Solving Equations Basic

Write an equation.
A number is doubled, then 9 is added. The result is 23.

• 2x + 9 = 23

• 2x - 9 = 23

• 2x + 9x = 23

• 9 - 2x = 23

Solve the proportion:

• 15

• 5

• 10

• 12

WRITE AN EQUATION You bought a magazine for $5 and four erasers. You spent a total of $29. Which equation would you use to determine how much each eraser cost?

• 5x + 4 = 29

• 4x + 5 = 29

• 5x = 29

• 29 - 5 = -4x

Rachel and Sharon are splitting up their Pokemon cards.  Rachel has 4 fewer than 3 times as many as Sharon.  Together they have 100 cards.  Which equation could be used to solve for how many cards Sharon had originally?

• n + (3n - 4) = 100

• n - (3n - 4) = 100

• n + (4 - 3n) = 100

• 4 - 3n = 100

Jason says that 10 less than one third of his age is 11 years old.  How old is Jason?

• 3 years old

• 7 years old

• 57 years old

• 63 years old

Erika sold half of her comic books and then bought sixteen more. She now has 36. How many did she begin with?

• 36

• 40

• 20

• 10

A toy company spends $1500 per day for factory expenses plus $8 to make each teddy bear.  They sell the teddy bears for $12 a piece.  Which equation could be used to find the number of bears t the company has to sell in one day to equal its daily cost?

• 1500 + 8t = 12

• 12 + 8t = 1500

• 1500 + 8t = 12t

• 8t = 12t + 1500

A yard's width is 2 less than it's length. If the perimeter of the yard is 20 feet, determine the length and the width of the yard. (Hint: Draw a picture)

• length = 2 ft, width = 4 ft

• length = 6 ft, width = 4 ft

• length = 4 ft, width = 6 ft

A local donut shop charged $6.50 for a dozen and provided a coupon in the newspaper for $1.50 off an order. Since the donut shop has gained popularity they have changed their coupon which now provides a discount of only half their original coupon's value. What is the equation that represents the value of a customer's order who uses the new coupon with their order?

• y = 6.50x - 0.75

• y = 6.50x + 0.75

• y = 6.50x - 1.50 - 0.75

• y = 5x - 0.75

What is the first step (after setting up your workspace) to complete when solving this equation?
10 - 3y = 4

• Add 10

• Subtract 10

• Add 3

• Divide by -3