Free Printable Algebra: 1.1-4 Quiz Review

1.

A rational number can be written as a fraction.

a)

True

b)

False

2.

What is the definition of an integer

a)

All positive and negative whole numbers

b)

Decimals or fractions that terminate for repeat

c)

All positive whole numbers

d)

0

3.

The numbers 0, 1, 2, 3, ... are called

a)

whole numbers

b)

integers

c)

rational numbers

d)

natural numbers

4.

Numbers like -3, -2, -1, 0, 1, 2, 3 are called

a)

whole numbers

b)

integers

c)

rational numbers

d)

natural numbers

5.

0.8 is a rational number

a)

True

b)

False

6.

Classify the Number: -23

a)

Rational

b)

rational, integer

c)

integer

d)

rational, whole

7.

Where would you place -6?

a)

In the whole number circle because it's a whole number, integer, and rational number.

b)

In the integer circle because it's an integer and rational number only.

c)

In the rational circle because it's only a rational number.

d)

I'm not sure because I don't know what rational means.

8.

Which of the following does not represent a whole number?

a)

9

b)

6.0

c)

12/4

d)

-12/3

9.

Rachel states that -5.5 is an integer because it is negative.

Is she correct?

Why or why not?

a)

Yes, because all negatives are integers.

b)

Yes, because all integers have decimals.

c)

No, because integers do not have decimals.

d)

No, because integers cannot be negative.

10.

Classify the number 0 into all categories that apply

a)

whole only

b)

integer and whole

c)

rational and whole

d)

Whole, integer, and rational

11.

Identify the property
a + b = b + a

a)

Identity of addtion

b)

commutative of addition

c)

associative of addition

d)

symmetric

12.

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

a)

commutative of multiplication

b)

identity of multiplication

c)

inverse of multiplication

d)

associative of multiplication

13.

Identify the example of the

identity property of addition.

a)

a + (-a) = 0

b)

a + a = 2a

c)

a + 0 = a

d)

a + b = b + a

14.

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

a)

Associative of addtion

b)

Distributive

c)

Commutative of addition

d)

Inverse

15.

Identify this property.

For all real numbers, m = m.

a)

Symmetric

b)

Reflexive

c)

Transitive

d)

Substitution

16.

Identify this property.

If j = k, then k = j.

a)

Symmetric

b)

Reflexive

c)

Transitive

d)

Addition Property of Equality

17.

Identify this property.

If y = z and z = 4, then y = 4.

a)

Symmetric

b)

Transitive

c)

Reflexive

d)

Transgression

18.

Identify the example that represents the

Identity Property of Multiplication.

a)

-9 x 1 = -9

b)

-9 + 9 = 0

c)

9 * 0 = 0

d)

9 + 0 = 9

19.

What property is this?
1a = a

a)

Commutative Property of Multiplication

b)

Multiplicative Inverse

c)

Identity Property of Multiplication

d)

Distributive Property

20.

Identify this property.

a + b = b + a

a)

Commutative Property of Addition

b)

Associative Property of Addition

c)

Additive Identity

d)

Distributive

21.

Solve -2 = 4r + s for s.

a)

s = -2 + 4r

b)

s = 2 - 4r

c)

s = -2 - 4r

d)

s = 2 + 4r

22.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

23.

Solve for a: 12am = 4

a)

$a\ =\frac{1}{3m}$

b)

a = 4 -12m

c)

$a\ =\ \frac{12m}{4}$

d)

$a\ =\ 12m\ -\ 4$

24.

Solve for a: $u\ =\ \frac{\left(ak\right)}{b}$

a)

a = ukb

b)

a = uk + b

c)

$a\ =\ \frac{\left(ub\right)}{k}$

d)

$a\ =\ \frac{k}{ub}$

25.

$-6x\ +\ 14\ =\ 26$

x = (a)

26.

$6x\ +\ 5x\ -\ 8\ +\ 2\ =\ 5$

x = (a)

27.

$0.5\left(-6x\ +\ 8\right)\ -\ 2x\ =\ 3x\ +\ 10$

x = (a)

(You may give your answer as a fraction or decimal.)

28.

$-15\ +\ 4x\ -\ 2\left(x\ +\ 4\right)\ =\ 6x\ -\ 15$

x = (a)

29.

If a=3 and b=4, solve for c using the following equation:

$c=\sqrt[]{a^2+b^2}$

a)

c=7

b)

$c=\sqrt[]{5}$

c)

c= $\sqrt[]{7}$

d)

c=5

30.

Solve for x.

$\frac{3}{4}\left(x-4\right)=-\frac{1}{4}\left(x-16\right)$

x = (a)

31.

Solve for x.

$\frac{4}{9}\left(x+36\right)=-\frac{1}{3}\left(2x-18\right)$

x = (a)

32.

Evaluate:

cb² + 4
when b = 3 and c = -2

Be sure to use GEMDAS and take care of exponents before multiplying!

a)

-32

b)

40

c)

-14

d)

22

33.

Evaluate:

$\left(y+z\right)^2$

when y = -4 and z = -3

(a)

34.

Evaluate:

$x^2-z$

when x = 1 and z = -1

Be very careful with the negatives!

(a)

Algebra: 1.1-4 Quiz Review

Total questions: 34

Worksheet time: 1hrs 14mins

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