Pre-Algebra Unit 2 Flashcards

1
Q

True or False. X - 6 translates as “a number subtracted from 6.”

A

False

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2
Q

True or False. 4 b + 19 can be translated as “nineteen more than the product of 4 and a number.”

A

True

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3
Q

True or False. To solve 38 = 6 x - 16, you would subtract 16 and then divide by 6.

A

False

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4
Q

True or False. One hundred is the solution of the equation m - 61 = 39.

A

True

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5
Q

True or False. “Five times a number” can be written as 5 x .

A

True

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6
Q

Which of the following steps could be used to solve the equation 93 = x + 58?

  1. Add 58 to both sides.
  2. Subtract 58 from both sides.
  3. Multiply both sides by 58.
  4. Divide both sides by 58.
A
  1. Subtract 58 from both sides
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7
Q

Which of the following is a solution for the equation 7 x + 21 = 105?

  1. 105
  2. 84
  3. 15
  4. 12
A

12

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8
Q

The senior class had a car wash to raise money for the senior trip. It cost them $35 for supplies. They washed 75 cars and charged $6 for each car.

Which of the following expressions represents the money they raised for their trip?

  1. $35 + 75 · $6
  2. $35 - 75 · $6
  3. 75 · $6 - $35
  4. 75 - $35 · $6
A

75 · $6 - $35

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9
Q

All of the following represent the same expression except _____.

  1. 19 less than 25
  2. 25 less than 19
  3. 19 subtracted from 25
  4. 25 minus 19
A

25 less than 19

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10
Q

The following is a model showing the solution to an equation.

x - 34 = 13
x - 34 + 34 = 13 + 34
x = 47

What property of equality was used to solve the equation?

  1. addition
  2. subtraction
  3. multiplication
  4. division
A

Addition

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11
Q

The cost to rent a video game for 3 days was $10. It costs the same amount each day.

How could one find the cost to rent the video for one day?

  1. The cost to rent for one day is the product of $10 and 3
  2. The cost to rent for one day is the sum of $10 and 3
  3. The cost to rent for one day is the quotient of $10 and 3
  4. The cost to rent for one day is the difference of $10 and 3
A

The cost to rent for one day is the quotient of $10 and 3

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12
Q

Clarence solved the equation 3 x + 15 = 33 and showed the following work.

3 x + 15 = 33 
3 x + 15 - 15 = 33 
3 x = 33 
 =  
x = 11

Which of the following is true?

  1. x is 11.
  2. x should be 6.
  3. x should be 16.
  4. x should be 99.
A

X should be 6

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13
Q

Which of the following expressions represents “5 less than 3 times the number m “?

  1. 5 - 3 m
  2. 3 m - 5
  3. 5 m - 3
  4. 3 - 5 m
A

3 m - 5

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14
Q

Maria paid $48 for herself and two of her friends to go to a concert. The tickets are all the same price.

What equation could be used to find the price of one ticket?

  1. p = 3 · $48
  2. p = $48 - 3
  3. 3 = $48 p
  4. $48 = 3 p
A

$48 = 3 p

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15
Q

If g( n ) = 3 n - 2, then what is the value of g(10)?

  1. 4
  2. 28
  3. 308
  4. 24
A

28

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16
Q

Which term does not represent the same data as the others?

  1. x -value
  2. output
  3. range
  4. second element
A

x -value

17
Q

Jen has collected information about the students in her class and the month they were born.

Which of the following statements would be true about this information?

  1. It is both a relation and a function.
  2. It is a relation but not a function.
  3. It is not a relation, but it is a function.
  4. It is neither a relation nor a function.
A

It is both a relation and a function

18
Q

If y ( x ) = 4 x , what is x when y ( x ) = 4?

  1. 1
  2. 4
  3. 2
  4. 0
A

1

19
Q

Which number set correctly represents the range of the given data?
{(0, 0), (2, 0), (3, 0), (5, 0)}

  1. {0}
  2. {0, 2}
  3. {0, 2, 3}
  4. {0, 2, 3, 5}
A

{0}

20
Q

The sum of -5, -9, and 10 is _____.

  1. -4
  2. 14
  3. -14
  4. 4
A

-4

21
Q

What is the change in temperature from -8°F to 14°F?

  1. 22°F
  2. -22°F
  3. -6°F
  4. 6°F
A

22°F

22
Q

The value of 30 - (2 - 4) ÷ (-2) is _____.

  1. -16
  2. -14
  3. 31
  4. 29
A

29

23
Q

The temperature was -12 degrees in the morning and rose to a high of 27 degrees for the day.

What was the increase in temperature for the day?

  1. 12 degrees
  2. 15 degrees
  3. 27 degrees
  4. 39 degrees
A

39 degrees

24
Q

Jenna multiplied four numbers together and then divided by -2. The result was a positive value.

Which of the following statements MUST be true?

  1. None of the factors were negative.
  2. All of the factors were negative.
  3. An odd number of factors were negative.
  4. An even number of factors were negative.
A

An odd number of factor were negative

25
Q

Evaluate | x + y |, for x = 8 and y = -15.

  1. 7
  2. -7
  3. 23
  4. -23
A

7

26
Q

All of the following expressions are equivalent except _____.

  1. 2 - x
  2. x - 2
  3. -2 + x
  4. x + (-2)
A

2 - x

27
Q

Which of the following expressions does not mean the same as the other three?

  1. x - 17
  2. x + (-17)
  3. x - (-17)
    • 17 + x
A

x - (-17)

28
Q

Which property of equality would be used to solve the equation -3 x = 252?

  1. addition
  2. subtraction
  3. multipication
  4. division
A

Division

29
Q

Which of the following is the solution to 17 - 2 x = -11?

  1. -14
  2. -3
  3. 3
  4. 14
A

14

30
Q

Brenda has $43 in the bank. Each month the bank deducts $5 from her account for a service fee.

Which equation represents the dollar amount, d , in her account after m months?

  1. d = 43 - 5 m
  2. d = 43 m - 5
  3. d = 5 m - 43
  4. d = 5 - 43 m
A

d + 43 - 5 m

31
Q

Solve -103 = 6 x + 17.

  1. -16
  2. 16
  3. -20
  4. 20
A

-20

32
Q

The sports boosters club is having a bake sale to buy uniforms. They want to raise $250. They need to rent a booth for $20. How many dozen cookies will they need to sell if they charge $3 per dozen?

Which equation could be used to solve this problem?

  1. 250 = 3 c - 20
  2. 250 = 3 - 20 c
  3. 250 = 20 - 3 c
  4. 250 = 20 c - 3
A

250 + 3 c - 20

33
Q

Kiera wants to increase her savings account to a balance of $1,350. Her current balance is $174 and she adds $84 a month to her savings.

How many months will it take for her to reach her goal of $1,350?

  1. 16 months
  2. 14 months
  3. 18 months
  4. 12 months
A

14 months

34
Q

Which of the following equations is not equivalent to the others?

  1. y = -3 x - 4
  2. y = -3 x + (-4)
  3. y = -4 + 3 x
  4. y = -4 - 3 x
A

y + -4 + 3 x

35
Q

Solve X/3 = 9.

  1. 3
  2. 12
  3. 27
  4. 0
A

27

36
Q

Santosh is four more than three times the age of his cousin. If Santosh is 49 years old, then what is the age of his cousin?

Identify the two operations, in their appropriate order, needed to solve this equation.

  1. Subtract and then multiply.
  2. Add and then multiply.
  3. Subtract and then divide.
  4. Add and then divide.
A

subtract and then divide