PreAlgebra End of Year Review

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Questions to prepare for the End of Year Final Test in PreAlgebra.
Karla Digmann
Flashcards by Karla Digmann, updated more than 1 year ago
Karla Digmann
Created by Karla Digmann over 6 years ago
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Question Answer
Solve 2(-8 - 3x) + 5 = -53 x = 7
How many solutions does the equation -9x + 10 = 12 - 9x have? None
Solve
Draw a reflection of the figure in the y-axis.
Rotate the figure 90° counterclockwise about the origin.
Translate the figure 5 units right and 3 units up.
A square is reflected, rotated, and translated. Is the new image congruent to the original? Yes - reflected, rotated, and translated images are always CONGRUENT. Congruent means that all corresponding side lengths and angles are EQUAL.
Identify the corresponding parts.
In the figure,∆ABC is congruent to ∆XYZ. Write a sequence of transformations in which ∆XYZ is the image of ∆ABC. Reflection over the y-axis and then translate 8 down and 5 right OR Translate 8 up and 5 left and then reflect over the y-axis.
Are the two figures similar? No - side ratios are not equal.
In the figure, ∆ABC is similar to ∆DEF. Write a sequence of transformations in which ∆DEF is the image of ∆ABC. A dilation with respect to the origin using a scale factor of 2 followed by a reflection in the y-axis OR A reflection in the y-axis followed by a dilation with respect to the origin using a scale factor of 2.
Find the value of x. x = 125°
Find the measures of ∠1 and ∠2.
Tell whether the triangles are similar. YES - all 3 angles are equal.
The vertices of a triangle are A(-4, -1), B(0, 5), and C(4, -4). Draw its image after a dilation with respect to the origin using a scale factor of 2.
Plot the solution of the system. y = x + 5 y = 3x - 5 (5, 10)
Find the slope of the line. 1/3
Write in slope-intercept form an equation of the line that passes through the points (-1, 3) and (1, -11). y = -7x - 4
Write an equation of the line in slope-intercept form. y = 1/3x + 1
Graph y = 3x - 4
Graph
The profit y (in dollars) for a company for selling x shirts is represented by y = 12x. Graph the equation. Is this relationship a direct variation? Yes, this is a Direct Variation - Linear with (0, 0)
The graph shows the number of helmets purchased and the total cost. What is the cost per helmet? $13 per helmet
The distance Bus A travels is y = 75x. The graph shows the distance Bus B travels. Which bus is traveling faster? Bus A
The total cost at Arcade A is y = 0.50x + 4. The table shows the total cost at Arcade B. Which has the higher entrance fee? Which has the higher fee per game? Arcade B has the higher entrance fee. Arcade B also has the higher fee per game.
Which table is linear? Table A
Which graph is linear? Both Graphs are linear.
The equation y = 30x + 200 represents the total money y (in dollars) that Kate has in her savings account after x months of saving. What is the slope? What does the slope mean? What is the y-intercept? What does the y-intercept represent? Slope is 30. This means Kate is saving $30 each month. The y-intercept is 200. This represents the amount of money Kate had when she started saving.
Which graph represents a constant increase? Which graph represents a constant decrease? Graph B shows a constant increase. Graph A shows a constant decrease.
Find the length of the hypotenuse. 30 in
Find the distance between (5, -3) and (12, 2). Round your answer to the nearest tenth. 8.6
Tell whether the triangles with the given side lengths is a right triangle. 6 in, 8 in, 10 in YES because 36 + 64 = 100
Find the volume of the cone. Round to the nearest tenth.
Find the volume of the cylinder. Round your answer to the nearest tenth.
Find the volume of the sphere. Round your answer to the nearest tenth.
Find the square root. Write your answer as a fraction.
Find the cube root. Write your answer as a fraction.
Is this a rational number or an irrational number? Irrational Number
Write this decimal as a fraction in simplest form.
Which is greater?
Plot the approximate value of this number.
Write 0.0000876 in scientific notation.
Write the following number in standard form: 0.0000791
Which number has the greatest value?
Find the difference. Give your answer in Scientific Notation.
Find the product. Give your answer in Scientific Notation.
Find the quotient. Give your answer in Scientific Notation.
A calculator display shows the number 4.2E9. Write this number in standard form. 4,200,000,000
Evaluate 248
Make a scatter plot for the data. What type of relationship does the data show? The scatter plot shows a negative linear relationship.
Draw a line of fit using (10, 30) and (25, 60). Write an equation for the line of fit. Predict the value of y when the value of x is 60. The equation is y=2x+10. When x=60, y=130.
Results from a survey are shown below. Complete a two-way table that includes the marginal frequencies.
Find the percent of middle school and high school students that prefer each soda.
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