Algebra Midyear Test What to Know

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1 Algebra Midyear Test What to Know All topics and problems are for BOTH Algebra 8 and Algebra 8R students unless otherwise noted. Thinking with Mathematical Models Make a table and a graph to represent real life data Use data patterns to make predictions Draw a line of best fit given a set of data Write an equation for a best fit line Use a mathematical model to answer questions about real life linear relationships Solve multi step linear equations Write a linear equation given a graph, table, or two points using algebraic methods Graph and make a table of a linear equation Given a table, determine whether a relationship is linear or not. Given a scatterplot, draw a line of best fit Write an equation to model data from a line of best fit Analyze and interpret two-way data tables Calculate relative frequencies from two-way data tables Growing, Growing, Growing Create a table and a graph of an exponential growth or decay relationship given a description or equation Write an exponential growth or decay equation given a graph, table, or two points Write expressions in exponential, expanded, and standard form Write numbers in scientific notation and standard form Perform operations with scientific notation Write an exponential equation with a y-intercept other than 1 Identify whether a table is linear, exponential, or neither based on a table, graph or equation Write the equation of a linear or exponential relationship given a table, graph, or equation Estimate when an exponential relationship will reach a certain number Calculate a growth or decay factor from a table, graph, or two points Calculate a growth or decay factor given a rate Calculate a growth or decay rate given a factor Simplify monomial expressions either by expanding or using the laws of exponents It s In The System Write a linear equation in standard form given a description of a situation Go from standard form to slope intercept form and back again Identify slope, x-intercept, and y-intercept from equations in standard form and slope intercept form

2 Graph a linear equation in standard form and slope intercept form Solve a system of linear equations by graphing and finding the point of intersection Algebra 8R Only Thinking With Mathematical Models Write an inverse equation given a table, graph, or two points Use an inverse relationship to model a real life situation Compare and contrast linear relationships with inverse relationships Given a table, determine whether a relationship is linear, inverse, or neither Growing, Growing, Growing Identify whether a table is linear, inverse, exponential, or neither based on a table, graph or equation Simplify monomial expressions that contain fractional exponents It s In The System Write a system of equations given a description of a situation Solve a system of linear equations by using equivalent forms, substitution, or combination/elimination Solve a linear inequality in one variable and graph your solution on a number line

7 Write the equation in slope-intercept form. Write any coefficients as integers, proper fractions, or improper fractions in simplest form. Write the equation in slope-intercept form. Write any coefficients as integers, proper fractions, or improper fractions in simplest form.

17 -1

20 Simplify the following expression and express your answer in proper scientific notation form. 71. ( ' )( * ) 72. (2.4 10,- )(3.0 10,* ) 73. ( ' ) ( ) 74. ( * ) (6.0 10,' )

21 x + 5 = 6 7 y

The following table shows survey results for the frequency of favorite sport to watch on television.

24 92. The following table shows the frequency of clothing color worn by surveyed people. a) How many people were surveyed wearing yellow? b) Of those surveyed wearing yellow, what percentage of people had blue eyes? 93. The following table shows survey results for the frequency of favorite sport to watch on television. a) True or False: Females are three times as likely to choose baseball as men. b) Suppose a larger group of 300 people were surveyed next. According to the results on this table, how many people could we expect to choose football?

94. The following table shows the frequency of ice cream flavor chosen by surveyed people. True or False: Over 50% of the children surveyed chose chocolate. 95.

25 94. The following table shows the frequency of ice cream flavor chosen by surveyed people. True or False: Over 50% of the children surveyed chose chocolate. 95. The circle graph shows the results of a survey in which people were asked, What is your favorite fruit? The angle of 68 represents 277 people who said their favorite fruit is oranges. Find the approximate sample size.

26 **8R only this point forward. (Algebra 8, you will see most of this on your final!)

29 Simplify the following. All final answers must contain positive exponents (81x : ) ; < 115. h B < g h? < 116. (25x ' y D )? < 117. E 6-:F? G B ; I B -F < G H

ANSWER KEY Algebra Midyear Test What to Know

ANSWER KEY Algebra Midyear Test What to Know All topics and problems are for BOTH Algebra 8 and Algebra 8R students unless otherwise noted. Thinking with Mathematical Models Make a table and a graph to