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Mid-Year Review

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  • Simplify.
    14
  • Will the following product be positive or negative? (-56)(76)(-23)(-5)(-10)(81)(-4). Explain how you know.
    negative since there is an odd number of negatives
  • Perform the following operation.
    1 1/6
  • Which can of soup is the best buy?
    10 oz soup
  • An airplane is 375 feet above sea level while a submarine is 150 feet below sea level. What is the difference between the height of the airplane and the submarine?
    525 feet
  • 12% of the cars that went through the car wash were blue. If 9 blue cars went through the car wash, how many cars went through the carwash?
    75 cars
  • Does the table show a proportional relationship? If no, explain. If yes, what is the equation?
    non proportional
  • A $54 backpack is on sale for 15% off. What is the sale price of the backpack?
    $45.90
  • The temperature on Sunday was -15 degrees Celsius. The temperature on Monday was 12 degrees less than the temperature on Sunday. What was the temperature on Monday?
    -27 degrees Celsius
  • Does the table show a proportional relationship? If no, explain. If yes, what is the equation?
    proportional, k=9, y=9x
  • 60% of toys at a toy store require batteries. If there are 70 toys in the store, how many require batteries?
    42 toys
  • One side of a square is 5x-4 inches. What is the perimeter of the square as a simplified expression?
    20x - 16
  • Factor the expression: 18x + 12
    6(3x + 2)
  • A hose is leaking 2/3 gallon of water every 4/5 hour. How many gallons are leaking out per hour?
    5/6 gallon per hour
  • Does the table show a proportional relationship? If no, explain. If yes, what is the equation?
    proportional, k=1/4, y=1/4x or y=0.25x
  • Find the product.
    2 3/5
  • Solve the equation.
    x=-9
  • Solve and graph the inequality: -4x < -48
    x > 12, open circle shaded to the right
  • Translate: 3 more than the product of number, x, and 2
    2x + 3
  • Solve the equation: 2/3x + 7 = 15
    x=12
  • Which sum or difference is equal to 0?
    D
  • Factor the expression: 15x - 26
    CBF
  • Simplify the expression: 3x - 2 - 8x + 5
    -5x + 3
  • Simplify the expression: 6(2x-1) - 9x
    3x - 6
  • The average price of a dozen eggs has increased 60% over the past year. If the average price of one dozen eggs was $2.65 last year, what is the price this year?
    $4.24
  • A brownie recipe calls for 2/3 cup of sugar for 1/3 batch of brownies. How much sugar is needed for 1 batch of brownies?
    2 cups
  • Translate into an expression: 5 less than x
    x - 5
  • Convert 2/15 to a decimal.
    0.133333...
  • Max needs at least $210 for a new video game system. He has already saved $50. He earns $10 an hour at this job. Write and solve an inequality to find how many hours he will need to work to buy the system.
    let x+ # of hours, 10x + 50 greater than or equal to 210, x greater than or equal to 16. He needs to work for at least 16 hours.
  • What is the constant of proportionality from the graph?
    7
  • Which is the correct solution to the inequality?
    D
  • Which graph is nonproportional?
    D
  • Lily won $3,000 from a radio contest. If she puts this money in a bank account that earns 2.9% simple interest, how much will she have in total in her account at the end of 10 years?
    $3,870
  • One week, 70 people got a speeding ticket. The next week, only 42 people got a speeding ticket. What is the percent of change in the speeding tickets?
    40% decrease
  • Perform the following operation: 1/4 - 5/8
    -3/8