 y − 10 )

( 6 a + b ) ( 36 a 2 −6 a b + b 2 ) ( 6 a + b ) ( 36 a 2 −6 a b + b 2 )

( 10 x − 1 ) ( 100 x 2 + 10 x + 1 ) ( 10 x − 1 ) ( 100 x 2 + 10 x + 1 )

( 5 a −1 ) − 1 4 ( 17 a −2 ) ( 5 a −1 ) − 1 4 ( 17 a −2 )

1.6 Rational Expressions

1 x + 6 1 x + 6

( x + 5 ) ( x + 6 ) ( x + 2 ) ( x + 4 ) ( x + 5 ) ( x + 6 ) ( x + 2 ) ( x + 4 )

2 ( x −7 ) ( x + 5 ) ( x −3 ) 2 ( x −7 ) ( x + 5 ) ( x −3 )

x 2 − y 2 x y 2 x 2 − y 2 x y 2

1.1 Section Exercises

irrational number. The square root of two does not terminate, and it does not repeat a pattern. It cannot be written as a quotient of two integers, so it is irrational.

The Associative Properties state that the sum or product of multiple numbers can be grouped differently without affecting the result. This is because the same operation is performed (either addition or subtraction), so the terms can be re-ordered.

−14 y − 11 −14 y − 11

−4 b + 1 −4 b + 1

43 z − 3 43 z − 3

9 y + 45 9 y + 45

−6 b + 6 −6 b + 6

16 x 3 16 x 3

1 2 ( 40 − 10 ) + 5 1 2 ( 40 − 10 ) + 5

irrational number

g + 400 − 2 ( 600 ) = 1200 g + 400 − 2 ( 600 ) = 1200

inverse property of addition

1.2 Section Exercises

No, the two expressions are not the same. An exponent tells how many times you multiply the base. So 2 3 2 3 is the same as 2 × 2 × 2 , 2 × 2 × 2 , which is 8. 3 2 3 2 is the same as 3 × 3 , 3 × 3 , which is 9.

It is a method of writing very small and very large numbers.

12 40 12 40

1 7 9 1 7 9

3.14 × 10 − 5 3.14 × 10 − 5

16,000,000,000

b 6 c 8 b 6 c 8

a b 2 d 3 a b 2 d 3

q 5 p 6 q 5 p 6

y 21 x 14 y 21 x 14

72 a 2 72 a 2

c 3 b 9 c 3 b 9

y 81 z 6 y 81 z 6

1.0995 × 10 12 1.0995 × 10 12

0.00000000003397 in.

12,230,590,464 m 66 m 66

a 14 1296 a 14 1296

n a 9 c n a 9 c

1 a 6 b 6 c 6 1 a 6 b 6 c 6

0.000000000000000000000000000000000662606957

1.3 Section Exercises

When there is no index, it is assumed to be 2 or the square root. The expression would only be equal to the radicand if the index were 1.

The principal square root is the nonnegative root of the number.

9 5 5 9 5 5

6 10 19 6 10 19

− 1 + 17 2 − 1 + 17 2

7 2 3 7 2 3

20 x 2 20 x 2

17 m 2 m 17 m 2 m

2 b a 2 b a

15 x 7 15 x 7

5 y 4 2 5 y 4 2

4 7 d 7 d 4 7 d 7 d

2 2 + 2 6 x 1 −3 x 2 2 + 2 6 x 1 −3 x

− w 2 w − w 2 w

3 x − 3 x 2 3 x − 3 x 2

5 n 5 5 5 n 5 5

9 m 19 m 9 m 19 m

2 3 d 2 3 d

3 2 x 2 4 2 3 2 x 2 4 2

6 z 2 3 6 z 2 3

−5 2 −6 7 −5 2 −6 7

m n c a 9 c m n m n c a 9 c m n

2 2 x + 2 4 2 2 x + 2 4

1.4 Section Exercises

The statement is true. In standard form, the polynomial with the highest value exponent is placed first and is the leading term. The degree of a polynomial is the value of the highest exponent, which in standard form is also the exponent of the leading term.

Use the distributive property, multiply, combine like terms, and simplify.

4 x 2 + 3 x + 19 4 x 2 + 3 x + 19

3 w 2 + 30 w + 21 3 w 2 + 30 w + 21

11 b 4 −9 b 3 + 12 b 2 −7 b + 8 11 b 4 −9 b 3 + 12 b 2 −7 b + 8

24 x 2 −4 x −8 24 x 2 −4 x −8

24 b 4 −48 b 2 + 24 24 b 4 −48 b 2 + 24

99 v 2 −202 v + 99 99 v 2 −202 v + 99

8 n 3 −4 n 2 + 72 n −36 8 n 3 −4 n 2 + 72 n −36

9 y 2 −42 y + 49 9 y 2 −42 y + 49

16 p 2 + 72 p + 81 16 p 2 + 72 p + 81

9 y 2 −36 y + 36 9 y 2 −36 y + 36

16 c 2 −1 16 c 2 −1

225 n 2 −36 225 n 2 −36

−16 m 2 + 16 −16 m 2 + 16

121 q 2 −100 121 q 2 −100

16 t 4 + 4 t 3 −32 t 2 − t + 7 16 t 4 + 4 t 3 −32 t 2 − t + 7

y 3 −6 y 2 − y + 18 y 3 −6 y 2 − y + 18

3 p 3 − p 2 −12 p + 10 3 p 3 − p 2 −12 p + 10

a 2 − b 2 a 2 − b 2

16 t 2 −40 t u + 25 u 2 16 t 2 −40 t u + 25 u 2

4 t 2 + x 2 + 4 t −5 t x − x 4 t 2 + x 2 + 4 t −5 t x − x

24 r 2 + 22 r d −7 d 2 24 r 2 + 22 r d −7 d 2

32 x 2 −4 x −3 32 x 2 −4 x −3 m 2

32 t 3 − 100 t 2 + 40 t + 38 32 t 3 − 100 t 2 + 40 t + 38

a 4 + 4 a 3 c −16 a c 3 −16 c 4 a 4 + 4 a 3 c −16 a c 3 −16 c 4

1.5 Section Exercises

The terms of a polynomial do not have to have a common factor for the entire polynomial to be factorable. For example, 4 x 2 4 x 2 and −9 y 2 −9 y 2 don’t have a common factor, but the whole polynomial is still factorable: 4 x 2 −9 y 2 = ( 2 x + 3 y ) ( 2 x −3 y ) . 4 x 2 −9 y 2 = ( 2 x + 3 y ) ( 2 x −3 y ) .

Divide the x x term into the sum of two terms, factor each portion of the expression separately, and then factor out the GCF of the entire expression.

10 m 3 10 m 3

( 2 a −3 ) ( a + 6 ) ( 2 a −3 ) ( a + 6 )

( 3 n −11 ) ( 2 n + 1 ) ( 3 n −11 ) ( 2 n + 1 )

( p + 1 ) ( 2 p −7 ) ( p + 1 ) ( 2 p −7 )

( 5 h + 3 ) ( 2 h −3 ) ( 5 h + 3 ) ( 2 h −3 )

( 9 d −1 ) ( d −8 ) ( 9 d −1 ) ( d −8 )

( 12 t + 13 ) ( t −1 ) ( 12 t + 13 ) ( t −1 )

( 4 x + 10 ) ( 4 x − 10 ) ( 4 x + 10 ) ( 4 x − 10 )

( 11 p + 13 ) ( 11 p − 13 ) ( 11 p + 13 ) ( 11 p − 13 )

( 19 d + 9 ) ( 19 d − 9 ) ( 19 d + 9 ) ( 19 d − 9 )

( 12 b + 5 c ) ( 12 b − 5 c ) ( 12 b + 5 c ) ( 12 b − 5 c )

( 7 n + 12 ) 2 ( 7 n + 12 ) 2

( 15 y + 4 ) 2 ( 15 y + 4 ) 2

( 5 p − 12 ) 2 ( 5 p − 12 ) 2

( x + 6 ) ( x 2 − 6 x + 36 ) ( x + 6 ) ( x 2 − 6 x + 36 )

( 5 a + 7 ) ( 25 a 2 − 35 a + 49 ) ( 5 a + 7 ) ( 25 a 2 − 35 a + 49 )

( 4 x − 5 ) ( 16 x 2 + 20 x + 25 ) ( 4 x − 5 ) ( 16 x 2 + 20 x + 25 )

( 5 r + 12 s ) ( 25 r 2 − 60 r s + 144 s 2 ) ( 5 r + 12 s ) ( 25 r 2 − 60 r s + 144 s 2 )

( 2 c + 3 ) − 1 4 ( −7 c − 15 ) ( 2 c + 3 ) − 1 4 ( −7 c − 15 )

( x + 2 ) − 2 5 ( 19 x + 10 ) ( x + 2 ) − 2 5 ( 19 x + 10 )

( 2 z − 9 ) − 3 2 ( 27 z − 99 ) ( 2 z − 9 ) − 3 2 ( 27 z − 99 )

( 14 x −3 ) ( 7 x + 9 ) ( 14 x −3 ) ( 7 x + 9 )

( 3 x + 5 ) ( 3 x −5 ) ( 3 x + 5 ) ( 3 x −5 )

( 2 x + 5 ) 2 ( 2 x − 5 ) 2 ( 2 x + 5 ) 2 ( 2 x − 5 ) 2

( 4 z 2 + 49 a 2 ) ( 2 z + 7 a ) ( 2 z − 7 a ) ( 4 z 2 + 49 a 2 ) ( 2 z + 7 a ) ( 2 z − 7 a )

1 ( 4 x + 9 ) ( 4 x −9 ) ( 2 x + 3 ) 1 ( 4 x + 9 ) ( 4 x −9 ) ( 2 x + 3 )

1.6 Section Exercises

You can factor the numerator and denominator to see if any of the terms can cancel one another out.

True. Multiplication and division do not require finding the LCD because the denominators can be combined through those operations, whereas addition and subtraction require like terms.

y + 5 y + 6 y + 5 y + 6

3 b + 3 3 b + 3

x + 4 2 x + 2 x + 4 2 x + 2

a + 3 a − 3 a + 3 a − 3

3 n − 8 7 n − 3 3 n − 8 7 n − 3

c − 6 c + 6 c − 6 c + 6

d 2 − 25 25 d 2 − 1 d 2 − 25 25 d 2 − 1

t + 5 t + 3 t + 5 t + 3

6 x − 5 6 x + 5 6 x − 5 6 x + 5

p + 6 4 p + 3 p + 6 4 p + 3

2 d + 9 d + 11 2 d + 9 d + 11

12 b + 5 3 b −1 12 b + 5 3 b −1

4 y −1 y + 4 4 y −1 y + 4

10 x + 4 y x y 10 x + 4 y x y

9 a − 7 a 2 − 2 a − 3 9 a − 7 a 2 − 2 a − 3

2 y 2 − y + 9 y 2 − y − 2 2 y 2 − y + 9 y 2 − y − 2

5 z 2 + z + 5 z 2 − z − 2 5 z 2 + z + 5 z 2 − z − 2

x + 2 x y + y x + x y + y + 1 x + 2 x y + y x + x y + y + 1

2 b + 7 a a b 2 2 b + 7 a a b 2

18 + a b 4 b 18 + a b 4 b

a − b a − b

3 c 2 + 3 c − 2 2 c 2 + 5 c + 2 3 c 2 + 3 c − 2 2 c 2 + 5 c + 2

15 x + 7 x −1 15 x + 7 x −1

x + 9 x −9 x + 9 x −9

1 y + 2 1 y + 2

Review Exercises

y = 24 y = 24

3 a 6 3 a 6

x 3 32 y 3 x 3 32 y 3

1.634 × 10 7 1.634 × 10 7

4 2 5 4 2 5

7 2 50 7 2 50

3 x 3 + 4 x 2 + 6 3 x 3 + 4 x 2 + 6

5 x 2 − x + 3 5 x 2 − x + 3

k 2 − 3 k − 18 k 2 − 3 k − 18

x 3 + x 2 + x + 1 x 3 + x 2 + x + 1

3 a 2 + 5 a b − 2 b 2 3 a 2 + 5 a b − 2 b 2

4 a 2 4 a 2

( 4 a − 3 ) ( 2 a + 9 ) ( 4 a − 3 ) ( 2 a + 9 )

( x + 5 ) 2 ( x + 5 ) 2

( 2 h − 3 k ) 2 ( 2 h − 3 k ) 2

( p + 6 ) ( p 2 − 6 p + 36 ) ( p + 6 ) ( p 2 − 6 p + 36 )

( 4 q − 3 p ) ( 16 q 2 + 12 p q + 9 p 2 ) ( 4 q − 3 p ) ( 16 q 2 + 12 p q + 9 p 2 )

( p + 3 ) 1 3 ( −5 p − 24 ) ( p + 3 ) 1 3 ( −5 p − 24 )

x + 3 x − 4 x + 3 x − 4

m + 2 m − 3 m + 2 m − 3

6 x + 10 y x y 6 x + 10 y x y

Practice Test

x = –2 x = –2

3 x 4 3 x 4

13 q 3 − 4 q 2 − 5 q 13 q 3 − 4 q 2 − 5 q

n 3 − 6 n 2 + 12 n − 8 n 3 − 6 n 2 + 12 n − 8

( 4 x + 9 ) ( 4 x − 9 ) ( 4 x + 9 ) ( 4 x − 9 )

( 3 c − 11 ) ( 9 c 2 + 33 c + 121 ) ( 3 c − 11 ) ( 9 c 2 + 33 c + 121 )

4 z − 3 2 z − 1 4 z − 3 2 z − 1

3 a + 2 b 3 b 3 a + 2 b 3 b

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Access for free at https://openstax.org/books/college-algebra/pages/1-introduction-to-prerequisites
  • Authors: Jay Abramson
  • Publisher/website: OpenStax
  • Book title: College Algebra
  • Publication date: Feb 13, 2015
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Equations and Inequalities Unit

Equations and Inequalities Unit 7th Grade TEKS

A 14-day Equations and Inequalities TEKS-Aligned complete unit including writing and solving one-variable two-step equations and inequalities.

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A 14 day Equations and Inequalities TEKS-Aligned complete unit including: writing and solving one-variable two-step equations and inequalities.

Students will practice with both skill-based problems, real-world application questions, and error analysis to support higher level thinking skills.  You can reach your students and teach the standards without all of the prep and stress of creating materials!

Standards:   TEKS: 7.10A, 7.10B, 7.10C, 7.11A, 7.11B, 7.11C;  Looking for CCSS-Aligned Resources?  Grab the Expressions & Equations CCSS-Aligned Unit.  Please don’t purchase both as there is overlapping content.

Learning Focus:

  • model, write, and solve two-step equations and inequalities
  • determine if a value makes an equation true
  • represent the solution for equations and inequalities on a number line

What is included in the 7th grade teks Equations and Inequalities Unit?

1. Unit Overviews

  • Streamline planning with unit overviews that include essential questions, big ideas, vertical alignment, vocabulary, and common misconceptions.
  • A pacing guide and tips for teaching each topic are included to help you be more efficient in your planning.

2. Student Handouts

  • Student-friendly guided notes are scaffolded to support student learning.
  • Available as a PDF and the student handouts/homework/study guides have been converted to Google Slides™ for your convenience.

3. Independent Practice

  • Daily homework is aligned directly to the student handouts and is versatile for both in class or at home practice.

4. Assessments

  • 1-2 quizzes, a unit study guide, and a unit test allow you to easily assess and meet the needs of your students.
  • The Unit Test is available as an editable PPT, so that you can modify and adjust questions as needed.

5. Answer Keys

  • All answer keys are included.

***Please download a preview to see sample pages and more information.***

How to use this resource:

  • Use as a whole group, guided notes setting
  • Use in a small group, math workshop setting
  • Chunk each student handout to incorporate whole group instruction, small group practice, and independent practice.
  • Incorporate our  Expressions and Equations Activity Bundle  and  Inequalities Activity Bundle  for hands-on activities as additional and engaging practice opportunities.

Time to Complete:

  • Each student handout is designed for a single class period. However, feel free to review the problems and select specific ones to meet your student needs. There are multiple problems to practice the same concepts, so you can adjust as needed.

Is this resource editable?

  • The unit test is editable with Microsoft PPT. The remainder of the file is a PDF and not editable.

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©Maneuvering the Middle® LLC, 2012-present

Grade Level

7th Grade

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Standards

TEKS

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This resource is often paired with:

7th-Grade Expressions and Equations Activity Bundle: 6 activities to support simplifying expressions, one & two-step equations, & the distributive property. | maneuveringthemiddle.com

Expressions and Equations Activity Bundle 7th Grade

7th grade digital activities

Digital Math Activity Bundle 7th Grade

unit equations and inequalities homework 4 answer key

Inequalities Activity Bundle 7th Grade

Expressions and Equations Unit

Expressions and Equations Unit 7th Grade CCSS

unit equations and inequalities homework 4 answer key

Everyday Mathematics

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About Everyday Mathematics

  • Kindergarten
  • EM3/CCSS at Home
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EM4 at Home

Expressions and equations.

Lesson

Vocabulary

Home Link Help

Games

Parentheses, Exponents, and Calculators

Home Link 4-1


Solving Problems with Order of Operations

Home Link 4-2


Expressions and Patterns

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Representing Unknown Quantities with Algebraic Expressions

Home Link 4-4


Exploring Equations

Home Link 4-5


The Distributive Property and Equivalent Expressions

Home Link 4-6


Applying Properties of Arithmetic

Home Link 4-7


The Banquet Table

Home Link 4-8


Introduction to Inequalities

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Finding and Graphing Solution Sets of Inequalities

Home Link 4-10


Inequalities to Represent Real-World Situations

Home Link 4-11


Absolute Value as Distance

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Absolute Value

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Mean Absolute Deviation

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Unit 6 – Equations and Inequalities

Equations and Their Solutions

LESSON/HOMEWORK

LECCIÓN/TAREA

LESSON VIDEO

EDITABLE LESSON

EDITABLE KEY

SMART NOTEBOOK

Solving One Step Equations with Addition and Subtraction

Solving One Step Equation with Multiplication and Division

Messy Equations

Translating into Math Equations

Solutions to Inequalities

Translating Phrases into Inequalities

Unit Review

Unit 6 Review

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Unit 6 Assessment Form A

EDITABLE ASSESSMENT

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Unit 6 Exit Tickets

Unit 6 Mid-Unit Quiz – Form A

Unit 6 Mid-Unit Quiz – Form B

U06.AO.01 – Modeling Word Problems with One-Step Equations

EDITABLE RESOURCE

U06.AO.02 – One-Step Equation Practice

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Get ready for Algebra 1

Unit 1: get ready for equations & inequalities, unit 2: get ready for working with units, unit 3: get ready for linear relationships, unit 4: get ready for functions & sequences, unit 5: get ready for exponents, radicals, & irrational numbers, unit 6: get ready for quadratics.

IMAGES

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VIDEO

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    Microsoft Word - Math 7 Quarter 2 WORKBOOK.docx. Unit 4 Equations and Inequalities STUDY GUIDE. 1. Solve each equation. Show your work. Circle your answers. a. = 8. d. -5x + 18 = 28. g. 11x - 31 = 24.

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    We develop general methods for solving linear equations using properties of equality and inverse operations. Thorough review is given to review of equation solving from Common Core 8th Grade Math. Solutions to equations and inequalities are defined in terms of making statements true. This theme is emphasized throughout the unit.

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    Unit 5 - Systems of Linear Equations and Inequalities. This unit begins by ensuring that students understand that solutions to equations are points that make the equation true, while solutions to systems make all equations (or inequalities) true. Graphical and substitution methods for solving systems are reviewed before the development of the ...

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