Algebraic Expressions and Integers

Expressions

100

An expression with variables and numbers 

 algebraic expression

200

Write an expression:

ten less than negative 3

-3 - 10

300

The distance from zero on a number line

absolute value

400

The product of x and negative five. 

-5x

500

Five more than the opposite of y

-y + 5

Evaluating Expressions

100

3a + 5       a= -5

-10 

3(-5) + 5

-15 + 5

-10

200

7b³     b=2

 56

7(2)³

7(8)

56

300

(9 + y) / x         x=2   y=3

6

(9 + (3)) / (2)

12 / 2

6

400

5(y + z)          y= 4      z=6

50

5((4) + (6))

5(10)

50

500

16 - 4mn             m=0      n=3

16

16 - 4(0)(3)

16 - 4(0)

16-0

16

Order of Operations

100

(56 - 5) / 17

3

(56-5)/17

51/17

3

200

- 7² + 4 * 6

-25

- 49+4*6

-49 + 24

-25

300

Use <, >, or =

15*3 - 2                        15*(3-2)

>

15*3-2                        15*(3-2)

45-2                            15*1

43                >              15

400

2[8+(5-3)] - 8 * 4

-12

2[8+(5-3)] -8 * 4

2[8 +2] - 8

2[10] - 8 * 4

20 - 32

-12

500

21/7+14*2

31

21/7+14*2

3 +14*2

3 + 28

31

+ - * /

100

- 4 + 5

1

|-4|  < | 5 |

5-4

1

200

-17 - (-23) 

40

-17 -(-23)

17 + 23

40

300

- 9 (-8)(-5)

-360

-9(-8)(-5)

72(-5)

-360

400

-72/-12

6

500

(-2)⁴ - |- 11|

5

16 - 11

5

Vocabulary

100

Whole numbers and their opposites

Integers

200

The way to simplify (PEMDAS)

Order of Operations

300

The property that is used to identify when a solution is within the same set as the elements operated upon.

Closure Property

400

The property by which we use the opposite to "cancel" out a value.

Inverse

500

The property that allows us to replace one value with an equivalent value.

Substitution Property