Modelling and solving real-world situations with Algebra

Substituting numbers

100

If x=5, solve: 7x+10x

85

200

If x=2/3, solve: 18x-6x

8

300

If x=2, solve: (-5x²)(-4x³)

640

400

If x=2 and y=3, solve 21x⁶y⁵/7x⁴y³

108

500

If x=2 and y=3 and z=-2, solve (9x³yz²)(2x⁴yz)/7x³yz

768

Solving Equations

100

x³=-27, Find x

X=-3

200

49x-45.5=175, Find x

x=4.5

300

3x-4/4=2x+3/3, Find x

x=24

400

3(x-2)²-8=4 Find x

x=4

500

1/2(2x-3)-1/6(-3x+5)-8=1/4(x-15)+1/6(6x+3)+9, Find x

x=2

Linear Equations

100

5x+8=3x–6

x= -7

200

7x-3=-8x+6

x=0.6

300

2(-3x+9)=4x+2

x=1.6

400

4(3x-4)=5(2x-2)

x=3

500

2(3x-5)+2=4(3-x)

x=2

Operation with polynomials

100

4(-x²-2)+6

-4x²-2

200

2(2x+3)-3x²

-3x²+4x+6

300

-3(-3x+4)x(-2x-5)

4x-2x²-12

400

5x(x+2)-4(x+1)+5

5x²+6x+1

500

4x(3x-2+3)+5(x²+8)-7x(-x+2x+4)-34

10x²-24x+6

Solving Algebraic Expressions

100

5x³y²+24x³y²

29x³y²

200

17xy³-5x²y⁴-8xy³

9xy³-5x²y⁴

300

(9x²y⁵z³)(8y³z⁴)

72x²y⁸z⁷

400

-9x³(-6x⁴+4+x⁶)

-9x⁹+54x⁷-36x³

500

x⁷(6x²+7x-x³)-16(5x⁴+x³)

-x¹⁰+6x⁹+7x⁸-80x⁴-16x³