Algebra I Module 1 Test Review

SCHOOL SUPPLIES Jaime bought a notebook and a box of pencils for $5.00. The notebook cost $3.00 and there are 10 pencils in a box. The equation 3 + 10p = 5 can be used to find the cost of one pencil. Select all equations that are equivalent.

• 10p = 8

• 10p =2

• p = 0.80

• p = 0.20

• 10p = 5

Part A

TREES A park has a ginkgo tree, a dogwood tree, and 2 blue spruce trees. The blue spruce trees are 8 years old. The ginkgo tree is 2 years less than three times the age of the dogwood tree. The ginkgo tree is also half the sum of the ages of the dogwood tree and both of the blue spruce trees.

Select the equation that can be used to find the ages of the ginkgo and dogwood trees. Let d = age of dogwood trees (in years).

• A)

  3d−2=12d+8+8

  
  

• B)

  32d=12d+8+8

  
  

• C)

  32d=12(d+8+8)

  
  

• D)

  3d−2=12(d+8+8)

  
  

Part B

Fill in the blank question.

Find the ages of the ginkgo and dogwood trees.

The gingko tree is years old, and the dogwood tree is years old.

TEMPERATURE A thermometer is accurate to ±2°F. Which absolute value equation can be used to find the greatest and least possible temperatures if the thermometer reading is 17°F?

• A)

  |t−17|=2

  
  

• B)

  |t+17|=2

  
  

• C)

  |t−2|=17

  
  

• D)

  |t+2|=17

  
  

Solve the absolute value equation −5 |x+1| + 2 = 12

• x = 1

• x = -3

• no solution

DISTANCE On a map of Texas, the distance between Dallas and Houston is 4.8 inches. If 1 inch = 50 miles, what is the distance, in miles, between the two cities?

• A)

  96 miles

• B)

  104 miles

• C)

  240 miles

• D)

  250 miles

Part A

GEOMETRY The volume of a box V is given by the formula V = 𝓁wh, where 𝓁 is the length, w is the width, and h is the height.

 

Solve the formula for h.

• h = V / (𝓁w)
• h = V * (𝓁w)
• h = V + (𝓁w)
• h = V - (𝓁w)

Part B

Fill in the blank question.

What is the height of a box with a volume of 50 cubic meters, length of 10 meters, and width of 2 meters?

• 25 meters
• 5 meters
• 10 meters
• 2.5 meters