One-Step Equations
Two-Step Equations
Multi-Step Equations
Simplifying
Word Problems
100
Solve for q+8=2
q+8=2 q+8-8=2-8 q=-6
100
Solve for 3x+4=15
3x+4=15 3x=15-4 3x/3=11/3 x=11/3 or 3.66666666...
100
Solve for 7x+2=-54
7x+2=-54 7x=-54-2 7x=-56 7x/7=-56/7 x=-8
100
Simplify 4x + 9x
4x + 9x = 13x
100
A number is increased by 9 is 15. What is the number?
Let x be that number. x+ 9= 15 x=15-9 x= 6 ∴ The number is 6.
200
Solve for z-18= 7
z-18= 7 z= 7+18 z= 25
200
Solve for -2a+5=18
-2a+5=18 -2a= 18-5 -2a=13 -2a/-2=13/-2 a=13/-2 or -6.5
200
Solve for 4x-6=6x
4x-6=6x 4x-6x=6 -2x=6 -2x/-2=6/-2 x=-3
200
Simplify 2a + 3a – n – 2n
2a + 3a – n – 2n = 5a - 3n
200
A number is tripled and increase by 2. What is that number?
3x+2 3x=-2 x=-2/3 ∴ The number is -2/3
300
Solve the equation -5a= 25
-5a = 25 -5a/-5 = 25/-5 a = -5
300
Solve for 9x+4 = 12
9x+4= 12 9x=12-4 9x/9= 8/9 x=4/3 or 1.333333...
300
Solve for 8x-1=23-4x
8x-1=23-4x 8x+4x=23+1 12x=24 12x/12=24/12 x=2
300
Simplify 3(x + y)
3(x + y) =3x+3y
300
Coach Travis purchased 30 more golf balls than baseballs this season. If she purchased a total of 96 balls, how many baseballs and golf balls did he purchase?
The coach purchased 33 baseballs and 63 golf balls.
400
Solve for p/5 = 8
p/5= 8 p = 8*5 p = 40
400
Solve for -3x+8=20
-3x+8=20 -3x+8-8=20-8 -3x=12 -3x/-3=12/-3 x=-4
400
Solve for 5+4x-7=4x-2-x
5+4x-7=4x-2-x 4x-2=3x-2 4x-3x=-2+2 x=0
400
Simplify 5m – 2n – (-5m – 2n)
5m – 2n – (-5m – 2n) = 5m - 2n + 5m +2n = 10m
400
Cherry is twice as old as Morgan. In five years the sum of their ages will be 34. How old is each girl?
Morgan is 8 years old and Cherry is 16.
500
Solve for 13-k=-6
13-k=-6 13+6=k 19=k
500
(-4/7)k-9=1
(-4/7)k-9=1 (-4/7)k=1+9 (-4/7)k=10 (-7/4)(-4/7)k=10(-7/4) k=-70/4 k=-35/2 or -17.5
500
Solve (1/4)x+1=(1/6)x+(1/2)
(1/4)x+1=(1/6)x+(1/2) (1/4)x-(1/6)x=(1/2)-1 (6/24)x-(4/24)x=(1/2)-(2/2) (2/24)x=-1/2 (24/2)(2/24)x=(24/2)(-1/2) x=-24/4 x=-6
500
Simplify 4a – 2b -3c – (5a - 2b – 3c)
4a – 2b -3c – (5a - 2b – 3c) =4a – 2b -3c – 5a + 2b + 3c =4a - 5a -2b+2b-3c +3c = -a
500
A rectangle field has an area of 300 square meters and a perimeter of 80 meters. What are the length and width of the field?
length = 30 meters , width = 10 meters