Free Printable Algebra I: Unit 1 Review

1.

What is the written algebraic expression:

The difference of a number (n) and 7

a)

n - 7

b)

7 - n

c)

7n

d)

n + 7

2.

What is the written algebraic expression:

four less than twice a number (n)

a)

$4-\frac{1}{2}x$

b)

2 (4 - x)

c)

2x - 4

d)

4 - 2x

3.

What is the written algebraic expression:

The quotient of 3 times a number (n) and 5

a)

$\frac{5}{3x}$

b)

$3x\cdot5$

c)

3(x + 5)

d)

$\frac{3x}{5}$

4.

What is the written algebraic expression:

One-fourth of a number squared

a)

$\frac{1}{4x^2}$

b)

$\frac{1}{4}\sqrt{x}$

c)

$\left(\frac{1}{4}x\right)^2$

d)

$\frac{1}{4}x^2$

5.

Which number class or classes does

5 + 3i belong to?

a)

Real

b)

Imaginary

c)

Complex

d)

Irrational

6.

Can a real number be written as a complex number?

a)

Yes

b)

No

7.

Which decribes a complex number?

a)

Only a Real Number

b)

Only an Imaginary Number

c)

Any Real or Imaginary Number

d)

A Number with both Real and Imaginary Parts

8.

Which number class or classes does 0 belong to?

a)

Whole

b)

Integers

c)

Natural

d)

Imaginary

9.

Which Property is being used?

8 + 5 = 5 + 8

a)

Distributive

b)

Associative

c)

Commutative

10.

Which Property is being used?

(5 + 3) + 4 = 5 + (3 + 4)

a)

Distributive

b)

Associative

c)

Commutative

11.

Check all of the Rational Numbers.

a)

$\sqrt{-49}$

b)

$\frac{1}{85}$

c)

-3

d)

$\sqrt{16}$

e)

$-\sqrt{36}$

12.

Check all of the Irrational Numbers.

a)

-2 + 3i

b)

7

c)

-7

d)

$\sqrt{7}$

e)

$\pi$

13.

Simplify.

-16 + 5

(a)

14.

Simplify.
$\left(12\right)\cdot\left(-3\right)$

(a)

15.

Simplify.

-4 + -15

(a)

16.

Simplify.
$\frac{-35}{-7}$

(a)

17.

Simplify.

-8(9)

(a)

18.

Simplify.

-21 - 12

(a)

19.

SImplify.
$-48\div8$

(a)

20.

Simplify.

(-5)(-4)(-2)

(a)

21.

Simplify.

-20 - ( - 4 )

(a)

22.

Evaluate.
$3^4-25\cdot3\ +12$

(a)

23.

Evaluate.
$15\div3-8\left(18-15\right)$

(a)

24.

Evaluate.
$\left(17-14\right)\cdot4^2$

(a)

25.

Evaluate. If x = -2 and z = 3

-4x - 5z

(a)

26.

Evaluate. If x = -2 and z = 3
$18+x^2-\left(z-x\right)$

(a)

27.

Evaluate. If x = -2 and z = 3

$\frac{xz-12}{\left(x+5\right)^2-2z}$

(a)

28.

Simplify.

5(2p - 3)

a)

10p - 3

b)

10p + 15

c)

10p - 15

d)

10p - 30

29.

SImplify.

(3m - 2)9

a)

-18 - 27m

b)

-27m - 18

c)

18 + 27m

d)

27m - 18

30.

Simplify.

-6(2d - 3p)

a)

12d - 18p

b)

-12d + 18p

c)

-12d + 27

d)

12d + 18p

31.

List the Integers
$\sqrt{73}$ falls between

a)

9 < x < 10

b)

7< x < 8

c)

8< x< 9

d)

6 < x < 7

32.

List the Integers
$\sqrt{17}$ falls between

a)

2 < x < 3

b)

3 < x < 4

c)

4 < x < 5

d)

1 < x < 2

33.

Simplify.

12xy + 5xy

a)

17x²y²

b)

17x + 17y

c)

17xy

d)

7xy

e)

already simplified

34.

Simplify.

5a²- 7a + 2

a)

-2a + 2

b)

-2a³ + 2

c)

25a² - 7a + 2

d)

12a + 2

e)

already simplified

35.

Simplify.

17 - (3x - 5)

a)

-3x + 22

b)

3x + 12

c)

12 - 3x

d)

22 + 3x

e)

already simplified

36.

Which step is incorrect

Problem: 3(x + y) - 7(x - 3y)

Step 1: 3x + 3y -7x - 21y

Step 2: -4x - 19y

a)

Step 1 Distributed the 3 wrong

b)

Step 2 combined x's wrong

c)

Step 1 Distributed the -7 wrong

d)

Step 2 combined y's wrong

37.

y² + 5y³ - 3y²

Who did the problem correctly?

Bob: -2y⁴+ 5y³

Bill: -2y² + 5y³

Bert: 5y³ - 2y²

a)

Bob

b)

Bill

c)

Bert

d)

Bill and Bert, but Bill's is preferred

e)

Bill and Bert, but Bert's is preferred

38.

11z+ 3(2z - 5)

What step should be done first?

a)

distribute everything by 3

b)

add by 3

c)

combine like terms

d)

distibute 3 to the parenthesis

39.

Simplify.

-3(5a - 2b) + 4b - 16

a)

-9a + 6b -16

b)

-15a + 2b -16

c)

-15a + 10b + 48

d)

-15a + 10b - 16

40.

Simplify.

-8h - 9k + 3h - 2k

a)

-5h - 7k

b)

5h - 11k

c)

-5h - 11k

d)

-5h²- 11k²

41.

Simplify.

$-\frac{1}{3}\left(12x-9\right)$

a)

4x + 3

b)

-4x + 3

c)

-36x + 27

d)

-36x - 27

42.

$\frac{3}{4}\left(8y\ -\ 12\right)$
Who is correct?
Kelly: 24y -36
Kim: 2y -3
Kevin: 6y - 9

a)

Kelly

b)

KIm

c)

Kevin

d)

They are all wrong.

43.

$True\ or\ False\ \ \ \frac{18x\ -12}{6}$ When simplifying here, you ONLY divide the first part (18x) by 6.

a)

True

b)

False. You must divide both parts by 6

c)

False. You must multiply each part by 6

44.

Write an algebraic expression for the total cost (C) involving pictures (p) that represents: If a studio charges a $30 sitting fee along with $10.50 for each picture purchased.

a)

C = 30p + 10.50

b)

p = 30 + 10.50C

c)

C = 30 + 10.50p

d)

p = 30C + 10.50

45.

Johnny washed cars and was given $20 for his labor plus $10 for every car washed. C= 10w + 20 represents this expression. Where C is total cost and w is the number of cars washed. How much did he make if he washed 7 cars?

(a)

Algebra I: Unit 1 Review

Total questions: 45

Worksheet time: 2hrs 30mins

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