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Spring Final Exam

Total questions: 60

Worksheet time: 4hrs 59mins

Name
Class
Date
1.

What is the inverse of multiplication?

a)

square

b)

square root

c)

multiply

d)

divide

2.

Write the equation for this statement: When I multiply it by 4 and then subtract 9 the answer is 23.

a)

4x - 9 = 23

b)

4(x - 9) = 23

c)

23 - 9 = 4x

d)

x = 8

3.

What is the solution to 34 – h = 30.

a)

h = 5

b)

h = -4

c)

h = 4

4.

What is the inverse of ‘add 3’?

a)

multiply by 3

b)

add 3

c)

subtract 3

d)

divide by 3

e)

round off 3

5.

Solve for the unknown number in x + 7 = 18.

a)

18

b)

26

c)

25

d)

11

6.

Solve for x:

x+46=6\frac{x+4}{6}=6  

a)

32

b)

36

c)

12

d)

106\frac{10}{6}  

7.
b2 + 4
when b = 3
a)
10
b)
12
c)
13
d)
11
8.

Evaluate the expression: 5a + b for a= 6 and b= 3

a)

33

b)

36

c)

30

d)

59

9.

3+x=19

What is the first step?

a)

Add 3 to both sides

b)

Subtract 3 from both sides

c)

Multiply by 3 on both sides

d)

Divide by 3 on both sides

10.

m - 14 = 76

a)

m = 90

b)

m = 52

c)

m = -62

d)

m = 80

11.

18 = k - 22

a)

k = 32

b)

k = -4

c)

k = 4

d)

k = 40

12.

13x = 65

a)

x = 4

b)

x = 5

c)

x = -3

d)

x = 7

13.

16 = m/8

a)

m = 98

b)

m = 128

c)

m = 2

d)

m = 136

14.

-60 = 5a

a)

a = 12

b)

a = -12

c)

a = 300

d)

a = -300

15.
Solve 2x - 3 = 1 
a)
3
b)
2
c)
1
d)
-2
16.
Solve    -3x + 5 = -16
a)
9
b)
8
c)
-7
d)
7
17.
Solve
a)
5
b)
-6
c)
6
d)
21
18.

x4+10=14\frac{x}{4}+10=14

a)

16

b)

12

c)

7

19.

6(3x-5) -7x=25

a)

x= 5

b)

x= 6

c)

x= -5

d)

x= -6

20.

6 = 15(t + 2) + 9t

a)

t= -2

b)

t= -1

c)

t= -3

d)

t= -4

21.
Solve the equation: 
4 - 2(x - 3) = 24
a)
- 7
b)
7
c)
14
d)
- 14
22.

6(3x5)7x=256\left(3x-5\right)-7x=25  

a)

x=6x=6  

b)

x=6x=-6  

c)

x=5x=5  

d)

x=5x=-5  

23.

5 (3m - 6) = 6 (2m - 3)

a)

4

b)

-4

c)

16

d)

-16

e)

Answer not here

24.

Solve.

3(x8)=87-3\left(x-8\right)=87  

a)

x = -21

b)

x = 21

c)

x = 37

d)

x = -37

25.

5h - 6 - h + 10 = 12

a)

h= 12

b)

h= 2

c)

h= 0

d)

h= 5

26.
5x+1=2x-5
a)
x=-2
b)
x=-6
c)
x=3
d)
x=.5
27.
6(6v +6) - 5 = 1 + 6v
a)
1
b)
-1
c)
no solution
d)
all real numbers
28.
2x + 3 = 2x + 7
a)
0
b)
4
c)
no Solution
d)
All real numbers
29.
2x + 3 = 2x + 3
a)
0
b)
1
c)
no solution
d)
all real numbers
30.

Javier has saved $55 toward the purchase of an IPOD. The IPOD costs $145. Which equation represents the amount Javier needs to save to by the IPOD?

a)

55 + x = 145

b)

145x = 55

c)

55 - x = 145

d)

145 (55) = x

31.

Darshany bought three candy bars for a total of $18.00. How much did each candy bar cost? Write an equation to solve this problem. Use c as your variable.

a)

18c=6

b)

c + 6= 18

c)

c +18 = 6

d)

3c=18

32.

Select the equation that best represents the situation: 



After eating at the restaurant, Jude, Luke, and Michael decided to divide the bill evenly. If each person paid 27 dollars, what was the total of the bill ?

a)

b ÷\div 3 = 27

b)

3b = 27

c)

27 = b + b + b

d)

3 ÷\div b = 27

33.

Charlie has some candy. He shares ten pieces with Betsy and is left with 24 pieces. Which equation should I use to solve this problem?

a)

x +10 = 24

b)

x - 10 = 24

c)

10x = 24

d)

x + 24 = 10

34.

Solve |x|= 9

a)

x = 9

b)

x = -9 or x = 9

c)

No Solution

d)

x = -9

35.

|x - 6|= 14

a)

x = 8

b)

x = 20

c)

x = -8 or x = 20

d)

No Solution

36.

|7x + 2| = 23

a)

x = 25 7 or x = 3x\ =\ -\frac{25\ }{7}\ or\ x\ =\ 3

b)

x = 3 or x = 257x\ =\ -3\ or\ x\ =\ \frac{25}{7}

c)

x = 3x\ =\ 3

d)

No Solution

37.

-2|x - 8| = -12

a)

no solution

b)

x = 14

x = 2

c)

x = -2

d)

x = 14

38.

Solve x2=16 .x^2=16\ .

a)

x = 4

b)

x = -4, 4

c)

x = -4

d)

x = 8

39.

Solve: (y  1)2 = 25\left(y\ -\ 1\right)^2\ =\ 25  

a)

± 5\pm\ 5  

b)

66  

c)

 4 , 6-\ 4\ ,\ 6  

d)

55  

40.

Solve: x2 =  144x^2\ =\ -\ 144  

a)

1212  

b)

12-12  

c)

±12\pm12  

d)

No Solution

41.

Solve: 3c2  17 = 103c^2\ -\ 17\ =\ 10  

a)

33  

b)

99  

c)

±3\pm3  

d)

±9\pm9  

42.

Solve: 5(n 7)2 = 5005\left(n\ -7\right)^2\ =\ 500  

a)

3 , 17-3\ ,\ 17  

b)

3 , 173\ ,\ 17  

c)

± 17\pm\ 17  

d)

No Real Solution

43.

Use the Zero Product Property to solve for the values of x.

(x+2)(x3)=0\left(x+2\right)\left(x-3\right)=0  

a)

2 and 3

b)

-2 and -3

c)

2 and -3

d)

-2 and 3

44.

Solve using the Zero Product Property:
(3x+2)(x+1)=0\left(3x+2\right)\left(x+1\right)=0  

a)

x=1, x=23x=1,\ x=\frac{2}{3}  

b)

x=1,  x=23x=-1,\ \ x=-\frac{2}{3}  

c)

x=2, x=1x=2,\ x=1  

d)

x=1,  x=23x=-1,\ \ x=\frac{2}{3}  

45.

Solve.  

r(r+7)=0r\left(r+7\right)=0  

a)

r=0, r=7r=0,\ r=-7  

b)

r=0, r=7r=0,\ r=7  

c)

r=7r=-7  

d)

r=7r=7  

46.

Solve

a)

b=4/5, b=3

b)

b=4, b=-3

c)

b=1/5, b=3

d)

b=4/5, b=-3

47.
Solve by factoring: x2 - 9x + 20 = 0
a)
x = -4 and x = -5
b)
x = 20 and x = -9
c)
x = 4 and x = 5
d)
x = -4 and x = 5
48.
Solve by factoring: x2 + 3x - 18 = 0
a)
x = -3 and x = 6
b)
x = 3 and x = -6
c)
x = -9 and x = 2
d)
x = 9 and x = -2
49.

81x2=25

a)

x= 5/9, -5/9

b)

x= -5/9, -5/9

c)

x= 5/9, 5/9

50.

Solve by factoring:

x211x+19=5x^2-11x+19=-5  

a)

x=4,6x=4,6  

b)

x=8, 3x=-8,\ -3  

c)

x=3,8x=3,8  

d)

x=12,2x=-12,-2  

51.

Solve the following quadratic equation: x2+25=10xx^2+25=10x  

a)

x=5x=-5  

b)

x=5x=5  

c)

x=0x=0  

52.

Solve for x.
x=5\sqrt{x}=5  

a)

-1

b)

-3, 25

c)

-25

d)

25

53.

Solve for x.
x +3=2\sqrt{x\ +3}=2  

a)

2

b)

5

c)

1

d)

-2

54.

8 + 5x  5 = 3-8\ +\ \sqrt{5x\ -\ 5}\ =\ -3  

a)

x  = 25

b)

x = 3

c)

x = 6

d)

x = 18

55.
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.
56.

In order to use the quadratic formula you must first...

a)

Get the equation set equal to 0 and identify a, b, & c

b)

Move the constant to the right side of the equation

c)

Factor

d)

Cry because it is scary

57.
The quadratic equation can be used to solve quadratic equations that cannot be factored.
a)
True
b)
False
58.
Determine the values of
a, b, and c for
the quadratic equation: 
4x2 – 8x = 3
a)
a = 4, b = -8, c = 3
b)
a = 4, b =-8, c =-3
c)
a = 4, b = 8, c = 3
d)
a = 4, b = 8, c = -3
59.
Solve using the Quadratic Formula.
a)
A
b)
B
c)
C
d)
D
60.
Identify the 'a' value: y = 16x2 -8x -24
a)
16
b)
8
c)
-8
d)
-24