Math 1 Benchmark #3

A traveler drives a truck for x miles before running low on fuel. If the truck initially has 60 gallons of fuel in its tank, and the truck uses (1/16) gallon of fuel per mile, which equation represents the number of miles the traveler can drive until there are only 5 gallons of fuel remaining in the tank?

• 5 - (1/16)x = 60

• 5x - 16 = 60

• 60 - (1/16)x = 5

• 60x - 16 = 5

Tags

CCSS.HSA.CED.A.3

Consider the equation: (-4(9x - 3))/6 = -6x - 7. What is the solution to the equation?

• x = -7 only

• x = -6 only

• There are infinitely many solutions to the equation

• There is no solution to the equation

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.REI.A.2

The box plot represents the number of patients that visit a doctor's office each day for the month of February. Which statement must be true?

• Since the box plot shows a symmetric distribution, the median is the best measure of center for the data

• Since the box plot shows a symmetric distribution, the mean is the best measure of center for the data

• Since the box plot shows a skewed distribution, the median is the best measure of center for the data

• Since the box plot shows a skewed distribution, the mean is the best measure of center for the data

Tags

CCSS.HSS.ID.A.2

CCSS.6.SP.B.5D

What value of x makes the equation \(\frac{2x+1}{5} = \frac{x-4}{2}\) true?

Tags

CCSS.8.EE.C.7B

What value of x makes the equation \(5(x - 2) - 10 = 3(8 - 4x) + 6x\) true?

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

What is the solution to -1/2(4x + 6) = 3(x - 1)?

Tags

CCSS.8.EE.C.7B

What value of x makes the equation 4(2x + 1.3) = -20.8 true?

Tags

CCSS.7.EE.B.4A

If during a single hockey season, a total number of 130 shots are attempted on the goal and a goalie has a save percentage of 0.600, which equation could be used to determine the number of shots the goalie saves, t?

• A) (t/130) = 0.600

• B) (130/t) = 0.600

• C) (130 + t)/217 = 0.600

• D) (217 + t)/130 = 0.600

Tags

CCSS.HSA.CED.A.3

During the same season, a backup goalie saves t shots and has a save percentage of 0.560. If the total number of shots attempted on the goal is 75, exactly how many shots does the backup goalie save?

• A) 14 shots

• B) 21 shots

• C) 37 shots

• D) 42 shots

Tags

CCSS.7.EE.B.3

A student solves the equation 3(2x + 1) = 6 − 5(−x − 2). The table shows the student's work. Which statement is true?

• The student makes a mistake between the Given and Step 1, and the correct answer is x = 3.

• The student makes a mistake between Step 1 and Step 2, and the correct answer is x = 13.

• The student makes a mistake between Step 2 and Step 3, and the correct answer is x = 19.

• The student makes no mistakes when solving the equation and finds the correct answer.

Tags

CCSS.HSA.REI.A.1