Free Printable Midterm Review 2023

1.

What type if number is $\sqrt{2}$ ?

a)

Integer

b)

Rational Number

c)

Irrational Number

d)

Whole Number

2.

Choose the rational number

a)

$\sqrt[]{41}$

b)

$-\frac{1^{ }}{3}$

c)

-6.26378. . .

d)

$\pi$

3.

Choose the irrational number

a)

$-\frac{5}{6}$

b)

16

c)

$\pi$

d)

2.232323. . .

4.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

5.

Which of the following is correct scientific notation?

a)

20.35 x 10⁴

b)

.2035 x 10⁴

c)

2035⁴

d)

2.035 x10⁴

6.

a)

x^1/2

b)

x³

c)

x²

d)

x^-2

7.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

8.

How would you write 4.3756 x 10⁴in standard form?

a)

437,560,000

b)

0.00043756

c)

43,756

d)

4,3756

9.

Multiply:
(1.4 x 10⁵)(2 x 10⁷)

a)

2.8 x 10³⁵

b)

2.4 x 10¹²

c)

2.8 x 10¹²

10.

Solve: (9.21 x 10⁹) - (6 x 10⁹)

a)

3.21 x 10¹⁸

b)

1.521 x 10¹⁰

c)

15.21 x 10⁹

d)

3.21 x 10⁹

11.

2 - 4

a)

2

b)

-8

c)

6

d)

-2

12.

-9 - 5

a)

-14

b)

4

c)

-4

d)

45

13.

The √98 falls between what two numbers on a number line?

a)

10 and 11

b)

11 and 12

c)

9 and 10

d)

90 and 100

14.

What is the solution to the equations?

a)

one solution

b)

no solution

c)

infinite solutions

d)

none of these

15.

Solve . $11c\ -\ 8\ =\ 58$

a)

6

b)

-6

c)

5.1

d)

-5.1

16.

Simplify. $6x\ +\ 11y\ -\ 9x\ -\ 7y$

a)

15x + 18y

b)

-3x + 4y

c)

15x - 18y

d)

3x - 4y

17.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

18.

3(3x - 6) = 18

a)

x = 4

b)

x = -4

c)

no solution

d)

all real numbers (infinite)

19.

2x + 1 = 2(x -10)

a)

No Solution

b)

x = 0

c)

all real numbers (infinite)

20.

a)

1/2

b)

1/10

c)

1/100

d)

1/9

21.

Convert to a decimal

a)

0.7

b)

0.35

c)

2.7

d)

0.28

22.

Select all that apply that will classify the following number: -16

a)

NATURAL

b)

WHOLE

c)

INTEGER

d)

RATIONAL

23.

Select all that apply that will classify the following number: 4

a)

NATURAL

b)

WHOLE

c)

INTEGER

d)

RATIONAL

24.

How would you classify the number 0?

a)

Whole Number

b)

Natural Number

c)

Irrational Number

25.

How would you classify $\sqrt[]{8}$ ?

a)

Whole Number

b)

Rational Number

c)

Integer

d)

Irrational Number

26.

A number that cannot be expressed as a fraction is called a(n):

a)

Integer

b)

Irrational number

c)

Rational number

d)

Whole number

e)

Repeating decimal.

27.

Which option describes where $\sqrt{150}$ would be labeled on a number line? Click all that apply.

a)

To the left of the center of the number line

b)

Between $\sqrt{151}$ and $\sqrt{160}$

c)

Between 12 and 13

d)

Between 150 and 160

28.

√ 64

a)

4

b)

6

c)

9

d)

8

29.

√ 81

a)

8

b)

7

c)

10

d)

9

30.

∛8 =

a)

4

b)

3

c)

2

d)

512

31.

∛512

a)

8

b)

7

c)

9

d)

6

32.

Reorder the following from least to greatest

a)

$\pi$

b)

$\frac{23}{7}$

c)

$\sqrt[]{10}$

1)

2)

3)

33.

Estimate the square root as a decimal to the nearest tenth.

(a)

34.

Between what 2 whole numbers is $\sqrt{35}$ ?

a)

2 and 3

b)

3 and 4

c)

4 and 5

d)

5 and 6

35.

put √7 in the right blank

a)

__, 2.5, 2.53, 2.65

b)

2.5, __, 2.53, 2.65

c)

2.5, 2.53, __, 2.65

d)

2.5, 2.53, 2.65, __

36.

Simplify the following:

$x^2\ \cdot\ x^4$

a)

$x^6$

b)

$x^8$

c)

$x^{16}$

d)

$x^2$

37.

Simplify the following:

$3x^2\ ⋅\ 2x^4$

a)

$6x^6$

b)

$5x^8$

c)

$6x^8$

d)

$9x^6$

38.

Simplify the following:

$(x^3)^4$

a)

$x^{12}$

b)

$x^7$

c)

$x^1$

d)

$x^{81}$

39.

Simplify the following:

$\frac{10x^{15}}{2x^3}$

a)

$5x^{12}$

b)

$5x^5$

c)

$5x^{18}$

d)

$8x^{12}$

40.

Simplify the following (CAREFUL!!!):

$\frac{x^{12}}{x^{-2}}$

a)

$x^{14}$

b)

$x^{-6}$

c)

$x^{10}$

d)

$\frac{1}{x^6}$

41.

Simplify the following:

$x^5\ \cdot\ x^{-5}$

a)

1

b)

$x^{-10}$

c)

$x^{-25}$

d)

$x^5$

42.

Simplify the following:

$(2x^4y^7)^3$

a)

$6x^7y^{10}$

b)

$6xy^{32}$

c)

$8x^{12}y^{21}$

d)

$8x^7y^{10}$

43.

What is the first step in solving the following equation? $7\left(2x+13\right)+8=29$

a)

Divide both sides by 7.

b)

Distribute the 7 to the terms in the parentheses.

c)

Add 8 to both sides.

d)

Subtract 8 from both sides.

e)

Combine the 7 and the 8.

44.

Simplify by distributing and combining like terms only. DO NOT SOLVE for x: $-9x+5-2+x$

(a)

45.

Simplify by distributing and combining like terms only. DO NOT SOLVE for x: $-8\left(-2x+1\right)-10$

(a)

46.

Solve: $12-6x-42=18$

(a)

47.

Solve: $3+7x=6x-4$

(a)

48.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

49.

Solve

8x-20=\ -4\left(x-1\right)

a)

x = 2

b)

x = 3

c)

x = 4

d)

x = 5

e)

x = 8

50.

$7x=3x-36$

(a)

51.

$3\left(5x+2\right)=2\left(3x-6\right)$

(a)

52.

Which letter matches the coordinate (4, -6)?

a)

G

b)

Z

c)

K

d)

None of the above

53.

Where is point E located?

a)

( 2, 0 )

b)

( 2 , 2 )

c)

( 0 , 2 )

d)

( 0 , 0 )

54.

What is coordinate R?

a)

(2,5)

b)

(0,1)

c)

(2,3)

d)

(1,0)

55.

Give the coordinates for POINT I.

a)

(-2, 5)

b)

(-2, -5)

c)

(2, 5)

d)

(2, -5)

56.

What is located at (5,3)?

a)

nothing

b)

point A

c)

the park

d)

point B

57.

What is the ordered pair for the letter A?

a)

(2, 4)

b)

(4, 2)

c)

(-2, 4)

d)

(2, -4)

58.

How would you write 564,000,000 in scientific notation?

a)

5.64 x 10^-7

b)

5.64 x 10⁶

c)

5.64 x 10⁸

d)

56.4 x 10⁷

59.

Express the following in scientific notation:
.000457

a)

457 x 10⁶

b)

457 x 10^-6

c)

4.57 x10⁴

d)

4.57 x 10^-4

60.

ANY number raised to a power of 0 will be....

a)

10

b)

itself

c)

1

d)

0

61.

Which of the following is correct scientific notation?

a)

20.35 x 10⁴

b)

.2035 x 10⁴

c)

2035⁴

d)

2.035 x10⁴

62.

Multiply:
(3.4 x 10⁵)(1.2 x 10^-3)

a)

4.08 x 10^-8

b)

4.8 x 10²

c)

4.08 x 10²

d)

4.08 x 10^-15

63.

Divide:
(6.9 x 10⁷) / (2.3 x 10^-3)

a)

3 x 10¹⁰

b)

3 x 10⁴

c)

3 x 10^-4

d)

3 x 10^-11

64.

What is the simplified version of

a)

3.9 x 10⁶

b)

4 x 10²⁰

c)

4 x 10⁶

d)

3.9 x 10²⁰

65.

Add with scientific notation.

(5.2 x 10⁷) + (3.01 x 10⁴)

a)

5.20301 x 10¹¹

b)

.520301 x 10⁷

c)

5.20301 x 10⁷

d)

5.20301 x 10⁸

66.

Subtract with scientific notation.

(4.01 x 10⁸) - (7.32 x 10⁶)

a)

-3.936 x 10⁸

b)

3.936 x 10⁸

c)

3.936 x 10⁷

d)

3.936 x ⁻²

67.

Evaluate the expression: $\left(2\ \times\ 10^3\right)\times\left(6\ \times10^6\right)$

a)

$1.2\times10^{10}$

b)

$12\ \times\ 10^{18}$

c)

$12\times10^9$

d)

$8\times10^9$

68.

Evaluate the expression: $\left(2.5\ \times10^4\right)\ +\ \left(7.5\ \times10^4\right)$

a)

$10\ \times10^8$

b)

$10\ \times10^4$

c)

$1\ \times10^9$

d)

$10\ \times10^{16}$

Midterm Review 2023

Total questions: 68

Worksheet time: 4hrs 43mins

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