Mental Math

An arithmetic approach to building a better student

This site and all material on this site is intended to do the following: 

• Develop Numerical fluency: Ability to process mathematics mentally 

• Develop fractional fluency: Ability to process basic fractions mentally and understand fractions in general

Each set has a you tube video explaining how to do and teach the problems within the set. The material is intended to supplement a curriculum rather than replace a currciulum. 

Arithmetic operations  Set I

Link to video for arithmetic operations 

• Add 113+14 Subtract 84-36

• 7x8 multiply 10x10 or less                 multiply then add 4x12+6 small numbers

• 4x___=36 find missing factor

• multiply numbers with a 7,8,9 multiply 8-9 by 11-25 then add   (this sheet very helpful)

• mutliply 3-12 by 11-25 mutliply then add 8-20 by 11-20

• Multiply 3-20 by 11-25

• multiply 4-9 by 60-90

• 7x__=98_ find missing factor past 12 6x__=594_ find missing factor large numbers

Evaluate expressions ( no fractions) Set II

Link to evaluate expressions video 

         All positive numbers   Signed numbers

•  Evaluate 4x+3  (all +)   Evaluate 4x-7  and 7-3x signed numbers

• Evaluate 4x+3 and 7+5x (all +)

• Evaluate 16x+18 larger numbers (all +)                   

•  Evaluate (x+3)(x+2) (all +)                                                Evaluate (x+3)(x-5) 

•   Evaluate (2x+3)(4x+1) (all +)                                        Evaluate (-2x+3)(4x-5)

• Evaluate x^2+2x+5 (all +)   Evaluate x^2-3x+5

• Evaluate 3x^2+2x+5 (all +)   Evaluate 2x^2-5x-3       Evaluate -2x^2-4x+3

Solve linear equations (no fractions) Set III

Link to video explaination 

    All postitive           Signed numbers

• x+6=15 all + solutions         x-3=-17

• 2x+8=24 all + solutions -4x+2=10

• 4x+3=27 all + solutions 3x-2=7 and 5-2x=19

• 11x+2=35 all + solutions

• 5x-2=23 all + solutions

• 3(2x+1)=27 all + solutions -2(3x+2)=14 

Operations on signed numbers (basic) Set IV

• -4+10 single sign 4(-6) Multiply)   22(-13) multiply

• 82-93 larger                                               8-3(-5) multiply and add/subtract

• -13+46-84 -4x___=88 find factor*

• -4+(-7) add and subtract Expected Value application

• -42-(-16) add and subtract 20(8)+7= All positive

• -13+___=14 find term* (3(4)+2)(3(5)+3)= All positive

• 41-___=43 find term* -12(-6)+3= Signed numbers

• (3-5)(-6+7)= Signed numbers (-3(-8)-6)(-3(5)-2)= Signed numbers

• 3^2+ 4(9)+2= All positive 4(8)^2+3(2)+5= All positive

• -1(-4)^2+6(3)-9= Signed numbers

*These worksheets have been especially beneficial to student learning