Algebra 1 Midterm Name

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1 Algebra 1 Midterm Name Stud Guide Date: Period: THIS REVIEW WILL BE COLLECTED JANUARY 4 th or Januar 7 th. One problem each page will be graded! You ma not turn this eam review in after the due date! Evaluate the epression for the given values of the variables. 1) 3 n when n = 4 ) 8 + 5a when a = 7 3) 3a 7 when a = -4 4) n + m when m = - and n = -3 Evaluate. 5) 6) 7) 8) 9) 10) 11) 1) Check whether the given number is a solution of the equation or inequalit: ; 5 Tell whether the pairing is a function. 13) 14) Input Output Input Output ) Write the verbal sentence as an equation or an inequalit: Five is less than a number divided b 7. 16) Write an equation or inequalit to model the situation: The perimeter P of a square is less than or equal to four times the difference of a number n and 5. 1

2 Simplif. 17) 18) 19) 0) Solve the equation. 1) ) 3) 4) 5) 6) 6 9 = ) 4 1 = ( + 3) 8) ( ) 9) 4(- ) + 6 = (7 = 4) 30) Identif the propert being illustrated: = 0 31) Which statement illustrates the Commutative Propert of Multiplication? i( ) i 3i( 4i) = ( 3i4) i i( i ) = ( i ) i ( i ) ( i ) A) 3 4+ = i B) C) D) 3+ 4 = ) Members of a local gm pa a earl fee of $150 and $ per da to use the volleball courts. Write a function of the cost in terms of the number of das ou use the volleball courts. 33) Rewrite the equation so that is a function of.

3 34) Decide whether the given ordered pair is a solution of the equation. 35) Find the -intercept. 36) Find the -intercept. 37) Find the slope of the line passing through the points. 38) Find the value of so that the line passing through the two points has the given slope. 39) Find the slope and the -intercept of the graph = 0. 40) In 1999, a software compan had a profit of $30,000,000. In 005, the compan had a profit of $10,000,000. Find the average rate of change of the compan's profit in dollars per ear. 41) The variables and var directl. Use the given values to write an equation that relates and. For questions 4 45: State whether the equation is a direct variation. If so, state the constant of variation. 4) = 4 43) 3 4 = 0 44) - + = 4 45) + 4 = ) Each month, Laura s cell phone charges c var directl with the number of minutes m that she talks. Last month, she talked 450 minutes and was charged $ a) Write a direct variation equation that relates c and m. b) How much would Laura pa if she talked 300 minutes? 3

4 Graph the equations. 47) 6 4 = 8 48) = 1 49) = ) 51) 5( + 1) = 10 5) = 1 53) = + 3 for the domain > 3 54) - = 4 for the domain ) Range: 54) Range: 4

5 55) Decide whether the graphs of the two functions are parallel lines. 56) Write a rule for the function of the values in the table below? Input, Output, ) A music store sells CDs for $1.99 each. a. Write a rule for the cost of CDs as a function of the number of CDs purchased. b. Let the domain equal 0, 1,, and 3. Make a table and identif the range. 58) Mrs. Fo loves basketball and was able to get the season NBA Pass for $140 per ear and $3.50 for each game she watches on tv. Write the function that relates the variables. 59) Which equation is an identit? Which has no solutions? 60) Write as a function of. 61) State the - and -intercepts of the line with the equation = ) Determine the slope of the line graphed below. 63) Find the slope of the line that contains (, 4) and 64) Find the slope of the line through the points ( 1, 3) and ( 1, 7). 5

6 65) On Januar 1, Mario had a savings account balance of $74 and b April 1, his balance had increased to $3597. Find Mario's average savings rate in dollars per month for that period. 66) Rewrite the equation in slope-intercept form. 67) Find the slope and -intercept of the line with the equation. 68) Determine if the line is parallel to the line. 69) In the equation =, does var directl with? 70) True or False: The graphs of direct variation equations alwas contain the point (0, 0). 71) Let Find when 7) What is the value of the function when?. 73) Find the value of so that. Write the equation of the line that passes through the points in slope-intercept form AND standard form. 74) (4, -3) and (, - ) 75) (0, 5) and (-3, -1) 76) (5, 9) and (6, 4) 6

7 77) Write the equation of the line that passes through (7, -8) with a slope of ) Write the equation of the line that passes through the point (1, 7) and is parallel to the line -6 + = ) Write the equation of the line that passes through the point (-, -4) and is perpendicular to the line = ) For the given data set -, 8, 1, -7, 10, 3 find: Round to 3 significant figures if necessar. a. the mean b. the MAD score c. the variance d. standard deviation 7

8 81) You scored an 8 on our statistics test. The mean for the class was 85 and the standard deviation was 3.4. a. Calculate our z-score. b. Mark where our z-score falls on a bell curve. c. Within how man deviations of the mean is our score? 8) You took a test and earned a z-score of.5. The mean for the test was 79 and the standard deviation was 6. What was our raw score? 83) The following numbers represent the number of stories in the world s 10 tallest buildings: 140, 88, 88, 108, 88, 88, 80, 69, 10 and 78. a) Find the mean: b) median: c) mode: d) Make a bo-and-whisker plot of the data. Identif an outlier. 8