The ALGEBRA questions

solving equations

100

SOLVE for m: -5m-6=14

Answer:m=-4 

steps: -5m-6=14

-5m=14+6

-5m=20

20/-5

m=-4

200

Solve for x: 7x-6=4x-12

answer: x=-2

Steps: 7x-6=4x-12

7x-4x=-12+6

3x=-6

-6/3x

x=-2

300

Solve for k: 13k+9=9k-11

Answer: k=-4

Steps:13k+9=9k-11

13k-9k=-11-9

4k=-20

-20/4

k=-4

400

Solve for M: 3(m+6)=4(2m-3)

Answer: m=6

Steps: 3(m+6)=4(2m-3)

3m+18=8m-12

3m-8m=-12-18

-5m=-30

-30/-5m

m=6

500

Solve for x: k+4/3 = k-6/5 This is Fractions

Answer:

step:5(k+4) + 3(k-6)

5k+20=3k-18

5k-3k=-18-20

2k=38

-38/2k

k=-19

polynomials

100

Simplify this: 6x+5+4x-8

Answer 10x-3

Step: 6x+4x=10x

5-8=-3

10x-3

200

Simplify this:-2x-4+2x+6

Answer:2

step:-2+2=0 (No need to write it)

-4+6=2

2

300

Simplify: (2x+5)+(8x-10)

Answer:10x-5

step: 2x+8x=10x

5-10=-5

10x-5

400

Simplify: 8x²+6x+2x²+2

Answer 10x²+8

step:8x²+2x²=10x²

6x+2x=8x

10x²+8x

500

Simplify: (m²-7m+1)-(3m²-2m+4)

Answer:-2m²-5m-3

Steps:m²-7m+1-3m²+2m-4

m²-3m²= -2m²    

-7m+2m=-5m

1-4=-3

-2m²-5m-3

law of exponents

100

Simplify: (x³)(x⁵)

Answer: x⁸

200

Simplify: (m²)(m³)(m)

answer: m⁶

300

Simplify:15a⁵/3a²

Answer: 5a³

step 15/3=5

^5-2=3
5a³

400

Simplify:(a³b)⁴

Answer a¹² b⁴

Step: 3x4=12

1x4=4

a¹² b⁴

500

Simplify:(a³b/c⁵)³

Answer c

step 3x3=9

1x3=3

3x5=15

a⁹b³/c¹⁵

Polynomials with multiplications

100

Question:6(x+10)

Answer:6x+60

step 6x1=6(x represent 1)

6x10=60

6x+60

200

Question:5x(3x+6)

Answer:15x²+30

step: (5x)(3x)=15x²

(5x)(6)=30

15x²+30

300

Question:2x(8x²+100x⁵)

Answer: 16x³+200x²

(2x)(8x²)=16x³

(2x)(100x⁵)=200x⁶

16x³+200x²

400

Question:-8x(5x²-11x)

Answer:-40x³+88x²

Step:(-8x)(5x²)=-40x³

(-8x)(-11x)=88x²

-40x³+88x²

500

Question: 5(2x-3)-2(x+5)

answer:12x-5

step: 5(2x-3)-2(x+5)

5 x(2x)= 10x   5x-3=-15  

-2 x (x)=-2x      -2x5=-10

10x-15-2x-10

12x-5

Scientific Notation

100

Question: 5x10⁶

Answer:5000000

200

Question:5.43x10^-4

Answer: 0.000543

300

Question: 7.22224x10³

Answer: 7222.24

400

Question: 0.000 000 000 51

Answer: 5.1x10^-10

500

Question: 890 000 000 

Answer: 8.9x10⁸