Free Printable Midterm Review (Advanced Math)

1.

Which point on the number line best represents -1.2?

a)

A

b)

B

c)

C

d)

D

e)

E

2.

Which point on the number line best represents -1.2?

a)

A

b)

B

c)

C

d)

D

e)

E

3.

Label Point C

a)

5/6

b)

-2/6

c)

-2/3

d)

-1/2

4.

Which decimal is located at point B

a)

4.0

b)

0.5

c)

1.4

d)

0.4

5.

Which list shows the numbers in order from greatest to least value?

a)

F.

b)

G.

c)

H.

d)

J.

6.

Which list shows these weights in order from greatest to least?

a)

F.

b)

G.

c)

H.

d)

J.

7.

Which temperature in degrees Celsius is less than both of the temperatures Mari recorded?

a)

F.

b)

G.

c)

H.

d)

J.

8.

Which list shows the numbers in order from least value to greatest value?

a)

F.

b)

G.

c)

H.

d)

J.

9.

Which list shows the temperatures in order from coldest to warmest in degrees Fahrenheit?

a)

A.

b)

B.

c)

C.

d)

D.

10.

Eason is making activity baskets to donate to charity. She has 12 coloring books and 36 crayons. What is the greatest number of baskets she can make if each type of toy is equally distributed among the baskets?

a)

2

b)

12

c)

36

d)

6

11.

Maya had 16 red flowers and 24 yellow flowers. She wants to make bouquets with the same number of each color flower in each bouquet. What is the greatest number of bouquets that she can make?

a)

4

b)

2

c)

48

d)

8

12.

At the movie theater, they give out a free drink to every 75th customer and a free bag of popcorn to every 30th customer. Who is the first customer that is going to win both free items?

a)

16th customer

b)

150th customer

c)

300th customer

d)

180th customer

13.

A radio station is giving away a $100 bill to every 30th caller and movie tickets to every 40th caller. Which caller will be the first to win both prizes?

a)

5

b)

2

c)

10

d)

120

14.

The school cafeteria serves tacos every sixth day and cheeseburgers every eight day. If tacos and cheeseburgers are both on today’s menu, how many days will it be before they are both on the menu again?

a)

14 days

b)

24 days

c)

34 days

d)

44 days

15.

The coordinate plane is divided into (a) quadrants.

16.

What is the location of Point A?

a)

(4,3)

b)

(3,4)

17.

Point E is located at the

a)

y-axis

b)

x-axis

c)

origin

18.

What is the location of Point B?

a)

(-3,2)

b)

(2,-3)

19.

What is the location of Point C?

a)

(-4,-2)

b)

(-2,-4)

20.

What is the location of point D?

a)

(6,-3)

b)

(-3,6)

21.

2 ¼ ÷ 4 ⅕ =

a)

11/26

b)

⅝

c)

⅞

d)

15/28

22.

1 ½ ÷ ½ =

a)

⅓

b)

1 ¼

c)

3

d)

3/4

23.

Divide:

5 ⅚ ÷ 1 ⅓

a)

3 7/9

b)

4 3/8

c)

4 1/4

d)

2 9/10

24.

Simplify the expression: 2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

25.

Simplify the expression: 7v + 2 + 12 + 2v

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

26.

5x + 3y + 5 + 4x + 3y + y + 8

a)

9x + 7y + 13

b)

6x + 2y + 2

c)

25x + 2y + 3

d)

x + 7y + 12

27.

2(4 + 9w)

a)

8+9w

b)

2+9

c)

8+18w

d)

2+9w

28.

y + 5x - 10

a)

coefficient

b)

terms

c)

variables

d)

constant

29.

3y + 5

a)

term

b)

variable

c)

coefficient

d)

constant

30.

2x + 3y + 5x = 75

a)

coefficeient

b)

constant

c)

terms

d)

variables

31.

$4\ +1\times\left(16-3\right)\times8$

a)

110

b)

109

c)

108

d)

107

32.

$10\ -2\ \times3\ -\left(3\times3\right)\ +8$

a)

7

b)

-7

c)

9

d)

10

33.

2) The expression below contains (a) terms.

-3x^2+y-2-x^3

34.

5) What is the FIRST COEFFICIENT that appears in the expression:

y\ +2-4x^5y\ -\ 3c^2

a)

1

b)

y

c)

-4

d)

5

e)

-3

35.

What terms are alike in this expression?

7x² - 15x² + 3x³ - 7

a)

7x² and -7

b)

-15x² and 7x²

c)

3x³ and 7x²

d)

None are alike

36.

Simplify: 8x² + 5x + 2y + x

a)

14x + 2y

b)

13x²+ 2y + x

c)

8x² + 6x + 2y

d)

8x² + 7xy + x

37.

3x²+4x²+7 is

a)

7x⁴+7

b)

7x² + 7

c)

7x⁵

d)

7

38.

7 + (12-3)²

a)

256

b)

88

c)

10

d)

13

39.

(15 ÷ 3)² + 9 ÷ 3

a)

11.3

b)

28

c)

13

40.

(15 ÷ 3)² + 9 ÷ 3

a)

11.3

b)

28

c)

13

41.

Solve the following:
(2 + 7 - 1) ÷ 2²

a)

16

b)

2

c)

72.25

d)

8.75

42.

The Jackson family owns a 1/2 acre of waterfront property. They plan to divide it into three smaller lots and sell them. What is the size, in acres, of each smaller lot?

a)

1/6 acre

b)

1/5 acre

c)

2/3 acre

d)

1 1/2 acres

43.

Molly has 10 feet of ribbon. She is making ornaments. Each ornament uses 1/5 foot of ribbon. How many ornaments can Molly make?

a)

15

b)

50

c)

2

d)

1/2

44.

Juliana and two friends went to the movies. They shared 4/5 of a candy bar. If they share the bar equally, how much of the candy bar will each person get?

a)

5/8

b)

12/5

c)

2 2/5

d)

4/15

45.

How many ½ cup servings are in ⅓ cup of milk?

a)

⅙

b)

⅖

c)

⅔

d)

1½

46.

Ellen has ¾ cup of frosting to use for cupcakes. Each cupcake requires ⅛ cup of frosting. What is the maximum number of cupcakes Ellen can put frosting on?

a)

2

b)

4

c)

6

d)

10

47.

Katie owns 2⅔ acres of land. She divided the land into ⅓ acre lots. How many lots did Katie have?

a)

6

b)

7

c)

8

d)

9

48.

Rachel had 1/8 bag of popcorn. Ethan had 2/3 bag of popcorn. How much popcorn did they have altogether?

a)

19/24

b)

3/24

c)

1/2

d)

3/11

49.

Alisha kept track of the growth of a plant. At the beginning of one week, her plant was 1 7/8 inches tall. The next week, the plant was 2 3/4 inches tall. How many inches did Alisha’s plant grow over the week?

a)

1/2

b)

7/8

c)

1 1/2

d)

4 5/8

50.

Sam uses 1 1/4 ounces of ham on each sandwich. If he makes 4 1/2 sandwiches, how much ham will he use?

a)

5

b)

5 5/8

c)

5 3/4

d)

4 5/8

51.

Jacob bought 5 bottles of orange juice at a market. Each bottle cost $2.43. How much did the orange juice cost all together?

a)

$7.43

b)

$10.05

c)

$12.15

d)

$20.05

52.

Jasir had $21.50 to spend at the store. He spent $0.55 on gum, $3.85 on pencils, and $9.84 on a book. How much money did Jasir have left after buying the gum, pencils, and book?

a)

$7.16

b)

$7.26

c)

$8.26

d)

$8.36

53.

2(3 + 6y)

a)

6 + 6y

b)

6 + 12y

c)

6y + 12

d)

3 + 12y

54.

5(6x - 4)

a)

30x - 9

b)

6x - 4

c)

30x - 20

d)

30x - 4

55.

Which expressions are equal to the sum of 36 + 24? Choose ALL that apply.

a)

6(5 + 4)

b)

3(6 + 8)

c)

12(3 + 2)

d)

(12 x 3) + (12 x 2)

e)

(12 + 3) + (12 + 2)

56.

Which expressions are equal to the sum of 21 + 49? Choose ALL that apply.

a)

7(4 + 7)

b)

7(3 + 7)

c)

2(7 + 17)

d)

(7 + 3) + (7 + 7)

e)

(7 x 3) + (7 x 7)

57.

What is the prime factorization of 84? MAKE A FACTOR TREE.

a)

2 x 6 x 7

b)

2 x 3 x 7

c)

2 x 2 x 3 x 7

d)

2 x 2 x 7

58.

Which of the following is equivalent to 5(2x + 6)?

a)

10x + 30

b)

10x + 6

c)

40x

d)

2x + 30

59.

-6(a + 8)

(a)

60.

6(−5n + 7)

(a)

61.

−6(x + 4)

(a)

62.

−4(−8x − 8)

(a)

63.

the product of x and sixteen

a)

x + 16

b)

x - 16

c)

16x

d)

x/16

64.

Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.

a)

8 - 4m

b)

8m - 4

c)

8m + 4

d)

4m - 8

65.

a number more than 12

a)

n + 12

b)

12n

c)

12 + n

d)

12 - n

66.

5 less than the product of 7 and s

a)

7s - 5

b)

5 - 7 + s

c)

7(s - 5)

d)

5 - 7s

67.

a number more than 12

a)

n + 12

b)

12n

c)

12 + n

d)

12 - n

68.

The product of seven and j

a)

7j

b)

j+7

c)

j-7

d)

$\frac{j}{7}$

69.

Five times Mike's age, increased by nine

a)

5(x+9)

b)

9(5+x)

c)

9x+5

d)

5x+9

70.

m plus the product of 6 and n

a)

m + 6n

b)

m - 6 + n

c)

6m + n

d)

m + 6 + n

71.

The difference of a number and 8

a)

8 - n

b)

8n

c)

n - 8

d)

8 x n

72.

-9 + (-8) = x

a)

x = 1

b)

x = -1

c)

x = 17

d)

x = -17

73.

-15 + (-13) = x

a)

x = 28

b)

x = -18

c)

x = -28

d)

x = -12

74.

It is a cold winter day in Virginia, the temperature when I woke up this morning was

-9\degree.

At noon, the temperature increased by

8\degree

. What was the temperature at noon?

a)

$-1\degree$

b)

$-4\degree$

c)

$4\degree$

d)

$12\degree$

75.

Evaluate: 7 - (-5) = x

a)

x = -2

b)

x = 2

c)

x = -12

d)

x = 12

76.

Evaluate: -6 - (-22) = x

a)

x = 16

b)

x = -16

c)

x = 28

d)

x = -28

77.

$-99\ \div\ \left(-11\right)\ =x$

Evaluate:

a)

x = 9

b)

x = -9

c)

x = 110

d)

x = -110

78.

-7 x 8 =

a)

56

b)

-56

c)

49

d)

-49

79.

$\left(-3\right)^2$

a)

—6

b)

—9

c)

9

d)

6

80.

On Monday the temperature was -5 degrees in the morning. The temperature rose 14 degrees throughout the day. What was the final temperature?

a)

9

b)

19

c)

—19

d)

—9

81.

You owe the bank $30. You write a $20 check to pay for lunch. How much money do you have in your account now?

a)

$10

b)

—$10

c)

—$50

d)

$50

82.

A football team gained 7 yards on the first play, lost 14 yards on the second play, and gained 11 yards on the third play. How many yards have they moved from their starting spot?

a)

+4 yards

b)

—4 yards

c)

+32 yards

d)

+18 yards

Midterm Review (Advanced Math)

Total questions: 82

Worksheet time: 4hrs 43mins

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