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WorksheetsMath 1403X Unit 1 Review-Final
Total questions: 53
Worksheet time: 3hrs 41mins
Name
Class
Date
1.
Simplify by combining like terms:
5a + 2b - 3a + 4
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
2.
3(2c - 5)
a)
6c - 15
b)
6c + 15
c)
6c + 15
d)
-6c - 15
3.
What is the coefficient of x2 ?
3x + 8x2
3x + 8x2
a)
3
b)
11
c)
-11
d)
8
4.
A number with no variable attached is called a _____.
a)
coefficient
b)
constant
c)
variable
d)
term
5.
How many terms are in the following expression?
7y + 3 - 7k -2
7y + 3 - 7k -2
a)
2
b)
7
c)
4
d)
3
6.
Simplify the following expression:
-10x + 15 - 3x + 2
-10x + 15 - 3x + 2
a)
13x2 + 17
b)
-13x2 + 13
c)
-13x + 17
d)
-7x + 17
7.
2xy + 7x + 6xy + 3xy +(-3x)
a)
4x + 11xy
b)
10x + 11xy
c)
-10x + 8xy
d)
-4x - 11xy
8.
Did Chang simplify the following expression correctly?
3(x + 2) + 1
3x + 6 + 1
3x + 7
3(x + 2) + 1
3x + 6 + 1
3x + 7
a)
Yes
b)
No
c)
Probably
d)
Probably Not
9.
Simplify the following expression:
(5x4 - 3x + 8x2) - (8x4 - 7x2)
a)
13x4 - 3x + 1x2
b)
-3x4 + 15x2 - 3x
c)
-3x4 - 1x2 + 3x
d)
13x4 + 15x2 - 3x
10.
Evaluate when a = 15:
2(a - 5) + 2
2(a - 5) + 2
a)
22
b)
27
c)
14
d)
7
11.
Evaluate
r3 + 2s2
if r = -3 and s = 4
r3 + 2s2
if r = -3 and s = 4
a)
59
b)
5
c)
37
d)
91
12.
(x8)(x-5)
a)
x-40
b)
x-13
c)
x13
d)
x3
13.
(85)3
a)
88
b)
815
c)
82
d)
1/82
14.
70
a)
71
b)
01
c)
1
d)
7
15.
(3x)0
a)
(3x)1
b)
01
c)
1
d)
3x
16.
Simplify
(2a2b4z)(6a3b2z5)
(2a2b4z)(6a3b2z5)
a)
8a5b6z6
b)
12a6b8z5
c)
12a5b6z6
d)
8a6b8z5
17.
Simplify
(3x3y5)4
(3x3y5)4
a)
3x12y20
b)
81x12y20
c)
12x12y20
d)
81x7y9
18.
According to exponent rules, when we multiply the expressions we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
19.
According to exponent rules, when we divide the expressions we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
20.
Evaluate the expression using the quotient rule.
a)
x13
b)
x5
c)
x36
d)
x-5
21.
According to exponent rules, when we raise the power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
22.
Solve (hint: there's more than 1 law you must obey)
a)
4k4
b)
4k-8
c)
4 / k8
23.
Simplify
a)
x28y12 / x2y
b)
x28y12 / x8y4
c)
x20y8
24.
Solve:
6(5x - 3) + 2 = 14
6(5x - 3) + 2 = 14
a)
2
b)
.5
c)
-1
d)
1
25.
Solve:
2(2x + 3) = -6(x + 9)
2(2x + 3) = -6(x + 9)
a)
1.2
b)
6
c)
-6
d)
7.5
26.
2/3(5x + 6) = 34
a)
51
b)
45
c)
8
d)
9
27.
x/4- 3 = 9
a)
48
b)
24
c)
3
d)
36
28.
.
a)
Ben
b)
Jenny
c)
Ben and Jenny
d)
Neither
29.
Solve the literal equation for the given variable.
a)
2A/h
b)
2/(h)
c)
2Ah
d)
Ah/2
30.
Solve for a.
a)
a = pw
b)
a = p/w
c)
a = w/p
d)
a = w + p
31.
Solve:
C = 2πr, for r
C = 2πr, for r
a)
C/(2π) = r
b)
C + 2π = r
c)
C - 2π = r
d)
2πC = r
32.
pV = nRT
solve for R
solve for R
a)
R= pV/nT
b)
R= p/n + V/T
c)
R= pV - nT
d)
R= (pV-n)/T
33.
Sue owes $60 in interest on a loan of $500. If the loan was borrowed for 3 years, find the simple interest rate.
Formula I = prt
Formula I = prt
a)
15%
b)
4%
c)
40%
d)
8%
34.
This rectangle has a perimeter of 34 cm., find the width if the lengh is 6cm.
Formula: P = 2l + 2w
Formula: P = 2l + 2w
a)
11 cm.
b)
13 cm.
c)
22 cm.
d)
5.6 cm.
35.
Given a rectangle with an area of 77ft2. Find the length if the width is 5.5 ft.
Formula: A = lw
Formula: A = lw
a)
14 ft.
b)
14 sq. ft.
c)
28 ft.
d)
7 ft.
36.
A = {1, 3, 5, 7, 9}
B = {2, 3, 5, 7}
What is A ∩ B ?
B = {2, 3, 5, 7}
What is A ∩ B ?
a)
{3, 5, 7}
b)
{2, 3, 5, 7}
c)
{ }
d)
{1, 2, 3, 5, 7, 9}
37.
Express the following in Interval Notation
{ x | -8 ≤ x < 8 }
{ x | -8 ≤ x < 8 }
a)
[-8, 8]
b)
[-8,8)
c)
(-8, 8]
d)
(-8, 8)
38.
What interval notation does the number line graph represent?
a)
[∞, -5)
b)
(∞, -5)
c)
[-5, ∞)
d)
(-5, ∞)
39.
What inequality is graphed?
a)
x > 2 and x < 4
b)
2 ≤ x ≤ 4
c)
x > 2 or x < 4
d)
2 ≥ x ≥ 4
40.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
41.
Write an expression.
Anita needs at least an 90 grade (g) on her test to get an A in math class.
Anita needs at least an 90 grade (g) on her test to get an A in math class.
a)
g ≤ 90
b)
g ≥ 90
c)
g < 90
d)
g > 90
42.
Solve the inequality.
30 + n ≥ 50
30 + n ≥ 50
a)
x > 50
b)
x > 80
c)
x < 30
d)
x > 20
43.
Could x = - 5 be a solution to the inequality -6 < 3x + 9 < 21?
a)
yes
b)
no
44.
Which is the solution of 2(h-4) ≤ 6(h-8)?
a)
10 ≤ h
b)
h ≤ 10
c)
h ≥ 12
d)
12 ≥ h
45.
Write an inequality for Graph 3.
a)
x ≤ -2 AND x > 5
b)
x ≤ -2 OR x > 5
c)
x ≥ -2 OR x < 5
d)
-2 ≤ x < 5
46.
The image represents which of the following?
a)
intersection, "and"
b)
union, "or"
c)
intersection, "or"
d)
union, "and"
47.
The image represents which of the following?
a)
intersection, "and"
b)
intersection, "or"
c)
union, "and"
d)
union, "or"
48.
Evaluate each expression.
| x + 9 | = -5
| x + 9 | = -5
a)
-14
b)
-4
c)
{-14, -4}
d)
no solution
49.
−2|−2r − 4| = -12
a)
{5,1}
b)
{-5,-1}
c)
{-5,1}
d)
No Solution
50.
a)
{4, -4}
b)
{9, -9}
c)
{5, -9}
d)
{13, -1}
51.
−2|−2r − 4| = -12
a)
{5,1}
b)
{-5,-1}
c)
{-5,1}
d)
No Solution
52.
4|5x-2|+7>39
a)
-6/5<x>2
b)
x=2 or x=-6/5
c)
x=2 and x=-6/5
d)
x<-6/5 or x>2
53.
What is the first step?
a)
Get absolute value alone by subtracting 5 from both sides
b)
Get absolute value alone by dividing by 5 on both sides
c)
Get absolute value alone by adding 5 to both sides.
d)
Split into two cases
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