Equations

Writing Equations

100

The product of a number m and 2 is 8.

2m=8

200

6 less than a number t is 17.

t - 6 = 17

300

A number m increased by 5 is 7.

m + 5 = 7

400

8 is the quotient of a number g and 3.

8 = g / 3

500

Write an equation that has a solution of x = 8. 

Answers will vary. 

Solving Equations (+& -)

100

Is x = 7 a solution of x + 9 = 16?

Yes, it is a solution. 

200

Solve x - 1 = 8.

x = 9

300

Solve m + 7 = 11.

m = 4

400

Solve 21 = p - 12.

p = 33

500

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

Solving Equations (/ & *)

100

Solve 6q = 54.

q = 9

200

Solve k/3 = 21.

k = 63

300

Solve 5/7a = 25. 

a = 35

400

Write an equation that can be solved using multiplication or division and has a solution of x = 12.

Answers will vary.

500

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

Equations in Two Variables

100

Is (2,7) a solution of y = 3x + 1?

Yes, it is a solution.

200

Is (4,22) a solution of y = 7x - 4?

No, it is not a solution. 

300

Graph y = 7x. 

See graphs. 

400

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. 

Independent: x (number of cups)

Dependent: y (chemical remaining)

500

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

Mixed Review

100

You buy roses at a flower shop for $3 each. How many roses can you buy with $27?

9 roses

200

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

300

What is the value of 46.8 / 0.156 ?

300

400

Name the property that is illustrated by the expression 5(a + 6) = 5(a) + 5(6).

Distributive Property. 

500

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