Free Printable Unit 1 Review of Algebra Basics

1.

When you multiply a positive number by a negative number you will get _________________

a)

a positive answer

b)

a negative answer

c)

depends which number is bigger

d)

zero

2.

$2x+4x$

a)

$14x+9$

b)

$-9x+6$

c)

$-13x+6$

d)

$6x$

3.

$3\left(k-6\right)$

a)

$3k-18$

b)

$-36+18k$

c)

$-28+18k$

d)

$-k-1$

4.

What is another way to write:

2 - (- 2)

a)

2 - 2

b)

2 + 2

c)

2 + -2

d)

2 - +2

5.

Evaluate:
$3-\left(z+x\right)$ ; use x=2, z=-3

a)

4

b)

1

c)

8

d)

-2

6.

what is the point for the star?

a)

(-1, 2)

b)

(1, 2)

c)

(-1, -2)

d)

(2, 1)

7.

What quadrant is (3, -5) in?

a)

quadrant 1

b)

quadrant 2

c)

quadrant 3

d)

quadrant 4

8.

Find the product. Simplify answer if possible.

a)

2/14

b)

1/49

c)

2/7

d)

1/14

9.

Multiply the following numbers. Simplify if possible.

a)

6

b)

4 / 45

c)

20

d)

7 /45

10.

-24+11=

a)

-13

b)

13

c)

31

d)

52

11.

Where is the point on the coordinate plane?

a)

(-6, 3)

b)

(-3, 6)

c)

(-6, -3)

d)

(3, 6)

12.

If b = 4 and c = 5, what is the value of bc + b - c?

a)

20

b)

16

c)

18

d)

19

13.

Evaluate the expression. Let a = 4
5a + 7a - 8

a)

48

b)

28

c)

40

d)

35

14.

What are the coordinates of point H?

a)

(-4, 2)

b)

(4, -2)

c)

(-2, 4)

d)

(4, 4)

15.

What is the ordered pair for point K?

a)

(-3, -3)

b)

(3, -3)

c)

(-4, -4)

d)

(5, 8)

16.

What is the ordered pair for point E?

a)

(3, 0)

b)

(0,4)

c)

(0, -3)

d)

(-3, 0)

17.

On what axis would I expect to find point F?

a)

y-axis

b)

x-axis

18.

Which axis would I find point A?

a)

x-axis

b)

y-axis

19.

The vertical number line is called the __________?

a)

x-coordinate

b)

x-axis

c)

y-axis

d)

y-coordinate

20.

The horizontal number line is called the _____________?

a)

y-axis

b)

y-coordinate

c)

x-axis

d)

x-coordinate

21.

What is the origin?

a)

The point furthest away from the center of the coordinate plane

b)

The four regions of a coordinate plane

c)

the x-axis

d)

Where the x-axis and y-axis intersect

22.

What is the ordered pair of point L?

a)

(4, 4)

b)

(4, 2)

c)

(-4, -4)

d)

(2, -4)

23.

What is an ordered pair?

a)

a set of numbers used to locate a point on the coordinate plane

b)

the vertical number line

c)

a number that corresponds to a number on the y-axis

d)

a point where the numbers intersect

24.

Select the expression.

a)

3+5=8

b)

3+5

c)

3+5>7

d)

3+5<10

25.

Select the equation.

a)

6+x=10

b)

6+x

c)

6+x<10

d)

6+x>10

26.

A variable can be defined as?

a)

a letter that represents an unknown number

b)

a number

c)

the number in front of a letter

d)

part of an expression

27.

Determine the variable in the expression.

7^2+x-5

a)

7

b)

2

c)

x

d)

5

28.

A constant can be defined as?

a)

a letter that represents an unknown number

b)

a number

c)

the number in front of a letter

d)

part of an expression

29.

A coefficient can be defined as?

a)

a letter that represents an unknown number

b)

a number

c)

the number in front of a letter

d)

part of an expression

30.

Determine the coefficient in the expression.

7x+5^3

a)

7

b)

x

c)

5

d)

3

31.

Coefficients show what type of operative relationship?

HINT: 7y tells you to do what?

a)

add

b)

subtract

c)

multiply

d)

divide

32.

Determine the number of terms in the expression.

7x+5^3-1

a)

1

b)

2

c)

3

d)

4

33.

Identify a constant in the expression
3x + 2y + 7

a)

3

b)

2y

c)

7

d)

2

34.

How many terms are in the expression
3a + 2b + c + 100

a)

3

b)

4

c)

5

d)

6

35.

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

a)

b + c + a = a + b + c

b)

a(b + c) = ab + ac

c)

a ⋅ b = b⋅ a

d)

a ⋅ 1 = a

36.

Identify the property
a + b = b + a

a)

Identity of addtion

b)

commutative of addition

c)

associative of addition

d)

symmetric

37.

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

a)

Associative Property

b)

Commutative Property

c)

Additive Identity

d)

Distributive Property

38.

What property is this?
9(b + 0.5) = 9b + 4.5

a)

Commutative

b)

Associative

c)

Distributive

d)

Additive Inverse

39.

What property is this?
77+(8+3) = (8+3)+77

a)

Commutative

b)

Associative

c)

Additive Identity

d)

Distributive

40.

Which of the following is an example of the ASSOCIATIVE PROPERTY OF ADDITION?

a)

11 + (8 + 3) = 11 + (3 + 8)

b)

(20 + 0.5) + 3 = 20 + (0.5 + 3)

c)

5(7 + 2) = 5(7) + 5(2)

d)

3 x (5 x 4) = (3 x 5) x 4

41.

Fill in the blank to properly solve the DISTRIBUTIVE PROPERTY:
7(12 - 4) = 84 - _

a)

3

b)

4

c)

7

d)

28

42.

What is the best classification for this number?
π

a)

integer

b)

rational

c)

irrational

d)

imaginary

43.

What is the best classification for this number? -4

a)

natural

b)

whole

c)

integer

d)

rational

44.

What is the best classification for this number? 0

a)

natural

b)

whole

c)

integer

d)

rational

45.

What is the best classification for this number? 8.14

a)

whole

b)

integer

c)

rational

d)

irrational

46.

Classify the number (choose all that apply):

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

irrational number

47.

Classify the number (choose all that apply): 0

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

irrational number

48.

An example of an integer is...

a)

9.1

b)

8/9

c)

-9

d)

-2.3

49.

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

a)

whole numbers

b)

integers

c)

rational numbers

d)

whole, integer, rational

50.

What is the best classification for this number? 10

a)

whole, integer, rational

b)

whole

c)

integer

d)

rational

51.

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

a)

whole numbers

b)

integers

c)

rational numbers

d)

All of the above

52.

2(3v - 8)

a)

6v-16

b)

6v-8

c)

6v-6

d)

6v+8

53.

What is the simplified version of this expression? $-4(8r+3)$

a)

$-32r-12$

b)

$32r-12$

c)

$-32r+12$

d)

$32r+12$

54.

What is the simplified version of this expression? $-3\left(8x-12\right)$

a)

$-24x+36$

b)

$24x+36$

c)

$-24x+32$

d)

$24x-32$

55.

$Simplify\ \ \ \ \ \ \ \ \frac{2x\ +\ 8}{3}$

a)

$\frac{2x}{3}\ +\ \frac{8}{3}$

b)

$\frac{2x}{3}-\frac{8}{3}$

56.

$Simplify\ \ \ \ \ \ \frac{4x\ -\ 10}{2}$

(a)

57.

$Simplify\ \ \ \ \ \frac{-18x\ -\ 9}{3}$

(a)

Unit 1 Review of Algebra Basics

Total questions: 57

Worksheet time: 2hrs 31mins

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