Rational Numbers and Expressions Quiz

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Questions and Answers

Which number line shows a point representing the solution of (-2.5) + (-3.5)?

  • Number Line C
  • Number Line D (correct)
  • Number Line B
  • Number Line A

What was the temperature at sunset if the temperature at sunrise was 4°F and it was 20°F warmer at sunset?

16°F

To graph the inequality n < 4, you would plot an open circle above _____ on a number line.

4

To graph the inequality h ≤ -9, you would plot a _____ circle above -9 on a number line.

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

Order the following numbers from greatest to least: 2 3/4, -0.1, -2/3, -1.02, -1.2, -2, -0.6, -0.1, -3/5, -2, 2.75.

<p>2.75, 2 3/4, -0.1, -0.6, -1.02, -1.2, -2, -2/3, -3/5</p> Signup and view all the answers

Identify the constants, variables, coefficients, and terms in the expression y - 2x + 6.

<p>Constants: 6; Variables: x, y; Coefficient: -2; Terms: y, -2x, 6</p> Signup and view all the answers

Evaluate the expression -5a + 10b when a = -5 and b = 8.

<p>105</p> Signup and view all the answers

Evaluate the expression 4a - ¼b + 15 when a = -5 and b = 8.

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

What is the result of -9(7) + (1 + 9) - 25 + 5?

<p>-58</p> Signup and view all the answers

Evaluate the expression 9â‹…[9 - (-1)] + [8(-2)].

<p>74</p> Signup and view all the answers

What is the simplified result of 9(4x - 23) using the Distributive Property?

<p>36x - 207</p> Signup and view all the answers

What is the simplified result of -5(7y - 10) using the Distributive Property?

<p>-35y + 50</p> Signup and view all the answers

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Study Notes

Rational Numbers

  • Add, subtract, multiply, and divide rational numbers
  • Example 1: -5 x 12 = -60
  • Example 2: -77 + (-11) = -88
  • Example 3: -33 + 22 = -55
  • Example 4: -78 + 81 = 3
  • Example 5: 3.7 - (-1.3) = 3.7 + 1.3 = 5
  • Example 6: (-0.5)(-40) = 20
  • Example 7: 2/10 + 4/10 = 0
  • Example 8: (-1/4) * (3/8) + 9/12 = (-3/32) + 9/12 = (-3/32) + 3/4 = (-3/32) + 24/32 = 21/32
  • Solve for the answer to the problem and circle the final answer
  • Show all your work on the paper

Graphing

  • Graphing solutions on a number line
  • Graphing inequalities
  • Ordering rational numbers
  • Identifying parts of an expression (constant, variable, coefficient, term)
  • Evaluating expressions with given values for variables
  • Evaluating expressions using the order of operations
  • Using the distributive property to simplify expressions

Evaluating Expressions

  • Evaluate expressions with given values for variables
  • Evaluate expressions using the order of operations
  • Identify the constant, variable, coefficient, and term
  • Example Problem: Evaluate the expression y - 2x + 6

Using Distributive Property

  • Simplify expressions using the distributive property
  • Example: Simplify the expression 9(4x-23)
  • Answer = 9(4x) - 9(23) = 36x - 207
  • Example: Simplify the expression -5(7y - 10)
  • Answer = -5(7y) - -5(10) = -35y +50

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