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Questions and Answers
Which number line shows a point representing the solution of (-2.5) + (-3.5)?
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.
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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.
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Identify the constants, variables, coefficients, and terms in the expression y - 2x + 6.
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Evaluate the expression -5a + 10b when a = -5 and b = 8.
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Evaluate the expression 4a - ¼b + 15 when a = -5 and b = 8.
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What is the result of -9(7) + (1 + 9) - 25 + 5?
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Evaluate the expression 9⋅[9 - (-1)] + [8(-2)].
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What is the simplified result of 9(4x - 23) using the Distributive Property?
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What is the simplified result of -5(7y - 10) using the Distributive Property?
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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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Description
This quiz focuses on the operations of rational numbers including addition, subtraction, multiplication, and division. It also covers graphing solutions, evaluating expressions, and applying the order of operations. Be sure to show your work clearly for full credit.
