Name__________________________________________



Name: _______________________________________ Date: _________________ Period: ________

Complete each of the following examples on a separate sheet of paper or the indicated graph paper (*GP). This packet, along with ALL of your work, is DUE AND COLLECTED on the day of your midterm exam.

Each unit’s problems will be due on a specific date. If you do not complete the work by this date stated in class, we cannot guarantee your question(s) on that topic can be revisited at another time.

On the day of your midterm exam you should bring the following items with you:

• TWO pencils

• An eraser

• The review packet with your work, neatly organized and stapled.

• Graphing Calculator

Unit 1 Material

➢ 1.4: The Distributive Property (pgs. 25-31)

Additional review problems: p29-30/36, 37, 47

Simplify:

1) [pic] 2) [pic] 3) [pic]

➢ 1.5: Equations (pgs. 33-39)

Additional review problems: p36/3, 15, 25, 26, 27, 40

Solve:

4) [pic] 5) [pic] 6) [pic]

7) [pic] 8) [pic]

➢ 1.7: Functions (pgs. 47-54)

Additional review problems: p51-52/5-8, 24, 25, 33, 35, 36

Determine whether each graph represents a function.

9) 10) 11)

12) 13)

Given: [pic] and [pic] find each of the following:

14) [pic] 15) [pic] 16) [pic] 17) [pic]

➢ 1.6: Relations/1.7: Functions (pgs. 40-46)

Additional review problems: p43/9, 11, 13

(a) Express each relation given as a table, a graph, and a mapping. *GP

(b) Identify the domain and range.

(c) Then determine if the relation is a function. Explain your reasoning.

18) [pic] 19) [pic]

20) [pic]

➢ 1.8: Interpreting Graphs of Functions (pgs. 56-61)

Additional review problems: p59/2, 3, 5, 6

Use your graphing calculator to determine whether each function is increasing or decreasing, its end behavior, and the domain and range.

21) [pic] 22) [pic] 23) [pic]

➢ 2.4: Solving Equations with the Variable on Each Side (pgs. 97-102)

Additional review problems: p100/21, 32, 26, 6, 27

Solve:

24) [pic] 25) [pic] 26) [pic]

➢ 2.8: Literal Equations (pgs. 126-131)

Additional review problems: p129/8-10

Solve for the indicated variable.

27) [pic] 28) [pic] 29) [pic]

➢ 5.3: Solving Multi-Step Inequalities (pgs. 298-303)

Additional review problems: p300-301/3, 5, 6, 12, 13, 20, 21

Solve each inequality. Write your answer in interval notation.

30) [pic] 31) [pic] 32) [pic]

Unit 2 Material

➢ 3.1: Graphing Linear Equations (pgs. 155-162)

Additional review problems: p159-161/13, 15, 19, 21, 51, 53

Graph each equation and identify the x- and y- intercepts and the intervals where the function is positive and negative. *GP

33) [pic] 34) [pic] 35) [pic]

State the x- and y- intercept for each graph below.

36) 37) 38)

Determine whether each function represents a linear function.

39) [pic] 40) [pic] 41) [pic] 42) [pic]

43) [pic] 44) [pic] 45) [pic]

Determine whether each linear function is written in standard form or not.

46) [pic] 47) [pic] 48) [pic] 49) [pic]

Identify whether the equation has a graph that is a vertical line, horizontal line, positive slope, or negative slope. DO NOT GRAPH!

50) [pic] 51) [pic] 52) [pic] 53) [pic]

54) [pic] 55) [pic] 56) [pic] 57) [pic]

➢ 3.3: Rate of Change and Slope (pgs. 172-180)

Additional review problems: p177-178/7, 9, 11, 27, 31, 33

Find the slope of the line that passes through each set of points. Then identify if the line that passes through the two points is increasing, decreasing, or constant.

58) [pic] 59) [pic] 60) [pic]

61) [pic] 62) [pic] 63) [pic]

Identify the rate of change and the y-intercept for each table.

64) 65) 66)

➢ 4.2/4.3: Writing Equations in Slope-Intercept Form (pgs. 226-232) & Point-Slope Form (pgs. 233-238)

Additional review problems: p158-160/1, 2, 17; p219-221/1, 3, 11, 33; p236/11, 13

Write each equation in slope-intercept form.

67) [pic] 68) [pic] 69) [pic]

Write each equation in slope-intercept form with the given slope that passes through the given point.

70) [pic] 71) [pic]

Write the equation of the line that passes through the point and has the slope in point-slope form. Then write it in slope-intercept form.

72) [pic] 73) [pic] 74) [pic]

Graph each equation. *GP

75) [pic] 76) [pic] 77) [pic]

Write the equation of each graph below.

78) 79) 80)

➢ Graphing Miscellaneous

Use the graph to determine whether the ordered pair is a solution of the equation [pic].

81) [pic]

82) [pic]

83) [pic]

84) [pic]

85) [pic]

➢ 3.4: Direct Variation (pgs. 182-188)

Additional review problems: p177-178/7, 9, 11, 27, 31, 33

Write a direct variation equation that relates x to y. Then find the new indicated value.

86) If [pic] when [pic], find y when [pic]. 87) If [pic] when [pic], find x when [pic].

➢ 3.5: Arithmetic Sequences as Linear Functions (pgs. 189-195)

Additional review problems: p177-178/7, 9, 11, 27, 31, 33

Write an equation for the nth term in the sequence. Then find the value of the 333rd term.

**Use the formula[pic].**

88) [pic] 89) [pic] 90) [pic]

➢ 5.6: Graphing Inequalities in Two Variables (pgs. 317-322)

Additional review problems: p321/41, 42, 43

Which ordered pairs are solutions for the inequality [pic]?

91) [pic] 92) [pic] 93) [pic]

Unit 3 Material

➢ 4.4: Parallel and Perpendicular Lines (pgs. 239-245)

Additional review problems: p243/11, 13, 23, 25

For each equation, state the slope of the line (a) parallel to the equation and (b) perpendicular to the equation.

94) [pic] 95) [pic] 96) [pic] 97) [pic]

Write all equations in point-slope form.

98) Write the equation of a line perpendicular to [pic] that passes through the point [pic].

99) Write the equation of a line parallel to [pic] that passes through the point [pic].

100) Write the equation of a line perpendicular to [pic] that passes through the point [pic].

➢ 6.1 – 6.4: Solving Systems of Equations (pgs. 335-357)

Additional review problems: p379-380/13, 19, 23, 39

Solve each system of equations using the best method.

101) [pic] 102) [pic] 103) [pic] 104) [pic]

➢ 6.1/6.5: Graphing Systems of Equations (pgs. 372-376)

Use your graphing calculator to solve each system of equations. Then classify the system.

105) [pic] 106) [pic] 107) [pic]

Define variables and write a system to solve the following word problems.

108)

The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter the fair and $5050 is collected. How many children and how many adults attended?

109)

A landscaping company placed two orders with a nursery. The first order was for 13 bushes and 4 trees, and totaled $487. The second order was for 6 bushes and 2 trees, and totaled $232. What were the costs of one bush and of one tree?

➢ 6.6: Graphing Systems of Inequalities in Two Variables (pgs. 372-376)

Graph each system of inequalities. *GP

110) [pic] 111) [pic] 112) [pic]

Unit 4 Material

➢ 7.1 – 7.2: Properties of Exponents (pgs. 391-405)

Additional review problems: p395-380/27, 29, 32, 34 and p403/19, 21, 23, 24

Simplify and classify the following by degree.

113) [pic] 114) [pic] 115) [pic] 116) [pic]

117) [pic] 118) [pic] 119) [pic] 120) [pic]

Simplify.

121) [pic] 122) [pic] 123) [pic]

➢ 7.3: Exponential Equations (pgs. 409-411)

Additional review problems: p411/45, 51, 52, 55

Solve each equation.

124) [pic] 125) [pic] 126) [pic] 127) [pic]

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