Free Printable Middle of the Year Review

1.

5³⋅5⁴

a)

5⁷

b)

5⁻¹

c)

5¹²

d)

5

2.

(x⁴)²

a)

x⁸

b)

x⁶

c)

x²

d)

8

3.

Evaluate the expression using the quotient rule.

a)

x¹³

b)

x⁵

c)

x³⁶

d)

x^-5

4.

Simplify the expression in exponential form:
134⁰

a)

0

b)

134

c)

1

5.

Simplify the expression:
(a⁵)(a⁴)

a)

a²⁰

b)

a⁹

c)

a¹

6.

8⁰ = 0

a)

True

b)

False

7.

$\frac{7^8}{7^4}$ =7²

a)

True

b)

False

8.

Simplify: 3x³ ⋅ 3x

a)

3²x⁴

b)

3 ⋅ x ⋅ x ⋅ x ⋅3 ⋅ x

c)

9x⁴

d)

3x⁴

9.

Simplify: $\frac{12x^5y^4}{2x^9y}$

a)

$6x^{-4}y^3$

b)

$\frac{6y^3}{x^4}$

c)

$\frac{12y^3}{2x^4}$

d)

$\frac{6x^4}{y^3}$

10.

Simplify.

a)

y⁶⁰

b)

¹/_y¹⁶

c)

y^-16

d)

y⁴

11.

Rewrite using a positive exponent.
7^-10

a)

¹/_7¹⁰

b)

7¹⁰

c)

¹/_7^-10

d)

-70

12.

How would you write 4.3756 x 10⁴in standard form?

a)

437,560,000

b)

0.00043756

c)

43,756

d)

4,3756

13.

How would you write 0.0005 in scientific notation?

a)

50 x 10⁵

b)

5 x 10^-4

c)

5 x 10³

d)

.5 x 10³

14.

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

15.

Write 0.00000707 in scientific notation.

a)

7.07 x 10^-6

b)

7.07 x 10⁶

c)

707 x 10⁸

d)

707 x 10^-8

16.

Is this written in scientific notation?

a)

Yes, it is in scientific notation!

b)

No, it's not in scientific notation.

17.

6. $\frac{(9.2x10^4)}{(5.9x10^2)}$

a)

$1.6x10^8$

b)

$1.6x10^2$

c)

$1.6x10^6$

18.

4. (2.1×10²) × (3.0×10⁴)

a)

5.1 x 10²

b)

6.3 x 10⁶

c)

6.3 x 10⁸

d)

none of the above

19.

2. When you divide like bases you _____________ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

20.

1. When you multiply like bases you ______________ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

21.

5x - 14 = 8x + 4

a)

x = 6

b)

x = -6

c)

x = -18/13

d)

x = 10/3

22.

What is the first step to solve this equation?

3x + 6 = 10 + 3x + 4x

a)

Add 4x to both sides of the equation

b)

Combine like terms 3x and 4x on the same side of the equation

c)

Add 3x and 6 to get 9x

d)

Add 6 and 10 to get 16

23.

Choose the correct first step for this equation.

$\ 7x\ =\ 2x\ -\ 20$

a)

Subtract 2x from both sides.

b)

Subtract 7x from both sides.

c)

Sutbract 20 from 2x.

24.

3x = 15 - 2x

a)

x = 9

b)

x = 3

c)

x = -3

d)

x = 6

25.

In "y = mx + b", the "m" represents ______.

a)

y-intercept

b)

x-intercept

c)

slope

d)

the formula

26.

Find the slope

a)

4/5

b)

5/4

c)

-5/4

d)

-4/5

27.

What is the slope in the picture?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

28.

What is the slope formula?

a)

b)

c)

d)

29.

What type of slope?

a)

undefined

b)

positive slope

c)

negative slope

d)

zero slope

30.

The point where the line crosses the y-axis is called the:

a)

origin

b)

x-intercept

c)

y-intercept

d)

slope

31.

Slope is know as rise/

a)

run

b)

fall

c)

none

d)

rise

32.

What is the Slope?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

33.

What is the slope in the picture?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

34.

What is the slope represented in the table?

a)

slope: $\frac{1}{2}$

b)

slope: $2$

c)

slope: $-\frac{1}{2}$

d)

slope: $-2$

35.

What is the equation of a line when m = -3 and b = 5?

a)

y = -3x + 5

b)

y = -3x - 5

c)

y = 5x + 3

d)

y = -5x - 3

36.

a)

Function

b)

Not a Function

37.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

38.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

39.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

40.

Is this table a function or not a function?

a)

Function

b)

Not a Function

41.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

42.

Which set of values is a function?

a)

(9,5) (10,5) (9,-5) (10,-5)

b)

(3,4) (4,-3) (7,4) (3, 8)

c)

(6,-5) (7, -3) (8, -1) (9, 1)

d)

(2, -2) (5, 9) (5, -7) (1, 4)

43.

Which ordered pair could you add to the following list of points to create a function? (3, 5) (4, 9) (2, 5)

a)

(3, 7)

b)

(4, 1)

c)

(1, 9)

d)

(2, 6)

44.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

45.

Is this function linear or nonlinear?

a)

Linear

b)

Nonlinear

46.

Is this function linear or nonlinear?

a)

Linear function

b)

Nonlinear function

47.

Is this equation linear or non linear?

a)

Linear

b)

Non Linear

48.

Does the graph represent a linear function or a non linear function?

a)

Linear Function

b)

Non-Linear Function

49.

Does the graph represent a linear function or a non-linear function?

a)

Linear Function

b)

Non-Linear Function

50.

Is the function Linear or Nonlinear?

a)

Linear

b)

Nonlinear

51.

Classify this number: 6.7

a)

real

b)

real rational

c)

real rational integer

d)

real rational integer whole

52.

Classify this number: √10

a)

real

b)

real rational

c)

real irrational

d)

real rational integer

53.

Classify this number: -12

a)

real

b)

real rational

c)

real irrational

d)

real rational integer

54.

Which real number is NOT rational?

a)

$-\sqrt{49}$

b)

$-4\frac{4}{15}$

c)

$\sqrt{18}$

d)

$12.4568$

55.

A rational number:

a)

can be turned into a fraction.

b)

is only positive.

c)

can't have a decimal.

d)

is not a real number.

56.

Which of the following is a whole number?

a)

-2

b)

-10

c)

10

d)

-1

57.

To find the square root of a number, you must divide it by 2.

a)

True

b)

False

58.

Which of these is not a perfect square?

a)

144

b)

36

c)

121

d)

72

59.

Evaluate.

a)

-12

b)

12

c)

±12

d)

1/12

60.

Evaluate.

a)

7/5

b)

±7/5

c)

5/7

d)

±5/7

Middle of the Year Review

Total questions: 60

Worksheet time: 30mins

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