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WorksheetsReview Quiz (Semi-Final) Gen.Math
Total questions: 201
Worksheet time: 16hrs 18mins
Find the x-intercept(s), if one exists.
(1, 0)
(-1, 0)
(1, 0), (-1, 0)
(0, 0), (1, 0)
What are the coordinates of the y-intercept, if one exists.
(0, 0)
(0, 1)
(0, -1)
there isn't one
What are the x and y intercepts?
(4, 0) and (0, -4)
(-4, 0) and (0, -4)
(-4, 0) and (0, 4)
(0, 0) and (0, -4)
Find the y-intercept.
(0, -2)
(0, 2)
(0, 4)
it is undefined
What is the equation of the horizontal asymptote?
y = 0
y = -2
y = 2
There isn't one
What are the asymptotes?
x=-1 y = -3
x=1 y = -3
x=-1 y =3
x=1, y=3
What are the x intercepts of h(x)=x2−x−6x2−9
x=3, −3
x=−2
x= −3
x=3
What is the y intercept of h(x)=x2−x−6x2−9
1
−32
23
x=3
What is the vertical asymptote of f(x)=x+4x2+3x−3
x=4
no vertical asymptote
x=−4
y=1
What is the horizontal asymptote of f(x)=x+4x2+3x−3
y=4
no horizontal asymptote
y=−4
y=1
What are the x interecepts of f(x)=x+4x2+3x−3
y=3, −3
x=.8, −3.8
x=−1, 1
x= −.8, 3.8
What is the y interecept of f(x)=x+4x2+3x−3
y=−43
y=.8
y= 1
x= −3
Solve for x.
-4
0
21
4
(⅜)x + ½ = ¾
2/3
3/2
1
-3
24 = 3(3x −7)
x = −9
x = 5
x =3
x = 7
Solve:
2(2x + 3) = -6(x + 9)
Solve:
7x + 19 = -2x + 55
5(2x + 6) = −4(−5 −2x)+ 3x
x =−20
x = 20
x =−10
x = 10
−5(4x − 2) = −2(3 +6x)
x = 2
x = 8
x = −2
x = −8
Try on your own. Solve for y.
-1
0
1
-2
True or False.
The LCD of the equation x − 1x−x3= 6 is x(x - 1).
True
False
What is the LCD of the equation (3x + 2)22 + 3x + 21 − 3 = 0 ?
3x + 2
(3x + 2)2
(3x + 2)(3x + 2)2
3(3x + 2)
Find the solution set of x1+2x6= x
±7
±5
±4
±2
Solve for x: 35−x2=x8
2
18/5
26/5
6
Solve the equation for x: x+22+x −25=x2−46
7
6
14
0
Solve for x: x−25+x2−2xx−6=x1
x = 5
x = 54
x = 1
x = - 4
Solve: x−22−x+11=x2−x−22
x = 2
x = -2
x = 6
x = 3
Solve 3xx−2=3x1+2
0
−53
-2
−51
Solve for y 3y+2−4y−1=32
y = -9
y = -3
y=1
y = 3
n−82n+16=2n−161−21
−523
7
−4
34
x2+8x+127x−49=x+63+x+21
−2
5
6
361
a+11=a2+a4a+12+a1
−413
−7, 1
−1
7
k+75=k+31+k2+10k+212k−2
2
1
−5
5
x+31=x+23−x2+5x+67
5
0
8
3
Solve for x: x−8=−x15
x = 5, x = 3
x = −5, x = −3
x = 5
x = −3
Solve for x: x+22+x−25=x2−46
7
6
14
0
Solve for x: x26x+18+x1=x3
x = 4.5
x = -4.5
x = 3
x = -3
Solve for x: x+25=x−41
x = 5
x = 4
x = 5.5
x = -4
3/5
3/4
1/4
4/5
-25/3
4
-6
25/3
2
1
-1
-4
3/4
4/3
2/5
1/4
2
3
4
5
5
-2
3
-7
13/5
-13/5
5/13
-5/13
1
5
-2
-1
7
-3
12
14
1/2
1/3
1/5
1/4
2
5
-2
-5
1
1/3
2
2/3
5
7
12
21
5/2
2/5
-5/2
-2/5
3
5
1
7
21
27
5
31
-1
-5
-2
-3
4/3
5/3
2/3
1/3
0
-1
-2
-3
5/4
2/5
1/3
4/3
5 and 1
5 and 3
1 and 7
3 and 5
Match this number line
to its correct solution.
x > 2
x > 2
x < 2
x < 2
Match this number line
to its correct solution.
x > -2
x < -2
x > -2
x < -2
Solve the linear inequality.
x < 0
x > 0
x < 3
x > 3
Solve the linear inequality.
x > 1
x > 5
x > -1
x < -1
Solve the linear inequality.
x < 5
x > 5
x < 5
x > 5
Solve the linear inequality.
-5x < 15
(Note: When dividing
by a negative,
'flip' the inequality symbol.)
x > 3
x < 3
x > -3
x < -3
Solve the linear inequality.
x > -2
x < -2
x < 2
x > 2
Solve the linear inequality.
y>−314
y<−314
y>−6
y<−6
Match this number line
to its correct solution.
x > 1
x > 1
x < 1
x < 1
Match this number line
to its correct solution.
x > -2
x > -2
x < -2
x < -2
Solve −2(2x−7)≤54
x≥−10
x≤−10
x≥10
x≤10
Match the given graph with the inequality.
x≤4
x<−4
x≥−4
x<4
"At least" and "no fewer than" are clue phrases for the symbol
<
>
≤
≥
x=10 makes the inequality −2x−13>31 ____.
true
false
Solve −2k>18
k>20
k<−9
k>−9
k<16
Write an inequality for this situation: You are driving along a highway for which the maximum speed limit is 55 mph.
s<55
s>55
s≤55
s≥55
"At most" and "no more than" are both clue phrases for the symbol
<
>
≤
≥
When you graph an inequality on a number line, you should use an open circle/dot when the inequality has which symbols?
≤,≥
<,>
≥,>
<,≤
Solve −2x+3(6−4x)≤116
x≤−7
x≥−7
x≥29
x≤29
Solve 20<4x
x>5
x>16
x<5
x>24
x=15 makes the inequality x+9>21 ____.
true
false
When you graph an inequality on a number line, you should use a closed circle/dot when the inequality has which symbols?
≤,≥
<,>
≥,>
<,≤
Solve the inequality in interval notation
(−∞,−3)∪(3,∞)
(−3,3)
[−∞,−3]∪[3,∞]
[−3,3]
Solve the inequality in interval notation
(−∞,4)∪(7,∞)
(4,7]
[−∞,4]∪[7,∞]
[4,7)
Solve the inequality in interval notation
(−∞,−3)∪(4,∞)
(−3,4)
[−∞,−3]∪[4,∞]
[−3,4]
Solve the inequality in interval notation
(−∞,−2)∪(2,∞)
(−2,2)
(−∞,−2]∪[2,∞)
[−2,2]
Solve the inequality in interval notation
(−∞,−12)∪(1,∞)
(−12,1)
(−∞,−12]∪[1,∞)
[−12,1]
Solve the inequality in interval notation
(−∞,−1)∪(4,∞)
(−1,4]
(−∞,−1]∪[4,∞)
[−1,4]
Solve the inequality in interval notation
(−∞,3)∪(5,∞)
(3,5)
(−∞,3]∪[5,∞)
[3,5]
Solve the inequality in interval notation
(−∞,−21)∪(1,∞)
(−21,1]
(−∞,−21]∪[1,∞)
[−21,1)
Solve the inequality in interval notation
[−∞,−2]∪[0,1]
(−∞,−2)∪(0,1)
(−∞,−2]∪[0,1]
(−∞,−2)∪[0,1]
Solve the inequality in interval notation
[−3,1]∪[4,∞]
(−3,1)∪(4,∞)
(−3,1]∪[4,∞)
[−3,1]∪[4,∞)
≤ is an inequality symbol that tells us our solution is ___________ a value
less than
less than or equal to
greater than
greater than or equal to
> is an inequality symbol that tells us our solution is ___________ a value
less than
less than or equal to
greater than
greater than or equal to
≥ is an inequality symbol that tells us our solution is ___________ a value
less than
less than or equal to
greater than
greater than or equal to
< is an inequality symbol that tells us our solution is ___________ a value
less than
less than or equal to
greater than
greater than or equal to
Solution sets to inequalities can be graphed on__________
number lines
tables
calculators
in the sky
Solve the following inequality:
−2b+4>−6
b>5
x>5
b=5
b<5
Solve the following inequality:
3x+15≤21
x≥2
x=2
x≤2
x<2
Solve the following inequality:
2d−1≥3
d≥8
d=8
d≤8
d≥2
Solve the following inequality:
2p+5≥3p−10
p≤15
p<15
p≤1
p≥15
Solve the following inequality:
5(k+8)−7≤23
k≤2
k=−2
k≤−2
k<2
Solve the following inequality:
4k+15>−2k+3
k>2
k=−2
k>−2
k<2
Solve the following inequality:
2(−3m−5)≥−28
m=3
m≥3
m≥623
m≤3
Solve the following inequality:
−6(w+1)<2(w+5)
w=−2
w>−2
w<2
w>2
Which inequality correctly matches what is graphed on the number line?
x>3
x<3
x=3
x≥3
Which inequality correctly matches what is graphed on the number line?
x=6
x≥6
x<6
x≤6
Which inequality correctly matches what is graphed on the number line?
x=0
x≥0
x>0
x<0
Which inequality correctly matches what is graphed on the number line?
x≤−3
x≥−3
x<−3
x<3
If f(x)=x+5, what is f-1(x)?
(x + 5)2
x - 5
(x + 5)-1
undefined
g(x)=8x
Find g−1(x)
x8
8x
81x
x÷8
f(x)=5x+1
Find f−1(x)
1x−5
5x−1
x−51
5x−1
f(x)=6x−2
Find f−1(x)
2x−6
6x+2
2x+6
6(x+2)
f(x)=58x−3
Find f−1(x)
5(8x+3)
85x+3
85(x+3)
85x+3
f(x)=56x+3
Find f−1(x)
65x−3
65(x−3)
65x−3
65x+3
Find the inverse of f(x)=3x+2
f−1(x)=3x−2
f−1(x)=2x−3
f−1(x)=23x
f−1(x)=32+x
Find the inverse of f(x)=−5x−7
f−1(x)=−75x+7
f−1(x)=7x+5
f−1(x)=−5x+7
f−1(x)=−5+x7
Find the inverse of f(x)=−43x+5
f−1(x)=5(x−34)
f−1(x)=−43(x−5)
f−1(x)=−34(x−5)
f−1(x)=−5(x−43)
Find the inverse of f(x)=−85x+10
f−1(x)=−58x−10
f−1(x)=10(x−58)
f−1(x)=−85(x−10)
f−1(x)=−58(x−10)
Which is f -1(x)?
f -1(x) = 5x + 3
f -1(x) = 5x - 3
f -1(x) = 5x - 15
f -1(x) = 1/5(x) + 3/5
Which is f -1(x)?
f -1(x) = 3x + 5
f -1(x) = 3x - 5
f -1(x) = 3x - 15
f -1(x) = 3x + 15
What is the inverse of the points (1,3)(2,4)(6,2)?
Find the inverse.
f(x)=2x-2
FInd the inverse of the function.
f(x)=23x−15
f−1(x)=−x−5
f−1(x)=3x+5
f−1(x)=315+2x
f−1(x)=32x−319
f(x) = 1/4x - 7
x−7<−12
x<−22
x<−5
x<−19
x<−8
3k+1>22
k>4
k>7
k<−2
k<9
5x+2≤−48
x<−4
x<6
x≥−8
x≤−10
6x−4≥−2x
x≤21
x≤41
x≥21
x≥41
Tell me what went wrong when solving this inequality.
What is the first step to solving the inequality?
−19≤3x−5≤1
Divide all three sides by 3x
Add 19 to all three sides
Add 5 to all three sides
Subtract 1 from all three sides
−15<3x+6<−12
−15<x<−12
−3>x>−6
−7<x<−6
−1>x>−7
Fill in the blank using the correct inequality sign.
x _ 2
(a)
What is the correct inequality for the following graph?
×>3
x≥3
x<3
x≤3
−2<x<5
−2>×≤5
−2<x≤5
−2≥x≤5
An inequality is
A statement that two algebraic expressions are equal
A point on a number line
An equation with no solutions
A statement consisting of algebraic expressions related by <,≤,>, or ≥
6+2х=10
-2
2
3
4
solve;
х2+31=х43
12
-3
6
х6+45=−47
-2
-3
2
-5
1
3
12
-3
2 or 6
1 or 13
4 or 2
1 or 12
3
2
5
4
13
16
15
18
-1/3 2
5 3
1/2 4
1 3
8х+10х=1
40/9
4
5
-40/9
1.2х=15
3
5
18
10
Work out the inverse function
y = x + 9
y = x - 9
x = y + 9
y = 9 - x
x = 9 + y
Work out the inverse function
y = x - 1
y = 1 - x
x = y + 1
y = x + 1
x = 1 + y
Work out the inverse function
y = 3x
y = x/3
x = y/3
y = 3/x
x = 3/y
Work out the inverse function
y = x/3
y = -3x
y = -6x
y = 3x
y = 1/6x
Work out the inverse function
x = 4x
x = x/4
x = x4
x = x/8
x = x8
Work out the inverse function
y = 2x + 5
y = 2x+5
y = 2x−5
y = 5x+2
y = 5x−2
Work out the inverse function
y = 4x - 7
y = 4x+7
y = 4x−7
y = 7x+4
y = 7x−4
Work out the inverse function
y = 2x x 1
y = 1 (x-2)
y = 2 (x+1)
y = 2 (x-1)
y = 1 (x+2)
Work out the inverse function
y = 3x−4
y = 3x+4
y = 3x-4
y = 4x+3
y = 4x-3
Work out the inverse function
x = 4x+9
x = 3x+9
x = 3x-9
x = 4x-9
x = 4x+9
f(x)=3x Find f−1(x)
3x
x3
0.3x
3x
f(x)=6x−2
Find f−1(x)
2x−6
6x+2
2x+6
6(x+2)
Which is the inverse of the table?
If this is the table for f(x), what is the correct table for f-1(x)?
Find the inverse of f(x)=41x−7
f-1(x) = -4(x-7)
f-1(x) = 4(x+7)
Which is f -1(x)?
f -1(x) = 3x + 5
f -1(x) = 3x - 5
f -1(x) = 3x - 15
f -1(x) = 3x + 15
f(x)=73x+10
Find f−1(x)
7x−310
37x−10
37(x−10)
37x−10
