Solve the Equation
Solve the equation:
x-3-3x=-13
x=5
Half of a number is equal to seventeen.
1/2x=17
7x-5=12x-5
One
3x+4=4+3x
Commutative Property of Addition
Solve the equation:
frac{4(x+3)}{6}=8
x=9
Solve the equation:
3(8x+2)=198
x=8
The difference of a number twice x and four is 12 more than the number x.
2x-4=x+12
3(x+4)=4+3x
Many
5(x+9)-13
Distributive Property
Determine the number of solutions for the equation below and prove you are correct by solving the equation.
3(x+5)-6x=4x-13
One Solution
x=4
Solve the equation:
-7(1-8n)=105
n=2
DOUBLE YOUR POINTS!
Two times the difference of a number and sixteen plus four is twenty-seven more than a number.
2(x-16)+4=x+27
-30+4x=4x-30
None
a*(b*c)=(a*b)*c
Simplify the radical in simplest form:
sqrt352
4sqrt22
DOUBLE YOUR POINTS!
Solve the equation:
6(x-3)=10x-18
x=0
Five less than four times a number is ten subtracted from that number.
4x-5=x-10
8x-12=2(2x+6)
one
3x+5=18
3x+5-5=18-5
Subtraction Property of Equality
Name and give and example the three properties we have previously learned about.
3+5=5+3
3*5=5*3
Commutative Property of addition and multiplication
(2+3)+4=2+(3+4)
(2*3)*4=2*(3*4)
Associative Property of addition and multiplication
a(b+c)=ab+bc
Distributive Property
Solve the equation:
-4(1+4x)-6x=-180
x=8
One third the sum of a number and eighteen is equal to twelve subtracted from the number.
1/3(x+18)=x-12
9x-2=1/2(18x-4)
Many
TRIPLE YOUR POINTS!!
4(x-2)=12
4x-8=12
4x-8+8=12+8
Distributive Property
Addition Property of Equality
DOUBLE YOUR POINTS! IF YOU ARE WRONG, LOSE ALL YOUR POINTS!
Translate to an algebraic expression.
Francisco is three years more than twice Jenna's age. Harrison is two years less than three times Jenna's age. If Jenna's age is given by a, then write an expression for Francisco's age, Harrison's age, and the sum of all three ages, in terms of a.
Jenna's Age:
Francisco's Age:
Harrison's Age:
Sum of All Three Ages:
2a+3
3a-2
6a+1