Lesson 1
Solve for X
x+(-2)=-8
x=-6
Solve for n
3n-4=11
n=5
Solve for p
17=p - 3 - 3p
p=-10
5x+13=2x+22
x=3
Solve for y.
3x+y=10
y=10-3x OR y=-3x+10
Solve for x
x-(-15)=10
X=-5
Solve for b
4b+6=-2
b=-2
Solve for x
5(2x-3)=15
x=3
(x-6)/2=x-4
x=2
Solve for x.
a/x - b/x = c
x = a/c - b/c
Solve for X
-4x=24
x=-6
Solve for b
14-b=19
b=-5
Solve for g
1.06g - 3=0.71
g=3.5
A student solved an equation and found that the variable was eliminated in the process of solving the equation. How would the student know whether the equation is an identity or an equation with no solution?
If the numeric values are the same on both sides, it is an identity. If they are different, it is no solution.
Solve for y.
ax+2xy=14
y=[-ax+14]/2x
Solve for X
-x/4 = -(-7)
x=-28
Sole for x
10=0.3x - 9.4
x = 64.6
Solve for d
3d + d - 7=25/4
d=3.3125 OR d=3 5/16 OR 53/16
2a+3=0.5(6+4a)
a=infinitely many solutions
The area formula for a trapezoid is A=1/2h(base1+base2). The two bases measure 2 units and 1.5 units. The height measures 4 units. What is the area of the trapezoid?
7 square units
In a school's musical, a choir member sang in the backup chorus for half the songs in the show, which was 12 songs. A student concludes that one half of 12 is 6, so there were 6 songs in the show. Write an equation that would help the student understand the correct number of songs in the musical. Make sure to define the variable.
x= # of songs
1/2x = 12 OR x/2=12
Solve for y
[2+y]/3=-1
y=-5
Write an equation, then solve for the answer.
Find three consecutive integers with a sum of 45.
x+x+1+x+2=45
14, 15, 16
3x-6[x-(-9)]=7(x+1)+3
-6.4
A triangle has a base of 7 units and an area of 17.5 square units. What is the height of the triangle?
A=1/2bh
5 units