Apply algebraic methods in solving problems.
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| Expand: 6(x+y) | =6×x+6×y =6x+6y | Expanding
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| Expand: -3x(2x-5) | =-3x×2x- -3x×5 =-6x^2+15x | Expanding
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| Expand and simplify: (2x+1)(3x-4) | =6x^2-8x+3x-4 =6x^2-5x-4 | Expanding Two Brackets
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| Expand and simplify: (3x-2)^2 | =(3x-2)(3x-2) =9x^2-6x-6x+4 =9x^2-12x+4 | Perfect Squares
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| Expand and simplify: (2x-5)(2x+5) | =4x^2+10x-10x-25 =4x^2-25 | Difference of Two Squares
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| Expand and simplify: (x-2)^3 | =(x-2)(x-2)(x-2) =(x^2-4x+4)(x-2) =x^3-2x^2-4x^2+8x+4x-8 =x^3-6x^2+12x-8 | More Than Two Brackets
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| Factorise: 20b-10 | =10(2b-1) | Factorising
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| Factorise: 4ad-8a | =4a(d-2) | Factorising
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| Factorise: 2ac+2bc+3ad+3bd | =2c(a+b)+3d(a+b) =(2c+3d)(a+b) | Factorising
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| Factorise: x^2+7x+6 | =(x+1)(x+6) | Factorising Quadratics
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| Factorise: x^2+x-12 | =(x-3)(x+4) | Factorising Quadratics
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| Factorise: 2x^2+12x+16 | =2(x^2+6x+8) =2(x+2)(x+4) | Two Stage Factorising
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| Factorise: 3x^2-10x-8 | =3x^2+2x-12x-8 =x(3x+2)-4(3x+2) =(x-4)(3x+2) | Two Stage Factorising
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| Simplify: x^2+7x+12 / x+3 | =(x+3)(x+4) / x+3 =(x+4) | Rational Expressions
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| Simplify: 2a^2×3a×5a^4 | =2×3×5a^(2+1+4) =30a^7 | Power Rules
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| Simplify: 12x^5/6x^4 | =12/6x^(5-4) =2x | Power Rules
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| Simplify: (4b^2c^5) | =4^2b^(2×2)c^(5×2) =16b^4c^10 | Power Rules
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| Evaluate: (0.5)^-2 | =[1/2]^-2 = [2/1]^2 =4 | Negative Powers
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| Write [2/5]^-2 with a positive index and then evaluate. | =[5/2]^2 =[25/4] | Negative Powers
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| Simplify and write with a positive index: (xy^2)^-4 | =x^(1×-4)y^(2×-4) =x^-4y^-8 =1/x^4y^8 | Negative Power Laws
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| Simplify: (64x^6)^1/2 | =√64x^(6×1/2) =8x^3 | Negative Power Laws
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| Evaluate: 64^(2/3) | =3*√64^2 =3*√2096 =16 | Combining Powers & Roots
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| Evaluate: 625^(-1/4) | =1/(625^1/4) =1/4*√625 =1/5 | Fractional & Negative Powers
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| Simplify: 12x^2y^3z / 27xz^2 | =4xy^3/9z | Algebraic Fractions
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| Simplify: 5x^2y/4x × 6y^2/5x^3y | =30x^2y^3/20x^4y =3y^2/2x^2 | Multiplying Fractions
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| Simplify: 6r/5 / 3r^2 | =6r/5×1/3r^2 =6r×1/5×3r^2 =2/5r | Dividing Fractions
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| Simplify: a/2 + 2a/3 | =3×a+2x2a/2×3 =3a+4a/6 =7a/6 | Adding Fractions
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| Simplify: 3/a - 2/b | =b×3-a2/a×b =3b-2a/ab | Subtracting Fractions
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| Simplify: 3x+2/4x + 2/6x | =6x(3x+2)+4x^2/4x×2/4x×6x =18x^2+12x+8x/24x^2 =18x^2+20x/24x^2 =2x(9x+10)/2x×12x =9x+10/12x | Adding Fractions
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| Simplify: 5/x-1 - 2/x+6 | =5(x+6)-2(x-1)/(x-1)(x+6) =5x+30-2x+2/x^2+5x-6 =3x+32/x^2+5x-6 | Subtracting Fractions
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| Expand and simplify: 2(4x+y)+8(3x-2y) | =2×4x+2×y+8×3x-8×2y =8x+2y+24x-16y =32x-14y | Expanding
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Review the information in the table. When you are ready to quiz yourself you can hide individual columns or the entire table. Then you can click on the empty cells to reveal the answer. Try to recall what will be displayed before clicking the empty cell.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
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Created by:
rachelhema
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