Podcast
Questions and Answers
Which number line shows a point representing the solution of (-2.5) + (-3.5)?
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?
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.
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.
To graph the inequality h ≤ -9, you would plot a _____ circle above -9 on a number line.
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.
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.
Identify the constants, variables, coefficients, and terms in the expression y - 2x + 6.
Identify the constants, variables, coefficients, and terms in the expression y - 2x + 6.
Evaluate the expression -5a + 10b when a = -5 and b = 8.
Evaluate the expression -5a + 10b when a = -5 and b = 8.
Evaluate the expression 4a - ¼b + 15 when a = -5 and b = 8.
Evaluate the expression 4a - ¼b + 15 when a = -5 and b = 8.
What is the result of -9(7) + (1 + 9) - 25 + 5?
What is the result of -9(7) + (1 + 9) - 25 + 5?
Evaluate the expression 9â‹…[9 - (-1)] + [8(-2)].
Evaluate the expression 9â‹…[9 - (-1)] + [8(-2)].
What is the simplified result of 9(4x - 23) using the Distributive Property?
What is the simplified result of 9(4x - 23) using the Distributive Property?
What is the simplified result of -5(7y - 10) using the Distributive Property?
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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