Worksheets7th Grade Alg End of Year Extra Credit
Total questions: 90
Worksheet time: 3hrs 40mins
Name
Class
Date
1.
Find the distance between the points (-5, 4) and (-6, -4).
a)
√65
b)
√63
c)
8
d)
√29
2.
What is the slope of the line perpendicular to the line 2x+3y = -12
a)
-3/2
b)
-2/3
c)
3/2
d)
2/3
3.
What it the 11th term in the sequence: 9, 27, 81, 243...
a)
1,594,323
b)
177,147
c)
531,441
d)
2,566,182
4.
What is the 51st term of the sequence: 34, -166, -366, -566, ...
a)
-10,166
b)
-9,966
c)
-10,366
d)
-9,766
5.
Solve the inequality: 5(6-c)<20
a)
c>-9
b)
c<9
c)
c<-2
d)
c>2
6.
Solve the inequality: -7+6w>-2-4w
a)
w > 1/2
b)
w > 1/5
c)
w < - 10
d)
w < 2
7.
What is the inequality of the graph?
a)
x≤2
b)
x<2
c)
x>2
d)
x≥2
8.
Is the point (0, 0) as solution to the inequality: y ≤ -4/3 x + 5
a)
no
b)
yes
9.
Solve the compound inequality: 1<n+2<11
a)
-1 < n < 13
b)
-1 < n < 9
c)
n > -1 or n < 13
d)
n > -1 or n< 9
10.
Which is the correct graph for : y=|x-3|
a)
A
b)
B
c)
C
d)
D
11.
what is the slope of the line that contains the points (2,30) and (7,60)
a)
18
b)
1/6
c)
6
d)
1/18
12.
What is the slope of the line that parallel to the line y = 3x - 4?
a)
4
b)
-4
c)
-3
d)
3
13.
What is the equation of the given line?
a)
y = 2x + 3
b)
y = -2x + 3
c)
y = -1/2 x + 3
d)
y = 1/2 x + 3
14.
Rewrite the in slope intercept form. -3x+4y=8
a)
y= 3/4 x + 8
b)
y=4/3 x + 2
c)
y=3/4 x + 2
d)
y= -4/3 x + 8
15.
Which of the graphs has a negative correlation?
a)
W
b)
X
c)
Y
d)
Z
16.
Rewrite the equation in standard form. y=-6/5x-3
a)
5y=-6x-15
b)
6x+5y=-15
c)
5x+6y=15
d)
-6x+5y=-3
17.
What is the equation of the line passing through the point (6,2) that has a slope of 1/2?
a)
y = 1/2x - 4
b)
y = 1/2x + 6
c)
y = 1/2x + 2
d)
y = 1/2x - 1
18.
What is the solution to the system: x-y=3 and 2x+y=3
a)
No Solution
b)
(0,0)
c)
(2, -1)
d)
(1, -4)
19.
What is the solution to the system: -9x+7y=-7 and 6x+8y=-8
a)
(0, -1)
b)
(-2, -8)
c)
(3, -4)
d)
Infinitely many solutions
20.
What is the solution to the system: -9x+7y=-7 and 6x+8y=-8
a)
(0, -1)
b)
(-2, -8)
c)
(3, -4)
d)
Infinitely many solutions
21.
The Smiths and the Jones each bought hostas and shrubs (from the same store) to landscape their yards. The Smiths spent $103.90 on 12 hostas and 5 shrubs. The Jones spent $94.70 on 6 hostas and 7 shrubs. How much does one shrub cost?
a)
$6.90
b)
$8.60
c)
$4.70
d)
$9.50
22.
Simplify the expression: 4x2⋅7x4
a)
11x6
b)
28x6
c)
28x8
d)
11x8
23.
Simplify: 3⋅x-3⋅8⋅x
a)
24/x2
b)
3/8x2
c)
1/24x2
d)
24x2
24.
Rewrite in scientific notation: 564.88
a)
5.6488 x 10-2
b)
5.6488 x 102
c)
56.488 x 10-1
d)
0.56488 x 10-1
25.
Rewrite in scientific notation: 564.88
a)
5.6488 x 10-2
b)
5.6488 x 102
c)
56.488 x 10-1
d)
0.56488 x 10-1
26.
Evaluate (in scientific notation)
(7.3x103)(1.2x105)
(7.3x103)(1.2x105)
a)
8.76x1015
b)
6.1x108
c)
6.1x1015
d)
8.76x108
27.
You inherit $10,000 from a wealthy relative. Your parents want you use the money for college and they have you invest it in a stock that is compounded semiannually at 14% for 6 years. Approximately How much will you have for college from this investment.
a)
$22,521
b)
$23,433
c)
$19,789
d)
$14,600
28.
What type of association does this graph have?
a)
positive
b)
negative
c)
none
d)
all of the above
29.
Solve: ⅘m = 28
a)
140
b)
35
c)
22.4
d)
30
30.
Solve: -11 + 3(b + 5) = 7
a)
1
b)
-1
c)
3
d)
-3
31.
Solve: 2x - 3 + 4x = 27
a)
12
b)
4
c)
5
d)
15
32.
Solve: -(n - 8) = -2
a)
6
b)
10
c)
-10
d)
-6
33.
4x+5-x=-1
a)
x=5
b)
x=-2
c)
x=6
d)
x=2
34.
6x + 28 = 12 + 2x
a)
-10
b)
-4
c)
-2
d)
6
35.
-10+x+4-5=7x-5
a)
1
b)
31
c)
-31
d)
-1
36.
-14+6b+7-2b=1+5b
a)
no solution
b)
-8
c)
45
d)
-35
37.
-10(3 - 12x) - 8 = -638
a)
x = 0
b)
x = -5
c)
x = 8
d)
x = -11
38.
-18 = 11a + 7 + 8
a)
a = 19
b)
a = 24
c)
a = -3
d)
a = 10
39.
1 + 7(12 + 10m) = -265
a)
m = -9
b)
m = -5
c)
m = -3
d)
m = -6
40.
-295 = -1 - 7(9n - 3)
a)
n = -24
b)
n = 1
c)
n = 14
d)
n = 5
41.
-83 = -7(-2a - 1) - 8(a + 12)
a)
a = 2
b)
a = 12
c)
a = -16
d)
a = 1
42.
Timmy and Tammy went rock climbing and spent $133 for a day of at the state park. It cost them $25 for a day pass at the park and $18 per hour to rent the climbing equipment. How many hours were they rock climbing?
a)
5 1/2 hours
b)
6 hours
c)
7 hours
d)
4 hours and 45 minutes
43.
Timmy and Tammy won a couples pie eating contest. The winning couple earned $500 but had to pay $5.75 for each pie they ate. After paying for their pies, Timmy and Tammy too home $448.25. How many pies did the couple eat to win the contest?
a)
7 pies
b)
12 pies
c)
6 pies
d)
9 pies
44.
If you choose from the following M & M colors, what is the probability that you choose blue?
5 green
6 yellow
8 blue
7 brown
5 green
6 yellow
8 blue
7 brown
a)
8/26
b)
4/13
c)
8/25
d)
1/3
45.
What is the mode?
a)
# happening the most
b)
the average
c)
biggest - smallest
d)
the middle #
46.
In order to find the median, the data must be sorted from least to greatest first.
a)
True
b)
False
47.
To find the mean of a set of numbers, add up all the items and divide by...
a)
2
b)
The minimum
c)
The maximum
d)
The number of items
48.
At Dominique's Donuts the number of donut holes in a bag can vary. Help Dominique find the mode.
12,10,10,10,13,12,11,13,10
12,10,10,10,13,12,11,13,10
a)
13
b)
12
c)
11
d)
10
49.
Find the mean of these numbers:
5,11,2,12,4,2
5,11,2,12,4,2
a)
4.1
b)
6
c)
4.5
d)
4
50.
Find the median of these numbers:
4,2,7,4,3
4,2,7,4,3
a)
2
b)
5
c)
7
d)
4
51.
You pick a marble from this bag.
What is the probability you will choose either a black or white marble?
What is the probability you will choose either a black or white marble?
a)
3/5
b)
9/100
c)
1/10
d)
2/5
52.
What is the probability of spinning red?
a)
0
b)
5/12
c)
1/2
d)
3/4
53.
What is the probability of spinning green?
a)
0
b)
1/4
c)
1/2
d)
3/4
54.
What is the value of the expression
x2 + y2 + x - y
when x = -1 and y = 3
x2 + y2 + x - y
when x = -1 and y = 3
a)
6
b)
8
c)
12
d)
16
55.
7 + (12-3)2
a)
256
b)
88
c)
10
d)
13
56.
4(8) ÷ (8 − 6)
a)
-2
b)
18
c)
-1
d)
16
57.
Order the numbers from least to greatest.
−√36, 15/2, 0, -3.5, |-8|, -9
−√36, 15/2, 0, -3.5, |-8|, -9
a)
-9, −√36, -3.5, 0, 15/2, |-8|
b)
-9, |-8|, −√36, -3.5, 15/2, 0
c)
−√36, -9, -3.5, 15/2, 0, |-8|
d)
−√36, |-8|, -9, -3.5 , 0,15/2
58.
Evaluate
-2/7 - 5/14
-2/7 - 5/14
a)
-1
b)
9/7
c)
-9/14
d)
-3/14
59.
Evaluate (-3/5)÷12
a)
-36/5
b)
-1/20
c)
none of these
d)
-4/5
60.
Evaluate |6| + |-3|
a)
3
b)
-3
c)
-9
d)
9
61.
Solve
a2 + 2a - 24 = 0
a2 + 2a - 24 = 0
a)
a = -6, 4
b)
a = 6, -4
c)
a = 12, -2
d)
a = 8, -3
62.
factor completely
v2 - 6v + 9
v2 - 6v + 9
a)
(v-3)2
b)
(v-6)2
c)
(v-9)(v+6)
d)
not factorable
63.
Factor completely
x2 + 27x - 160
x2 + 27x - 160
a)
(x+15)(x-14)
b)
(x-5)(x+32)
c)
(x+14)(x-15)
d)
not factorable
64.
Solve
6h2 + 17h + 10 = 0
6h2 + 17h + 10 = 0
a)
h= -5, -12
b)
h= 5, 12
c)
h = -2, -5/6
d)
h = -2/5, -6
65.
Which graph represents y = -3?
a)
A
b)
B
c)
C
d)
D
66.
What is the slope of a line parallel to the line whose equation is: -2x + y = - 7?
a)
-2
b)
1/2
c)
-1/2
d)
2
67.
Which graph is described by
x - 3y = -3?
x - 3y = -3?
a)
A
b)
B
c)
C
d)
D
68.
Simplify √200
a)
14
b)
20√8
c)
5√3
d)
10√2
69.
Simplify √48
a)
4√2
b)
6√3
c)
4√3
d)
4√2
70.
Simplify √96
a)
4√6
b)
3√6
c)
6√5
d)
6√8
71.
Simplify √24
a)
2√6
b)
6√2
c)
4√6
d)
2√12
72.
Find the length of the missing side.
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
73.
Find the length of the missing side.
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
74.
Find the distance between J and K.
a)
8.2
b)
7.7
c)
9
d)
10.2
75.
Find the distance.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
76.
x-42
a)
142/x
b)
x42/1
c)
x/142
d)
1/x42
77.
70
a)
71
b)
01
c)
1
d)
7
78.
(v-5) / (v-9)
a)
v-14
b)
v4
c)
1/v4
d)
1/v14
79.
Simplify the following expression:
xy-7
xy-7
a)
xy7
b)
x/y7
c)
x7/y
d)
x7y
80.
Simplify
(2a2b4z)(6a3b2z5)
(2a2b4z)(6a3b2z5)
a)
8a5b6z6
b)
12a6b8z5
c)
12a5b6z6
d)
8a6b8z5
81.
3x3y * 2x8y5
a)
5x11y6
b)
6x11y6
c)
6x24y5
d)
3x112y5
82.
Xm • Xn
a)
XMN
b)
XN
c)
Xm+n
83.
The expression 45 is the same as...
a)
5+5+5+5
b)
4+4+4+4+4
c)
5⋅5⋅5⋅5
d)
4⋅4⋅4⋅4⋅4
84.
Evaluate the absolute value expression |7| - |10|
a)
3
b)
-3
c)
17
d)
-17
85.
Evaluate: -x + |x| if x=-0.75
a)
1.5
b)
0
c)
-1.5
d)
none of these
86.
Solve the proportion.
a)
n=6
b)
n=24
c)
n=7
d)
n=8
87.
Solve the proportion.
a)
n=6
b)
n=24
c)
n=7
d)
n=8
88.
Solve the proportion.
a)
q=2
b)
q=9
c)
q=4.5
d)
q=6
89.
Solve:
a)
x = 24
b)
x = 12
c)
x = 17.5
d)
x = 19.5
90.
Solve for b
a)
8
b)
17/12
c)
4/3
d)
1/8
100 %
