Solving
-5p + 1 = 6
p = -1
Solve P = a + b + c for the variable b
b = P - a - c
The larger of two numbers is eight more than 6 times the smaller. Their sum is 148, what are the numbers?
The number are 20 and 128.
20/3 = x + 19/6
x = 7/2
y=-2
y = 4x + 6
(-2,-2)
4(6 + 5x) = 124
x = 5
Solve E=IR for the variable R
R=E/I
When the smaller of two consecutive integers is added to 9 times the larger, the result is 109. Find the two integers.
The consecutive numbers are 10 and 11.
-61/12 = b - 4/3
b=-15/4
y=3x
y = -5x – 8
(-1,-3)
-93 = 7(-3k - 8) + 5
k = 2
Solve P= (R-C)/n for the variable R
R= Pn + C
The length of a rectangular field is 22 meters longer than 3 times the width. If the perimeter of the field is 132 meters, what are the dimensions of the field?
The dimensions are 11m by 55m.
9/4 = -3n/2 + 19/4
n = 5/3
y = -4x+5
y = 2x – 7
(2, -3)
172 = 5(4a + 6) + 2
a=7
Solve A=(1/2)h(b1+b2) for b2
b2=(2A/h)-b1
Matt has a bag that contains 20 coins, all of which are either quarters or dimes. If the total value is $3.50, how many coins of each coin does Matt have?
Matt has 10 quarters and 10 dimes.
7/4(b-1) = 7/8
b = 3/2
x=3y–1
x + 2y = 9
(5, 2)
Verify if x = 3 is a solution to the equation:
4x - 17 = -2x + 32
Show if LS = RS?
NO! Verification shows LS does not equal RS (-5 does not equal 26)
(Solution = 49/6)
Isolate for x in:
y = (1/2)xz2
x = 2y/z2
Amy is 6 years older than Brad. In 12 years the sum of their ages will be 60. How old is Brad today?
Today, Brad is 15 years old.
5/7(3/2 + n) = 145/84
n = 11/12
x–y=2
4x – 3y = 11
(5, 3)