Expressions 1 3 3 Worksheets

Posted on 15.01.2021 Пт by admin

Expressions Free Worksheets
Free Worksheets On Algebraic Expressions

Looking for high-quality Math worksheets aligned to Common Core standards for Grades K-8?

Our premium worksheet bundles contain 10 activities and answer key to challenge your students and help them understand each and every topic within their grade level.

------ Note: The Information above this point will not be sent to your printer --------

High School: Algebra » Seeing Structure in Expressions » Interpret the structure of expressions. » 1 Print this page. Interpret expressions that represent a quantity in terms of its context. Math Worksheets and topics for Fourth Grade. Quality Free printables for students, teachers, and homeschoolers. 1.3.2 Write/Evaulate Simple Expressions 1.3.3.

For each expression, tell which operation would be completed first, and why.

1. (14 + 2) - 3 + 1	The addition in the Parentheses would come first, 14 + 2
2. 12 + (1 + 24) - 5	The addition in the Parentheses would come first, 1 + 24
3. 12 - [(5 + 2) + (16 - 4)]	There are two things in parentheses. 5 + 2 is first left to right.
4. 18 - (5 - 2) + {12 - [1 + (7 - 2)] - (3 + 1)}	There are 3 things in parentheses. 5-2 is first.
5. 8 + (15 - 3)	The subtraction in the Parentheses is first, 15 - 3
6. 34 - (5 + 35) ÷ 5	The addition in the Parentheses is first, 5 + 35
7. (62 - 4) + (9 - 7) x 3	There are two things in Parentheses, 62 - 4 is first
8. (9 + 5) - 16 ÷ 4	The addition in the Parentheses would come first, 9 + 5
9. 18 - 1 + 7 x 2	There are no Parentheses so Multiplication would be first, 7 x 2
10. 9 x 7 + (7 - 3)	The subtraction in the Parentheses would come first, 7 - 3

Page: 1 2 3 4 5 6 7

------ Note: The Information below this point will not be sent to your printer --------

From Expressions Worksheets
- By HelpingWithMath.com

Related Resources

The various resources listed below are aligned to the same standard, (5OA02) taken from the CCSM (Common Core Standards For Mathematics) as the Expressions and equations Worksheet shown above.

Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation 'add 8 and 7, then multiply by 2' as 2 x (8 + 7). Recognize that 3 x (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.

Example/Guidance

Worksheet

Writing Simple Expressions - Post-assessment (10 questions)

Similar to the above listing, the resources below are aligned to related standards in the Common Core For Mathematics that together support the following learning outcome:

Write and interpret numerical expressions

Grouping Symbols (From Example/Guidance)
Order of Operations (From Example/Guidance)
Identifying & Adding Parentheses - Pre-assessment (From Worksheet)
Evaluating Expressions Worksheet - Practice (From Worksheet)
Evaluating Expressions - Post-assessment (10 questions) (From Worksheet)
Order of Operations in Expressions - Pre-assessment (From Worksheet)
Evaluating Expressions - Post-assessment (10 questions) (From Worksheet)

(a) Simplify:

(b) Simplify:

\frac{3 x - 3 y}{x + y} \times \frac{2 x + 2 y}{6 x}

Solution:

Expressions Free Worksheets

(m – 4n)(m + 4n) – m²

= 0

(b)

Expressions 1 3 3 worksheets multiplication

Free Worksheets On Algebraic Expressions

\begin{array}{l} \frac{3 x - 3 y}{x + y} \times \frac{2 x + 2 y}{6 x} = \frac{3 (x - y)}{x + y} \times \frac{2 (x + y)}{6 x} \\ = \frac{x - y}{x} \end{array}

\begin{array}{l} (i) \frac{12 m n}{32} \\ (ii) \frac{x^{2} - x y}{x} \end{array}

(b) Express

\frac{1}{2 q} - \frac{2 p - 7}{6 q}

as a single fraction in its simplest form.

Solution:

\begin{array}{l} (a)(i) \frac{12 m n}{32} = \frac{3 m n}{8} \\ (a)(ii) \frac{x^{2} - x y}{x} = \frac{x (x - y)}{x} = x - y \end{array}

(b)

\begin{array}{l} \frac{1}{2 q} - \frac{2 p - 7}{6 q} = \frac{1 \times 3}{2 q \times 3} - \frac{(2 p - 7)}{6 q} \\ = \frac{3 - 2 p + 7}{6 q} \\ = \frac{10 - 2 p}{6 q} \\ = \frac{2 (5 - p)}{36 q} \\ = \frac{5 - p}{3 q} \end{array}

(a) Factorise 2ae + 3af – 6de – 9df

(a)

2ae + 3af – 6de – 9df = a (2e + 3f )– 3d (2e + 3f)

\begin{array}{l} \frac{a^{2} - b^{2}}{{(a + b)}^{2}} = \frac{(a + b) (a - b)}{(a + b) (a + b)} \\ = \frac{a - b}{a + b} \end{array}

(a) Factorise –8c² – 12ac.

(a)

= –4c (2c + 3a)

(b)

\begin{array}{l} \frac{a e + a d - 2 b e - 2 b d}{a^{2} - 4 b^{2}} = \frac{a (e + d) - 2 b (e + d)}{(a + 2 b) (a - 2 b)} \\ = \frac{(e + d) (a - 2 b)}{(a + 2 b) (a - 2 b)} \\ = \frac{e + d}{a + 2 b} \end{array}