Free Printable Algebra 1 - Unit 1: Basics of Algebra Topics

1.

What is the topic for Day 1 in Algebra 1 Unit 1?

a)

Properties of Real Numbers & Absolute Value

b)

Solving Linear Equations

c)

Graphing Quadratic Functions

d)

Factoring Polynomials

2.

What is the topic for Day 2 in Algebra 1 Unit 1?

a)

Operations with Signed Numbers & Exponents

b)

Linear Equations and Inequalities

c)

Factoring Polynomials

d)

Quadratic Functions

3.

What is the topic for Day 3 in Algebra 1 Unit 1?

a)

Order of Operations & Evaluating Expressions

b)

Solving Linear Equations

c)

Graphing Functions

d)

Properties of Real Numbers

4.

What is the topic for Day 4 in Algebra 1 Unit 1?

a)

Simplifying Perfect Squares

b)

Solving Linear Equations

c)

Graphing Inequalities

d)

Factoring Polynomials

5.

What is the topic for Day 5 in Algebra 1 Unit 1?

a)

Simplifying Radicals That Are Not Perfect Squares

b)

Solving Linear Equations

c)

Graphing Linear Functions

d)

Factoring Quadratic Expressions

6.

What is the topic for Day 6 in Algebra 1 Unit 1?

a)

Review

b)

Equations and Inequalities

c)

Linear Functions

d)

Polynomials

7.

Fill in the blank: Real Numbers can be classified into two main categories: _______ and _______.

a)

Rational Numbers, Irrational Numbers

b)

Whole Numbers, Natural Numbers

c)

Prime Numbers, Composite Numbers

d)

Even Numbers, Odd Numbers

8.

Fill in the blank: Rational Numbers include ________, ________, and ________.

a)

Integers, Whole Numbers, Natural (Counting) Numbers

b)

Prime Numbers, Composite Numbers, Odd Numbers

c)

Irrational Numbers, Imaginary Numbers, Complex Numbers

d)

Fractions, Decimals, Percents

9.

Fill in the blank: Integers include ________ and ________.

a)

Whole Numbers, Negative Numbers

b)

Fractions, Decimals

c)

Prime Numbers, Composite Numbers

d)

Rational Numbers, Irrational Numbers

10.

Fill in the blank: Whole Numbers include ________.

a)

Natural (Counting) Numbers and 0

b)

Only negative numbers

c)

Fractions and decimals

d)

Prime numbers only

11.

Fill in the blank: Natural (Counting) Numbers include ________.

a)

1, 2, 3, ...

b)

0, 1, 2, ...

c)

-1, 0, 1, ...

d)

2, 4, 6, ...

12.

Fill in the blank: Irrational Numbers are real numbers that cannot be written as a ratio of two integers. Examples include ________, ________, and ________.

a)

π (pi), √2, e

b)

2, 4, 6

c)

1/2, 3/4, 5/6

d)

-3, 0, 7

13.

Fill in the blank: In the Venn diagram, Rational Numbers contain ________, which contain ________, which contain ________.

a)

Integers, Whole Numbers, Natural (Counting) Numbers

b)

Natural (Counting) Numbers, Whole Numbers, Integers

c)

Whole Numbers, Integers, Natural (Counting) Numbers

d)

Integers, Natural (Counting) Numbers, Whole Numbers

14.

Commutative Property: COmmutative CO = ________________________________

a)

Change Order

b)

Change Operation

c)

Change Output

d)

Change Object

15.

Associative Property: ASSOciative ASSO = ________________________________ Summary: If you change which 2 of the 3 numbers are in ( ) when all are being added or multiplied, you will get the same answer. Examples: Non-examples: (1 + 3) + 5 = (3 + 1) + 5, (4 · 5) + 6 = 4 · (5 + 6)

a)

Associate or Grouping

b)

Addition or Subtraction

c)

Multiplication or Division

d)

Commutative or Distributive

16.

Distributive Property: Distribute: ____________________________________________________________ Summary: The number that is outside and touching the ( ) is given to all terms inside the ( ). Examples: Non-examples: 3 + (2 + 8) = 5 + 11, (4 + 5) – 2 = –8 + –10

a)

a(b + c) = ab + ac

b)

a(b + c) = ab + c

c)

a(b + c) = a + b + c

d)

a(b + c) = ab - ac

17.

The number that gets added to anything without changing its identity is _______!

a)

0

b)

1

c)

-1

d)

10

18.

The number that gets multiplied to anything without changing its identity is _______!

a)

1

b)

0

c)

2

d)

-1

19.

A number “__________________” of the one given. When the inverse is added to the given number, they cancel out to make 0.

a)

opposite

b)

equal

c)

double

d)

square

20.

Absolute Value is the ______________________ a number is away from 0.

a)

distance

b)

color

c)

shape

d)

weight

21.

|5| = ________

a)

5

b)

-5

c)

0

d)

10

22.

|2| = ________

a)

2

b)

-2

c)

0

d)

1

23.

|-7| = ________

a)

7

b)

-7

c)

0

d)

-1

24.

|-3| = ________

a)

3

b)

-3

c)

0

d)

-1

25.

|4| = ________

a)

4

b)

-4

c)

0

d)

8

26.

|-23| = ________

a)

23

b)

-23

c)

0

d)

-1

27.

|0| = ________

a)

0

b)

1

c)

-1

d)

10

28.

|-2| = ________

a)

2

b)

-2

c)

0

d)

-1

29.

|65| = ________

a)

65

b)

-65

c)

0

d)

1

30.

Fill in the blank with <, >, or =: |−9| _____ |9|

a)

=

b)

<

c)

>

d)

≤

31.

Fill in the blank with <, >, or =: |−8| _____ −8

a)

>

b)

<

c)

=

d)

≤

32.

Fill in the blank with <, >, or =: |−3| _____ 3

a)

=

b)

<

c)

>

d)

≠

33.

|3| + |−7| = ________

a)

10

b)

4

c)

-10

d)

-4

34.

|−2| − |−1| = ________

a)

1

b)

-1

c)

0

d)

2

35.

Does an expression with an absolute value always have to give you a positive answer? Consider the following: |−12| = ________

a)

12

b)

-12

c)

0

d)

-1

36.

Change subtraction to addition by distributing the negative! Remember the rules: 1) If the signs are the same, add and keep the sign. 2) If the signs are different, subtract and take the sign of the biggest number. 1. –3 + 19 = ______

a)

16

b)

-22

c)

-16

d)

22

37.

Change subtraction to addition by distributing the negative! Remember the rules: 1) If the signs are the same, add and keep the sign. 2) If the signs are different, subtract and take the sign of the biggest number. 2. –4 – (–6) = ______

a)

2

b)

-10

c)

-2

d)

10

38.

3. –8 + 21 = ______

a)

13

b)

-29

c)

-13

d)

8

39.

4. (–3) – (–4) = ______

a)

1

b)

-7

c)

7

d)

-1

40.

Change subtraction to addition by distributing the negative! Remember the rules: 1) If the signs are the same, add and keep the sign. 2) If the signs are different, subtract and take the sign of the biggest number. 5. 7 – 18 = ______

a)

-11

b)

25

c)

-25

d)

11

41.

Change subtraction to addition by distributing the negative! 6. –9 – 24 = ______

a)

-33

b)

15

c)

-15

d)

33

42.

A diver is 10 meters below the ocean surface. What is the new depth if the diver descends 2 meters lower?

a)

-12 meters

b)

-8 meters

c)

-10 meters

d)

-2 meters

43.

The temperature is –6 degrees Fahrenheit. Find the new temperature if it rises 10 degrees.

a)

4 degrees Fahrenheit

b)

–16 degrees Fahrenheit

c)

–4 degrees Fahrenheit

d)

6 degrees Fahrenheit

44.

A credit card balance is $452.37. Find the new balance after the following things happen:$ 89.32 worth of merchandise is returned, a purchase of $34.76 is made, and a payment of$ 200 is applied.

a)

$306.93

b)

$312.45

c)

$289.81

d)

$340.00

45.

Remember the rules: 1) Multiply or divide the numbers 2) If the signs are the same, the answer is ______________________ 3) If the signs are different, the answer is ______________________

a)

2) positive 3) negative

b)

2) negative 3) positive

c)

2) negative 3) negative

d)

2) positive 3) positive

46.

10. (–3)(7) =

a)

-21

b)

21

c)

-10

d)

10

47.

11. (–5)(–6) =

a)

30

b)

-30

c)

11

d)

-1

48.

12. –3(6) =

a)

-18

b)

18

c)

-9

d)

0

49.

13. 144/12 =

a)

12

b)

10

c)

14

d)

16

50.

14. –9/–3 =

a)

3

b)

-3

c)

-6

d)

6

51.

12/–4 =

a)

-3

b)

3

c)

-4

d)

4

52.

Label the parts of the exponent: $3^5$ (with arrow pointing to 3 and 5)

a)

3: base, 5: exponent

b)

3: exponent, 5: base

c)

3: product, 5: base

d)

3: base, 5: product

53.

$5^3$ =

a)

125

b)

15

c)

25

d)

100

54.

17. $10^5$ =

a)

100000

b)

10000

c)

50000

d)

1000

55.

$(1/3)^2$ =

a)

1/9

b)

1/6

c)

2/9

d)

1/3

56.

19. $(.5)^3$ =

a)

0.125

b)

0.25

c)

0.05

d)

0.375

57.

20. (–5)^2 =

a)

25

b)

-25

c)

10

d)

0

58.

21. $-5^2$ =

a)

-25

b)

25

c)

-10

d)

5

59.

$-2^4$ =

a)

-16

b)

16

c)

-8

d)

8

60.

23. $(–2)^4$ =

a)

16

b)

-16

c)

8

d)

-8

61.

Anything to the ________________ power will ALWAYS = ____________________!!!

a)

1

b)

0

c)

2

d)

-1

62.

$4^0$ = _______

a)

1

b)

0

c)

4

d)

-1

63.

25. ( $(–3)^0$ ) = _______

a)

1

b)

0

c)

-3

d)

3

64.

26. – $-3^0$ = _______

a)

-1

b)

0

c)

1

d)

3

65.

Practice: Write each of the following as an expression with a positive exponent AND evaluate it! 27. $(–6)^{–3}$ = _______

a)

$\frac{1}{(-6)^3} = -\frac{1}{216}$

b)

$(-6)^3$ = -216

c)

$-1/(-6)^3 = 1/216$

d)

$(-6)^{-3}$ = -1/216

66.

Practice: Write each of the following as an expression with a positive exponent AND evaluate it! 28. $-5^{-1}$ = _______

a)

-1/5

b)

1/5

c)

-5

d)

5

67.

Practice: Write each of the following as an expression with a positive exponent AND evaluate it! 29. $\frac{4^2}{2^{-3}}$ = _______

a)

128

b)

16

c)

32

d)

64

68.

Write each of the following as an expression with a positive exponent AND evaluate it! 30. $9^{-2}$ = _______

a)

$\frac{1}{9^2}$ = $\frac{1}{81}$

b)

$9^2 = 81$

c)

$-9^2$ = -81

d)

$\frac{1}{9^{-2}} = \frac{1}{81}$

69.

Practice: Write each of the following as an expression with a positive exponent AND evaluate it! 31. $1/(6^{-3})$ = _______

a)

216

b)

-216

c)

1/216

d)

36

70.

Write each of the following as an expression with a positive exponent AND evaluate it! $\frac{4^{-2}}{2^{-6}}$ = _______

a)

4

b)

1/4

c)

16

d)

8

71.

The following phrase often helps us remember the pyramid: P__________________ E__________________ M_______ D__________ A__________ S______________. Fill in the blanks for the order of operations mnemonic (PEMDAS).

a)

Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

b)

Parentheses, Exponents, Division, Multiplication, Addition, Subtraction

c)

Parentheses, Exponents, Multiplication, Addition, Division, Subtraction

d)

Parentheses, Exponents, Addition, Multiplication, Division, Subtraction

72.

Solve using the order of operations: $(3 - 2)^2 - 6 · 4 ÷ 2$ = _______

a)

-10

b)

2

c)

-8

d)

-12

73.

Solve using the order of operations: $12 ÷ 3 · 2 + (–1 + 5)^2$ = _______

a)

20

b)

16

c)

12

d)

24

74.

Solve using the order of operations: $20 ÷ (4 - 2) + 5^2$ = _______

a)

27

b)

25

c)

30

d)

35

75.

Solve using the order of operations: 8 - 4 · 2(3 - 6) + 1 = _______

a)

33

b)

-15

c)

21

d)

17

76.

Solve using the order of operations: 5 - (5 - 5) - -5 ÷ 5 = _______

a)

6

b)

0

c)

1

d)

-1

77.

Solve using the order of operations: $(-4^2) / (6 - 2 + 4)$ = _______

a)

-2

b)

2

c)

-4

d)

4

78.

Solve using the order of operations: $(7^2 - 5^2) / (2 + 3 \cdot 2 + 4)$ = _______

a)

2

b)

4

c)

6

d)

8

79.

Solve using the order of operations: $-4 - (2 - 3)^3 + 9$ / $-3^2 ÷ -9 · 6$ = _______

a)

-2

b)

2

c)

-6

d)

1

80.

____________________________ – a “phrase” in which at least one operation needs to be performed.

a)

expression

b)

variable

c)

constant

d)

statement

81.

Evaluate the following expression with these values: a = -8, b = 6, d = -3, x = 4, y = 5, and z = -1. a²d = ________

a)

-384

b)

192

c)

-96

d)

384

82.

Evaluate the following expression with these values: a = -8, b = 6, d = -3, x = 4, y = 5, and z = -1. a² + b² = ________

a)

100

b)

64

c)

36

d)

80

83.

Evaluate the following expression with these values: a = -8, b = 6, d = -3, x = 4, y = 5, and z = -1. b² – y² = ________

a)

11

b)

-1

c)

5

d)

0

84.

Evaluate the following expression with these values: a = -8, b = 6, d = -3, x = 4, y = 5, and z = -1. |d| – (–y) = ________

a)

8

b)

2

c)

-8

d)

-2

85.

Evaluate the following expression with these values: a = -8, b = 6, d = -3, x = 4, y = 5, and z = -1. 9a – a² = ________

a)

-136

b)

-80

c)

64

d)

-72

86.

Evaluate the following expression with these values: a = -8, b = 6, d = -3, x = 4, y = 5, and z = -1. x² + 3x + 5 = ________

a)

33

b)

27

c)

25

d)

21

87.

Evaluate the following expression with these values: a = -8, b = 6, d = -3, x = 4, y = 5, and z = -1. a + b² – d² = ________

a)

43

b)

-7

c)

25

d)

-19

88.

Evaluate the following expression with these values: a = -8, b = 6, d = -3, x = 4, y = 5, and z = -1. y² – 4y + (a – b) = ________

a)

-9

b)

-5

c)

3

d)

-1

Algebra 1 - Unit 1: Basics of Algebra Topics

Total questions: 88

Worksheet time: 44mins

Similar Resources on Wayground