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Midterm Review #1 (No Calculator)

Total questions: 62

Worksheet time: 3hrs 57mins

Name
Class
Date
1.

Evaluate

 82-8^2  

a)

64

b)

-16

c)

16

d)

-64

2.

Michael sells paper at $12 a box. Which point would be on the graph of this relationship?

a)

(3,30)

b)

(5,60)

c)

(1,1)

d)

(4,40)

3.

Which property is being shown?

 3x + (2x+8y)=(3x+2x)+8y3x\ +\ \left(2x+8y\right)=\left(3x+2x\right)+8y  

a)

Commutative Property of Addition

b)

Associative Property of Addition

c)

Commutative Property of Multiplication

d)

Distributive Property

4.

It costs $500 to rent a room for a party. You hire a DJ who charges $21 an hour for his service. Which equation models the cost, c, for h, hours?

a)

c = 500h + 21

b)

c = 21h + 500h

c)

h = 21c + 500

d)

c = 500 + 21h

5.

The cost to get a party catered is a $200 deposit plus $10 per guest. This can be modeled by the equation c = 10g + 200. Which set of ordered pairs is a solution to the equation?

a)

(0,0) and (1,210)

b)

(0,200) and (3,170)

c)

(0,200) and (4,240)

d)

(0,0) and (10,300)

6.

The cost to get a party catered is a $200 deposit plus $10 per guest. This can be modeled by the equation c = 10g + 200. How many guests did you have if you paid $650?

a)

80

b)

40

c)

45

d)

85

7.

The cost to get a party catered is a $200 deposit plus $10 per guest. This can be modeled by the equation c = 10g + 200. What is the total cost for 100 guests?

a)

$1000

b)

$1200

c)

$300

d)

$10,200

8.

Name the like terms:

 5x7+3+9xx-5x-7+3+9x-x  

a)

-5x, 9x, -x

b)

-5x, 9x, x and 7,3

c)

-5x, 9x, -x and -7, 3

d)

5x, 9x, x and 7,3

9.

Name the coefficients:

 5x  7 + 3 + 9x  x-5x\ -\ 7\ +\ 3\ +\ 9x\ -\ x  

a)

-5, -7, 3, 9, -1

b)

-5, 9, -1

c)

5, 7, 3, 9, 1

d)

5, 9, 1

10.

Name the constants:

 5x  7 + 3 + 9x  x-5x\ -\ 7\ +\ 3\ +\ 9x\ -\ x  

a)

-7, -3

b)

7, 3

c)

-5, -7, 3, 9, -1

d)

-7, 3

11.

Simplify:

 5x  7 + 3 + 9x  x-5x\ -\ 7\ +\ 3\ +\ 9x\ -\ x  

a)

3x - 4

b)

2x + 4

c)

4x - 4

d)

-4x + 4

12.

Name the like terms:

 90a  3ab + 10a  590a\ -\ 3ab\ +\ 10a\ -\ 5  

a)

90a, -3ab, 10a

b)

90a, 10a

c)

90, -3, 10, -5

d)

-3ab

13.

Name the coefficients:

 90a  3ab + 10a  590a\ -\ 3ab\ +\ 10a\ -\ 5  

a)

90, 3, 10

b)

90, -3, 10, -5

c)

90, -3, 10

d)

90, 10, -5

14.

Name the constants.

90a - 3ab + 10a - 5

a)

-5

b)

5

c)

90, -3, 10, -5

d)

-3, -5

15.

Simplify:

 90a  3ab + 10a  590a\ -\ 3ab\ +\ 10a\ -\ 5  

a)

-3ab + 100a - 5

b)

97ab - 5

c)

100a - 5

d)

87ab + 7ab - 5

16.

Which is least?

a)

12

b)

|-13|

c)

36-3\left|6\right|

d)

|-12|

17.

Which inequality is represented by this graph?

a)

x > -4

b)

g < -4

c)

y > -4

d)

k < -4

18.

Which inequality is represented by this graph?

a)

3 > v

b)

3 < u

c)

3 > p

d)

3 < j

19.

Which is greatest?

a)

-12

b)

|-15|

c)

29-2\left|9\right|

d)

|14 - 20|

20.

You would love to go to the movies with your friends. Unfortunately the movie is rated PG-13, which means you must be at least 13 to see it. Which inequality matches if n is age?

a)

n > 13

b)

n < 13

c)

n < 13

d)

n > 13

21.

Evaluate for z = -2

 z3-z^3  

a)

6

b)

-6

c)

8

d)

-8

22.

Evaluate for g = -4, v = -20

 4(g)2+3v-4\left(g\right)^2+3v  

a)

-124

b)

4

c)

-4

d)

124

23.

Name the property being shown:

 5x + (2x+3)=(5x+2x)+35x\ +\ \left(2x+3\right)=\left(5x+2x\right)+3  

a)

Commutative Property of Addition

b)

Associative Property of Addition

c)

Commutative Property of Multiplication

d)

Associative Property of Multiplication

24.

Name the property being shown:

 6(9y)=(69)y6\left(9y\right)=\left(6\cdot9\right)y  

a)

Commutative Property of Addition

b)

Commutative Property of Multiplication

c)

Associative Property of Addition

d)

Associative Property of Multiplication

25.

Name the property being shown:

 0+36=360+36=36  

a)

Identity Property of Addition

b)

Associative Property of Addition

c)

Identity Property of Multiplication

d)

Commutative Property of Addition

26.

Evaluate:

 (3)4\left(-3\right)^4  

a)

-12

b)

12

c)

81

d)

-81

27.

The relationship between the number of cups (c) of lemonade sold and the temperature (t) is modeled by the equation: c = 15 + 10t

Which is the independent variable?

a)

temperature

b)

number of cups sold

c)

15

d)

10

28.

Which ordered pair is a solution to the equation?

c = 15 + 10t

a)

(115,10)

b)

(0,25)

c)

(10,115)

d)

(0,0)

29.

Which is greatest?

a)

-9

b)

-|-9|

c)

|11-15|

d)

-|10 - 25|

30.

Is this a proportional relationship?

 110=10100\frac{1}{10}=\frac{10}{100}  

a)

yes

b)

no

c)

sometimes

d)

why would you ask me this?

31.

Simplify:

 9x12xy+16x9x-12xy+16x  

a)

13xy

b)

-5x - 12xy

c)

25x - 12xy

d)

-3xy - 4xy

32.

Solve the equation:

 25x=312\frac{2}{5}x=3\frac{1}{2}  

a)

7/5

b)

35/4

c)

15

d)

35/2

33.

Solve the equation:

 15k15=12\frac{1}{5}k-15=12  

a)

105

b)

135

c)

75

d)

-15

34.

Solve the equation:

 38v=412\frac{3}{8}v=4\frac{1}{2}  

a)

72/6

b)

12

c)

27/16

d)

40/3

35.

Solve the equation:

 18m6=12m+3\frac{1}{8}m-6=\frac{1}{2}m+3  

a)

-10

b)

-17

c)

-24

d)

-72/5

36.

The equation c = 0.55b represents the cost of buying "b" beets. Is this a proportional relationship?

a)

no

b)

sometimes

c)

yes

37.

The equation c = 0.55B represents the cost of buying "b" beets. What is the constant of proportionality? What does it mean?

a)

c; cost you pay for beets

b)

0.55; it costs $0.55 per beet

c)

b; price per beet

d)

0.55; you get 0.55 of a beet for every dollar you spend

38.

Which inequality is represented by this graph?

a)

h > 6

b)

h > 6

c)

h > -6

d)

h < -6

39.

Evaluate for t = 2, x = -3

 8t3(tx)-8t-3\left(tx\right)  

a)

24

b)

-34

c)

-8

d)

2

40.

You ate lunch at Chipotle over the weekend. Your parents gave you $25 to spend. Which inequality represents the amount you are allowed to spend?

a)

m > 25

b)

25 > m

c)

m > 25

d)

25 > m

41.

Evaluate for v = 10

 53(v+6)5-3\left(v+6\right)  

a)

-7

b)

-43

c)

53

d)

17

42.

Which ordered pair is a solution to the equation?

 y=4x+3y=-4x+3  

a)

(2, -39)

b)

(3, -9)

c)

(-9, 3)

d)

(-5, -17)

43.

Which inequality is represented by this graph?

a)

-6 < h < 4

b)

-6 < h < 4

c)

-6 < h < 4

d)

-6 < h < 4

44.

 3(x2)-3\left(x-2\right)  Simplify:

a)

-3x + 6

b)

-3x - 6

c)

3x + 6

d)

-3(x - 2)

45.

Use the distributive property to rewrite the expression in factored form 4(x) - 4(3)

a)

4(x + 3)

b)

4x - 12

c)

4(x - 3)

d)

3(x + 4)

46.

Hoop It Up can only accommodate 550 people. Which inequality represents the possible attendance at this year's event?

a)

0 < n < 550

b)

550 > n > 0

c)

0 < 555 < n

d)

0 > n > 550

47.

 53-5^3  

Evaluate:

a)

75

b)

-75

c)

125

d)

-125

48.

 p(3m50m)p\left(3m-\frac{50}{m}\right)  

Evaluate for m = -5, p = 4

a)

-16

b)

-20

c)

40

d)

-40

49.

 (v+26)+9=9+(v + 26)\left(v+26\right)+9=9+\left(v\ +\ 26\right)  

Name the property being shown:

a)

Associative Property of Addition

b)

Associative Property of Multiplication

c)

Identity Property of Addition

d)

Commutative Property of Addition

50.

Which choice correctly shows the distributive property:

a)

5x + 3x = x(5x + 3x)

b)

9(3 - 2y) = 27 - 2y

c)

j(19 + k) = 19j + k

d)

2x + 2(3) = 2(x + 3)

51.

 4k+2(k8)=804k+2\left(k-8\right)=80  

Solve:

a)

13

b)

32/3

c)

16

d)

17

52.

 4(53)=(45)34\left(5\cdot3\right)=\left(4\cdot5\right)3  

Name the property being shown:

a)

Identity Property of Multiplication

b)

Commutative Property of Multiplication

c)

Associative Property of Multiplication

d)

Distributive Property over Multiplication

53.

 25z+2g25-z+2g  

Evaluate for z = -5, g = -6:

a)

8

b)

18

c)

32

d)

42

54.

Use the Distributive Property to rewrite in factored form: 24x - 18

a)

x(24 - 18)

b)

6(4x - 3)

c)

6x(4 - 3)

d)

4(6x - 9)

55.

 25=x40\frac{2}{5}=\frac{x}{40}  


x = (a)   (just type the final number answer)

56.

Solve the proportion


 \frac{3}{24}=\frac{x}{6}  

x = (a)   (just type final number answer)

57.


Solve:
 5(y+6)=3y145\left(y+6\right)=3y-14  


x = (a)   (just type final number answer)

58.

 15(p13)=23\frac{1}{5}\left(p-\frac{1}{3}\right)=\frac{2}{3}  
Solve.  Enter your answer as an improper fraction.
x = (a)   (just type the final number)

59.

Evaluate: -6(-36)

(a)  

60.

Evaluate: -95 + 126

(a)  

61.

Evaluate:

 305(8) + (3)230-5\left(8\right)\ +\ \left(-3\right)^2  



(a)  

62.

Simplify: -8(-2v - 6)

a)

16v + 46

b)

16v + 48

c)

16v - 48

d)

-16v - (+46)