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Pre Algebra Mid Semester Exam

Total questions: 85

Worksheet time: 4hrs 52mins

Name
Class
Date
1.

What would be the first step to solving the equation 4x + 3 = 14?

(a)  

2.

Solve for "x" ?
x-9=15

(a)  

3.

Solve for " x" ?
4x-6=30

(a)  

4.

u/4=8

(a)  

5.

-6n - 8 = 22

(a)  

6.

Solve.  5n - 4 = 21

(a)  

7.

64 ÷ (-8)

(a)  

8.

Answer the following: -12 - (-8)

(a)  

9.

4 + (-4)

(a)  

10.

Evaluate the following expression:
x2 + 5 - x when x = 5

(a)  

11.

Evaluate each expression if x = 14 and y = 6


(x + y) ÷ 2 = (a)  

12.

Evaluate: 25

(a)  

13.

Evaluate 8a - b     if a = 10   and   b = 6

(a)  

14.

Compare these Integers using the symbols:
<  >   =
| -45 |   (a)    | -34 |

15.

Put these integers in order from least to greatest.

(a)  

16.

Nicole bowled 7 games last weekend. Her scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Nicole's scores?

(a)  

17.

Hannah wants to find the mean of these numbers:
5,11,2,12,4,2
What is it?

(a)  

18.

Find the median of these numbers:
4,2,7,4,3

(a)  

19.

3, 4, 5, 5, 5, 6,7

The mode of these numbers is...

(a)  

20.

At Donald's Donuts the number of donut holes in a bag can vary. Help Donald find the mode.
12,10,10,10,13,12,11,13,10

(a)  

21.

Find the mean:
28, 18, 19, 18, 17

(a)  

22.

How do you write an ordered pair?

(a)  

23.

Name the quadrant where POINT C is located. 

(a)  

24.

Give the coordinates for POINT H.

(a)  

25.

Give the coordinates of Point F

(a)  

26.

What is the area of the rectangle?

(a)  

27.

Find the area of the triangle.

(a)  

28.

What are the coefficients in the expression 8x - 3 + 12xy?

(a)  

29.

Identify the constants in the expression:

7-5x+1

(a)  

30.

Which expression contains exactly 3 terms?

(a)  

31.

Combine like terms to simplify: a + 2a + 7

(a)  

32.

4 is the (a)   of 4n.

33.

Simplify: 6x + 12x + 3 y

(a)  

34.

Simplify: 7(2a + b)

(a)  

35.

How many terms are in this expression?

(a)  

36.

Simplify the expression: 2x + 1 + 7x 

(a)  

37.

Simplify by combining like terms:
4x2 - 3x + 11 -2x

(a)  

38.

Simplify the following expression:
-7x +5 (1 - 8x)

(a)  

39.

Solve for x:
8x - 10 = -34

(a)  

40.

Solve   -3x + 5 = -16

(a)  

41.

Solve the inequality.
x + 5 ≤ 13

(a)  

42.

Which is the solution of 
-6a ≥ -36

(a)  

43.

Solve:
-8(x - 3) - 4x < 108

(a)  

44.

Solve the inequality
x - 2 < 5

(a)  

45.

Solve the inequality
12 ≥ 6w

(a)  

46.

Use a number tree to find the prime factorization of 32

(a)  

47.

Use a number tree to find the prime factorization of 48

(a)  

48.

Ratios can be represented as...

(Select ALL answers that apply!)

(a)  

49.

What is the ratio of total shapes to circles?

(a)  

50.

A bag of marbles comes with 3 blue marbles, 2 red marbles, and 5 yellow marbles. What is the ratio of red to yellow?

(a)  

51.

Simplify the ratio of
35 : 14

(a)  

52.

-6k + 7k=

(a)  

53.

Calculate 25% of 80

(a)  

54.

What is 20% of 65?

(a)  

55.

What is 75% of 240

(a)  

56.

120% as a decimal:

(a)  

57.

6% as a decimal:  

(a)  

58.

12.7% as a decimal

(a)  

59.

What is 0.64 as a fraction in simplest form? 

(a)  

60.

A pair of boots are $94.99. They are 25% off. What is the discount?

(a)  

61.

A television that costs $360.99 is on sale for 75% off. Find the sale price of the television.

(a)  

62.

A television that costs $360.99 is on sale for 75% off. Find the sale price of the television.

(a)  

63.

Find the cost of a comic book for $3.95 with a markup of 20%

(a)  

64.

Find the price of a book for $90.50 with 4% tax

(a)  

65.

Your food bill at a restaurant was $23.50. You leave a 15% tip. What is the total cost of your meal?

(a)  

66.

Reduce, or simplify

the rational expression.

(a)  

67.

Evaluate using the quotient rule: 

(a)  

68.

You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?

(a)  

69.

Which is the better buy? A 12-pack of Pepsi for $3.50 or a 6-pack for $1.80?

(a)  

70.

You're throwing a party, and you ordered 15 pizzas for your guests. Your total came to $97.50. What was your unit cost per pizza?

(a)  

71.

What is the quotient of these fractions in lowest terms?

(a)  

72.

23÷25\frac{2}{3}\div\frac{2}{5}  

(a)  

73.

Jan ran 5 miles in 48 minutes. What was her time per mile?

(a)  

74.

 A store pays $1.50 for a bag of candy.  If the store wants to mark-up the price 60%, for how much will the store sell the bag of candy?



(a)  

75.

American Eagle sells jeans for $49.99 after marking up the price by $13.50. What is the cost to American Eagle for the jeans?

(a)  

76.

-r -10r

(a)  

77.

Which expression can help you find the perimeter of the rectangle?

(a)  

78.

Which expression can you use to help you find the perimeter of this rectangle?

(a)  

79.

Expand and simplify 4(7x + 3).

(a)  

80.

Write the following phrase as an expression: The sum of 29 and a number h

(a)  

81.

Write the following phrase as an expression: The quotient of a number y and 2

(a)  

82.

Write the following phrase as an expression: The product of 11 and a number h

(a)  

83.

-2 + -6

(a)  

84.

Solve the equation.

(a)  

85.

Solve for x:

(a)