Free Printable Contemporary College Math Semester 1 Review Ch 1-7

1.

All chickens that we have seen have been brown; so, all chickens are brown.

a)

Deductive

b)

Inductive

2.

All bears are mammals, all mammals have kidneys; therefore all bears have kidneys.

a)

Deductive

b)

Inductive

3.

1403, ____, 3403, 4403

a)

1403

b)

2000

c)

2503

d)

2403

4.

Sam played 6 games on Monday, 12 games on Tuesday, and 18 games on Wednesday. If the pattern continues, how many games will he play on Thursday?

a)

14

b)

20

c)

24

d)

28

5.

Find the next term in the sequence:
A, D, G, J, _____

a)

L

b)

M

c)

P

d)

K

6.

What is the rule for this pattern?
1st term:32
2nd term:36
3rd term:40

a)

4x+28

b)

4x+32

c)

x+4

d)

4x

7.

What is the rule for this pattern?
32,36,40,44

a)

add 4

b)

multiply 2

c)

subtract 4

d)

divide by 2

8.

Which of the following is the basis for inductive reasoning?

a)

definitions and accepted properties

b)

facts and rules

c)

laws of logic

d)

observed patterns

9.

What do we call an unproven statement that is based on observations?

a)

counterexample

b)

conditional

c)

converse

d)

conjecture

10.

What is a counterexample?

a)

A generalism that cannot be applied to a specific case

b)

A specific case that help to prove a conjecture

c)

A general case that is supported by specific examples

d)

A specific case for which a conjecture is false

11.

Which of the following is a counterexample to the conjecture that the product of two positive numbers is always greater than either number?

a)

1 x 5 = 5; 5 is not greater than 5

b)

2 x 3 = 6; 6 is greater than 2 and 3

c)

-3 x 4 = -12; -12 is not greater than -3 or 4

d)

-1 x -2 = 2; two is greater than -1 and -2

12.

Given the following observation--Each day, you get to school before your friend--what conjecture can you make?

a)

You arrived at school before your friend yesterday.

b)

You will get home before your friend.

c)

You will arrive at school before your friend tomorrow.

d)

You need a new friend.

13.

Which number is a counterexample to the following statement? :
All numbers that are divisible by 2 are divisible by 4

a)

0

b)

12

c)

28

d)

42

14.

What does deductive reasoning use to form its arguments?

a)

patterns

b)

specific cases

c)

observed examples

d)

facts, definitions, accepted properties, and laws of logic

15.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∩ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

16.

The Universal Set = { -4, 3, -2, -1, 0, 1, 2, 3 ,4} and A = {0}.
What is A'?

a)

{-4, -3, -2, -1, 0, 1, 2, 3}

b)

{-3, -2, -1, 1, 2, 3}

c)

{-4, -3, -2, -1, 1, 2, 3, 4}

d)

{-4, -3, -2, -1, 1, 2, 3}

17.

From the above Venn diagram, what is the set S ∩ T?

a)

{casey, drew, jade, glen}

b)

{alex, casey, drew,hunter}

c)

{casey, drew}

d)

{drew, jade}

18.

From the above Venn diagram, what is the set (S ∪ T) ∩ V?

a)

{casey, drew, jade, glen}

b)

{alex, glen, hunter, jade}

c)

{casey, drew, glen}

d)

{drew, jade}

19.

How many students do not ski or ice skate?

a)

10

b)

16

c)

22

d)

28

20.

Determine if the statement is true or false.
{10, 12, 14, 16} ⊆ {1,2,3,4,...99}

a)

True

b)

False

21.

Let A = {2, 3, 4, 5, 6, 7} B = {2, 4, 7, 8) C = {2, 4}. Fill in the blanks by ⊂ or ⊄ to make the resulting statements true.

B __ A

a)

⊂

b)

⊄

22.

If

A = {1, 3, 5, 15},

B = {2, 3, 5, 7}

C = {2, 4, 6, 8}

then what is (A U B) ∩ C ?

a)

{1,3,5}

b)

{1,2,3}

c)

{2,3,5}

d)

{2}

23.

If A = {1, 2, 3, 4, 5, 6}, B = {1, 2, 3, 5, 7, 9} and C = {3, 5, 6, 7, 8, 9}, what is (A ⋃ B) ⋂ (B ⋃ C)?

a)

{1, 2, 3, 4, 5, 6, 7, 9}

b)

{1, 2, 3, 4, 5, 6, 7, 8, 9}

c)

{1, 2, 3, 5, 6, 7, 9}

d)

{ }

24.

What is the cardinality of the set A = {whole numbers less than or equal to 20}?

a)

20

b)

21

c)

19

d)

18

25.

Given that
set V = { m, n, o, p },
find the number of subsets V.

a)

16

b)

12

c)

10

d)

8

26.

What are the subsets of {0, 1, 2, 3, 4, 5}?

**SELECT ALL THAT APPLY**

a)

{0, 1,3, 4, 5}

b)

{0}

c)

{0, 6, 2, 3, 4, 5}

d)

{0, 1, 4,5}

e)

{0, 1, 2, 3, 4, 5,8}

27.

Let A = {2, 3, 4, 5, 6, 7}

B = {2, 4, 7, 8)

C = {2, 4}.

Which of the following mathematical statements is true?

a)

B ⊂ C

b)

A ⊂ C

c)

C ⊂ A

d)

A ⊂ B

28.

If A={6,8,10,12} then 5 ∈ A

a)

True

b)

False

29.

How many proper subsets will this set have? A= {a, b, c} ?

a)

5

b)

7

c)

2

d)

0

30.

A = {x : x is a letter in the word SEAT}

B = {x : x is a letter in the word TASTE}

Determine if these two sets are equal or equivalent.

a)

Not equal because seat has 4 letters and taste has 5 letters

b)

Equivalent because they have the same letters

c)

Equal because each set has the same letters

d)

Both equal and equivalent

31.

A={x, y, z, w }. Which of the following is not true.

a)

$\left\{y\right\}\ \in A$

b)

$x\in A$

c)

$\left\{w\right\}\subset A$

d)

$\phi\subset A$

32.

Find the prime factorization of 60

a)

5 • 12

b)

2 • 3² • 5

c)

2² • 3 • 5

d)

2⁷

33.

Find the LCM of 18 and 24

a)

6

b)

72

c)

24

d)

5

34.

What is the GCF of 56 and 49?

a)

14

b)

2

c)

8

d)

7

35.

Which operation would you do first?

(12 + 10) ÷ 10 · 14 - 6

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

36.

$50-16\div2\times\left(12+4\right)$ What is the 3rd step when solving this expression?

a)

parentheses

b)

division

c)

multiplication

d)

subtraction

37.

$\frac{7}{8}-\frac{4}{5}$

a)

-1 / 40

b)

3 / 40

c)

3 / 8

d)

1

38.

$\frac{5}{6}\cdot\frac{3}{8}$

a)

16 / 5

b)

48 / 15

c)

15 / 48

d)

5 / 16

39.

$\frac{4}{5}\div\frac{5}{6}$

a)

24 / 25

b)

4 / 6

c)

2 / 3

d)

24 / 5

40.

$\sqrt{243}$

a)

$3\sqrt{3}$

b)

$9\sqrt{3}$

c)

$81\sqrt{3}$

d)

$3\sqrt{81}$

41.

Simplify:

2\sqrt{24}+5\sqrt{54}

a)

$7\sqrt{78}$

b)

$19\sqrt{6}$

c)

$7\sqrt{6}$

42.

Multiply:

$3\sqrt{8}\cdot4\sqrt{10}$

a)

$12\sqrt{80}$

b)

$7\sqrt{80}$

c)

$24\sqrt{20}$

d)

$48\sqrt{5}$

43.

Rationalize the denominator.
$\frac{\sqrt{3}}{\sqrt{15}}$

a)

$\frac{\sqrt{5}}{5}$

b)

$\frac{\sqrt{3}}{12}$

c)

$\frac{5\sqrt{2}}{2}$

d)

$\frac{\sqrt{3}}{3}$

44.

Multiply:

(3.4 x 10⁵)(1.2 x 10^-3)

a)

4.08 x 10^-8

b)

4.6 x 10²

c)

4.08 x 10²

d)

4.08 x 10^-15

45.

$\frac{1.4\ \times\ 10^9}{7\ \times\ 10^2}$

a)

$7\times\ 10^7$

b)

$0.2\ \times\ 10^7$

c)

$2\times10^8$

d)

$2\times10^6$

46.

According to exponent rules, when we raise the power to a power we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

47.

According to exponent rules, when we divide the expressions we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

48.

n²⋅n⁴⋅n⁵

a)

n¹¹

b)

n⁴⁰

c)

n¹³

d)

n²²

49.

(3y⁴)²

a)

9y⁸

b)

9y⁶

c)

6y⁸

d)

6y⁶

50.

a)

b)

c)

d)

51.

a)

b)

c)

d)

52.

Solve for m.

5\left(5m\ +\ 3\right)\ =\ 17\left(2m\ +\ 3\right)

a)

m = 3

b)

m = -2

c)

m = -4

d)

m = 1

53.

Solve for w.

-4\left(3w\ +\ 4\right)\ -\ 14\ =\ 3\left(2w\ -\ 4\right)\ -\ 9w

a)

w = -4

b)

w = -2

c)

w = 1

d)

w = 5

54.

Solve for x:

-20=\frac{x-3}{6}

a)

$x=-123$

b)

$x=-117$

c)

$x=-\frac{1}{3}$

d)

$x=-29$

55.

$Solve.\ \ \frac{3a\ -1}{4}\ =\ \frac{-2a\ +\ 4}{-2}$

ONLY PUT THE NUMBER AS THE ANSWER!

(a)

56.

solve for x

a)

5

b)

-25

c)

15

d)

1/5

57.

Which inequality is represented by the graph shown?

a)

$x\ge5$

b)

$x>5$

c)

$x\le5$

d)

$x<5$

58.

$-4x-3>-23$

a)

$x>5$

b)

$x<5$

c)

$x>-5$

d)

$x<-5$

59.

$-10-\left(-8x-7\right)>3x-10-4x$

a)

$x>\frac{7}{9}$

b)

$x<\frac{7}{9}$

c)

$x>-\frac{7}{9}$

d)

$x<-\frac{7}{9}$

60.

Factor

3x² + 8x + 5

a)

(x - 1) (3x - 5)

b)

(3x - 1) (x - 5)

c)

(x + 1) (3x + 5)

d)

(3x + 1) (x + 5)

61.

Factor:

x² + 11x + 24

a)

(x + 6)(x + 4)

b)

(x + 12)(x + 2)

c)

(x - 8)(x - 3)

d)

(x + 8)(x + 3)

62.

Determine the values of a, b, and c for the quadratic equation:

4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

63.

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

a)

No Real Solution

b)

c)

d)

64.

An electrician charges $25 to make a house call, plus $40 for every hour of work. Which equation shows how to find C, the total cost for having the electrician work for h hours? And how much will the electrician charge for 8 hours of work?

a)

C = 25+40h , $345

b)

C = 65h , $345

c)

C = 65h , $320

d)

C = 25 +40h , $320

65.

If one restaurant pays their employees $20 every night and an additional $3 per table they serve, and another restaurant pays their employees $28 every night with an additional $2 per table they serve, determine how many tables you must serve at each restaurant in order to receive the SAME amount of pay.

a)

8 tables

b)

12 tables

c)

10 tables

d)

9 tables

66.

What type of slope does the graph have?

a)

Positive

b)

Negative

c)

Zero Slope

d)

Undefined

67.

Find the slope of the line that passes through (10, -8) and (1, 12).

a)

20/9

b)

-20/9

c)

4/9

d)

9/4

68.

Write the equation for the line in slope-intercept form.

a)

y= -1x+3

b)

y= 4x+3

c)

y=1/4x+3

d)

y= -4x+3

69.

What graph represents that data in the table above?

a)

b)

c)

d)

70.

Which graph has a y intercept of -2?

a)

b)

c)

d)

71.

Which of the following systems of linear equations represent parallel lines?

a)

y = 2x - 3

2y = 4x + 6

b)

y = x + 2

y = 2x + 1

c)

y = -3

x = -4

d)

y = 2x + 4

72.

^{What is the x- intercept of the line?}

a)

(1, 0)

b)

(2, 0)

c)

( -1, 0)

d)

(-2, 0)

73.

Name the x- and y-intercepts for the equation:
2x - y = 6

a)

x=-6 and y=3

b)

x=-6 and y=-3

c)

x=3 and y=-6

d)

x=-3 and y=-6

74.

Solve the linear system:

-x + y = -13

-8x - 4y = -8

a)

(5, 8)

b)

(5, -8)

c)

(-5, -18)

d)

(-5, 8)

75.

Solve the linear system:

3x + 2y = 16

7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

76.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

77.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(5, 1)

c)

(-1, -3)

d)

(20, -5)

78.

Which of the following equations match the given graph?

a)

y ≤ -3/4 x + 3

b)

y ≥ -3/4 x + 3

c)

y < -3/4 x + 3

d)

y > -3/4 x + 3

79.

^{Brad is older than Adam but not as old as George.}

^{Jenny is older than George.}

^{List in order of age youngest to oldest}

a)

Adam, Jenny, George, Brad

b)

Jenny, Adam, George, Brad

c)

Adam, Brad, George, Jenny

d)

Jenny, George, Brad, Adam

80.

Mike is richer than Nancy, but shorter than Ronald.

Nancy is richer than Quincy but taller than Ronald.

Opal is poorer than Pat and taller than Mike.

Pat is poorer as well as shorter than Quincy.

Quincy is poorer as well as shorter than Mike.

Ronald is richer than Mike and taller than Opal.

Who is the richest person out of the given 6 persons?

a)

Mike

b)

Ronald

c)

Nancy

d)

Opal

81.

Which is an example of Commutative Property of Addition?

a)

7 + (6+3) = 7 + (3+6)

b)

3x4 = 4x3

c)

7 + 3 = 13 + 7

d)

2 + (3 + 4) = (2 + 3) +4

82.

9 + 0 = 9

a)

Identity Property of Multiplication

b)

Associative Property of Addition

c)

Identity Property of Addition

d)

Additive Inverse Property

83.

1 • 12 =12

a)

Identity Property of Multiplication

b)

Commutative Property of Multiplication

c)

Multiplication Property of One

d)

Distributive Property

84.

16 • 4 = 4 • 16

a)

Zero Property

b)

Commutative Property of Multiplication

c)

Identity Property of Multiplication

d)

Distributive Property

85.

Identify the property shown.

a)

Associative Property of Addition

b)

Commutative Property of Addition

c)

Distributive Property

d)

Multiplication Property of 1

Contemporary College Math Semester 1 Review Ch 1-7

Total questions: 85

Worksheet time: 5hrs 59mins

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