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Final Review Packet Directions: Solve the following equations. 1) 2 ( 47) +5 ( 4+7 ) =¿ 2) 3 ( x+ 4 )4 2 =11 3) 7 2 ( 2 x12 ) =3 ( 4 x+ 7) 4) 121+3 2 ( 4 x3 )=− 81 x Directions: Order the following numbers from least to greatest. Then label the numbers as whole numbers, integers, rational numbers, or irrational numbers. 5) π, 3.10 ,8 ,81 10 , 0 Directions: Solve the following word problems. 6) Bob would like to buy some toys to donate to charity. He plans to buy 10 trucks at d dollars each, 5 train sets at cdollars each, and 2 toy ovens at m dollars each. Which expression represents the total cost, in dollars, of these items that Bob wants to buy? a) 10 d+ 5 c +2 m

Transcript of   · Web viewSolve the following word problems. 6) Bob would like to buy some toys to donate to...

Page 1:   · Web viewSolve the following word problems. 6) Bob would like to buy some toys to donate to charity. He plans to buy 10 trucks at . d dollars each, 5 train sets at c dollars

Final Review Packet

Directions: Solve the following equations.

1) −2 (4−7 )+5 (4+7 )=¿ 2) 3 ( x+4 )−42=11

3) 72−(2 x−12 )=3 (4 x+7 ) 4) √121+32 (4 x−3 )=−√81x

Directions: Order the following numbers from least to greatest. Then label the numbers as whole numbers, integers, rational numbers, or irrational numbers.

5) π ,3.10 ,−8 ,−8110,0

Directions: Solve the following word problems.

6) Bob would like to buy some toys to donate to charity. He plans to buy 10 trucks at d dollars each, 5 train sets at cdollars each, and 2 toy ovens at m dollars each. Which expression represents the total cost, in dollars, of these items that Bob wants to buy?

a) 10d+5c+2m

b) 10d−5c−2m

c) 10c+5m+2d

d) 10c−5m−2d

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Directions: Name the property shown.

7) 12+(14+15 )=(12+14 )+15

8) 34+65=65+34

9) 17×7=1

10) 67+0=67

Directions: Tell whether each is a function or not. Explain your answer.

11) Input Output

4 5

5 8

12 8

11

Directions: Write a rule for the following function.

12)

Directions: Check whether the given number is a solution of the equation or inequality.

13) 8m−9=31 ;5 14) 6 z+3>27 ; 4

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Directions: Make a table for the function. Identify the range of the function. Then graph the function.

15) y = x + 3

Domain: 1, 3, 5, 7

Directions: Turn the following phrases into an equation or inequality.

16) The difference of 14 and the quotient of a number m and 24 is 11.

17) The product of 5 and a number m is more than a number 45.

18)

Directions: the|expressionwhen x=8∧ y=−4.

19) |– y|−3 x−2 y

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20) Brad solved an inequality as shown.

Step 1: −10≥x+4

Step 2: −10+(−4 )≥ x+4+ (−4 )

Step 3: −14≥ x+0

Step 4: −14≥ x

Which property justifies the work between Step 3 and Step 4?

a) Inverse Property of Addition

b) Identity Property of Addition

c) Addition Property of Equality

d) Commutative Property of Addition

Evaluate the following expressions.

21) 22)

Find the Unit Rate.

23)

Identify the Like Terms, the Coefficients, and the Constants for the following expression

24)

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Solve the following equation, if possible.

25) 26)

27) 28)

29) 30)

Solve the following literal equations.

31) 32)

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Graph the following equations.

33) 34)

Find the x and y intercepts for the following equations.

35)

Find the slope.

36) 37)

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38)

39)

40)

41)

42) 43)

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Write an equation of a line that passes through the given points.

44)

Write an equation in point-slope form that passes through the given points.

45)

Write an equation in standard form that passes through the given points.

46)

47)

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48) 49)

50) 51)

52) 53)

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Solve the compound inequality. Graph your solution.

54) 5−x>2∨5≤x−7 55) −10≤2 ( x−1 )<14

Graph the inequality.

56) 57)

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Write an inequality represented by the graph.

58) 59)

Solve the inequality, if possible.

60) 2 (3x−1 )>6(x+1) 61) 8 p+6−6 p>2 p+9

Translate the verbal statement into the inequality.

62) The difference of 9 and 3 x is less than or equal to −6.

Solve the inequality. Graph your solution.

63) y

−4←3 64) 4 a−8≤2a

65) 66)

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67) 68)

69) 70)

71) 72)

Find the sum, difference, or product.

73) (4 a3−2a+1¿−(a3−2a+3) 74) (w−8)2

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Solve the equation

75) x2+5 x=−6 76) 3 x2−18 x=0

77) 78)

79) 80)

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81)

82)

83)

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84)

85)

86)

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87)

88)

89)

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90)

91)

92) Find the mean, median, mode, and range for the following set of numbers.

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24, 12, 34, 48, 29, 24, 29, 4, 54, 43

93)

94)