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Yangming Academy SAT math Review questions
Yangming Academy SAT math Review questions
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Yangming Academy SAT math Review questions
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61 cards
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Questions
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Answers
1
For a general form of parabola is
f(x)=ax+b
f(x)=ax2+bx+c
f(x)=ax+bx+c
f(x)=ax3+bx+c
2
\left(\frac{-b+\sqrt{b^2-4ac}}{2a}\right)\left(\frac{-b-\sqrt{b^2-4ac}}{2a}\right)=
a/b
any of them are not correct
\frac{c}{a}
all of them are correct
b/a
-\frac{b}{2a}
3
which function has the following graph
y=x
y = ax
y=x3
y=\sqrt{x}
y =|x|
y = x2
4
a^0 =
2a
1
any of them are not correct
0
all of them are correct
a
5
which function has the following graph
y=x
y =|x|
y = x2
y=\sqrt{x}
y=x3
y = ax
6
which function has the following graph
y = ax
y=\sqrt{x}
y=x
y =|x|
y=x3
y = x2
7
\sqrt[3]{a}\times\sqrt[3]{a}\times\sqrt[3]{a}=
3a
a3
any of them are not correct
all of them are correct
a
a0
8
The circle, from x
2
+y
2
=r
2
to (x+h)
2
+(y-k)
2
=r
2
shift down by k units and shift right by h units
Reflect over the x axis
shift up by k units and shift left by h units
shift down by k units and shift right by h units
shift up by h units and shift right by k units
shift down by k units and shift left by h units
9
ax
2
+bx+c=0 has only one real solution
b^2-4ac=0
b^2-4ac>0
b^2-4ac<0
No correct answer
10
f(x)=a(x-m)(x-n), x-intercepts are
a and m
a and n
No correct answer
m and n
11
f(x)=ax
2
+bx +c, what the value of x if it reach its maximum or minimum value
x= -\frac{b}{2a}
x=c
x=\frac{b}{2a}
x=b/a
12
y=ax+b, what is the x-intercept
all of them are correct
a/b
-\frac{b}{a}
a
any of them are not correct
b/a
13
when a is not zero, a
0
=
-1
0
1
2
14
which function has the following graph
y = ax
y=x3
y = x2
y =|x|
y=x
y=\sqrt{x}
15
f(x)=a(x-h)
2
+k, when a>0
f(x)=0
f(x)>0
f(x) has minimum value
f(x) has maximum value
16
ax
2
+bx+c=0 has no solution
b^2-4ac<0
b^2-4ac>0
b^2-4ac=0
No correct answer
17
a
2
-b
2
(a-b)(a-b)
(a+b)(a-b)
(a+b)(a+b)
（a+b)2
18
\sin^2x+\cos^2x=
all of them are correct
x
0
2x
1
any of them are not correct
19
from f(x) to f(x)-k is
shift right by k units
Reflect over the x axis
shift down by k units
shift left by k units
shift up by k units
20
two lines have the equations y=mx+c and y = nx+d, If they have one real solution
mn=-1
m\nen
m+n=1
all of them are correct
m=n
any of them are not correct
21
ax^2+bx+c=0 has two solutions
x
1
and
X2
,
so
x1
\times
x2
=
all of them are correct
b/a
any of them are not correct
-\frac{a}{b}
\frac{c}{a}
a/b
22
from f(x) to -f(x)
Reflect over the x axis
shift down by k units
shift up by k units
shift left by k units
shift right by h units
23
y=ax+b, what is the slope
-\frac{b}{a}
a
any of them are not correct
a/b
all of them are correct
b/a
24
for f(x)=ax
2
+bx+c, the vertex is
\frac{-b\pm\sqrt{b^2-4ac^{ }}}{2a}
(a, c)
（a, b)
(-\frac{b}{2a}, f(- \frac{b}{2a}))
25
ax
2
+bx+c=0 has no solution
b^2-4ac<0
b^2-4ac>0
b^2-4ac=0
No correct answer
26
two lines have the equations y=mx+c and y = nx+d, If they have no solution
m+n=1
m=n, and c\ned
all of them are correct
any of them are not correct
m\nen
mn=-1
27
ax
2
+bx+c=0 has only two real solutions
b^2-4ac<0
b^2-4ac=0
b^2-4ac>0
No correct answer
28
if ax
2
+bx+c=0 has two solutions,x
1
and x
2
, so x
1
+ x
2
=
\frac{c}{a}
-\frac{b}{2a}
\frac{-b\pm\sqrt{b^2-4ac^{ }}}{2a}
-\frac{b}{a}
29
from f(x) to f(x+h)
Reflect over the x axis
shift up by k units
shift down by k units
shift right by k units
shift left by h units
30
two lines have the equations y=mx+c and y = nx+d, If they are perpendicular
all of them are correct
any of them are not correct
m\nen
mn=-1
m+n=1
m=n, and c\ned
31
If Tom deposits m yuan to the bank with a yearly rate of r, after t years, how much he can withdraw from the bank
m(1-r)t
m(1+r)t
r(1+m)t
all of them are correct
r(1-m)t
any of them are not correct
32
from f(x) to f(x-h)
shift up by k units
Reflect over the x axis
shift down by k units
shift left by k units
shift right by h units
33
x^2+bx+\left(\frac{b}{2}\right)^2=
（x-b)2
(x+b)2
(x+b)(x-b)
\left(x+\frac{b}{2}\right)^2
34
(a+b)
2
=
(a+b)(a-b)
a2 - 2ab+b2
a2 + ab+b2
a2 + 2ab+b2
35
a^{-2} =
2a
any of them are not correct
\frac{1}{a^2}
\sqrt{a}
a
all of them are correct
36
if ax
2
+bx+c=0 has two solutions,
x
1
and
x
2
, so
x
1
\times
x
2
=
\frac{c}{a}
-\frac{b}{2a}
-\frac{b}{a}
\frac{-b\pm\sqrt{b^2-4ac^{ }}}{2a}
37
for f(x)=ax
2
+bx+c, which are x-intercepts
b
a
\frac{-b\pm\sqrt{b^2-4ac}}{2a}
-b/2a
38
f(x)=a(x-m)(x-n), x-coordinate of vertex is
(m-n)/2
\frac{m+n}{2}
m-n
m+n
39
which function has the following graph
y=x
y =|x|
y = x2
y = ax
y=\sqrt{x}
y=x3
40
\sqrt[n]{x^m} =
x^{m+n}
any of them are not correct
=x^{\frac{m}{n}}
x^{m-n}
(m+n)x
all of them are correct
41
for f(x)=ax
2
+bx+c, which is the y-intercept
c
-b/2a
b
a
42
two lines have the equations y=mx+c and y = nx+d, If they have many solutions
m=n, and c=d
mn=-1
all of them are correct
m+n=1
any of them are not correct
m\nen
43
\sqrt[3]{a}\times\sqrt[3]{a}=
a^{\frac{2}{3}}
any of them are not correct
all of them are correct
a2
a0
3a
44
(a-b)
2
=
(a+b)(a-b)
a2 - 2ab+b2
a2 + ab+b2
a2 + 2ab+b2
45
x>y if a <0, so
any of them are not correct
ax<ay
ax\leay
ax> ay
all of them are correct
ax = ay
46
(a+b)(a-b)=
（a+b)2
(a-b)2
(a+b)(a+b)
a2-b2
47
f(x)=a(x-m)(x-n)=0, what are the solutions
No correct answer
a and m
m and n
a and n
48
f\left(x\right)=ax^2+bx+c if it has maxmium or minimium value , x=
all of them are correct
\frac{c}{a}
-\frac{b}{2a}
a/b
any of them are not correct
b/a
49
ax^2+bx+c=0 has two solutions
x
1
and
X2
,
so
x1
+
x2
=
b/a
all of them are correct
-\frac{a}{b}
any of them are not correct
-\frac{b}{a}
a/b
50
y=ax+b, what is the Y-intercept
any of them are not correct
a/b
all of them are correct
b
b/a
a
51
which function has the following graph
y = ax
y=x3
y=\sqrt{x}
y=x
y =|x|
y = x2
52
ax+by=c, what is the slope
a/b
-\frac{b}{a}
any of them are not correct
-\frac{a}{b}
all of them are correct
b/a
53
f\left(x\right)=ax^2+bx+c , if f(m)=f(n), what is the value of \frac{m+n}{2}
-\frac{a}{b}
a/b
any of them are not correct
-\frac{b}{2a}
all of them are correct
b/a
54
x^mx^n =
all of them are correct
x^{mn}
(m+n)x
x0
any of them are not correct
x^{m+n}
55
\frac{x^m}{x^n} =
x^{m+n}
x^{mn}
any of them are not correct
(m+n)x
x^{m-n}
all of them are correct
56
f(x)=a(x-h)
2
+k, x-coordinate of vertex is
(a, h)
(h+k)/2
(a, k)
(h, k)
57
\left(\frac{-b+\sqrt{b^2-4ac}}{2a}\right)+\left(\frac{-b-\sqrt{b^2-4ac}}{2a}\right)=
all of them are correct
a/b
b/a
-\frac{b}{a}
\frac{c}{a}
any of them are not correct
58
\left(x^m\right)^n =
x0
x^{m+n}
(m+n)x
any of them are not correct
all of them are correct
x^{mn}
59
\sqrt{a}\times\sqrt{a}=
a
a0
all of them are correct
any of them are not correct
2a
a2
60
two lines have the equations y=mx+c and y = nx+d, If they are parellel
all of them are correct
any of them are not correct
mn=-1
m=n, and c\ne d
m+n=1
m+n=0
61
which function has the following graph
y = ax
y=x
y=\sqrt{x}
y = x2
y=x3
y =|x|
