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Worksheets

Pre-Algebra 1st Semester Review

Total questions: 55

Worksheet time: 2hrs 50mins

Name
Class
Date
1.
Which of the following numbers is irrational?
a)
√8
b)
¾
c)
2
d)
-1.325
2.
Which of the following is rational?
a)
.211232112421125. . . .
b)
π
c)
√25
d)
√12
3.
Convert 0.444... to a fraction.
a)
4/10
b)
4.4/99
c)
4/9
d)
2/5
4.
The √40 is between which two consecutive whole numbers?
a)
7 & 8
b)
4 & 5
c)
5 & 6
d)
6 & 7
5.
Round to the Nearest Tenth: √28
a)
5.6
b)
5.9
c)
5.3
d)
8
6.
How many states are there?
a)
52
b)
53
c)
49
d)
50
7.
Find the best estimate for √18 .
Look at the number line.
a)
4.2
b)
4.4
c)
5.1
d)
4
8.
Which of the following is a perfect square?
a)
24
b)
48
c)
81
d)
110
9.
Express the fraction 7/9 as a decimal.
a)
0.8
b)
0.88888...
c)
0.7
d)
0.777777...
10.
Write 0.35 as a fraction in simplest form.
a)
35/100
b)
3.5/10
c)
7/20
d)
3/10
11.

An algebraic expression that contains only one term is called

a)

Monomial

b)

Binomial

c)

Trinomial

d)

None of the above

12.

Which sneaker company is second to Nike in sales?

a)

Puma

b)

Converse

c)

Adidas

d)

Under Armour

13.

5x + 6y5x\ +\ 6y   is a 

a)

Monomial

b)

Binomial

c)

Trinomial

d)

None of the above

14.

In which of the following, the two expressions are like terms?

a)

7x , 7y7x\ ,\ 7y

b)


7x, 9x7x,\ 9x

c)

7x, 7x27x,\ 7x^2

d)

7x,7x, 7xy7xy

15.

The product of 4x4x  and  00  is


a)

4x

b)

4

c)

0

d)

None of the above

16.

−2(7 − n) + 4

a)

-n + 18

b)

-2n - 10

c)

-n + 9

d)

2n - 10

17.

−8(−5b + 7) + 5b

a)

45b − 56

b)

-35b + 7

c)

-45b + 56

d)

10b - 1

18.

Factor. 6a + 20

a)

2(a + 10)

b)

6(a + 14)

c)

2(3a + 10)

d)

3(2a + 5)

19.

addition, subtraction, multiplication, division

a)

operations

b)

solution

c)

algebraic expression

d)

equation

20.

A letter used to represent a number value in an expression or an equation.

a)

equation

b)

operations

c)

variable

d)

algebraic expression

21.
The thirteen stripes on the flag of the USA represent
a)
the thirteen countries the USA has purchased land from.
b)
the thirteen battles of the Revolutionary War.
c)
the thirteen original colonies.
d)
the thirteen founding fathers.
22.

The value of a variable that makes an equation true.

a)

operation

b)

expression

c)

factor

d)

solution

23.

What is a Coefficient?

a)

Is a number used to multiply a variable.

b)

A symbol for a value we don’t know yet.

c)

A fixed value.

d)

Is one side of the equal sign.

24.

What is Greater than or equal to?

a)

Says that two things are equal.

b)

When two numbers are not equal.

c)

The same as or more than.

d)

The same as or few than.

25.

What is an Inequality?

a)

Says that two things are equal.

b)

When two numbers are not equal.

c)

The same as or more than.

d)

The same as or few than.

26.

What is Inverse Operations?

a)

The result of adding two or more numbers.

b)

The result of subtracting one number from another.

c)

Says that two things are equal.

d)

The operation that reverses the effect of another operation.

27.

Simplify the expression:

6x + 7 + x

a)

7x+7

b)

14x

c)

13x

d)

5x+7

28.

Simplify the expression:

-6x + 5 + 4x - 10

a)

-7x

b)

-2x-5

c)

7x

d)

10x+15

29.

Simplify the expression:

6x + 8 + 4x + 7

a)

-7x

b)

-2x-5

c)

7x

d)

10x+15

30.

Simplify the expression:

6x + 4x - 7x + 13 + 5

a)

21x

b)

35x

c)

3x+18

d)

17x+18

31.
Which property of real numbers justifies the work shown from Step 1 to Step 2?
a)
Distributive Property
b)
Commutative Property
c)
Identity Property
d)
Associative Property
32.
What movie says "Hakuna Matata"?
a)
Lilo and Stitch
b)
Toy Story
c)
The Jungle Book
d)
The Lion King
33.

Find the error in the problem below

19 - 2k = 3k - 1

+3k +3k

19 + 1k = -1

-19 -19

k = -20

a)

They should have divided by 1 for the last step

b)

They should add 19 instead of subtracting 19

c)

I can not find an error

d)

Instead of adding 3k they should subtract 3k

34.
Solve:
3x + 15 = 3(x + 5)
a)
No Solution
b)
x = 15
c)
Infinitely Many Solutions
d)
x = 0
35.

Solve:

2(2x + 3) = -6(x + 9)

a)

x = 1.2

b)

x = 6

c)

x = -6

d)

x = 7.5

36.

Solve: 5x + 34 = -2(-7x + 1)

a)

x = -4

b)

x = 9

c)

x = 4

d)

x = 36/19

37.
Solve the inequality.
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8 
d)
x ≤ 18 
38.
Match:
You must be at least 48 inches tall to ride the bumper cars.
a)
h < 48
b)
h > 48
c)
h ≤ 48
d)
h ≥ 48
39.
You can spend no more than 20 dollars on your mom's birthday present.
a)
x > 20
b)
x < 20
c)
x ≤ 20
d)
x ≥ 20
40.
Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.
a)
7x + 35 = 63
b)
7x = 63
c)
7x - 35 = 63
d)
35x + 7 = 63
41.

WHAT POWERS DOES JACK JACK HAVE

a)

LAZER

b)

FIRE

c)

INVISIBILITY

d)

ALL OF THE ABOVE

42.

What value of x makes this equation true? 10x + 9 = 4x - 9

a)

0

b)

3

c)

-3

d)

-18

43.

What is the rule for two-step inequalities when multiplying or dividing by a negative coefficient.

a)

No change

b)

Flip the sign

c)

What's an inequality?

d)

Get rid of the negative sign

44.
Andrew solved the equation 3x + 5 = 4x + 2.5 and found the answer to be x = 2.5.  Amanda says that he is wrong and the answer is x = 3.5.  which statement below is true? 
a)
Amanda is correct the answer is        x = 3.5
b)
Andrew is correct the answer is      x = 2.5 
c)
neither of the students are correct 
d)
both students are correct 
45.
Solve the equation and identify which value correctly represents x.
12.9x + 10 = 34 + 9.9x
a)
10
b)
8
c)
-5
d)
4
46.
Solve the equation and identify which value correctly represents c.
35c + 25 = 40c
a)
5
b)
10
c)
15
d)
3
47.
a)
x ≥ 2
b)
x ≥ -2
c)
x ≤ 2
d)
x ≤ -2
48.
a)
x > 1
b)
x > -1
c)
x < 1
d)
x < -1
49.
a)
x < 1
b)
x < -1
c)
x > 1
d)
x > -1
50.
Solve   -3x + 5 = -16
a)
9
b)
8
c)
-7
d)
7
51.

Which is heavier? A pound of feather or a pound of rocks?

a)

A pound of feather

b)

A pound of rocks

c)

Neither. Both weigh a pound!

52.

I travel around the world, but only stay in one corner

a)

a pilot

b)

an airplane

c)

a stamp

53.
Which comic book character was not in 'THE AVENGERS'
a)
Iron Man
b)
Captain American
c)
Spiderman
d)
The Hulk
54.
The name of the action movie about the Thunder God who is banished by his father, Odin, to earth to live among humans.
a)
Captain America
b)
Thor
c)
Iron Man
d)
Wolverine
55.

In a standard deck of playing cards, how many are hearts?

a)

52

b)

4

c)

13

d)

12