Podcast
Questions and Answers
Solve for x.
76 = 10x - 44
Solve for x. 76 = 10x - 44
12
Solve for z.
-20 = 1/10 z - 22
Solve for z. -20 = 1/10 z - 22
-20
Which inequality is true when the value of y is -3?
Which inequality is true when the value of y is -3?
- *y* - 6 > 4.5
- -*y* - 6 < 4.5
- -*y* - 6 < -4.5 (correct)
- -*y* - 6 > 4.5
Which value of x satisfies the equation 1/2(x) - 3/2 = 3/2?
Which value of x satisfies the equation 1/2(x) - 3/2 = 3/2?
Which value of x satisfies the equation 4/3(x + 2) + 2/3 = -6?
Which value of x satisfies the equation 4/3(x + 2) + 2/3 = -6?
Solve the inequality and graph the solution on the line provided.
-16 +4x ≥ 4
Solve the inequality and graph the solution on the line provided. -16 +4x ≥ 4
Solve the inequality and graph the solution on the line provided.
7x + 3 > 31
Solve the inequality and graph the solution on the line provided. 7x + 3 > 31
Graph the line with the equation y = -3x + 3
Graph the line with the equation y = -3x + 3
Put the following equation of a line into slope-intercept form, simplifying all fractions.
3x - 9y = 54
Put the following equation of a line into slope-intercept form, simplifying all fractions. 3x - 9y = 54
Put the following equation of a line into slope-intercept form, simplifying all fractions.
4y - 3x = - 8
Put the following equation of a line into slope-intercept form, simplifying all fractions. 4y - 3x = - 8
Put the following equation of a line into slope-intercept form, simplifying all fractions.
9x + 3y = -21
Put the following equation of a line into slope-intercept form, simplifying all fractions. 9x + 3y = -21
During a snowstorm, snow fell at a constant rate for a number of hours. Then it stopped snowing for a number of hours. Then it started up again at a different constant rate. Brianna made a graph showing the inches of snow on the ground over time using the data that she collected.
At what rate was the snow falling during the second snowfall?
During a snowstorm, snow fell at a constant rate for a number of hours. Then it stopped snowing for a number of hours. Then it started up again at a different constant rate. Brianna made a graph showing the inches of snow on the ground over time using the data that she collected. At what rate was the snow falling during the second snowfall?
The graph of a function is shown below. What is true about the function between x = -9 and x = -6?
The graph of a function is shown below. What is true about the function between x = -9 and x = -6?
Starting at noon, Alonso observed the amount of snow on his lawn during a blizzard. He created a graph to represent how many inches of snow were on the lawn at x minutes past noon. What is the meaning of the y-value when x = 60?
Starting at noon, Alonso observed the amount of snow on his lawn during a blizzard. He created a graph to represent how many inches of snow were on the lawn at x minutes past noon. What is the meaning of the y-value when x = 60?
Solve the following system of equations graphically on the set of axes below and state the coordinates of the solution.
1/2 y = -1/2 x + 7
y = x + 4
Solve the following system of equations graphically on the set of axes below and state the coordinates of the solution. 1/2 y = -1/2 x + 7 y = x + 4
Solve the following system of inequalities graphically on the set of axes below. State the coordinates of a point in the solution set.
y ≥ 1/5 x - 1
y ≤ x + 5
Solve the following system of inequalities graphically on the set of axes below. State the coordinates of a point in the solution set. y ≥ 1/5 x - 1 y ≤ x + 5
Solve the following system of inequalities graphically on the set of axes below. State the coordinates of a point in the solution set.
y < -1/2 x - 2
y > 2x - 7
Solve the following system of inequalities graphically on the set of axes below. State the coordinates of a point in the solution set. y < -1/2 x - 2 y > 2x - 7
Fill in the blanks below in order to justify whether or not the mapping shown represents a function.
The mapping diagram above ______ a function since ______ in ______ has ______.
Fill in the blanks below in order to justify whether or not the mapping shown represents a function. The mapping diagram above ______ a function since ______ in ______ has ______.
Which set of ordered pairs does not represent a function?
Which set of ordered pairs does not represent a function?
Determine whether the following graph represents a function.
Determine whether the following graph represents a function.
Given h(x) = 4x - 4, find h(4).
Given h(x) = 4x - 4, find h(4).
Given f(x) = 2x² - 10x + 4, find f(3).
Given f(x) = 2x² - 10x + 4, find f(3).
Find the range of the function defined by the table below. Express your answer as a set of numbers.
Find the range of the function defined by the table below. Express your answer as a set of numbers.
Determine the range of the following graph.
Determine the range of the following graph.
Combine like terms.
-4 - 6x³ + 3y² + 3 + 2x³ + 2 - x³ – 5y²
Combine like terms. -4 - 6x³ + 3y² + 3 + 2x³ + 2 - x³ – 5y²
Combine like terms.
6y³ - 7x² + 4 + 4x² - 1 - 5y³ + x²
Combine like terms. 6y³ - 7x² + 4 + 4x² - 1 - 5y³ + x²
Answer the questions about the following polynomial.
5x³ - 1
The expression represents a ______ polynomial with ______ terms. The constant term is ______, the leading term is ______, and the leading coefficient is ______.
Answer the questions about the following polynomial. 5x³ - 1 The expression represents a ______ polynomial with ______ terms. The constant term is ______, the leading term is ______, and the leading coefficient is ______.
Answer the questions about the following polynomial.
x - 1/9
The expression represents a ______ polynomial with ______ terms. The constant term is ______, the leading term is ______, and the leading coefficient is ______.
Answer the questions about the following polynomial. x - 1/9
The expression represents a ______ polynomial with ______ terms. The constant term is ______, the leading term is ______, and the leading coefficient is ______.
Perform the operation.
(5x² + 10x - 4) - (-7x² + 10)
Perform the operation. (5x² + 10x - 4) - (-7x² + 10)
Perform the operation.
( 3x + 9) + ( 3x² - x + 6)
Perform the operation. ( 3x + 9) + ( 3x² - x + 6)
Perform the operation.
(-x² + 2x + 3) - (-8x + 7)
Perform the operation. (-x² + 2x + 3) - (-8x + 7)
Determine the domain of the following graph.
Determine the domain of the following graph.
Determine the domain on which the following function is decreasing.
Determine the domain on which the following function is decreasing.
The graph of y = f(x) is shown below. Find all values of x for which f(x) < 0.
The graph of y = f(x) is shown below. Find all values of x for which f(x) < 0.
Graph the following features:
• Y-intercept = 1
• Slope = -2
Graph the following features: • Y-intercept = 1 • Slope = -2
Below are two inequalities and the graphs of their lines without the shading. By imagining where the shading should be, identify which point would satisfy BOTH inequalities.
y < 1/6 x + 1
y > x + 1
Below are two inequalities and the graphs of their lines without the shading. By imagining where the shading should be, identify which point would satisfy BOTH inequalities.
y < 1/6 x + 1
y > x + 1
Below are two inequalities and the graphs of their lines without the shading. By imagining where the shading should be, identify which point would satisfy BOTH inequalities.
y < -x + 5
y > 5x - 3
Below are two inequalities and the graphs of their lines without the shading. By imagining where the shading should be, identify which point would satisfy BOTH inequalities. y < -x + 5 y > 5x - 3
Express in simplest radical form: √48
Express in simplest radical form: √48
Express in simplest radical form.
-7√54 + 3√150
Express in simplest radical form. -7√54 + 3√150
Express in simplest radical form.
7√6 - √6
Express in simplest radical form. 7√6 - √6
Expand the expression to a polynomial in standard form.
(x - 9)(2x² - x + 3)
Expand the expression to a polynomial in standard form. (x - 9)(2x² - x + 3)
Expand the expression to a polynomial in standard form.
( 4x - 3)(x² - 2x - 8 )
Expand the expression to a polynomial in standard form. ( 4x - 3)(x² - 2x - 8 )
Flashcards
Question 1
Question 1
Unknown mathematical problem related to numbers in a list
Question 5
Question 5
Unknown mathematical problem related to numbers in a list
Question 6
Question 6
Unknown mathematical problem related to numbers in a list
Question 2
Question 2
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Question 7
Question 7
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Question 3
Question 3
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Question 8
Question 8
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Question 4
Question 4
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Question 9
Question 9
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Question 10
Question 10
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Question 11
Question 11
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Question 12
Question 12
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Question 13
Question 13
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Question 14
Question 14
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Question 15
Question 15
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Question 16
Question 16
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Question 32
Question 32
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Study Notes
Algebra Problems
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Solve for x: 76 = 10x - 44 (Answer: x = 12).
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Solve for z: -20 = z/10 - 22 (Answer: z = -20)
-
Inequality when w = 8: Which inequality is true when w = 8?
- A. w - 6 > 4.5 → 8 - 6 > 4.5 → 2 > 4.5 (False)
- B. w - 6 < 4.5 → 8 - 6 < 4.5 → 2 < 4.5 (True)
- C. -w - 6 > -4.5 (Not applicable given w = 8)
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Inequality when y is -3: Which inequality is true when y is -3?
- A. -y - 6 < 4.5 → -(-3) - 6 < 4.5 → 3 - 6 < 4.5 → -3 < 4.5 (True)
- B. -y - 6 < -4.5 → -(-3) - 6 < -4.5 → 3 - 6 < -4.5 → -3 < -4.5 (False)
- C. y - 6 > 4.5 → -3 - 6 > 4.5 → -9 > 4.5 (False)
- D. -y - 6 > 4.5 → -(-3) - 6 > 4.5 → 3 - 6 > 4.5 → -3 > 4.5 (False)
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Inequality when t is -12: Which inequality is true when t = -12?
- A. t +1.5 < -8 → -12 + 1.5 < -8 → -10.5 < -8 (True)
- B. t +1.5 > -8 → -12 + 1.5 > -8 → -10.5 > -8 (False)
- C. t +1.5 < 8 → -12 + 1.5 < 8 → -10.5 < 8 (True)
- D. t + 1.5 > 8 → -12 + 1.5 > 8 → -10.5 > 8 (False)
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Solve for x: 4/5(x+2)=-6 (Answer: x = -8)
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Solve Inequality: -16 + 4x ≥ 4
- (Answer: x ≥ 5).
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Graph Inequalities Solve and graph inequalities using these steps:
- Isolate the variable
- Determine the direction of the inequality symbol
- Graph your solution labeling your points.
Other Math Problems
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Slope Intercept Form: Convert equations to slope-intercept form (y = mx + b).
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Graphing Lines: Graph linear equations on coordinate planes.
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Simultaneous Equations: Find solutions to systems of equations graphically.
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Inequalities: Graph systems of inequalities, finding points that satisfy both inequalities by shading appropriately.
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Snowfall Rate: If snow fell at a constant rate for hours and then changed rates, determining the rate of the second snowfall by analyzing a graph. (e.g. 2 inches every 3 hours).
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Function Behavior: Understanding increasing and decreasing intervals from graph information/ data).
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Domain of a Graph: Determining the x-values for which a function is defined on a graph.
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Function Values: Evaluating functions at specific input values.
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Combining Like Terms: Combine constant, variables and exponents to simplify expressions.
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Polynomial Terminology: Polynomials are expressions with multiple terms consisting of variables raised to powers and constants. There are different types (quadratic, cubic, etc.) and components (constants, leading term).
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Simplifying Radicals: Simplify radical expressions.
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Description
Test your knowledge of solving equations and inequalities in this algebra quiz. You'll tackle problems involving finding values for variables like x, z, w, y, and t. Get ready to identify true inequalities and solve for unknowns!