# Algebra - Mixed Practice (Up to Algebraic Expressions)

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## Algebra - Mixed Practice (Up to Algebraic Expressions)

This mixed practice worksheet set reviews some of the pre-algebra concepts covered in the previous worksheets, and then introduces some algebra exercises involving expressions

**Worksheet 2.1**

In this worksheet, students are not required to combine like terms, or use the distributive property.

- LCM/GCF
- Fractions
- Order of Operations
- Converting phrases to numerical expressions and simplifying
- Converting phrases to algebraic expressions

**Worksheet 2.2**

- Order of Operations with positives, negatives, and fractions
- Converting phrases to numerical expressions and simplifying
- Converting phrases to algebraic expressions
- Combining like terms

**Worksheet 2.3**

- Simplifying fractions
- Adding and subtracting fractions
- Distributive property (without exponents)
- Converting phrases to algebraic expressions and simplifying

## Worksheet Sets in this Series

Worksheets for this section are below the index. Click the "Overview" link to get a more detailed view of the entire series.

**Mixed Practice Overview**- Mixed Practice #1 - Pre-Algebra
- Mixed Practice #2 - Algebraic Expressions
- Mixed Practice #3 - Linear Equations
- Mixed Practice #4 - Polynomial Manipulation
- Mixed Practice #5 - Factoring
- Mixed Practice #6 - Quadratic Equations
- Mixed Practice #7 - Rational Expressions
- Mixed Practice #8 - Systems of Equations
- Mixed Practice #9 - Radical Expressions

Lesson by Mr. Twitchell

## Handouts/Worksheets

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## Mixed Practice 2.1

- Find the GCF and LCM of 96 and 144

- +46=25

- - (-73) =14

- 12% of 525 =

- 500 increased by 30% =

- 10 - [2
^{2}+ 3(2 - 2^{2}) +1] =

- Two less than twice eleven =

- Twice the sum of two squared and three squared =

- Two less than a third the sum of ten and twenty-three =

- Five halves of the difference between one and one fifth =

- Two more than a number =

- Five less than a number =

- Twice the sum of a number and five =

- A number, plus one more than that number =

- The cost of 12 pens, if one pen costs n cents =

- One third of the sum of 5 and a number =

- The product of a number and two less than that number =

- The ratio of a number to seven =

- The age of Chris seven years ago, if he is c years old now =

- A number, plus half of that number, minus two thirds of that number =

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## Mixed Practice 2.1: Answer Key

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## Mixed Practice 2.2

- -3 + 2(-1 + 3) - (-4) =

- 3(-4) - (-2)(-4) + (-3)(-2) =

- 1 + (-2) - (-3) + 4 + (-5) - (-6) =

- -(-23+ 1) =32

- 4 - [-2 - 3(1 + 3(-+ 1) + 1)] =83

- Two more than three times seven =

- Two more than three times a number =

- Half the sum of twelve and fourteen =

- Half the sum of a number and eight =

- A third of the product of nine and eight =

- A third of the product of six and a number =

- 3x + 2x - 4x =

- 2x + 5x - 3 =

- z +12z +13n =12

- 2a - a + 3b - b + c - a =

- 3x - (-3x) + (-2x) =

- x
^{2}+ x - 5 + 3x^{2}- 2x =

- xy + 3x + 4y + 2xy - x =

- abc + a
^{2}b + b^{2}a +3a^{2}b +ac

- 2x + 3y - x - 2y - x - y

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## Mixed Practice 2.2: Answer Key

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## Mixed Practice 2.3

Simplify all expressions completely.

- =2436

- =1830

- +46=714

- -23+15=215

- 2(x + 3) =

- 3(x - 5) =

- 4(2x +10) =

- (2x + 10) =12

- 2x(y + 2z - 3) =

- 5x(2 - 2y) =

- Five less than ten times a number

- Half of four less than a number

- A number, plus twice that number

- A number plus half that number

- A number plus two more than that number

- Twice the sum of a number and three

- Two thirds the difference of a number and 12

- Eli's age now, plus Eli's age 3 years ago

- A number, plus two thirds of that number, minus half that number

- The difference between a number and a third of that number

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## Mixed Practice 2.3: Answer Key

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