Expressions
Write the following as an algebraic expression.
the quotient of 22 and a number
22/y
Solve the equation
2x=16
x=8
WORK
2x=16 Divide both sides by 2
x=8
Solve the equation
-8(2x - 1) = 40
x = -2
WORK
-8(2x - 1) = 40 Distribute -8
-16x+8=40 Subtract 8 on both sides
-16x=32 Divide both sides by -16
x=-2
Solve for w
P=2L+2W
W=(P-2L)/2
WORK
P=2L+2W Subtract 2L from both sides
P-2L=2W Divide both sides by 2
W=(P-2L)/2
Solve the equation
|x|=8
x=8, x=-8
WORK
|x|=8 Separate into two equations
x=8 x=-8
Write the following as an algebraic expression.
twenty less than a number
x-20
Solve the equation
x+5=-9
x = -14
WORK
x+5=-9 Subtract 5 on both sides
x=-14
Solve the equation
5 = 5m - 23 + 2m
m =4
WORK
5 = 5m - 23 + 2m Combine like terms
5=7m-23 Add 23 to both sides
28=7m Divide both sides by 7
m=4
Solve for b
A=bh
b = A/h
WORK
A=bh Divide both sides by hb=A/h
Solve the equation
|x+3|=10
x=7, x=-13
WORK
|x+3|=10 Separate into two equations
x+3=10 x+3=-10 Subtract three on both sides
x=7 x=-13
Evaluate the expression using the values given
3p-4+n+p, when n=3 and p=4
15
WORK
3(4)-4+(3)+(4)
12-4+3+4
15
Solve the equation
3y+11=-16
y=-9
WORK
3y+11=-16 Subtract 11 on both sides
3y=-27 Divide both sides by 3
y=-9
Solve the equation
(x + 4) + 2x = 67
x = 21
WORK
(x + 4) + 2x = 67 Combine like terms
3x+4=67 Subtract 4 on both sides
3x=63 Divide both sides by 3
x=21
Solve for C
F=(5/9)C+32
C=(9/5)(F-32)
WORK
F=(5/9)C+32 Subtract 32 on both sides
F-32=(5/9)C Multiply both sides by (9/5)
C=(9/5)(F-32)
Solve the equation
|3x|-10=-1
x=3, x=-3
WORK
|3x|-10=-1 Isolate the absolute value. Add 10
|3x|=9 Separate into two equations
3x=9 3x=-9 Divide both sides by 3
x=3 x=-3
Evaluate the expression using the values given
xz(z+x2), when x=2, z=3
42
WORK
(2)(3)(3+(2)2)
6(3+4)
6(7)
42
Solve the equation
6x+2=50
x = 8
WORK
6x+2=50 Subtract 2 on both sides
6x=48 Divide both sides by 6
x=8
Solve the equation.
2(5x - 1) = 3(x + 11)
x = 5
WORK
2(5x-1)=3(x+11) Distribute the 2 and 3
10x-2=3x+33 Subtract 3x on both sides
7x-2=33 Add 2 to both sides
7x=35 Divide both sides by 7
x=5
Solve for y
5x+8y=40
y=(40-5x)/8
WORK
5x+8y=40 subtract 5x on both sides
8y=40-5x divide both sides by 8
y=(40-5x)/8
Solve the equation
8+4|-8a-8|=104
a=-4 a=2
WORK
8+4|-8a-8|=104 Isolate the abs value. Subtract 8
4|-8a-8|=96 Isolate the abs value. Divide by 4
|-8a-8|=24 Separate into two equations
-8a-8=24 -8a-8=-24 Add 8 to both sides
-8a=32 -8a=-16 Divide both sides by -8
a=-4 a=2
Simplify the expression
d2-7d2+5d3-6+10d2
5d3+4d2-6
WORK
5d3+d2-7d2+10d2-6
5d3+4d2-6
Solve the equation
-27 = -10x + 3
x = 3
WORK
-27=-10x+3 Subtract 3 on both sides
-30=-10x Divide both sides by -10
x=3
Solve the equation
9m - 4 = -3m + 5 + 12m
No solution
WORK
9m-4=-3m+5+12m Combine like terms
9m-4=9m+5 Subtract 9m on both sides
-4=5
Solve for x
5x+8y=40
x=(40-8y)/5
WORK
5x+8y=40 subtract 8y on both sides
5x=40-8y divide both sides by 5
y=(40-8y)/5
Solve the equation
-7|3m+2|-10=60
No solution
WORK
0.10n + 15 = 0.15n + 10
0.10n - 0.10n + 15 = 0.15n - 0.10n +10
15 = 0.05n + 10
15 - 10 = 0.05n + 10 - 10
5 = 0.05n
5/0.05 = 0.05n/0.05
100 = n ~~~>100 cards
BONUS answer: It would cost $25.00 to make 100 cards from either place.
WORK
-7|3m+2|-10=60 Isolate abs value. Add 10
-7|3m+2|=70 Isolate abs value. Divide by -7
|3m+2|=-10 Absolute value cannot be negative
No solution