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Algebra - A little bit of everything!

Total questions: 52

Worksheet time: 2hrs 2mins

Name
Class
Date
1.
Match the graph with its inequality.
a)
a > 11
b)
a < 11
c)
a ≥ 11
d)
a ≤ 11
2.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
3.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
4.
Solve the equation.
-11-5a = 6(5a + 4)
a)
-1
b)
-2
c)
-3
d)
-4
5.

-8b - 8 > 56

a)

b > 6

b)

b < -8

c)

b > -8

d)

b > 7/2

6.
54x + 64 ≥ 49x + 59
a)
x≥−1
b)
x≤-1
c)
x>9
d)
x<-3
7.
Consider the function y<2x+3. Which is true?
a)
The line would be solid with shading above.
b)
The line would be dashed with shading above.
c)
The line would be solid with shading below.
d)
None of these.
8.
Which point below is NOT a part of the solution set?
a)
(0, 0)
b)
(0, 1)
c)
(-100, -3)
d)
(5, 10)
9.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(5, 1)

c)

(-1, -2)

d)

(20, -5)

10.

Which of the following equations match the given graph?

a)

y ≤ -5/4 x + 3

b)

y ≥ -5/4 x + 3

c)

y < -5/4 x + 3

d)

y > -5/4 x + 3

11.
Which of the following equations match the given graph?
a)
x ≥ -1
b)
x ≤ -1
c)
x > -1
d)
x < -1
12.
Which of the following equations match the given graph?
a)
y ≥ 2/5x + 1
b)
y ≥ -2/5x + 1
c)
y≤  2/5x + 1
d)
y ≥ -2/5x - 1
13.

Match the system to the graph.

a)

y ≥ -x - 1 and y < x + 4

b)

y < -x - 1 and y ≥ x + 4

c)

y > -x - 1 and y ≥ x + 4

d)

y > -x - 1 and y ≥ x - 4

14.

Which system of inequalities matches the graph?

a)

x> -2

y < -4

b)

x< 2

y> 4

c)

x > 2

y < 4

d)

x > 2

y <- 4

15.
Which of the following inequalities represents the graph? 
a)
x≤-2
y≤x-3
b)
y≤-2
y≤x-3
c)
x≥-2
y≤x-3
d)
y≥-2
y≤x-3
16.
What is this formula?
a)
This is the speed of light formula.
b)
This is the quadratic formula.
c)
This is the zero product property.
d)
This is scary.
17.

Solve by factoring or using the quadratic formula...

2x2 - 12 = -2x

a)

-2, 3

b)

2, 3

c)

2, -3

d)

-2, -3

18.

Solve by factoring or using the quadratic formula...

8x2 - 6x + 1 = 0

a)

No Solution

b)

0 or 1

c)

-0.5 or -0.25

d)

0.25 or 0.5

19.

Solve by factoring or using the quadratic formula...

3x2 - 11x = -10

a)

5/3 or 2

b)

1 or 2

c)

1.5 or 2

d)

-5/3 or 2

20.

Solve using the quadratic formula...

2x2 + 7x - 15 = 0

a)

-1.5 or 5

b)

No Solution

c)

-5 or 1.5

d)

0.7 or 5

21.
.How many zeros does this parabola have? 
a)
3
b)
2
c)
0
d)
1
22.
Factor
n2 + 16n + 63
a)
(n-7)(n+4)
b)
(n+7)(n-9)
c)
(n-3)(n-10)
d)
(n+7)(n+9)
23.
Factor
3v2 - 4v - 7
a)
(3v-7)(v+1)
b)
3(v-7)(v-1)
c)
(3v+1)(v-9)
d)
(3v+1)(v-10)
24.
Factor
n2-13n+40
a)
(n-5)(n-8)
b)
(n+5)(n-8)
c)
(n-5)(n+8)
d)
(n+6)(n+1)
25.
Factor
2x2 - 13x - 70
a)
(2x-7)(x+10)
b)
(7x+5)(x+2)
c)
(2x+7)(x-10)
d)
2(x+7)(x+10)
26.
n9  • n7 •  n3
a)
n973
b)
n189
c)
n19
d)
n20
27.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
28.
(-2)³⋅(-2)⁶
a)
(-2)⁹
b)
(-2)¹⁸
c)
(-2)⁻³
d)
(-2)
29.
(2m4)(5m2)
a)
10m6
b)
10m8
c)
7m6
d)
7m8
30.
Simplify:
(5ab2)2
a)
25a2b4
b)
10a2b4
c)
10ab4
d)
25ab4
31.
Simplify (-3x4y5)2
a)
9x8y10
b)
6x8y10
c)
-3x8y10
d)
-9x8y10
32.
Simplify         m12/ m3
a)
m12-3  = m9
b)
m12/3  = m4
c)
m-9
d)
-m9
33.
Evaluate the expression using the Same Base, Division rule.
a)
214 z13
b)
22/z7
c)
214/ z7
d)
22 z7
34.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
35.
Solve the radical equation
a)
9
b)
82
c)
-9
d)
-82
36.
 Solve the equation.
a)
36
b)
18
c)
-18
d)
27
37.
Solve
a)
-14
b)
14
c)
no solution
d)
28
38.
Solve
a)
102
b)
12
c)
98
d)
7
39.
Solve
a)
-5
b)
5
c)
10
d)
25
40.
-4( 5x + 3 ) = 4( 7 - 3x )
a)
x = -5
b)
x = 15
c)
x = 12
d)
Many Solutions
41.
2 + 2( -2 + 6x) = 6(3x + 3) - 4x
a)
x  = -14
b)
x = -10
c)
x = 6
d)
No Solution
42.
48 = -6( -4 - 7n) + 8( -8n + 3)
a)
n = -12
b)
n = 10
c)
No Solution
d)
n = 0
43.
-(n + 3) - 4(2n + 1) = 56
a)
n = -12
b)
n = 6
c)
n = 13
d)
n = -7
44.
-6( -6 + 5k) - 4(8k - 6) = -64
a)
k = 5
b)
Many Solutions
c)
k = -12
d)
k = 2
45.
Find the slope of the line that passes through the points (2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
46.
Find the slope of the line that passes through
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
47.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
48.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
49.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
50.
When factoring
x2 - 4x + 4 = 20,
what goes in the blank?
(x - __ )2 = 20
a)
4
b)
2
c)
8
d)
20
51.
What is one of the solutions to this equation?
(2x - 1)2 = 49
a)
7
b)
-7
c)
-4
d)
-3
52.
Solve the following equation by completing the square:
n2 - 2n - 3 = 0
a)
{3 and-1}
b)
{4 and -4}
c)
{5 and -3}
d)
{8 and -7}

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