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Algebra 1 | Quiz 2.7-2.9

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  • Collect like terms. 17a - 17b - 17c + 15a
    32a - 17b - 17c
  • There are 775 dogs and cats in an animal shelter. There are 423 dogs in the shelter. How many cats are there? Let c = # of cats. (Write an equation that can be used to solve the prob. Do NOT solve.)
    see student answers
  • 2.7, #25
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  • Multiply. -7(y - 2)
    -7y + 14
  • Simplify. 6m - n - 4m - (5n - m)
    3m - 6n
  • Simplify. 2x + 7x - (4x + 6)
    5x - 6
  • Factor ax - ay - az.
    a(x - y - z)
  • Simplify. [9 - 2(5 - 4)]
    7
  • Collect like terms. 11x + 2y - 4x - y
    7x + y
  • A game board has 64 squares. If you win 35 squares, how many does your opponent get? (Write an equation that can be used to solve the prob. Do NOT solve.)
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  • Simplify. 8[7 - 6(4 - 2)]
    -40
  • Collect like terms. 2.7x + 2.3y - 1.9x - 1.8y
    0.8x + 0.5y
  • Simplify. (3x + 2y) - (5x - 4y)
    -2x + 6y
  • Multiply. 7(x - 2)
    7x - 14
  • What are the terms in the expression 7x + 8y - 9z?
    7x, 8y, -9z
  • Multiply. 3.1(-1.2x + 3.2y -1.1)
    -3.72x + 9.92y - 3.41
  • Simplify. 15x - y - 5(3x - 2y + 5z)
    9y - 25z
  • Simplify. 2a - (5a - 9)
    -3a + 9
  • Rythos has $48 less than Madinia. Madinia has $115. How much does Rythos have? (Write an equation that can be used to solve the prob. Do NOT solve.)
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  • Collect like terms. 5.5d - 1.2a + 3d + 4.2a
    3a + 8.5d
  • The area of Alaska is about 483 times the area of Rhode Island. The area of Alaska is 1,519,202 square km. What is the area of Rhode Island? (Write an equation that can be used to solve the prob. Do NOT solve.)
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  • 2.7, #13
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  • Rename the additive inverse without parentheses. -(6x - 8y + 5)
    -6x + 8y - 5
  • Simplify. [4(9 - 6) + 11] - [14 - (6 + 4)]
    19
  • Collect like terms. 5y - 3x - 7y
    -3x - 2y
  • Rename the additive inverse without parentheses. -(2x + 7)
    -2x - 7
  • Sound travels at 1087 feet per second. How long does it take the sound of an airplane to reach you when it is 10,000 feet overhead? (Write an equation that can be used to solve the prob. Do NOT solve.)
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  • Simplify. 2x - 4y - 3(7x - 7y)
    -17x + 17y
  • Multiply. -9(-5x - 6y + 8)
    45x +54y - 72
  • Rename the additive inverse without parentheses. -(4a - 3b + 7c)
    -4a + 3b - 7c
  • Multiply. -4(x - 3y - 2z)
    -4x + 12y + 8z
  • A movie theater took in $438.75 from 117 customers. What was the price of a ticket? (Write an equation that can be used to solve the prob. Do NOT solve.)
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  • Factor 8x - 24.
    8(x - 3)
  • Rename the additive inverse without parentheses. -(3x - 5y - 6)
    -3x + 5y + 6
  • The distance from Earth to the sun is about 150,000,000 km. What is about 391 times the distance from Earth to the moon. What is the distance from Earth to the moon? (Write an equation that can be used to solve the prob. Do NOT solve.)
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  • Nita had 25 points on the 2nd quiz. That was 8 more points than she had on the 1st quiz. How many points did she have on the first quiz? (Write an equation that can be used to solve the prob. Do NOT solve.)
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  • Factor 32 - 4y.
    4(8 - y)
  • 2.7, #31
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  • Rename the additive inverse without parentheses. -(-8x - 6y - 43)
    8x + 6y + 43
  • The height of the Eiffel Tower is 295 m, which is about 203 m higher than Statue of Liberty. What is the height of the Statue of Liberty? (Write an equation that can be used to solve the prob. Do NOT solve.)
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  • Factor 8x + 10y - 22.
    2(4x + 5y - 11)
  • Collect like terms. x - 3x
    -2x
  • Rename the additive inverse without parentheses. -(5x - 8)
    -5x + 8
  • The area of Lake Superior is about 4 times the area of Lake Ontario. The area of Lake Superior is 78,114 square km. what is the area of Lake Ontario? (Write an equation that can be used to solve the prob. Do NOT solve.)
    see student answers
  • Simplify. [7(x + 5) - 19] - [4(x - 6) + 10]
    3x + 30
  • Simplify. [10(x + 3) - 4] + [2(x - 1) + 6]
    12x - 22
  • The dryers @ Franklin Laundry cost a quarter for 7 mins. How many quarters will you have to use to dry your clothes for 45 mins? (Write an equation that can be used to solve the prob. Do NOT solve.)
    see student answers
  • 2.7, #11
    2a - 4a + 6
  • What are the terms in the expression 4x + 3z?
    4x, 3z
  • Collect like terms. -8t + p + 4p - t
    5p - 9t
  • Simplify. 5a - 3b - (-6b + 4a) - (-b)
    a + 4b
  • Factor ax - 7a.
    a(x - 7)
  • Collect like terms. 9x + 2y - 5x
    4x + 2y
  • Simplify. 9x - (4x + 3)
    5x - 3
  • 2.7, #51
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  • 2.9, #19 (Write an equation that can be used to solve the prob. Do NOT solve.)
    see student answers
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