Translating Equations
Write an equation that matches the phrase "five more than a number x is 12."
x+5=12
Solve for Y: 3y - 5 = 16
y=7
5t=6(t-2)
t=12
Solve: 3|x+6|=30
(remember you need 2 solutions)
x = -16, 4
7/10 = m/14
(you will get a decimal)
m= 9.8
Solve for F: 7f+g=5
f = frac{5-g}{7}
Translate to an equation: "Three times the sum of a number n and 4 equals 21."
3(n+4)=21
Solve for Z:
z/4 + 6=11
z=20
4(x+9) = 6x-4
x=20
A student is thinking of a number that is 7 units away from 3 on a number line.
(you should have 2 solutions)
Equation needed: |x-3|=7
Answers: -4, 10
8/13 = v/21
(you will get a decimal)
v=12.92
Solve for Y: x - 2y = 1
y = frac{1-x}{-2}
Translate: "The product of 7 and a number decreased by 2 equals 19"
7n-2=19
Solve for H:
24= 1/2h(4+6)
(you will get a decimal)
h=4.8
7x-12 = 3x+16
Solve: |3x-6| = 12
(remember you need 2 solutions)
x = -2, 6
x/3 = frac{3x+2}6
x= -2
Solve for D: t=5d
d= 1/5d
Create an equation: A gym charges a $25 sign-up fee plus $15 per month for membership. After several months, Sarah has paid a total of $100.
25+15x=100
Solve for P: 21=3p-6
p=9
A movie theater charges different prices for adults and children. Five adult tickets cost $8 each, plus an $8 service fee. Two adult tickets cost $8 each, while 20 child tickets cost $1 each.
How many tickets would make the two costs equal?
Equation: 5x+8=2x+20
x=4
A thermometer is accurate to +-5 degrees. Create an absolute value equation that can be used to find the highest and lowest temperatures if the thermometer is reading 19 degrees?
|x-19| = 5
frac{x+15}10 = 8/5
x=1
Solve for a: 6 + a/4 = 3
a = -12
Write an equation from this real-world phrase: "A taxi charges a $3 base fare plus $2 per mile. If the total fare is F for m miles, write an equation relating F and m. Then write the equation when the total fare is $11."
F=3+2m
Solve for P: 2/3p - 1/2 = 7/6
p=30/12 or 15/6 or 2 1/2 or 2.5
James and Marcus are saving money. James currently has $8 more than 4 times the amount Marcus has. Marcus has $16 less than 6 times the amount James has.
How much money does each person have when their amounts are represented by the equation 4x + 8 = 6x - 16?
x=12
Create an absolute value equation to represent the distance a football travels when thrown 17 yards from the 50-yard line.
|x-50|=17
frac{3}{x+4} = frac{2}{x-4}
x = 20
Solve for d: frac{df+10}{6} = g
d= frac{6g-10}{f}