2-1
Write an equation for the sentence. Two added to three times a number m is the same as 18.
3m+2=18
Solve the equation. y-7=8
y=15
Solve each equation. -34=6m-4
x=-5
Solve the equation. 7c+12=-4c+78
c=6
Solve the equation. (7-2q)=3
()=Absolute Value
q=2 q=5
Translate each sentence into an equation or formula. Twice a increased by the cube of a equals b.
2a+a3=b
Solve the equation. -k/5=7/5
k=-7
Solve the equation. (n-2)/7=2
n=16
Solve the equation. (b-4)/6=b/2
b=-2
Solve the equation. (w+1)=5
()=Absolute Value
w=-6, w=4
Write an equation for each sentence. The product of 24 and x equals 14 minus 2 times x.
24/x=14-2x
Solve the equation. c/4=-9/8
c=-9/2
Solve the equation. 14= (6+z)/-2
z=-34
Solve the equation. 12-4/5(x+15)=(2/5)x+6
x=-5
Solve the equation. (5c-3)=1
()=Absolute Value
c=2/5
c=4/5
Translate each sentence into an equation or formula. Four times the sum of f and g is identical to six times g.
4(f+g)=6g
Supreme Court: Chief Justice William Rehnquist served on the Supreme Court for 33 years until his death in 2005. Write and solve an equation to determine the year he was confirmed as a justice on the Supreme Court.
x+33=2005; x=1972
Pet Shelters: Henry works at a pet shelter after school. He purchases a large package of dog treats. He sets aside 10 treats and distributes the rest equally among 15 dogs in the shelter. If each dog received 4 treats, write and solve an equation to find the number of treats t that were in the original package.
Geometry: Supplementary angles are two angles with measurements that have a sum of 180. Complementary angles are two angles with measures that have a sum of 90. The measure of the supplement of an angle is 10 more than twice the measure of the complement of the angle. Let 90-x equal the degree measure of the complement angle and 180-x equal the degree measure of the supplement angle. Write and solve an equation to find the measure of the angle.
180-x=10+2(90-x) x=10
Swimming Pool: Chlorine is added to a swimming pool to sanitize the water and make it safe for swimming. The chlorine should be in the range of 2-4ppm (parts per million). Write an equation to find the maximum and minimum chlorine concentration.
(x-3)=1
Athletics: Of 107 athletes surveyed about what sport they play, some play basketball. Of those that play basketball, 48 play baseball and the remaining 33 do not play baseball. Write an equation to find the number of athletes surveyed who do not play basketball.
(48+33)+n=107
Analyze: How would you solve 5x=35? How would you solve 5+x=35? How are the methods similar and how are they different?
Divide
Subtract
Keep both side of the equation equal.
Human Height: Micah's adult height is one less than twice his height at age 2. Micah's adult height is 71 inches. Write and solve an equation to find Micah's height h at age 2.
71=2h-1, h=36inches
Two times the quantity of eight times a number plus two is equal to three times the quantity of two times the same number minus 7. Write and solve an equation to find the number.
2(8n+2)=3(2n-7), n=-2.5
Engineering: Tolerance is an allowance made for imperfections in a manufactured object. The manufacturer of an oven specifies a temperature tolerance of plus of minus 15 degrees. This means that the temperature inside the oven will be within 15 degrees of the temperature to which it is set. Write and solve an absolute value equation to find the maximum and minimum temperatures inside the oven when it is set to 400 degrees.
(t-400)=15 min=385 max=415