Writing Equations
The product of a number m and 2 is 8.
2m=8
Is x = 7 a solution of x + 9 = 16?
Yes, it is a solution.
Solve 6q = 54.
q = 9
Is (2,7) a solution of y = 3x + 1?
Yes, it is a solution.
You buy roses at a flower shop for $3 each. How many roses can you buy with $27?
9 roses
6 less than a number t is 17.
t - 6 = 17
Solve x - 1 = 8.
x = 9
Solve k/3 = 21.
k = 63
Is (4,22) a solution of y = 7x - 4?
No, it is not a solution.
You are making fruit baskets using 16 apples, 24 pears, and 32 bananas. What is the greatest number of baskets you can make using all of the fruit?
8 baskets
A number m increased by 5 is 7.
m + 5 = 7
m = 4
Solve 5/7a = 25.
a = 35
Graph y = 7x.
See graphs.
What is the value of 46.8 / 0.156 ?
300
8 is the quotient of a number g and 3.
8 = g / 3
Solve 21 = p - 12.
p = 33
Answers will vary.
The equation y = 64 - 8x represents the amount y (in fluid ounces) of chemical remaining in a flask after you pour x cups. Identify the independent and dependent variable.
Dependent: y (chemical remaining)
Distributive Property.
Answers will vary.
A stuntman is running on the roof of a train. His combined speed is the sum of the speed of the train and his running speed. The combined speed is 73 miles per hour, and his running speed is 15 miles per hour. Find the speed of the train.
58 miles per hour
The weight of an object on the Moon is about 16.5% of its weight on Earth. The weight of an astronaut on the Moon is 24.75 pounds. How much does the astronaut weigh on Earth?
150 pounds
A car averages 50 miles per hour on a trip. Write an equation that represents the relation ship between t time and d distance traveled. How long does it take the car to travel 525 miles?
y = 50x
10.5 hours
A company ordering parts receives a charge for $25 for shipping and handling plus $20 per part. Write an equation that represents the cost c (in dollars) of ordering p parts?
c = 25 + 20p