Free Printable Algebra Mixed Bag

1.

Convert the phrase into mathematical expression:

"the sum of a number and 13"

a)

x - 13

b)

x + 13

c)

13x

d)

x/13

2.

Convert the phrase into mathematical expression:

"3 more than twice a number"

a)

2x + 3

b)

2(x+3)

c)

(3+2)x

d)

3/2x

3.

Convert the phrase into mathematical expression:

"the difference between 23 and twice a number"

a)

2x - 23

b)

(23 - 2)x

c)

23 + 2x

d)

23 - 2x

4.

The price of a book and two pens is x dollars.

If the pen costs $0.35 , what is the cost of a book?

a)

x + 0.35

b)

x + 0.70

c)

x - 0.70

d)

x - 0.35

5.

What is the value of $x^2-3x-10$ when $x=5$ ?

a)

0

b)

2

c)

4

d)

-5

6.

4x + 3y - x =

a)

4x + 2y

b)

7xy

c)

6xy

d)

3x+3y

7.

simplify

$x^2-4x+3x^2+7+x=$

a)

$4x^2-4x+7$

b)

$3x^2-3x+7$

c)

$4x^2-3x+7$

d)

$3x^2-4x+7$

8.

What is the perimeter of the rectangle:

a)

2x + 7

b)

4x + 14

c)

2x + 14

d)

4x + 7

9.

What is the Perimeter?

a)

3x - 3 inches

b)

6x - 6 inches

c)

3x - 6 inches

d)

6x - 3 inches

10.

Find the perimeter of a square with side length of

x+2

a)

$4x+8$

b)

$2x+4$

c)

$x^2+4x+4$

d)

$4x^4+8$

11.

Find the perimeter of the triangle

a)

$4x+64$

b)

$4x^2+64$

c)

$3x+50$

d)

$3x^2+50$

12.

If $p=3,\ q=10$ , find $q^2-p^2$

a)

7

b)

1

c)

49

d)

91

13.

If a = 4 & b = 6, what is 3a + 5b?

a)

40

b)

42

c)

44

d)

46

14.

Work out the value of the following expressions when a = 3, b = 4 and c = 5.
2a² + c²

a)

22

b)

34

c)

68

d)

43

15.

Simplify
$9c+5z+2$
When c = -9 and z = 9

a)

128

b)

-124

c)

-34

16.

Simplify
$\frac{k}{-3}-3x$
When k = -9 and x = -5

a)

-18

b)

-12

c)

12

d)

18

17.

Variable

a)

The unknown number represented by a letter

b)

The number without a letter

c)

The number in the top right corner of a letter

d)

The number multiplied to a letter

18.

What is the Perimeter?

a)

3x - 3 inches

b)

6x - 6 inches

c)

3x - 6 inches

d)

6x - 3 inches

19.

Find the perimeter if
x = 3

a)

20 units

b)

25 units

c)

12 units

d)

19 units

20.

Write an expression, in simplest form, to represent the perimeter of the rectangle.

a)

$y^2-2$

b)

$y^4-4$

c)

2y - 2

d)

4y - 4

21.

Write an expression, in simplest form, to represent the perimeter of the triangle.

a)

3x + 10

b)

$x^3\ +10$

c)

3x + 24

d)

$x^3+24$

22.

The length of a rectangle is four times the width. Given that the area is 100 square inches, find the length of the rectangle.

a)

4

b)

5

c)

20

d)

50

23.

What is the area of the ractangle?

a)

$25x^{2\ }-\ 20x$

b)

$20x\ -\ 8$

c)

$10x\ -\ 4$

d)

44

24.

$\left(5x^3-3-3x^2\right)-\left(5-5x^3+2x^2\right)$

a)

$10x^3-5x^2-8$

b)

$10x^3-10x^2-8$

c)

$10x^3-10x^2-3$

d)

$10x^3-10x^2-7$

25.

Find the perimeter of a rectangle with a length of $5x-6$ and a width of $3x^2$

a)

$6x^2+10x-12$

b)

$6x^4+10x^2-12$

c)

$6x^2+10x$

d)

$6x^2+10x+12$

26.

Distribute and Combine Like Terms:

$-4\left(3x-7\right)+12$

(a)

27.

Distribute and Combine Like Terms:

$6+2\left(4x-5\right)$

(a)

28.

$2x^3(x^2−2x−3)$

a)

$2x^6-4x^3-6x^3$

b)

$2x^5−4x^4−6x^3$

c)

$-2x^5−4x^4−6x^3$

d)

$-2x^6−4x^3−6x^3$

29.

Translate the words into algebra.

"Difference between twice a number and 5"

a)

$2\left(x-5\right)$

b)

$5\left(x-2\right)$

c)

$2x-5$

d)

$5x-2$

30.

Translate the words into algebra (with no spaces in your answer)

"Twice the difference between 5 and a number"

a)

2-5x

b)

5x-2

c)

2(5-x)

d)

5(2-x)

31.

Translate into an algebraic expression: "2 more than 5 times a number"

a)

$5\left(2+x\right)$

b)

$2x+5$

c)

$5x+2$

d)

$2\left(5+x\right)$

32.

What operation does "quotient" imply?

a)

Subtraction

b)

Division

c)

Addition

d)

Multiplication

33.

Three times a number increased by nine

a)

3h-9

b)

3(h-9)

c)

3(h+9)

d)

3h+9

34.

What does "product" mean?

a)

Multiply

b)

Divide

c)

Add

d)

Subract

35.

Write an algebraic expression for:

three times a number plus 16

a)

3(16) + n

b)

16n + 3

c)

3n + 16

36.

Express using algebra

8 less than the product of 4 and a number

Let m represent the number

a)

8 − 4m

b)

8m − 4

c)

8m + 4

d)

4m − 8

37.

Translate: a number more than 12

a)

x ÷ 12

b)

12n

c)

12 + n

d)

12 - n

38.

Translate: two times the sum of a number and five

a)

2 + y + 5

b)

2y + 5

c)

2(y + 5)

d)

2 − y + 5

39.

Translate this into an algebraic expression:

"57 more than 3 times Kate's score"

Use the variable g to represent Kate's score.

a)

57g + 3

b)

3g + 57

c)

3g − 57

d)

57 + 3g

40.

Kalia buys 5 items that cost d dollars each. She gives the cashier $60. Which expression represents the change she should receive?

a)

60 − 5d

b)

60 − d

c)

60 + 5d

d)

5d − 60

41.

If chocolate chip cookies cost $3.00 per cookie plus $2.00 for boxing them up in a decorated box, what would the expression be?

Let "c" represent the number of cookies.

a)

3+2c

b)

3x+2

c)

3x+2x

d)

5x

42.

Six decreased by twice a number.

a)

2x-6

b)

6+2x

c)

6-x

d)

6-2x

43.

What word phrase can you use to represent "6a+3"?

There is more than one answer

a)

3 more than 6 times a number

b)

a number times the sum of 6 and 3

c)

3 more than the product of 6 and a number

d)

The sum of 6 times a number and 3

44.

Jane has 6 fewer hockey cards than Joe. Let "j" represent the number of hockey cards Joe has.

Which algebraic expression represents the number of hockey cards Jane has?

a)

6-j

b)

j-6

c)

6j

d)

6/j

45.

Edwina is 4 years younger than double Willemina's age. Let "w" represent Willemina's age. What algebraic expression represents Edwina's age?

a)

4+2w

b)

4-2w

c)

4w-2

d)

2w-4

Algebra Mixed Bag

Total questions: 45

Worksheet time: 2hrs 15mins

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