Math

Simple Equations

100

Solve x-7= -6

x=1 The way to solve this would be to first add 7 to each side then simplify.

200

Solve t-1/4=3/4

t=1 To solve this your would first rewrite the problem, then add 1/4 to each side, and simplify.

300

Solve 0.09w=1.8

w=2 To solve this problem, first rewrite the problem in your workspace. Next divide both sides by 0.09. Then, simplify.

400

Solve x+5= -17

x= -22 To solve this equation, first you need to rewrite the problem in your work space. Next, subtract 5 from each side, to get x= -22.

500

Please solve and explain how to solve 41k=2,747

k=67 To solve this problem, first rewrite the problem on your work space. Then, divide both sides by 41 to get 67.

Multi-step equations

100

Solve 3y+2=11

y=1.7 To solve this problem first, rewrite the problem on your work space. Then, divide both sides by three to get y-2=36666667 Next, subtract 2 from each side to get y=1.6666667. Then, you can round to get y=1.7.

200

Solve 3x+5x+4-x+7

x=11 To solve this problem, first rewrite the problem in your work space. Then, combine like terms (3x,5x,and -x) to get 7x+4+7=88. Next, combine 7 and 4 to get 7x+11=88. Then, we can subtract 11 from both sides to get 7x=77. Then, divide to get x=11.

300

Solve 6=1-2n+5

n= -1 To solve this problem, first rewrite the problem on your work space. Then, combine 1 and 5 by subtracting 1 from 5 to get 6= -2n+4. Then, subtract 4 from both sides to get to get 2= -2n. Finally, divide by - 2 to get n= -1.

400

Solve 14= -(p-8)

-p=-22 To solve this problem, first rewrite the problem on your work space. Then, add 8 to 14 to get 22= -p. Well, if -p=22 then the answer must be -p=-22.

500

Solve and explain how to solve 12= -4(-6x-3)

x= -3.17 To solve this problem first, rewrite the problem in your work space. Then, add 4 to both sides. Next add three to both sides. Then, divide by -6 to get x= -3.17

Equations with Variables on Both Sides

100

Solve 2x+3=5x-2

x=.33333333333....... To solve this problem, first rewrite the problem on your work space. Next, combine like terms (2x and 5x) to get 3=3x-2. Then, you are going to subtract 2 from each side to get 1=3x. Finally, divide both sides by 3 to get .3.......

200

Solve -7x-3x+2= -8x-8

x= -2.5 To solve this problem, first rewrite it on your work space. Next, combine like terms (-7x+3x=-4x+8x=4x) This leaves you with 4x+2= -8. Then, subtract 2 from both sides to get 4x= -10. Then, divide both sides by 4 to get x= -2.5.

300

Solve −14 + 6b + 7 − 2b = 1 + 5b

b=2.66666666667 or 2.7 To solve this problem, first rewrite the problem on your work space. Then, combine like terms by adding 2b to 6b to get -14+8b+7-2b=1+5b. Then, subtract 5b from 8b to get -14+3b+7=1. Then, subtract 7 from each side to get -14+3b=-6. Next, add 14 to get 3b=8. Finally, divide by 3 to get b=2.666666667 or 2.7

400

Solve −8n + 4(1 + 5n) = −6n − 14

n= -1.88888888889 or 1.9 To solve this problem, first rewrite the problem on your work space. Then, use the distributive property to simplify 4(1+5n). This would give -8n+4+20n= -6n-14. Next, combine like terms (-8n, 20n, and -6n). This would give you 4+34n=-14. Next, subtract 4 from both sides to get 34n=-18. Finally divide by 34 on each side to get 1.888888889 or 1.9.

500

Solve and explain how to solve 8x+4(4x-3)=4(6x+4)-4

To solve this problem, first rewrite the problem. Then, use the distributive property to simplify the problem to 8x+16x-12=24x+16-4. Then, combine like terms. That leaves you with -16x=24. Then, divide to get x= -1.5

Linear Inequalities

100

Solve and Graph y>-6-5

y>-1 the graph should look like a open circle around -1 with a squiggly line going towards the right of the number line. To solve this problem, all you have to do is subtract 5 from -6

200

Graph this inequality x>-5

To graph this equation first you would have to get a number line. Then, put an open circle around -5 and a squiggly line going to the right.

300

Solve and Graph -4(-4+x)>56

x<10 To solve this problem, first use the distributive property. Next, subtract 16 from both sides. Then, divide by -4, but since you are dividing by a negative number, you have to flip the sign. This leaves you with x<10 To graph this put a open circle around 10 and a squiggly line to the left.

400

Solve and Graph -4(3+n)>-32

n<-5.5 To solve this problem first use the distributive property. Next, add 12 to each side. Then, divide by -4, but since you are dividing by a negative number, you have to flip the sign. To graph this put a open circle around -5.5

500

Solve and Graph -3(r-4)>or= 0

r< or =4 To solve this problem, first use the distributive property. Next, add 12 to each side. Finally divide both sides by -3, but remember to flip the sign. To graph this put a closed circle around 4, and then put a squiggly line to the right.

Absolute Value

100

Solve |9|

9

200

Solve |-4|

4

300

Solve |-5|+|7|=

12 To solve this problem add 5+7.

400

Solve |12|+|-6|

18 To solve this problem add 12+6

500

Solve and explain how you solved |6| x |-6|

36 To solve this problem multiply 6 and 6.