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WorksheetsSpring Final Exam
Total questions: 60
Worksheet time: 4hrs 59mins
What is the inverse of multiplication?
square
square root
multiply
divide
Write the equation for this statement: When I multiply it by 4 and then subtract 9 the answer is 23.
4x - 9 = 23
4(x - 9) = 23
23 - 9 = 4x
x = 8
What is the solution to 34 – h = 30.
h = 5
h = -4
h = 4
What is the inverse of ‘add 3’?
multiply by 3
add 3
subtract 3
divide by 3
round off 3
Solve for the unknown number in x + 7 = 18.
18
26
25
11
Solve for x:
6x+4=632
36
12
610
when b = 3
Evaluate the expression: 5a + b for a= 6 and b= 3
33
36
30
59
3+x=19
What is the first step?
Add 3 to both sides
Subtract 3 from both sides
Multiply by 3 on both sides
Divide by 3 on both sides
m - 14 = 76
m = 90
m = 52
m = -62
m = 80
18 = k - 22
k = 32
k = -4
k = 4
k = 40
13x = 65
x = 4
x = 5
x = -3
x = 7
16 = m/8
m = 98
m = 128
m = 2
m = 136
-60 = 5a
a = 12
a = -12
a = 300
a = -300
4x+10=14
16
12
7
6(3x-5) -7x=25
x= 5
x= 6
x= -5
x= -6
6 = 15(t + 2) + 9t
t= -2
t= -1
t= -3
t= -4
4 - 2(x - 3) = 24
6(3x−5)−7x=25
x=6
x=−6
x=5
x=−5
5 (3m - 6) = 6 (2m - 3)
4
-4
16
-16
Answer not here
Solve.
−3(x−8)=87
x = -21
x = 21
x = 37
x = -37
5h - 6 - h + 10 = 12
h= 12
h= 2
h= 0
h= 5
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?
55 + x = 145
145x = 55
55 - x = 145
145 (55) = x
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.
18c=6
c + 6= 18
c +18 = 6
3c=18
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 ?
b ÷ 3 = 27
3b = 27
27 = b + b + b
3 ÷ b = 27
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?
x +10 = 24
x - 10 = 24
10x = 24
x + 24 = 10
Solve |x|= 9
x = 9
x = -9 or x = 9
No Solution
x = -9
|x - 6|= 14
x = 8
x = 20
x = -8 or x = 20
No Solution
|7x + 2| = 23
x = −725 or x = 3
x = −3 or x = 725
x = 3
No Solution
-2|x - 8| = -12
no solution
x = 14
x = 2
x = -2
x = 14
Solve x2=16 .
x = 4
x = -4, 4
x = -4
x = 8
Solve: (y − 1)2 = 25
± 5
6
− 4 , 6
5
Solve: x2 = − 144
12
−12
±12
No Solution
Solve: 3c2 − 17 = 10
3
9
±3
±9
Solve: 5(n −7)2 = 500
−3 , 17
3 , 17
± 17
No Real Solution
Use the Zero Product Property to solve for the values of x.
(x+2)(x−3)=0
2 and 3
-2 and -3
2 and -3
-2 and 3
Solve using the Zero Product Property:
(3x+2)(x+1)=0
x=1, x=32
x=−1, x=−32
x=2, x=1
x=−1, x=32
Solve.
r(r+7)=0
r=0, r=−7
r=0, r=7
r=−7
r=7
Solve
b=4/5, b=3
b=4, b=-3
b=1/5, b=3
b=4/5, b=-3
81x2=25
x= 5/9, -5/9
x= -5/9, -5/9
x= 5/9, 5/9
Solve by factoring:
x2−11x+19=−5 x=4,6
x=−8, −3
x=3,8
x=−12,−2
Solve the following quadratic equation: x2+25=10x
x=−5
x=5
x=0
Solve for x.
x=5
-1
-3, 25
-25
25
Solve for x.
x +3=2
2
5
1
-2
−8 + 5x − 5 = −3
x = 25
x = 3
x = 6
x = 18
In order to use the quadratic formula you must first...
Get the equation set equal to 0 and identify a, b, & c
Move the constant to the right side of the equation
Factor
Cry because it is scary
a, b, and c for
the quadratic equation:
4x2 – 8x = 3
