Algebra 1 Unit 1 Review

Order of Operations

100

Simplify: 3 + 16 - 14(3) + (6² / 2) 

-5

200

Simplify: (12² - 18(3 + 2) - 8) / 3²

5.11111111

300

Simplify:

(100 - 17)(23 - 4³) + (16 - 3(-4) + (2(2-1)²))

-3,373

400

Simplify:

[(88² + 14²) - 7940] / [-(2 + 3(2) - 16)]

0

500

[2(3(8 - 4(16 + 2(1⁴) - 39) + 2))]²  

318,096

Evaluating Expressions

100

Simplify: 13x + 4² - 16x/3 when x = 5

54.333333333

200

Simplify: 2(x - 3) + 6(x - 14) - 100 when x = -1/4

-192

300

Simplify: [23x - 14x + 38 - 3³] / [2x² - 18]

when x = 1

-1.25

400

Simplify:

-14.5(-14.6x + 6.25⁴ - 1800) + [19x - 14(x + 2.7)]

when x = 3.5

Round to the nearest hundredth!

4695.41

500

Simplify: 2x⁶ + 3x⁵ + 4x⁴ - 5x³ - 6x² + 7x + 9 

when x = 0

9

Classifying Real Numbers

100

What is the most specific way to classify the following real number:

3

Natural Number

200

What is the most specific way to classify the following real number:

-14

INTEGER

300

What is the most specific way to classify the following real number:

-3/5

Rational Number

400

What is the most specific way to classify the following real number:

0

Whole number

500

What is the most specific way to classify the following real number:

1/3

Rational

Properties of Real Numbers

100

Simplify the following expression by combining like terms:

-3x - 12 + 4x + 12

1x

200

Is the sum of √7 + √9 rational or irrational? 

Irrational

300

Simplify the following expression by combining like terms:

2x² + 2x + 7 - 4x² + 2(3x + 6)

-2x² + 8x + 19

400

In the following example, state which property is being used:

(2x + 3) + 4 = 2x + (3 + 4)

Associative Property of Addition

500

In the following example, state which property is being used:

(8x - 6)(4x - 2) = (4x - 2)(8x - 6)

Commutative Property of Multiplication

Algebraic Expressions

100

In the following algebraic expression, what is the variable, what is the constant and what is the coefficient:

7y - 14

variable: y

coefficient: 7

constant: -14

200

 If n represents a number, write an expression that represents a number that is 7 less than n.

n - 7

300

If n represents a number, write an expression that represents the product of 9 and a number increased by 12.

9x + 12

400

If n represents a number, write an expression that represents the difference of a number and five multiplied by 2

2(n-5)

500

If n represents a number, write an expression that represents the difference between a number four larger than n and two smaller than n. Be careful.

(n + 4) - (n - 2)