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WorksheetsFoundations Study Guide (Juniors)
Total questions: 52
Worksheet time: 3hrs 10mins
Name
Class
Date
1.
Find B-A
a)
-3 1
7 -1
7 -1
b)
1 0
1 -4
1 -4
c)
-4 0
6 -1
6 -1
d)
not possible because rows do not match columns
2.
You can multiply a 2X3 matrix by which matrix?
a)
2X2
b)
2X12
c)
3X12
d)
2X3
3.
Find the product.
a)
undefined
b)
-3 16
17 12
8 -10
17 12
8 -10
c)
3 12
-15 -8
-1 -3
-15 -8
-1 -3
4.
Calculate the determinant
a)
0
b)
none
c)
-32
d)
-8
5.
What is the inverse of the following matrix?
⌈4 −3⌉
⌊12 3⌋
⌈4 −3⌉
⌊12 3⌋
a)
⌈1/16 1/16⌉
⌊-1/2 1/12⌋
⌊-1/2 1/12⌋
b)
⌈4/48 -3/48⌉
⌊12/48 3/48⌋
⌊12/48 3/48⌋
c)
⌈2/24 −3/48⌉
⌊-6/48 3/48⌋
⌊-6/48 3/48⌋
d)
⌈3/48 3/48⌉
⌊-12/48 4/48⌋
⌊-12/48 4/48⌋
6.
Multiply
a)
20 15 -10
30 -5 0
30 -5 0
b)
-20 15 -10
30 -5 0
30 -5 0
c)
1 8 3
11 4 5
11 4 5
d)
20 -15 10
-30 5 0
-30 5 0
7.
a)
a
b)
b
c)
c
d)
d
8.
What are the dimensions of this matrix?
a)
2 x 3
b)
3 x 2
c)
6 x 1
d)
1 x 6
9.
a)
5 -2
-3 1
-3 1
b)
-5 2
3 -1
3 -1
c)
-5 3
2 -1
2 -1
d)
1 -3
-2 5
-2 5
10.
Identify
a)
singular matrix
b)
partial fraction
c)
coeffecient matrix
d)
inverse matrix
11.
Factor 4x2 - 64y2
a)
Prime
b)
( 2x - 32y) (2 x + 32y)
c)
( 2x - 8y) (2 x - 8y)
d)
( 2x - 8y) (2 x + 8y)
12.
Factor x2 + 81.
a)
Prime
b)
( x - 9 ) ( x + 9 )
c)
( x + 9 ) ( x + 9 )
d)
( x - 9 ) ( x - 9 )
13.
Factor:
x2 - 36
x2 - 36
a)
(x + 9)(x - 4)
b)
(x - 6)(x - 6)
c)
(x - 9)(x + 4)
d)
(x + 6)(x - 6)
14.
Solve:
3x + 7 = -8
3x + 7 = -8
a)
5
b)
-5
c)
-12
d)
-18
15.
Solve:
7x - 3x - 8 = 24
7x - 3x - 8 = 24
a)
8
b)
-8
c)
3.2
d)
4
16.
Solve:
6(5x - 3) + 2 = 14
6(5x - 3) + 2 = 14
a)
2
b)
.5
c)
-1
d)
1
17.
Solve:
7x + 19 = -2x + 55
7x + 19 = -2x + 55
a)
4
b)
14.8
c)
8.2
d)
-4
18.
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
19.
Solve: -3 ≤ 2x - 1 ≤ 5
a)
-1 ≤ x ≤ 3
b)
-1 < x < 3
c)
1 < x < 3
d)
1 ≤ x ≤ 3
20.
Solve:
-4x + 1 ≤ 21 and 5x + 2 < 22
-4x + 1 ≤ 21 and 5x + 2 < 22
a)
x > -5 or x ≤ 4
b)
x ≥ -5 or x < 4
c)
x > -5 and x ≤ 4
d)
x ≥ -5 and x < 4
21.
Solve:
3x + 2 < -4 or 4x + 4 > 24
3x + 2 < -4 or 4x + 4 > 24
a)
x < -2 or x > 5
b)
x < 2 or x > 5
c)
x < -2 and x > 5
d)
x < 2 and x > 5
22.
Your taxi fare is $2.50 per mile, plus a $5 fee. You cannot exceed $20. Which inequality models this scenario?
a)
5x + 2.50 ≤ 20
b)
2.50x + 5 < 20
c)
2.50x + 5 ≤ 20
d)
7.50x < 20
23.
You have $120 budgeted to rent a moving truck for 2 days. Each day is $39, plus $0.25 per mile. How many miles can you drive the truck and stay within your budget?
a)
170 miles
b)
168 miles
c)
150 miles
d)
172 miles
24.
3x-4< -13 or 7x+1> 22
a)
All Real numbers
b)
x>3 and x>-9
c)
The answer is not listed
d)
x<-3 or x>3
25.
a)
A
b)
B
c)
C
d)
D
26.
Which of the following is not a solution to this system of inequalities?
a)
(0,-1)
b)
(0,3)
c)
(4,0)
d)
(6,-2)
27.
Match the system to the graph (solution set is on the left)
a)
y ≤ 3x and y ≤ -2x + 4
b)
y > 3x and y > -2x + 4
c)
y < 3x and y > -2x + 3
d)
y > 3x and y < -2x + 4
28.
Which system of inequalities matches the graph?
a)
y > 2x - 4
y < 2
y < 2
b)
y < 2x - 4
y < 2
y < 2
c)
y > 2x - 4
y < 2
y < 2
d)
y < 2x - 4
y < -2
y < -2
29.
Which of the following points is a solution to the system of equations below?
x + 2y ≥ 4
3x − 2y < 4
Take your time!
x + 2y ≥ 4
3x − 2y < 4
Take your time!
a)
(0, 0)
b)
(2, 1)
c)
(2, 2)
d)
(-1, 1)
30.
Which system of inequalities is shown?
a)
y ≥ -x - 1
y < x + 4
y < x + 4
b)
y < -x - 1
y ≥ x + 4
y ≥ x + 4
c)
y > -x - 1
y ≥ x + 4
y ≥ x + 4
d)
y > -x - 1
y ≥ x + 3
y ≥ x + 3
31.
Will my line be solid?
5 ≥ x
5 ≥ x
a)
Yes
b)
No
32.
Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7
?
?
a)
75
b)
76
c)
67
d)
77
33.
Which is equivalent to 24?
a)
8
b)
20
c)
16
d)
12
34.
What is the power to this problem?
6 x 6 x 6 x 6 x 6 x 6 x 6
6 x 6 x 6 x 6 x 6 x 6 x 6
a)
6 to the 7th power
b)
6 to the 8th power
c)
7 to the 9th power
d)
10 to the 5th power
35.
25 is the same as 2 x 5.
a)
True
b)
False
36.
Simplify (7a2)(5a6b)2
a)
35a14b2
b)
175a12b2
c)
175a14b2
d)
35a14b
37.
6⋅6⁷
a)
6⁸
b)
6⁶
c)
6⁷
d)
6
38.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
negative
39.
2.) Simplify
(3x3y5)4
(3x3y5)4
a)
3x12y20
b)
81x12y20
c)
12x12y20
d)
81x7y9
40.
Simplify the following expression:
xy-7
xy-7
a)
xy7
b)
x/y7
c)
x7/y
d)
x7y
41.
Simplify (rs3)(3r2)-2
a)
(rs3)(9r4)
b)
s3 / 9r3
c)
s3 / 6r3
d)
(rs3)(6r4)
42.
How many minutes are in a year?
a)
I can't count that high.
b)
525,600min
c)
52,560min
d)
31,536,000min
43.
How many hours are in a year?
a)
8760hrs
b)
8670hrs
c)
525,600hrs
d)
Ms. Keller, why are you trying to trick us?
44.
How many seconds are in a day?
a)
There are only seconds in a minute.
b)
1440sec
c)
86,400sec
d)
84,600sec
45.
Find GCF 3x5+15x3
a)
3x3
b)
3x
c)
3x5
d)
15x3
46.
FACTOR
7w3-14w
7w3-14w
a)
7w(w2-2)
b)
7w(w2-2w)
c)
7w(w-2)
d)
7w(w+2)
47.
What is the GCF of 18k and 15k3
a)
3k2
b)
3k3
c)
3k
d)
5k
48.
What is the greatest common factor of the three terms in the expression?
24m3n5p + 6mn4p2 + 4mn5
24m3n5p + 6mn4p2 + 4mn5
a)
2mn
b)
24mn4
c)
2mn4
d)
2mn4p
49.
Factor:
80x5-70x2-60x7
80x5-70x2-60x7
a)
2x2(80x3-70-60x6)
b)
10x2(80x4-70x-60x6)
c)
10x2(8x3-7-6x5)
d)
3x2(80x3-40-60x5)
50.
Factor 2x3-8x2-x+4
a)
(2x2-1)(x-4)
b)
2(x2-1)(x+4)
c)
(x2-1)(2x-4)
d)
(2x2+1)(x-4)
51.
Factor x2(x-5) + 5(x-5)
a)
(x2-5)(x-5)
b)
(x2+5)(x-5)
c)
(x2+5)(x+5)
d)
(x2-1)(x-25)
52.
Factor 30x3+15x2-18x-9
a)
(5x2-3)(6x+1)
b)
(5x2-3)(6x+3)
c)
3(5x2+3)(2x-1)
d)
3(5x2-3)(2x+1)
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