Free Printable Essentials of Math 1st Sem Final Review

1.

Is this a correct answer?

a)

Yes, the student correctly added.

b)

No, you cannot add unlike denominators

c)

No, 5 + 7 is not 12

d)

No, 2 + 3 is not 5

2.

What is the least common denominator you could use to subtract 1/3 and 1/4?

a)

3

b)

4

c)

24

d)

12

3.

What is the the next step to finding this answer?

a)

Add the numerators (1+1=2)

b)

Multiply 12 X 1 for both fractions to find a new numerator

c)

Multiply to find each new numerator by the multiple used to get 12. (3 X1) (4 X 1)

d)

This is a mistake, you don't need to convert to twelfths

4.

22 - [(5 + 2) + (16 - 4)]

a)

5

b)

11

c)

3

d)

12

5.

34 -( 45 ÷ 9 ) x 5

a)

9

b)

12

c)

3

d)

16

6.

36 - [1 + (7 x 2)] - (3 + 1)

a)

4

b)

12

c)

17

d)

21

7.

-12n - (-13n)

a)

-25n

b)

25n

c)

n

d)

-n

8.

Simplify the expression:
$6-2\left(7x-3\right)$

a)

-14x

b)

-14x + 12

c)

14x

d)

5x +1

9.

Simplify the expression by combining like terms.

8a+4b+2c-3b+a

a)

9a+b+2c

b)

10a+7b+c

c)

13abc

d)

18abc

10.

Combine Like Terms $4x\ -\ 5\ +6y+\left(-7x\right)-3x+10$

a)

$14x\ +6y\ +5$

b)

$-6x+6y+15$

c)

$-6x+6y+5$

d)

$-14x\ +\ 6y\ +\ 5$

11.

a)

61

b)

54

c)

43

d)

32

12.

a)

84

b)

46

c)

73

d)

81

13.

a)

42

b)

24

c)

34

d)

52

14.

a)

1

b)

4

c)

2

d)

5

15.

x² - xy if x = 8 and y = -3

a)

88

b)

40

c)

-8

d)

-24

16.

-7w² + 2w if w = -4

a)

104

b)

-64

c)

-120

d)

120

17.

Pick the correct sequence of steps for Order of Operations:

a)

Parentheses, Multiplication/Division, Addition/Subtraction, Brackets, Braces

b)

Multiplication/Division, Addition/Subtraction, Parentheses, Brackets, Braces

c)

Parentheses, Brackets, Braces, Multiplication/Division, Addition/Subtraction

d)

Parentheses, Braces, Brackets, Addition/Subtraction, Multiplication/Division

18.

[ (6 ÷ 2) x 6 + 4 x 7]

a)

141

b)

49

c)

46

d)

344

19.

Write the following term/expression in algebraic form:

The product of 7 and d

(a)

20.

Translate the sentence into an equation:

Four more than six times a number is 18.

a)

4x + 6 = 18

b)

4x + 6 = 18

c)

6x + 4 = 18

21.

Translate: the sum of two times a number and five

a)

2 + y + 5

b)

2 + 5y

c)

2y + 5

d)

2(y+5)

22.

Which phrase matches the algebraic expression 18 + h ?

a)

the sum of 18 and h

b)

the product of 18 and h

c)

the difference of 18 and h

d)

the quotient of 18 and h

23.

Translate this phrase into an algebraic expression.
24 more than Victoria's test score.
Use d to represent Victoria's test score.

a)

24x

b)

x - 24

c)

x + 24

d)

x/24

24.

Translate this phrase intoan Algebraic expression.
57 more than 3 times Ziana's score
Use the variable g to represent Ziana's score.

a)

57g + 3

b)

3g - 57

c)

3g + 57

d)

57 - 3g

25.

x - 62 = 123
How should you show your work to isolate the variable and solve the equation?

a)

Add 62 to each side.

b)

Subtract 62 from each side.

c)

Multiply each side by 62.

d)

Add 123 to each side.

26.

x + 12 = 20

a)

x = 32

b)

x = -32

c)

x = 8

d)

x = -8

27.

-4 + r = 10

a)

r = 14

b)

r = 6

c)

r = -6

d)

r = 40

28.

Solve the equation:
$3c=12$

a)

36

b)

4

c)

15

d)

9

29.

Solve the equation:
$-8x=-32$

a)

4

b)

40

c)

6

d)

5

30.

Solve the equation:
$\frac{x}{-2}=-4$

a)

22

b)

9

c)

8

d)

6

31.

Solve the equation:
$-5x=25$

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

32.

Solve the equation:
$-3=n-11$

a)

-14

b)

8

c)

-8

d)

14

33.

Solve the equation:
$\frac{x}{-3}=-4$

a)

x = 12

b)

x = 1

c)

x = -1

d)

x = -12

34.

Solve each equation:
$12=x-\left(-18\right)$

a)

6

b)

-6

c)

30

d)

-30

35.

Simplify 3/9

a)

1/3

b)

2/3

c)

1/9

d)

3/9

36.

Reduce the fraction:
15/30

a)

1/2

b)

5/10

c)

3/15

d)

3/15

37.

Reduce the fraction:
8/24

a)

1/12

b)

1/3

c)

2/12

d)

4/8

38.

Reduce: 6/15

a)

2/5

b)

3/5

c)

4/9

39.

To put a fraction in simplest form, you will need to do this to the numerator and denominator

a)

subtract both by same number

b)

divide both by the same number

c)

add the same number to both

d)

multiply both by the same number

40.

A fraction is in simplest form when the numerator and denominator

a)

are the same

b)

are both even

c)

are both odd

d)

have no common factor other than 1

41.

Simplify 3/9

a)

1/3

b)

2/3

c)

1/9

d)

3/9

42.

Which is NOT an equivalent

fraction to: 3/4

a)

75/100

b)

9/16

c)

9/12

d)

30/40

43.

Reduce the fraction:
15/30

a)

1/2

b)

5/10

c)

3/15

d)

3/15

44.

Simplify the fraction:
15/12

a)

4/3

b)

5/4

c)

5/3

d)

3

45.

Find an equivalent fraction:
24/6

a)

12/3

b)

12/4

c)

4/12

d)

3/12

46.

Reduce the fraction:
8/24

a)

1/12

b)

1/3

c)

2/12

d)

4/8

47.

Simplify 6/4.

a)

2/3

b)

4/6

c)

3/2

d)

1 3/2

48.

Find an equivalent fraction:
1/4

a)

2/4

b)

2/6

c)

2/8

d)

2/10

49.

Reduce:
25/75

a)

5/25

b)

5/15

c)

1/3

d)

1/25

50.

Which is NOT an equivalent fraction to:
1/5

a)

2/10

b)

5/25

c)

3/15

d)

4/25

51.

Reduce:
7/56

a)

1/7

b)

7/56

c)

1/6

d)

1/8

52.

Find an equivalent fraction:
6/48

a)

12/48

b)

3/22

c)

3/24

d)

1/7

53.

Reduce:
5/100

a)

1/25

b)

1/20

c)

1/30

d)

1/35

54.

Reduce 12/12

a)

12/12

b)

1/3

c)

1

d)

1/4

55.

Which fraction is equivalent to 1/2?

a)

10/19

b)

10/17

c)

10/11

d)

10/20

56.

Simplify 6/9.

a)

2/3

b)

3/3

c)

9/6

d)

1/9

57.

Reduce 4/6.

a)

2/3

b)

3/4

c)

1/3

d)

4/5

58.

What fraction of the circle is red?

a)

1/4

b)

2/4

c)

3/4

d)

4/4

59.

What fraction of the circle is red?

a)

1/2

b)

1/3

c)

2/3

d)

2/4

60.

Which picture shows 3/4?

a)

green

b)

blue

c)

purple

d)

pink

61.

What fraction of the rectangle is blue?

a)

1/6

b)

2/6

c)

6/2

d)

2/3

62.

What fraction of the rectangle is blue?

a)

1/3

b)

1/4

c)

3/4

d)

2/5

63.

Round 23.542 to the nearest tenth.

a)

23.5

b)

23.6

c)

23.54

d)

23

64.

Which of the following is 9.029 rounded to the nearest hundredth?

a)

9.0

b)

9.02

c)

9.03

d)

9.029

65.

Round 1.823 to the nearest whole number.

a)

1

b)

1.8

c)

2

d)

2.8

66.

Round 72.178 to the nearest hundredth.

a)

72.2

b)

72.18

c)

72

d)

73.18

67.

Which of the following is true?

a)

1.72 rounded to the nearest tenth is 1.7

b)

2.62 rounded to the nearest tenth is 2.7

c)

3.41 rounded to the nearest whole number is 4

d)

10.231 rounded to the nearest hundredth is 10.22

68.

Round the number to the nearest thousand.

a)

45,000

b)

44,000

c)

40,000

d)

46,000

69.

Round the number to the nearest

hundred thousand.

a)

500,000

b)

600,000

c)

400,000

d)

530,000

70.

Round the number to the nearest hundred.

a)

4,000

b)

4,300

c)

4,400

d)

4,500

Essentials of Math 1st Sem Final Review

Total questions: 70

Worksheet time: 18hrs 30mins

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