Free Printable Essentials of Math 1st Semester Final Review

1.

What place value is the 2 in, in the number 624

a)

Ones

b)

Tens

c)

Hundreds

d)

Thousands

2.

What is the place value of the 8 in 872,549

a)

ten thousands

b)

thousands

c)

hundreds

d)

hundred thousands

3.

Which number below has a 9 in the hundred thousands place?

a)

123,456,789

b)

987,654,321

c)

999,888,777

d)

768,921,543

4.

In which number does the 7 represent 700?

a)

58, 372

b)

702,312

c)

45,787

d)

6,590

5.

7/8 - 7/12

a)

7/24

b)

1/4

c)

7/12

d)

4/24

6.

3/4 - 1/2

a)

1/3

b)

1/4

c)

2/3

d)

1/5

7.

$-\frac{5}{6}-\frac{7}{8}$

a)

$-1\ \frac{17}{24}$

b)

$-\frac{1}{4}$

c)

$\frac{1}{24}$

d)

$-1\ \frac{17}{48}$

8.

$\frac{2}{3}\ -\ \left(-\frac{4}{9}\right)$

a)

$\frac{2}{9}$

b)

$\frac{1}{9}$

c)

$1\ \ \frac{2}{9}$

d)

$1\ \frac{1}{9}$

9.

$\frac{7}{9}-\frac{5}{6}$

a)

$-\frac{3}{54}$

b)

$-\frac{1}{18}$

c)

$-\frac{2}{27}$

d)

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

10.

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

11.

What is the first step in solving this problem?
⅘ + ½ =

a)

Add the top parts of the fraction

b)

Rewrite the fractions in the simplest form.

c)

Find a common denominator.

d)

Make each fraction into an improper faction.

12.

a)

3/8

b)

3/16

c)

1/8

d)

2/8

13.

$\frac{1}{3\ }\times\ \frac{3}{5\ }=$

a)

$\frac{1}{5}$

b)

$\frac{3}{15}$

c)

$\frac{1}{5}$

14.

$\frac{4}{5}\times\frac{1}{4}=$

a)

$\frac{1}{3}$

b)

$\frac{1}{5}$

c)

$\frac{4}{20}$

15.

$\frac{8}{9}\times\frac{2}{8}=$

a)

$\frac{1}{3}$

b)

$\frac{2}{9}$

c)

$\frac{2}{8}$

16.

a)

$\frac{6}{40}$

b)

$\frac{3}{4}$

c)

$\frac{1}{2}$

d)

$\frac{12}{20}$

17.

Solve.

a)

$\frac{8}{9}$

b)

$\frac{1}{5}$

c)

1

d)

$\frac{4}{5}$

18.

What is the reciprocal for $\frac{5}{7}$ ?

(a)

19.

$Solve:\ \ \ \ \ \frac{8}{9}\div\frac{1}{3}\ =\$

a)

$\frac{24}{9}$

b)

$\frac{9}{27}$

c)

$\frac{9}{24}$

d)

$\frac{3}{4}$

20.

$Solve:\ \ \ \frac{4}{5}\div2\ =\$

a)

$\frac{8}{5}$

b)

$\frac{10}{4}$

c)

$\frac{4}{10}$

d)

$\frac{8}{10}$

21.

10-2 =

a)

12

b)

2

c)

8

d)

6

22.

20- 13=

a)

23

b)

17

c)

7

d)

8

23.

8- 8=

a)

1

b)

0

c)

5

d)

16

24.

13 - 2 x 4 =

a)

4

b)

24

c)

5

d)

44

25.

Solve the following:
(2 + 7 - 1) ÷ 2²

a)

16

b)

2

c)

72.25

d)

8.75

26.

Solve the following:
5 - 6² ÷ 4 - 3

a)

1

b)

-10.75

c)

-31

d)

-7

27.

Pick the correct order for Order of Operations

a)

Parentheses, Multiplication, Division, Addition, Exponents, Subtraction

b)

Exponents, Multiplication, Division, Addition, Parentheses, Subtraction

c)

Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

28.

40+(72÷9)÷8

a)

49

b)

25

c)

41

d)

15

29.

Evaluate 8a - b if a = 10 and b = 6

a)

74

b)

38

c)

1000

d)

9000

30.

Evaluate when a = 15:
2(a - 5) + 2

a)

22

b)

27

c)

14

d)

7

31.

Evaluate 2a + 4b
if a = 10 and b = 6

a)

20

b)

24

c)

44

d)

4

32.

Evaluate expression x=7, y=15, z=8

xz - 2y + 8

a)

30

b)

1553

c)

34

d)

15

33.

Evaluate expression x=7, y=15, z=8

y²+ 4 x 6

a)

9

b)

249

c)

1374

d)

15

34.

Translate this phrase into an algebraic expression.
the quotient of 4 and a number increased by 10.

a)

4 - n + 10

b)

4n - 10

c)

4/(n + 10)

d)

4 / n + 10

35.

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

36.

Translate this phrase into an algebraic expression.
2 times the difference of t and 11

a)

2t - 11

b)

2(t - 11)

c)

2(t / 11)

d)

2 x t - 11

37.

Translate to an algebraic expression.

6 minus the quotient of u and 2

a)

6 - (u ÷ 2)

b)

6 - 2u

c)

6 ÷ u + 2

d)

6 - (2 ÷ u)

38.

which of the following are like terms

a)

6x and 6y

b)

-3xy and 7yx

c)

5m and 9m

d)

2x²and -8x

39.

3(10 + 4n) - 5n

a)

30 - 1n

b)

37n

c)

7n + 30

d)

17n + 30

40.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

41.

Simplify:

3y + 1 - 4(y - 2) + 1

a)

-1y

b)

-7y

c)

-1y + 10

d)

7y + 10

42.

Simplify:

7v + 2 + 12 + 2v

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

43.

Tell whether the value of the variable is a solution to the equation:

3x=12; x=4

a)

yes

b)

no

44.

Tell whether the value of the variable is a solution to the equation.
$\frac{6}{y}=3$ ; y=2

a)

yes

b)

no

45.

Which is the solution to n-2=7

a)

n=7

b)

n=8

c)

n=9

d)

n=10

46.

Solve the equation:
-5x = 25

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

47.

The objective when solving an equation is to....

a)

isolate the variable.

b)

check the solution.

c)

guess and check.

d)

Combine Like Terms.

48.

19 + a = -50

a)

a = -950

b)

a = -69

c)

a = -31

d)

a = -50/19

49.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

50.

5. 6b = 30

a)

x = 36

b)

x = 24

c)

x = 180

d)

x = 5

51.

Reduce: 6/15

a)

2/5

b)

3/5

c)

4/9

52.

Reduce the fraction:
15/30

a)

1/2

b)

5/10

c)

3/15

d)

3/15

53.

Simplify the fraction:
15/12

a)

4/3

b)

5/4

c)

5/3

d)

3

54.

What fraction of the circle is red?

a)

1/4

b)

2/4

c)

3/4

d)

4/4

55.

What fraction of the circle is red?

a)

1/2

b)

1/3

c)

2/3

d)

2/4

56.

What fraction of the circle is green?

a)

1/4

b)

2/4

c)

2/3

d)

2/3

57.

What is the fraction of the shaded area?

a)

2/3

b)

3/5

c)

2/3

58.

Round 23.542 to the nearest tenth.

a)

23.5

b)

23.6

c)

23.54

d)

23

59.

Round 1.823 to the nearest whole number.

a)

1

b)

1.8

c)

2

d)

2.8

60.

Round 72.178 to the nearest hundredth.

a)

72.2

b)

72.18

c)

72

d)

73.18

61.

Which number is a factor of 10

a)

3

b)

4

c)

5

d)

8

62.

Which set lists all the factors of 24?

a)

1, 2, 3, 6, 7, 12, 24

b)

1, 2, 3, 4, 6, 8, 12, 24

c)

1, 2, 3, 4, 5, 6, 8, 12, 24

d)

1, 3, 4, 6, 8, 24

63.

Which lists all the factors of 20?

a)

1, 2, 4, 5, 10, 20

b)

1, 2, 5, 10, 20

c)

1, 4, 5, 20

d)

1, 2, 10, 20

Essentials of Math 1st Semester Final Review

Total questions: 63

Worksheet time: 3hrs 46mins

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