Applications of Expressions

If a closet has length of (x + 2) ft and width of (3x - 7) ft, what is the area of the closet? (Hint: area = length x width)

• 3x² + x - 14

• 3x² - 13x - 14

• 3x² - x - 14

• 3x² +13x - 14

Tags

CCSS.HSA.APR.A.1

A rectangle has an area of 2x² – 19x +45 ft². What are the dimensions of the rectangle?   (Hint: you need to factor with bridge method)

• (2x - 9) ft

  and (x - 5) ft

• (2x + 9) ft

  and (x + 5) ft

• (2x - 5) ft

  and (x - 9) ft

• (2x - 5) ft

  and (x + 9) ft

What is the area for the given rectangle? (Remember: area = length x width)

• 6x³ - 9x² + 10x - 15

• 6x² + 1x - 15

• 6x² + 4x + 4

• 6x³ + 1x² - 15x

Tags

CCSS.HSA.APR.A.1

A rectangle has an area of 4x² +19x + 12 ft²and a length of (x + 4) ft. What is the width?

(Hint: factor 4x² +19x + 12)

• (4x - 3) ft

• (4x + 3) ft

• (2x + 6) ft

• (2x + 3) ft

What is the perimeter for the given rectangle? (Remember, perimeter means add up all the sides!!!)

• 6x³ - 9x² + 10x - 15

• 6x² + 1x - 15

• 6x² + 4x + 4

• 6x³ + 1x² - 15x

Tags

CCSS.HSA.APR.A.1

An amusement park charges $10 at the gate to enter and $5 for each ride. If (r) is the number of rides ridden, and (t) represents the total amount spent, find which equation models this situation.

• r = 10t - 5

• r = 5t

• t = 5r + 10

• t = 10t + 5d

Tags

CCSS.6.EE.C.9

UPS charges $7 for the first pound, and $0.20 for each additional pound. FedEx charges $5 for the first pound and $0.30 for each additional pound. What is the equation for the pricing for UPS?

• 7x + 0.20 = y

• 7 + 0.20x = y

• 5x + 0.30 = y

• 5 + 0.30x = y

Sophie has $14 and plans to save $5 each week until she has $64 she needs for a new jacket. What is the equation to solve for Sophie to know how many weeks she will need to save?

• 64 = 14x + 5

• 5x + 64 = 14

• 5x + 14 = 64

• 5x - 14 = 64

Tags

CCSS.7.EE.B.4A

You and 3 friends are going to the County Fair. You have a coupon that will save your group $20. If the total bill to get into the fair was $100, how much does one regular price ticket to the fair cost?
What is the correct equation to solve?

• 4p -20 = 100

• 4 -20p = 100

• 4 -20 = 100p

• 4p -20 = 80

Tags

CCSS.HSA.CED.A.3

Use the distributive property to simplify the expression

2(1+10v)

• 2+12v

• 2+20v

• 2+9v

Tags

CCSS.6.EE.A.3