Algebra 1 Chapter 1 Test Review

​Concepts:

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• Variables & Expressions

• Order of Operations & Evaluating Expressions

• Principal Square Roots

• Classify Numbers

• Properties of Addition & Multiplication

• Add & Subtract Integers

• Add & Subtract Rational Numbers

• Multiply & Divide Integers

• Multiply & Divide Rational Numbers

• The Distributive Property

Multiple Choice

Simplify $$\sqrt[]{}$$  36.

• 12

• 8

• 6

• 18

Multiple Choice

Simplify $$\sqrt[]{\frac{4}{25}}$$  

• $$\frac{2}{5}$$  

• 0.4

• None of these

​Classify Numbers

Whole numbers: positive whole numbers (no decimals or fractions)

​

Integers: positive and negative whole numbers​

​

Rational numbers: Any number that can be written as a fraction (a/b)

​

Irrational numbers: Any number that can not be written as a fraction​

Multiple Select

Classify - 17. (Choose all that apply)

• Whole number

• Integer

• Rational Number

• Irrational Number

Multiple Choice

Classify $$\sqrt[]{2}$$  .

• Whole number

• Integer

• Rational Number

• Irrational Number

​The Distributive Property

a(b + c) = ab + ac

a(b - c) = ab - ac

​

Combine like terms to simplify expressions completely​

Multiple Choice

Simplify 5(2x - 3).

• 25x

• 10x - 15

• 7x - 8

• 10x - 3

Multiple Choice

Simplify 3(2x + 7) - 4x

• 2x + 7

• 23x

• 2x + 21

• 9x

​Variables and Expressions

• A variable is a letter or symbol that represents a quantity.

• A numerical expression is a mathematical phrase involving numbers and operations.

• An algebraic expression is a mathematical expression that involves one or more variables.

Multiple Choice

Write an algebraic expression for the phrase the product of a number t and 9.

• 9 + t

• t - 9

• 9 $$\div$$  t

• 9t

Multiple Choice

Write an algebraic expression for the phrase the sum of 15 and x, plus 7

• (15 + x) + 7

• 15 + x + 7

• 15x + 7

• 15(x + 7)

​Order of Operations and Evaluating Expressions

Order of operations:

Parenthesis: Simplify operation inside parenthesis first

Exponents: Simplify all exponents

Multiply: Multiply and

Divide: Divide in order from left to right

Add: Add and

Subtract: Subtract in order from left to right​

​

Multiple Choice

Simplify: 5 $$\cdot$$  2² $$\div$$  2 + 8

• 58

• 18

• 2

• None of these

Multiple Choice

6 + 4 $$\div$$  2 + 3

• 2

• 11

• 15

​Evaluate Expressions

Evaluating an expression means to simplify and solve.

​

Replace each variable with the value given for that variable. Simplify the expression using order of operations.​

Some text here about the topic of discussion

Multiple Choice

For s = 4 and t = 8, evaluate 2st² - s².

• 496

• 1784

• 4096

• 120