Download Write a numerical expression for the verbal phrase

Pre-Algebra Practice Exam Semester One








Remember! Take a deep breath and relax while you go through the problems
Do not assume on the exam that if the answer is there it is automatically correct, check your work.
Don’t forget PEMDAS
Watch those darn negative signs!
The procedure has not changed just because the problem is in the form of a story problem. Create
an equation by breaking the problem into the bits and pieces.
For that matter, the procedure hasn’t changed just because I use a fraction in an algebraic
expression. I still multiply through and I still isolate the variable.
Use the Glencoe Online Resources for practice in taking multiple choice tests. Log on to
http://glencoe.mcgraw-hill.com/sites/0078885159/ and click on the Chapter Tests and Self-Check
Quizzes. Personal Tutor and Vocabulary Review are also great helps.
When reviewing problems from the textbook, the Hotmath Homework Help link found in the
Glencoe Online Resources is another great help. Here you will find step-by-step solutions, with
hints, to ALL odd-numbered problems in the text.
Note!! A (***) indicates a repeating decimal
1. Write a numerical expression for the verbal phrase; the total number of gumballs if Joe has
nineteen and Sue has thirteen. 1.1
19 + 13
2. Evaluate each expression: 1.1
4[(12 – 4) + 2]
40
3. 2 x 9 ÷ 3
6
4. 15 – 5
6–4
5
5. 16 ÷ 4 + 15
19
6. Translate into an algebraic expression; 1.2
1) the quotient of a number and three.
2) the difference of six and a number
3) 12 less than a number
4) a number less three
n÷3
6-n
n – 12
n–3
7. Amusement park Gold Reef City charges $25.00 for the first ticket and $7.00 for each additional
ticket. Write an expression used to calculate the total price to enter the park. Then calculate the
total for 13 people to have fun at the park. 1.2
25 + 7t
13 people would cost $109.00
8. Find each sum or difference and write in simplest form. 3.6
9 1
 
10 2

Solutions:
9 1 5
  
10 2  5 
9
5 14



10 10 10
4
2
or 1  1
10
5
3 5


4 16
34 5
  

4  4  16
12 5
 

16 16
7
16
1
7
9. 7  2 
2
10
11
4  3
   
15  12 
7 3
 
15 6
7  2 35
    
15  2  6  5 
14 15


30 30
29
30
3
1
5 
16
12
4  4   3  5 
       
15  4   12  5 
16  15 
   
60  60 
31
60
11 1
 
14 6
Solutions:
4
4
5
6
5
48
13
21
10. Express the following ordered pairs as a table & give the domain and range 1.4
{(1,4), (2,8), (3,12), (4,16)}
X
1
2
3
4
Y
4
8
12
16
D = {1, 2, 3, 4} R = {4, 8, 12, 16}
11. If one roll of quarters contains 40 quarters, then write an equation that can be used to find the
number of quarters, q, in any number of rolls, r, of quarters.
r = 40q
12. Simplify these algebraic expressions: 4.4
7y = 56
-3r = 12
n/-2 = -30
 3r 12

3 3
7 y 56

7
7
y=8
(2)
r = -4
n
 (30)(2)
2
n = 60
n
0
8
 21 p  231
 21 p  231

 21
 21
 n 
(8)
  (0)(8)
 8
n=0
p = 11
13. Number Sense: What type of relationship is shown on a graph that shows the following values?
1.6
As x increases, y decreases :
negative
As x decreases, y decreases :
positive
14. Solve using the distributive property. 4.3
Sebastien had a bake sale to raise money for the French Club and made $16.25. If he sold 25 rice
krispie bars for 25 cents and 20 muffins, how much did he charge for the muffins?
(25)(.25) + 20x = $16.25
$6.25 + 20x = $16.25
-6.25
-6.25
20x = $10.00
÷ 20
÷ 20
x = $.50
15. Write an integer for each situation 2.1
4 inches less than normal
-4
14 degrees above normal
+ 14
a loss of 15 yards
- 15
16. Select the appropriate symbol to make the statements true, <, >, = 2.1
8
3
-3
0
-7
-3
-6
-6
<
<
<
=
17. Evaluate each expression 2.1
| -5 |
| 12 |
5
12
| -4 | - | -10 |
| 20 | - | 10 |
-6
10
if a = 4, b = 3, c = -3
| ac | - | b |
|(4) (-3)| - 3, 12-3 = 9
18. Find each product. Write in simplest form. 3.3
 3  1 
  
 4  4 
Solutions:
3
16
 2  3 
   
 4  12 
 20
3 

 100 
 6 1

48
8
 p  1 
19.   
 4  q 
 60  6

100 10
140 1

420 3
1 
2 
 4x 
 st  3 
  2 
 9u  s 
2 x 
3st
t

2
3us
9us
 2x  1

2x
4x 2
Solutions:
p
4q
  14   10 



 15  28 
1
20. Evaluate each expression if a= -2 ½, b= 3 , c = 2 ¾. Write the product in simplest form.
3
ab
Solutions:
1  1 

  2  3  
2  3 

  5  10 

  
 2  3 
 50
2
1
 8  8
6
6
3
1

  4 b
4

1  1 

  4  3  
4  3 

  17  10 

  
 4  3 
 170
2
1
 14  14
12
12
6
21. Evaluate each expression if a = 9, b = 4, c = 11 : 1.2
1
1 abc
9
1  1  3 
 1 
1   2  3  2  
2  3  4 
 9 
 10   5  10  11 
 
   
 9  2  3  4 
100
25
  50  110  5500
 25
 25



216
54
 18  12  216
2c – 5
17
ab
6
6
45 - bc
3
4b + 3c – 5a
4
22. Find the sum 2.2
-4 + (-4) =
5 + (-4) =
-34 + 17 =
-10 + 8 + 10 =
-1
-17
8
-8
23. Use the distributive property to write each expression as an equivalent expression. Then
evaluate. 4.1
4(10 + 3)
(-10 + 7) 3
4(10) + 4(3)
40 + 12 = 52
-10(3) + 7 (3)
-30 + 21 = -9
24. -8 (u – 2)
(b – 1) -4
-8u – (-16)
-8u + 16
-4b – (-4)
-4b + 4
(-8)(70 – 3)
(1 -75) -2
-8(70) – (3)(-8)
-560 – (-24)
-560 + 24 = - 536
50(x + 1)
1(-2) – 75 (-2)
(-2) – (-150)
-2 + 150 = 148
-18 (-r – 5)
50x +50
-18r – (-18)(5)
-18r + 90
25. Find the difference 2.3
-25 – (-30)
-10 – (5)
-22 – 33
8 – (-3)
5
-15
-55
11
26. if a = 6, b = 3, c = -1
a–9
6 – 9 = -3
c–b
-1 – 3 = -4
b–a–c
3 – 6 – (-1) = -2
c–b+a
-1 – 3 + 6 = 2
27. Find each product 2.4
0 (-5)
-1 ( -40)
-8 (-2)(-1)
0
40
-16
28. (-5) (9v)
24
(-27y) (-z)
29g (2)(-2)(0)(-3)
27yz
0
-45v
(- 4)(-6)
(-20m)(- 2)(-3n)
-120mn
29. Name the property shown by the following statements; 1.3
56 + 6 = 6 + 56
Commutative Property of Addition
(x + 4) + y = x + (4 + y)
Associative Property of Addition
(1) (mp) = mp
Multiplicative Identity
(7n) (0) = 0
Multiplicative Property of Zero
30. Find each quotient and write in simplest form. 3.4
1 1
 
2 10
3 3
 

8 9
5
31.
0
1 1/8
2x 1
 
3 9
ab b
 
8 a
6x
17

18
2 4
3 

9 27
0
-21 ¾
3st 4t
 
r
r
 2x 4
 
y
y
a²/8
3s/4
-x/2
32. Evaluate each expression 2.5
If x = -4 and y = -8
6x ÷ y
-4x
2
2x
y
2xy
( y)
6(- 4) ÷ -8 = 3
-4 (- 4) = 8
2
2(- 4) = 1
-8
2(-4)(-8) = -8
-8
33. Write an expression for each problem and then solve
Sebastien wants to buy an Ipod for $205.00 and he makes $5.00/week in allowance. If he already
has $45.00, how long will it take him to save up the money to buy the Ipod?
5x + 45 = $205.00
5x = $160.00
x = 32 weeks
let x = number of weeks
34. The temperature dropped 24 degrees over the course of 6 hours. What was the “mean” hourly
drop?
24 ÷ 6 = an average of 4 degrees per hour
35. What is the mean number of video games the kids have?
Sebastien had 16 video games
Vanessa had 21 video games
16 + 21 + 24 + 20 = 20.25 games
Zachary had 24 video games
Liesel had 20 video games
36. Write each fraction as a decimal 3.1
3
5
1
8
0.6
9
11
0.125
0.81
-5
12
7
9
-0.416
0.7
1
3
-2
3
0.3
- 0.
37. Select the appropriate symbol to make the statements true, <, >, = 3.1
- 13
2
-6.4
<
6
7
5
6
-0.75
>
- 15
20
=
-3
8
- 0.40
>
38. Arrange the following in order of least to greatest. 3.1
- 8 - 8 - 0.80***
9 , 10,
-8 - 0.80
9,
-8
10
39. List which of the following numbers ( -3, -1.60, 0, 45, ¾, 2.56***, 777) are 3.2
A natural number:
45, 777
A whole number:
An Integer:
0, 45, 777
-3, 0, 45, 777
A rational number: -3, -1.60, 0, 45, ¾, 2.56***, 777
40. What would be an example of an irrational number?
Pi, 1.313313331…
41. Solve each equation and check your solution: 5.2
14m = 18 + 12m
-2h -16 =3h – 6
2y + 7 = y
14m = 18 + 12m
-12m =
-12m
2m = 18
÷2 = ÷2
m=9
-2h -16 =3h – 6
+2h
= +2h
-16 = 5h -6
+6 = +6
-10 = 5h
÷5=÷5
2=h
h = -2
2y + 7 = y
-7 = y -7
2y = y -7
-y = -y
y = -7
14(9) = 18 + 12(9)
126 = 18 + 108
126 = 126
-2(-2) -16 = {3(-2)} -6
4 – 16 = - 6 – (6)
-12 = -12
2 (-7) + 7 =-7
-14 + 7 = -7
-7 = -7
42. Translate the verbal expression into an algebraic expression, then simplify: 1.3
The sum of three times a number and three added to ten times a number.
3n + 3 + 10n
13n + 3
The product of eight and four times a number multiplied by six.
6(8 x 4n)
6(32n) = 192n
43. Copy and complete a function table. Then state the domain and range of the function. 1.5
Each ticket to the Spring Musical costs $8.00
Number of Tickets Total Cost ($)
Input
Output
answers: 32
56
72
96
D: {4, 7, 9, 12} R: {32, 56, 72, 96}
44. Write each number as a fraction. 3.2
-7 ½
3¼
2¾
-15/2
13/4
11/4
45. Find each quotient 2.5
-21 ÷ 21
80 ÷ (- 4)
-64 ÷ (- 8)
-1
-20
8
46. -100
-5
20
-49 ÷ 7
-7
90
-6
-72
9
215
5
-15
-8
43
47. Find the multiplicative inverse of each number: 3.4
- 6/7
10/20
-33
4¼
- 7/6 or – 1 1/6
20/10 or 2
- 1/33
4/17
48. Simplify these algebraic expressions: 4.2 & 4.3
h + 5h – 3 – 5h
9 – t -3(t + 3)
-11x + 4 +8x -4 + 3x
b – 2(b – 2)
6h – 3 – 5h
6h – 5h -3 = h – 3
9 – t -3t – 9
-4t +9 – 9 = -4t
-11x + 4 + 11x -4
-11x + 11x + 4 – 4 = 0
b -2b – 4
-b – 4
49. z + 5 = 12
-5 = -5
z=7
r – 16 = -16
+16 = +16
r=0
50. Simplify each expression: 1.3
b(4 x 6) =
24b
y – (-12) = 0
y + 12 = 0
-12
-12
y = -12
p – 21 = -2
+21 +21
p = 19
25 + (15 + s) =
40 + s
(6 x r) x 5 =
30r
51. Simplify these algebraic expressions: 4.5
52. 5d – 9 = -24
+9 = +9
5d = - 15
÷5=÷5
d = -3
w/2 – 16 = 5
+ 16 = + 16
w/2 = 21
(2)(w/2) = 21(2)
w = 42
n/5 + 4 = -11
- 4 = -4
n/5 = -15
(5)(n/5) = (-15)(5)
n = -65
53. Find each sum or difference: chapter 0.3
25.72 + 18.67 =
25.54 + 36.7 =
44.39
4865.7 + 705.76 =
62.24
5571.46
54. 458.07 – 67.75 =
73.2 – 42.86 =
390.32
30.34
852 – 469.72 =
382.28
55. Find each sum or difference and write in simplest form. 3.5
5/10 – 3/10
3/10
2/9 - 6/9
2/10 = 1/5
-4/9
-7/9 -4/9
-8 7/10 + 2
-11/.9 = -1 2/9
-6 2/5
56. Find the product or quotient: 0.3
6.2 x 3.9 =
24.18
57. 92.4 ÷ 5.5
16.8
49 x 3.7 =
181.3
382.1565 ÷ 36.57 =
10.45
6.535 x 3.7 =
24.1795
6482.84 ÷ 46.22
140.2604933
58. Make the following conversions: 0.6
1 yd = ____ft.
4 ft = ____in.
3 ft.
____mm = 34 cm
48 in.
340mm
59. Number Sense: 0.2
The product of 2 consecutive even integers is 1088. What are the integers?
This is meant to be a Guess and Check problem. The answer is 32 & 24
60. Find the perimeter and area for each figure described. 5.1
A square with a side = 5 cm
A rectangle with side a = 6ft and b = 9 ft
P = 5 + 5 + 5 + 5 = 20 cm
P = 6 + 6 + 9 + 9 = 30 ft
A = 5 x 5 = 25 cm²
A = 6 x 9 = 54 ft²
61. A Right triangle where a is the height = 14, b is the base = 48, c = 50 cm
P = 14 + 48 + 50 = 112 cm
A = ½ (48) (14) = 24 x 14 = 336 cm²
62. Find the perimeter and area for each figure described. 5.1
A triangle where a is the height = 17, b is the base = 21, c = 23 ft
P = 17 + 21 + 23 = 61 ft
A = ½ (21) (17) = 10.5 x 17 = 178.5
63. Find the missing dimension: 5.1
A right triangle where a is the height is = 36 cm, b is the base = ?, c = 60cm and the area = 864cm²
What is the measurement of the base?
½ (b) x 36 = 864 cm²
÷ 36 = ÷ 36
(1/2)b = 24
2/1) (1/2)b = 24 (2/1)
b = 48 cm
64. Find the missing dimension: 5.1
A rectangle has side a = 14 ft and area = 68 ft², what is the measure of side b?
A = (side a) (side b)
68 ft² = 14b
÷ 14 = ÷ 14
b = 17 ft
65. Define a variable and write an equation to find each number. Then solve. 5.2
Four times a number is 21 more than the number. What is the number
Let x = a number
4x = 21 + x
-x =
-x
3x = 21
÷3 = ÷3
x=7
4 (7) = 21 + 7
28 = 21 + 7
28 = 28
66. Define a variable and write an equation to find each number. Then solve. 5.2
Eight less than three times a number = that number. What is the number
3x – 8 = x
+8 = +8
3x = 8 + x
-x = -x
2x = 8
x=4
Let x = a number
3(4) – 8 = 4
12 – 8 = 4
4=4
67. Do Example 2, numbers 20-26 on page 28 in the Textbook 1.4
L
(2,4)
N
(2,1)
Q
(3,7)
S
68. Scatter Plots: 1.6
(5,0)
Complete #11 on page 44 and
Refer to the answers in the back of the book
69. Do the following problems in the textbook for 2.6 and 2.7, see your homework, quizzes or tests
for additional problems.
Page 98, numbers 20, 22, 24, 26 (only name the coordinate)
20. II
22. I
24. III
26. None
70. Page 105, numbers 10, 11, 12
10. Translation 5 units to the right
11. reflection over the x-axis
12. Translation 5 units to the left and 4 units down