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Algebra - SOL Review Comprehensive 1 2017-2018

Total questions: 30

Worksheet time: 1hrs 20mins

Name
Class
Date
1.

Joanne's z-score is -1.5 on a test. What does this mean?

a)

She scored 1.5 standard deviations above the average.

b)

She scored 1.5 standard deviations below the average.

c)

She did better than most people.

d)

No clue

2.
If heights of 3rd graders follow a normal distribution with a mean of 52 inches and a standard deviation of 2.5 inches, what is the z score of a 3rd grader who is 47 inches tall? 
a)
-5
b)
-2
c)
2
d)
5
3.

The standard deviation and mean are shown for 2 data sets Which is true about the data points?

SET 1 σ=4.3 μ=15

SET 2 σ=2.7 μ=16

a)

Set 1 has a higher variance

b)

Set 2 has a higher variance

c)

Set 1 has a higher standard deviation because the mean is greater

d)

Set 2 has a lower standard deviation because the mean is smaller

4.
a)

26

b)

44

c)

13,635

d)

11,385

5.
a)

Six less than product of 2 and the square of a number,x.

b)

The product of 2 and the square of a number,x less than 6.

c)

The product of 2 times a number and 6.

d)

The difference of 2 and a number less than 6.

6.
Simplify.
(3x2 - 2x) - (-2x2 + 3x)
a)
x2 + x
b)
5x2 + x
c)
5x2 - 5x
d)
x2 - 5x
7.
Write in general form:(x + 5)(x + 4)
a)
x2 + x + 20
b)
x2 + 20x + 9
c)
x2 + 9x + 20
d)
x2 - 9x + 54
8.
Simplify.
a)
A
b)
B
c)
C
d)
D
9.
a)

A

b)

B

c)

C

d)

D

10.
Factor completely.
2k2 -4k - 48
a)
2(k+4)(k-6)
b)
(k+4)(k-6)
c)
(k+6)(k-1)
d)
2(k-4)(k+6)
11.
What is the range of the graph?
a)
All real numbers
b)
y≤0
c)
y ≥ 0
d)
x ≥ 0
12.
a)

1≤x≤5

b)

{-1, 1, 2, 3}

c)

{1, 2, 3, 5}

d)

-1≤y≤3

13.
Which is the simplest form of the given radical?
a)
A
b)
B
c)
C
d)
D
14.
The property used between the given and step 1 is
a)
Substitution
b)
Addition Property of Equality
c)
Multiplication Property of Equality
d)
Inverse Property of addition
15.

Between which steps was the associative property used?

a)

1 and 2

b)

2 and 3

c)

3 and 4

16.
Solve for x:
a)
x = yb - v
b)
x = by - v
c)
x = by + v
17.
The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used? 
a)
1s + 3c = 38
2s + 3c = 52
b)
3s + 1c = 38
3s + 2c = 52
c)
s + c = 38
s + c = 52
d)
3s + 3c = 38
1s + 2c = 52
18.

Which region is shaded by the system shown below?

2x - 3y ≥ 5

2x + y ≤ 10

a)

1

b)

2

c)

3

d)

4

19.

Solve.


-2 (x+2) < 14

a)

x < - 5

b)

x > -5

c)

x < -9

d)

x > -9

20.
What is the equation of the line?
a)
y = 0
b)
y = 1
c)
y = 2
d)
x = 1
21.
Find the slope of the line that passes through
(1, -19) and (-2, -7)
a)
-4
b)
4
c)
1/4
d)
-1/4
22.
a)
-6
b)
-1/6
c)
1/6
d)
6
23.

What is the range of the function if the domain of f(x) = -2x2+1 is {-1, 0, 2}?

a)

{-7, 1, 3}

b)

{all real numbers}

c)

{-1,0, 2}

d)

{-7, -1, 1}

24.

Which is not a function?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

25.

Solve for the x value of the below system.


4x - 2y = 7

x + 2y = 3

a)

x = -1/2

b)

x = 1/2,

c)

x = 2

d)

x = -2

26.
Solve for n.
a)
n=-1
b)
n=3/10
c)
n=1
d)
n=-3
27.
Solve
 2x² - 3x - 2 = 0
a)
x = 1, x = -1
b)
x = -1/2, x = 2
c)
x = 1/2, x = 2
d)
x = 1/2, x = 1
28.

Select all of the below which are direct variation equations.

a)

y=0.8x

b)

2y=x

c)

y=2/x

d)

y=x

e)

y=3x-2

29.
Is the given table a direct or inverse variation? What is the constant of variation?
a)
Direct, 12
b)
Inverse, 12
c)
Direct, 1/12
d)
Inverse, 1/12
30.

Mike's car used 11 gallons of gas for every 275 miles travelled. Ricardo's car used 14 gallons of gas for every 350 miles travelled. Is the relationship between these cars a direct relationship, inverse relationship, or neither.

a)

Direct

b)

Inverse

c)

Neither