Free Printable Algebra Unit 1 Review (Lab)

1.

Identify the property
a + b = b + a

a)

Identity of addtion

b)

commutative of addition

c)

associative of addition

d)

symmetric

2.

Identify the property
(a ⋅ b) ⋅ c = (c ⋅ b) ⋅ a

a)

commutative of multiplication

b)

identity of multiplication

c)

inverse of multiplication

d)

associative of multiplication

3.

Identify the property
a + 0 = a

a)

identity of addition

b)

identity of multiplication

c)

inverse of addtion

d)

multiplication of zero

4.

Pick the answer that is an example of the inverse property of multiplication

a)

5 ⋅ 0 = 5

b)

5 ⋅ 1/5 = 1

c)

5 - 5 = 0

d)

5 ⋅ 1 = 5

5.

Pick the answer that is an example of the identity property of addtion

a)

a + (-a) = 0

b)

1 + 1 = 2

c)

a + 0 = a

d)

a + b = b + a

6.

Identify the property
a(b + c) = ab + ac

a)

Associative of addtion

b)

Distributive

c)

Commutative of addition

d)

Inverse

7.

Identify the property
a + (-a) = 0

a)

Inverse of addition

b)

Identity of addtion

c)

associative of addition

d)

symmetric

8.

If you multiply a number and its multiplicative inverse, what do you get?

a)

0

b)

1

c)

Not enough information

d)

None of these

9.

Any number you multiply by zero is equal to zero.

a)

True

b)

False

10.

1 ^_x 12 =12

a)

Identity Property of Multiplication

b)

Commutative Property of Multiplication

c)

Multiplication Property of One

d)

Distributive Property

11.

(19 x 5) x 2 = 19 x (5 x 2)

a)

Associative Property of Multiplication

b)

Commutative Property of Multiplication

c)

Identity Property of Multiplication

d)

Associative Property of Addition

12.

What property is this?

a)

Multiplicative Inverse

b)

Multiplicative Identity

c)

Commutative

d)

Associative

13.

What property is this?
(n+13) + 4 = n + (13+4)

a)

Associative Property

b)

Commutative Property

c)

Additive Identity

d)

Distributive Property

14.

What is the value of the expression
x² + y² + x - y
when x = -1 and y = 3

a)

6

b)

8

c)

12

d)

16

15.

evaluate bc + 5a
when a = 3, b = 4, and c = -6

a)

9

b)

38

c)

-38

d)

-9

16.

evaluate bc + 5a
when a = 3, b = 4, and c = -6

a)

9

b)

38

c)

-38

d)

-9

17.

a²-b²Evaluate if a=4 and b =-2

a)

4

b)

20

c)

-4

d)

12

18.

Solve the following:
-12 ÷ 6 (-3) + 8

a)

-14

b)

2

c)

-22

d)

3

19.

Solve the following:
3 + 27 ÷ (-3)

a)

-6

b)

-10

c)

10

d)

-12

20.

What is 4x if x=5?

a)

20

b)

16

c)

9

d)

45

21.

What is 3x+(5+y) if x=2 and y=7?

a)

18

b)

28

c)

8

d)

3

22.

$10^3=$

a)

$10\times10\times10$

b)

$10\times3$

c)

$10+10+10$

d)

10,000

23.

$x^3\cdot x^4\ =$

a)

$x^{12\ }$

b)

$x^{-1}$

c)

$x^7$

d)

$x^{34}$

24.

$m^2\cdot m^6\cdot m=$

a)

$m^8$

b)

$m^{12}$

c)

$m^4$

d)

$m^9$

25.

$\left(x^7\right)^2$ =

a)

$x^{14}$

b)

$x^9$

c)

$x^5$

d)

$2x^7$

26.

a)

-30x¹¹

b)

-30x¹⁸

c)

-x¹¹

d)

-x¹⁸

27.

Is $\frac{77}{3}$ rational or irrational?

a)

Rational

b)

Irrational

28.

Is $10\times\sqrt{2}$ rational or irrational?

a)

Rational

b)

Irrational

29.

Is $.\overline{11}$ rational or irrational?

a)

Rational

b)

Irrational

30.

Is $-\sqrt{64}$ rational or irrational?

a)

Rational

b)

Irrational

31.

Is $2.2360697...$ rational or irrational?

a)

Rational

b)

Irrational

32.

Is $\sqrt{57}$ rational or irrational?

a)

Rational

b)

Irrational

33.

Is $-2\pi$ rational or irrational?

a)

Rational

b)

Irrational

34.

Select the only RATIONAL number:

a)

$\sqrt{2}$

b)

$\frac{\pi}{4}$

c)

$\pi$

d)

$\sqrt{49}$

35.

Select the ONLY irrational number:

a)

$\frac{\pi}{\pi}$

b)

$.1234567...$

c)

$3\times\sqrt{4}$

d)

$-.747474747474...$

36.

$5\ +\sqrt{36}\ simplifies\ to$

a)

Rational

b)

Irrational

37.

$\frac{1}{3}\ \cdot\ \sqrt{2}\ simplifies\ to\ a\$

a)

rational number

b)

Irrational Number

38.

$\frac{1}{3}\ +\ \frac{3}{5}$ simplifies to a

a)

Rational Number

b)

Irrational Number

39.

If a and b, represent rational numbers, then a + b will have _______________ sum.

a)

Rational

b)

Irrational

40.

$5\ +\sqrt{36}\ simplifies\ to$

a)

Rational

b)

Irrational

41.

Simplify

a)

9

b)

√9

c)

3√9

d)

can't simplify

42.

√144

a)

12

b)

4

c)

36

d)

6

43.

Simplify:
√200

a)

10√2

b)

2√10

c)

50√2

d)

2√50

44.

Simplify:
√45

a)

9√5

b)

3√5

c)

5√9

d)

3√15

45.

Simplify:
√96

a)

16√6

b)

6√16

c)

9√6

d)

4√6

46.

Simplify the following radical: √32

a)

3√2

b)

4√8

c)

16√2

d)

4√2

47.

√48

a)

4√2

b)

6√3

c)

4√3

d)

4√2

48.

In simplest radical form,
√75 is equivalent to

a)

25√3

b)

25√3

c)

5√3

d)

3√5

Algebra Unit 1 Review (Lab)

Total questions: 48

Worksheet time: 4hrs 0mins

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