Midterm Review Algebra I

A machine is used to fill each of several bags with 16 ounces of coffee. After the bags are filled, another machine weighs them. If the bag weighs over 0.5 ounces more or less than the desired weight, the bag is rejected.

Which of the following inequalities could be used to find weights of bags that will be rejected?

• |x - 16| < -0.5

• |x + 16| > 0.5

• |x - 0.5| < 16

• |x - 16| > 0.5

An Absolute Value expression always evaluates to a/an _____________ number, or zero.

• Positive
• Negative
• Even
• Odd

Tags

CCSS.6.NS.C.7C

Which of the equations below has more than one solution?

• | x | = 5
• | x | = ^-5
• | 5 | = x
• | ^-5 | = x

No calculators: Convert 2 ⅝ to a decimal.

• 2.58

• 2.625

• 2.60

• 2.525

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

Patricia's commute to and from work is 40 miles round-trip. If her car gets 25 miles per gallon (mpg) and gas costs $2.50 per gallon, what is the value of gas she uses for one workweek (5 days) of commuting?

• $20.00

• $72.50

• $8.00

• $12.80

Tags

CCSS.7.EE.B.3

A 25,000-gallon pool is full when it springs a leak that lets 25 gallons per minute out of the pool. Which equation below describes this situation? Let t = time after the leak sprung (in minutes) and G = gallons remaining in the pool.

• G= 25,000 - 25t

• G = 25,000t - 25

• G= 25t + 25,000

• G= 25 + 25,000t

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Felipe has two summer jobs. He earns $6.00 per hour working at an ice-cream stand and $9.00 per hour mowing lawns. He must work exactly 15 hours per week at the ice-cream stand, but he can work as many hours as he wants mowing lawns. Next week he wants to earn $270. Which equation below could help you find how many hours he needs to spend mowing lawns to meet this goal?

• (6 + 9)x + 15 = 270

• 6⋅15 + 9x = 270

• (6 + 15)x+ 9⋅15 = 270

• 6x + 9x + 15 = 270

Tags

CCSS.7.EE.B.4A

What value of "x" would make √(20x) equivalent to 2√(30) ?

• 2

• 3

• 6

• 12

Re-write the equation 2x − 4y = 12 so that "y" is isolated.

• y = 2x − 3
• y = (½)x + 3
• y = ⁻2x− 3
• y= (½)x - 3

Tags

CCSS.6.EE.C.9

Which equation below could have produced this solution table?

• y = 3.75x + 2.5
• y = 3.75x + 2
• y = 2x + 2
• y = 2x + 2.5

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2