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Test unit 1,2,3,4b

Total questions: 78

Worksheet time: 4hrs 4mins

Name
Class
Date
1.

 x+628\left|x+6\right|-2\ge8  

a)

 16x4-16\le x\le4  

b)

-16

c)

 x16 or x4x\le-16\ or\ x\ge4  

d)

4

2.

 c2+2 =14\frac{c}{2}+2\ =14  

a)

c =23

b)

c = 25

c)

c = 24

d)

all real #'s

3.

 d33=12\frac{d}{3}-3=12  

a)

d = 45

b)

d = 75

c)

d = 9

d)

d = 15

4.

3(d + 4) = 24

a)

d = 14

b)

d = 4

c)

d = 31

d)

d = 16

5.

7w +37 = 5w + 9

a)

w = 25

b)

w = 13

c)

w = -14

d)

w = -15

6.

Solve

a)

5

b)

2

c)

No Solution

d)

Infinitely Many Solutions

7.

3x + 2x + 4 = 4(1x +1) + 6

a)

no solution

b)

all real numbers (infinite)

c)

x = 6

d)

x = 0

8.
4(-8x + 5) = -32x - 26
a)
54
b)
-54
c)
all real numbers (infinite)
d)
no solution
9.

What is the first step in solving the equation 2a - 4(a - 5) = 10

a)

Add 4 to both sides

b)

Add the 2a and a

c)

Distribute 4 to a and -5

d)

Distribute -4 to a and -5

10.

Which of the following equations match the table?

a)

y = 3x

b)

y = x + 2

c)

y = 2x

d)

y = 2x + 1

11.

Which equation matches the graph?

a)

y = x + 2

b)

y = 2x + 1

c)

y = x + 1

d)

y = 2x + 2

12.

Match the graph to the correct table.

a)
b)
c)
13.

Jewels has already jogged 5 miles from her house. She will continue to jog at 3 miles per hour. Which equation represents this situation?

a)

y = 5x

b)

y = 3x

c)

y = 5x + 3

d)

y = 3x + 5

14.
Samuel had 201 meters to run after running for 12 seconds. He had 135 meters to run after running for 45 seconds. What is the equation?
a)
y = 12x + 201
b)
y = 45x + 135
c)
y = 12x - 45
d)
y = -2x + 225
15.

Victoria is ordering an ice cream cone. She must pay for the waffle cone and each scoop of ice cream. In the equation, c = .6s + 1.75, what does the number .6 represent?

a)

The cost of the waffle cone

b)

The cost of each scoop

c)

The number of waffle cones

d)

The number of scoops

16.
Is the ordered pair (-4, 10) a solution to the inequality 2x - y > 0?
a)
Yes
b)
No
c)
Blank
d)
Blank
17.
a)
Slope is 1/4
b)
Slope is -1/4
c)
Slope is 4
d)
Slope is -4
18.
a)
y = -3x + 1
b)
y = -1/3x + 1
c)
y = 3x + 1
d)
y = -3x + 1
19.

What is the intercept?

a)

y-intercept of 4

b)

y-intercept of -4

c)

y-intercept of 2.75

d)

y-intercept of -2.75

20.

What are the slope and y-intercept of the line described by -5x + y = 20

a)

m = 20, b = -5

b)

m = 5, b = 20

c)

m = -5, b = 20

d)

m = 20, b = 5

21.
a)
Yes, a function
b)
No, not a function
22.

If a function f(x) has slope of 5 and y-intercept of -3. Which function has the same rate of change as f(x) = 5x - 3?

a)

y = -5x - 3

b)

y = 5x + 1

c)

y = -3x + 5

d)

y = 3x - 5

23.
Find the equation of the line that passes through points (2, -1) and (1, -7).
a)
y = 13x - 6
b)
y = 6x - 13
c)
y = -6x + 13
d)
y = -13x + 6
24.

Use the point-slope formula to find the equation of the line that passes through the points (-1, 3) and (-3, 9). Hint: Find slope first.

a)

y = 3x

b)

y = x + 6

c)

y = -x + 1

d)

y = -3x

25.
What is the domain of the relation shown in the graph above?
a)
{0, 1, 2, -2, 3}
b)
{1, 3, 0, -2, -5}
c)
{0, 2, -1, 3, 5}
d)
{-5, -2, 2,-1, 3}
26.
Which statement is true about the relation {(-2, 4), (4, 2), (2, 4), -4, 2)}?
a)
The relation is NOT a function because all the y-values are not different.
b)
The relation is NOT a function because all the x-values are not different.
c)
The relation is a function because the y-values are different.
d)
The relation is a function because all the x-values are different.
27.
What is the domain of the graph shown?
a)
-2 < y ≤ 6
b)
-6 ≤ x < -2
c)
-6 < y ≤ 6
d)
-6 < x ≤ 3
28.
What is the range of the graph shown?
a)
3 < x ≤ 6
b)
-6 < y ≤ 3
c)
-2 < y ≤ 6
d)
-2 < x ≤ 6
29.
What is the domain of the graph shown?
a)
x ≤ 5
b)
x ≤ -2
c)
x ≥ 5
d)
x ≥ -2
30.
What is the range of the graph shown?
a)
y ≤ 5
b)
y ≥ 5
c)
y ≤ -2
d)
y ≥ -2
31.
If f(x) = 3x - 7, find f(4).
a)
0
b)
5
c)
14
d)
19
32.
Find the range of f(x) = 7x - 2, given the domain is D = {2, -1, 3}. 
a)
{-7, 14, 21}
b)
{-9, 12, 19}
c)
{-5, 12, 21}
d)
{-9, 14, 19}
33.
Find the range of
f(x) = -2x2- 3, give the domain is D = {2, -3, 4}. 
a)
{5, 15, 29}
b)
{-35, -21, -11}
c)
{-35, -15, -11}
d)
{-35, -11, 15}
34.
Solve
3x - (x - 4) = 18
a)
7/2
b)
7
c)
11
d)
11/2
35.
What is the value of n in the equation -2.2 = -4n ?
a)
-11/20
b)
11/20
c)
8.8
d)
-8.8
36.
What operation would you perform first, and in what order would you perform them, to solve 5 - 3x = 19 ?
a)
add 3x, divide by 5
b)
add 5, divide by 3
c)
subtract 5, divide by -3
d)
subtract 5, divide by 3
37.

John took a taxi from the airport to his home. The taxi driver charged an initial fee of $6 plus $2.10 per mile. How far could Jon travel if he only had $41?

a)

17

b)

16

c)

15

d)

14

38.

Solve the inequality:

 5c + 54c  5-5c\ +\ 5\le-4c\ -\ 5  

a)

 c5c\ge5  

b)

 c10c\le-10  

c)

 c<5c<-5  

d)

 c10c\ge10  

39.

Write an inequality that corresponds to the graph.

a)

 0x<30\le x<3  

b)

 0<x<30<x<3  

c)

 0x30\le x\le3  

d)

 0<x30<x\le3  

40.

 4t327 or 3t+2>114t-3\le-27\ or\ 3t+2>11  

Solve the inequality

a)

 t6  or  t>3t\le-6\ \ or\ \ t>3  

b)

 6t>3-6\ge t>3  

c)

 t2  or  t>1t\ge-2\ \ or\ \ t>1  

d)

 2t<1-2\le t<1  

41.

 Solve:  5x= 10Solve:\ \ -5\left|x\right|=\ -10  Choose ALL correct answers.

a)

2

b)

-2

c)

5

d)

no solution

e)

-5

42.

 Solve for x,   3x39Solve\ for\ x,\ \ \ \left|3x-3\right|\ge9  

a)

 x4 or x2x\ge4\ or\ x\le-2  

b)

 2x4-2\ge x\ge4  

43.

 4t327 or 3t+2>114t-3\le-27\ or\ 3t+2>11  

Solve the inequality

a)

 t6 or t>3t\le-6\ or\ t>3  

b)

 6t>3-6\ge t>3  

c)

 t2 or t>1t\ge-2\ or\ t>1  

d)

 2t<1-2\le t<1  

44.

The number of decks of popular trading cards is a function f of the number of days d since the shipment arrived.


Calculate the average rate of change from day 0 to day 5.

a)

128320005 0=143.4\frac{1283-2000}{5\ -\ 0}=-143.4

b)

200012835 0= 143.4\frac{2000-1283}{5\ -\ 0}=\ 143.4

c)

5012832000=0.007\frac{5-0}{1283-2000}=-0.007

d)

5020001283=0.007\frac{5-0}{2000-1283}=0.007

45.

Solve the equation

 8x(6x4)=10+x8x-\left(6x-4\right)=10+x  

a)

x = 7

b)

x = -7

c)

x = -6

d)

x = 6

46.
Find the common difference: -34, -29, -24, -19, ...
a)
d = -5
b)
d = 5
c)
d = -6
d)
d = 6
47.

What is the 30th term of this sequence?

{26, 22, 18, 14, ... }

a)

-4

b)

-10

c)

-90

d)

124

48.
Find the 10th term of this sequence:
{96, 48, 24, 12, ... }
a)
3/16
b)
1/2
c)
6
d)
3
49.
The first term in an arithmetic sequence is 142 and the common difference is 55.  What is the 12th term?
a)
747
b)
605
c)
1617
d)
802
50.
What's a way to define absolute value?
a)
The value of a number
b)
The opposite of a number
c)
The distance of a number from zero
d)
The multiplicative inverse of a number
51.
Which graph matches the inequality
r ≥ -6?
a)
A
b)
B
c)
C
d)
D
52.
After you split into two inequalities, what would they look like? 
a)
x + 7 > 1        
   
x + 7 > -1
b)
x + 7 > 1
c)
x + 7 > 1
X + 7 < -1
53.

At what approximate time did d=31 miles ?

a)

1.47 hours

b)

4.1 hours

c)

2 hours

d)

3 hours

54.
Solve 3| −8x| + 8 = 80
a)
{-7/3, 7/3}
b)
{-3,3}
c)
{11/3,-11/3}
d)
No Solution
55.
Is this a function? Explain.
a)
Yes; it passes the horizontal line test.
b)
No; it is not a straight line.
c)
Yes; it passes the vertical line test.
d)
No; there is a line connecting the dots.
56.

|x| > 7 Is this an "and" or an "or"?

a)

And

b)

Or

57.

Solve |x| + 7 > 16

a)

-9 < x < 9

b)

x > 9 or x < -9

c)

x > 9 or x < -9

d)

-9 ≤ x < 9

58.

Solve 4|x - 1| < 24

a)

-7 < x < 7

b)

-5 < x < 7

c)

x < -5 or x > 7

d)

-5 < x < 5

59.

Solve |x - 4|- 3 < 5

a)

-12 < x < 12

b)

No solution

c)

-4 < x < 12

d)

x > -4 or x < 12

60.

|2x| ≤ 14; Is this an AND or an OR?

a)

AND

b)

OR

61.

Solve -4|x + 1| < -20

a)

x < -6 or x > 4

b)

-6 < x < 4

c)

-4 < x < 4

d)

x < -4 or x > 4

62.
A repeating decimal and a terminating decimal which of the following in common.
a)
both are whole numbers
b)
both are irrational
c)
both are rational
d)
they have nothing in common
63.

 3\sqrt{3}  is considered a(n)...

a)

Whole number

b)

Integer

c)

Irrational Number

d)

Rational Number

64.

Which algebraic sentence represents the verbal statement, the product of 4 and the difference of a number and 13 equals 18?

a)

4n13=184n-13=18

b)

4n13=18\frac{4}{n-13}=18

c)

4(n13)=184(n-13)=18

d)

4n13=18\frac{4n}{13}=18

65.

What sets of numbers do 5/6 NOT belong to?

a)

whole

b)

rational

c)

real

d)

all of the above

66.

What property is illustrated by the following equation


(5/11)(11/5) = 1

a)

additive inverse

b)

multiplicative inverse

c)

identity

d)

multiply identity

67.

What algebraic expression matches this:


ten less than the cube of a number

a)

x3 - 10

b)

10 - x3

c)

3x - 10

d)

10 - 3x

68.
Solve.
-5|x - 4| > -20
a)
x < 8 and x > 0
b)
x > 8 or x < 0
c)
all real numbers
d)
no solution
69.
Identify the property
a + b = b + a
a)
Identity of addtion
b)
commutative of addition
c)
associative of addition
d)
symmetric
70.
Pick the answer that is an example of the inverse property of multiplication
a)
5 ⋅ 0 = 5
b)
5 ⋅ 1/5 = 1
c)
5 - 5 = 0
d)
5 ⋅ 1 = 5
71.
Identify the property
a(b + c) = ab + ac
a)
Associative of addtion
b)
Distributive
c)
Commutative of addition
d)
Inverse
72.
Identify the property 
a + (-a) = 0
a)
Inverse of addition 
b)
Identity of addtion
c)
associative of addition 
d)
symmetric
73.

If you multiply a number and its multiplicative inverse, what do you get?

a)

0

b)

1

c)

Not enough information

d)

None of these

74.
Identify the property
a + b = b + a
a)
Identity of addtion
b)
commutative of addition
c)
associative of addition
d)
symmetric
75.
The x-intercepts of a quadratic equation are known as the _____.
a)
vertices
b)
squares
c)
zeros
d)
formulas
76.

Write the equation of a graph.

a)

y=3x+3y=3x+3

b)

y=3x+3y=-3x+3

c)

y=3x3y=3x-3

d)

y=3x3y=-3x-3

77.

What is the y-intercept?

a)

8

b)

5

c)

10

d)

-6

78.
What are the x-intercepts of the equation?
y=x2+11x+10
a)
10, 11
b)
10,1
c)
-10,-1
d)
2,5