Math 7 Expressions & Equations

1-Step Equations

100

Solve this equation: 2x=24

2x=24      2x/2   24/2   

x=12

200

Solve this equation:   3x=45

3x=45     3x/3      45/3

x= 15

300

Solve this equation:   4x=48

4x=48    4x/4      48/4     

x=12

400

Solve this equation:  12x=144

12x=144    12x/12     144/12  

x=12

500

Solve this equation: 13x=169

13x=169   13x/13     169/13

x=13

2-Step Equations

100

Solve this equation

(-8)+24=x-2

(-8)+24=x-2

-8+24=x-2

16=x-2

16+2=x

18=x

x=18

200

Solve this equation:

(-14)*-1=y+4

(-14)*-1=y+4

-14*-1=y+4

14=y+4

14-4=y

10=y

y=10

300

Solve this equation:

5b-4=16

5b-4=16

5b=16+4

5b=20

b=20/5

b=4

400

Solve this equation:

4d+22=34

4d+2=34

4d=34-22

4d=12

d=12/4

d=3

500

Solve this equation:

2z+70=25

2z+7=25

2z=25-70

2z=-45

z=-45/2

z=-22.5

Equation Terms

100

A number or quantity that is multiplied by a variable.

What is a coefficient?

200

A mathematical equation containing only numbers and operation symbols.

What is a numerical expression?

300

A letter or number that stands on its own as a fixed number.

What is a constant?

400

A single number and/or variable in Algebra.

What is a term?

500

An expression containing integer constants, variables and algebraic operations.

What is an Algebraic Expression?

Properties

100

What Property is this? 

2x3+6=6+2x3

Commutative Property

200

What property is this?

(2+3)+47=(47+3)+2

Associative property

300

What property is this?

2(4+3)

8+6

=14

Distributive Property

400

How would you solve this with the distributive property? 

2(34+2) 

First, multiply 2 by 34 and 2 by 2. Add each of the products to get 72.

500

What is another way to write this problem with the associative property?

(21+12)+2

EX 1: (12+2)+21

EX 2: (2+21)+12

Inequalities (Mixed)

100

Solve this inequality:

z-7<21

z-7<21

z<21+7

z<28

200

Solve this inequality:

y+2<39

y+2=39

y<39-2

y<37

300

Solve this inequality:

244+x<952

244+x<952

-244    -244

x<708

400

Solve this inequality:

-24x+5>605

-24x+5>605

       -5      -5

-24x>600  

/-24    /-24

x<-25

500

Solve this inequality:

-30z+51<801

-30z+51<801

       -51      -51

-30z<750

/-30    /-30

z>-25