Algebra 1 Review Test Flashcards
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Questions and Answers

What is the expression for 3 + 8x + 11 simplified?

8x + 14

What is the simplified form of 3(72x)?

216x

What is the result of (-3 + 5) + (-2)?

0

What is the result of -2 + (-3) + (-7)?

<p>-12</p> Signup and view all the answers

What is the result of -14 + 2 + (-9) + 25?

<p>4</p> Signup and view all the answers

What do you get when calculating 83 + (-34) + (-62)?

<p>-13</p> Signup and view all the answers

What is the result of 27 - 217?

<p>-190</p> Signup and view all the answers

What is the result of 17 - (-13)?

<p>30</p> Signup and view all the answers

What is 112 - (53 - 8) equal to?

<p>67</p> Signup and view all the answers

What is (26 - 35) - (-13)?

<p>4</p> Signup and view all the answers

What is (104 - 96) - (-8)?

<p>16</p> Signup and view all the answers

What is 75 - (-15) + (-30) - 20?

<p>40</p> Signup and view all the answers

What is the simplified form of 7a + (-8) + 5?

<p>7a - 3</p> Signup and view all the answers

What is the simplified result of -4 + (-2x) + 6?

<p>2 - 2x</p> Signup and view all the answers

What is 24(1/3 + 1/8) equal to?

<p>11</p> Signup and view all the answers

What does 15(1/1/5) equal?

<p>3</p> Signup and view all the answers

What is the result of 6a + 5a?

<p>11a</p> Signup and view all the answers

What is 18t - (-6)t equal to?

<p>24t</p> Signup and view all the answers

What is the simplified expression for 3(x + 2) + 8(x - 3) - 6x?

<p>5x - 18</p> Signup and view all the answers

What is the expression for 4(2x + 3y) + 2(4 - x - 3y) + 2 simplified?

Signup and view all the answers

If the sum of two consecutive integers is 53, what are they?

<p>26 and 27</p> Signup and view all the answers

If the sum of three consecutive integers is 81, what are they?

<p>26, 27, and 28</p> Signup and view all the answers

What is 1/4(-36)?

<p>-9</p> Signup and view all the answers

What is -1/7(-35) equal to?

<p>5</p> Signup and view all the answers

What is (-63a) ÷ (-9)?

<p>7a</p> Signup and view all the answers

(85c) ÷ (-5) results in?

<p>-17c</p> Signup and view all the answers

What is 143a ÷ (-13)?

<p>-11a</p> Signup and view all the answers

What does -355x ÷ 5x equal to, assuming x ≠ 0?

<p>{-71, x ≠ 0}</p> Signup and view all the answers

What is the average of 22, -8, -23, -7?

<p>-4</p> Signup and view all the answers

What is the average of 21, -13, -18, 34?

<p>6</p> Signup and view all the answers

Study Notes

Simplifying Expressions

  • The expression (3 + 8x + 11) simplifies to (8x + 14).
  • The expression (3(72x)) calculates to (216x).

Evaluating Expressions

  • Evaluating ((-3 + 5) + (-2)) results in (0).
  • The sum (-2 + (-3) + (-7)) equals (-12).
  • The computation (-14 + 2 + (-9) + 25) simplifies to (4).
  • The evaluation of (83 + (-34) + (-62)) gives (-13).
  • The expression (27 - 217) results in (-190).
  • Evaluating (17 - (-13)) yields (30).
  • The calculation (112 - (53 - 8)) results in (67).
  • The expression ((26 - 35) - (-13)) simplifies to (4).
  • The evaluation of ((104 - 96) - (-8)) gives (16).
  • The expression (75 - (-15) + (-30) - 20) simplifies to (40).

Combining Like Terms

  • The expression (7a + (-8) + 5) simplifies to (7a - 3).
  • The expression (-4 + (-2x) + 6) combines to (2 - 2x).
  • The computation (6a + 5a) results in (11a).
  • The expression (18t - (-6)t) simplifies to (24t).
  • Evaluating (3(x + 2) + 8(x - 3) - 6x) gives (5x - 18).

Solving Equations

  • For consecutive integers summing to (53):
    • Let (x) be the first integer. The second integer is (x + 1).
    • Set the equation (x + (x + 1) = 53). Solving gives the integers (26) and (27).
  • For three consecutive integers summing to (81):
    • Set (81 = 3x + 3). Solving the equation gives consecutive integers (26), (27), and (28).

Evaluating Fractions

  • The calculation (\frac{1}{4}(-36)) results in (-9).
  • Evaluating (-\frac{1}{7}(-35)) yields (5).
  • The expression ((-63a) \div (-9)) simplifies to (7a).
  • The computation ((85c) \div (-5)) gives (-17c).
  • The expression (\frac{143a}{-13}) simplifies to (-11a).
  • Evaluating (-\frac{355x}{5x}) results in (-71x^2) for (x \neq 0).

Calculating Averages

  • The average of the numbers (22), (-8), (-23), and (-7) is (-4).
  • For the numbers (21), (-13), (-18), and (34), the average is (6).

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Prepare for your Algebra 1 test with these helpful flashcards. Each card presents an algebraic expression followed by the correct evaluation or simplified form. Use these flashcards to reinforce your understanding of algebraic concepts and improve your problem-solving skills.

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