202 terms

TMT ACT prep - for kids who know trig - Version 1

Hundreds of practice problems that get you ready for the MCA and SAT and ACT math tests. Review problems meant for kids who have finished Algebra 2 and have started learning Trig.
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5

Skill 1
4√2

Skill 2
8.1

Skill 3
-42

Skill4
-6 * 7
-14

Skill 5
-5 + -9
16

Skill 6
11

Skill 7
-(-11)
-7a+7

Skill 8
-7(a-1)
-x+1

Skill 9
-(x-1)
18

Skill 10
2+4(5-1)
(-2)²

Skill 11
23

Skill 12
long divide 207 / 9
1/4 = 25%

Skill 13
.20 = 20%

Skill 14
9 miles/hour

Skill 15
Give the unit rate if the data gathered was: 27 miles per 3 hours.
.024

Skill 16
.8 X .03
<

Skill 17
.0025

Skill 18
n = -8

Skill 19
3

Skill 20
-5

Skill 20
6i

Skill 22
|x|

Skill 23
12√7

Skill 24
1

Skill 25
a^(x+y)

Skill 26
a^(x-y)

Skill 27
a^(xy)

Skill 28
x²+6x+9

Skill 29
9a^(2x)

Skill 30
a^(1/2)

Skill 31
a^(1/n)

Skill 32
a^(m/n)

Skill 33
1/(a^x)

Skill 34
(a/b)^(1/n)

Skill 35
1/a

Skill 36
6

Skill 37
4

Skill 38
11/10 or 1 and 1/10

Skill 39
4/9

Skill 40
-(1/5)

Skill 41
4/5

Skill 42
7/5

Skill 43
a/c+b/c

Skill 44
as two fractions added
3a/5

Skill 45
as one big fraction.
n

Skill 46
1 and 1/7

Skill 47
4/7

Skill 48
ab/c

Skill 49
ad/bc

Skill 50
ac/b

Skill 51
14/5 or 2 and 4/5

Skill 52
(x+3)(x+1)

Skill 53
Factor this:
(x-4)(x+2)

Skill 54
Factor this:
6(x+3)(x-1)

Skill 55
Factor this:
(x-5)(x+5)

Skill 56
Factor this:
(3x+1)(x+2)

Skill 57
Factor this:
a(b+c)

Skill 58
x²-4

Skill 59
Multipy this out (hint FOIL)
x²+5x+6

Skill 60
Multiply this out:
x²+8x+16

Skill 61
Multiply this out: (x+4)^2
(ab)² or a²b²

Skill 62
ab · ab
2pb

Skill 63
pb + pb
-6x+5

Skill 64
2x + 5 - 8x
a^4

Skill 65
rewrite aaaa using an exponent
a²b²

Skill 66
rewrite aabb using exponents
3m+3b

Skill 67
multiply this out: 3(m+b)
-2+x

Skill 68
multiply this out: -(2-x)
10a²

Skill 69
3a^2 + 7a^2
a

Skill 70
4a - 3a
-9a

Skill 71
-5a - 4a
10x

Skill 72
2(5x)
5

Skill 73
(10x^3)/(2x^3)
4y²/x² or 4x²y²

Skill 74
n = 16/3 or 5 and 1/3 or 5.333...(repeated)

Skill 75
a = 9/2 or 4 and 1/2

Skill 76
2a=9
a = -2

Skill 77
-a=2
n = 9

Skill 78
n = 1/7

Skill 79
2n+1=9n
no solution

Skill 80
n+1=n+8
n = -4

Skill 81
x ≥ -2

Skill 82
x = ±6

Skill 83
x = 2 or -4/3

Skill 84
x = 4 , -5

Skill 85
x = 2 , y = -3

Skill 86
x = 1 , y = 1

Skill 87
(-3±√17)/2

Skill 88
x = 9/4 or 2 and 1/4

Skill 89
show all steps:
100 , 121 , 144 , 169 , 196 , 225

Skill 90
8 , 27 , 64 , 125

Skill 91
5,280 feet

Skill 92
number of feet in 1 mile =
time

Skill 93
distance = rate * ?
16

Skill 94
___ ounces = 1 pound
52

Skill 95
___ weeks in 1 year
1.06 or ≈ 1

Skill 96
1 liter = ___ quart(s)
2.54

Skill 97
1 inch = ___ centimeters
2 cups = 1lb

Skill 98
1 pint of water = ____
opposite / hypotenuse

Skill 99
define Sin
adjacent / hypotenuse

Skill 100
define Cos
opposite / adjacent

Skill 101
define Tan
4

Skill 102
Mean of 3,3,4,6
3.5

Skill 103
Median of 3,3,4,6
3

Skill 104
Mode of 3,3,4,6
3

Skill 105
Range of 3,3,4,6
20

Skill 106
Outlier in 3,4,4,20
median , mean

Skill 107
If outliers exist use ___ not ____.
median = 5.5 , max = 7

Skill 108
This box and whisker has what median? max?
47

Skill 109
This stem and leaf has what maximum?
13

Skill 110
Evaluate f(x)=7x-1 at x=2
Vertical Line Test

Skill 111
Which test will tell you if a graph is a function?
No

Skill 112
(2,3) , (2,4) , (3,6) , (4,9) is this relation a function?
(straight line through 1st and 3rd quadrant)

Skill 113
sketch y = x
(parabola from origin upward)

Skill 114
sketch y = x²
(v-shape from origin upward)

Skill 115
sketch y = |x|
(sideways half parabola in 1st quadrant from origin)

Skill 116
(s-shape through 1st and 3rd quadrant)

Skill 117
sketch y = x^3
(curve increasing slope from 2nd quadrant to 1st quadrant crossing y axis at (0,1))

Skill 118
sketch y = 2^x
Reflection of x-axis, translated down 3, left 2

Skill 119
When looking at y = -(x+2)²-3 list transformations:
(-∞, 0),(0, ∞)

Skill 120
If f(x) = 1/x , what is domain f(x)?
3 , -1

Skill 121
Given a function f(x) = 3x²-2x-1 , what is its lead coefficient? constant?
True

Skill 122
T/F: You can use a regression equation as a line of best fit.
π

Skill 123
A radian is a measure of degrees which is 180 divided by what number?
60

Skill 124
A recursive sequence is as follows:
= 8 , Two solutions

Skill 125
Given a function f(x) = x2 -2x -1 Compute the discriminant then tell how many solutions f(x) will have.
True

Skill 126
Domain is like the inputs (x), range is like outputs (y). T/F
-4

Skill 127
Inverse of 4 =
1/4

Skill 128
Reciprocal of 4 =
Add

Skill 129
Sum means:
Subtract

Skill 130
Difference means:
Multiply

Skill 131
Product means:
Divide

Skill 132
Quotient means:
1 , 2 , 3 , 6

Skill 133
Factors of 6:
2x-y = 5

Skill 134
Rewrite this equation in standard form: y = 2x-5
y = 2x-7

Skill 135
Rewrite this equation in slope intercept form:
2x-y = 7
Point Slope Form

Skill 136
What form is this equation in?
(y-2) = 4(x-5)
10% growth

Skill 137
What is the rate of growth or decay in this exponential equation?
y = 4(1.1)^x
Quadratic Formula

Skill 138
... Is what formula?
Fraction

Skill 139
Rational numbers can be written as a ___________.
√2 or π

Skill 140
Give an example of an irrational #:
2 , 3 , 5 , 7

Skill 141
List the first 4 prime numbers:
cross out 7.5

Skill 142
Cross out the non-integer on this list: -5 , 0 , 2 , 7.5 , 20
2n+1

Skill 143
If any even integer is represented as 2n, what would any odd integer be?
n+1

Skill 144
If 2 consecutive integers are n and n+1, what is the next consecutive integer?
7% or .2/2.8

Skill 145
Old price for gas = $2.00 , New = $3 What is % of change?
bh

Skill 146
Area of Rectangle:
(1/2)bh

Skill 147
Area of Triangle:
h((bsub1+bsub2)/2)

Skill 148
Area of Trapezoid:
π(r²)

Skill 149
Area of Circle:
bh

Skill 150
Area formula for a parallelogram:
a²+b²=c²

Skill 151
Pythagorean Theorem:
? = 3

Skill 152
Find ? =
d = √(x₂- x₁)²+(y₂- y₁)²

Skill 153
State the Distance Formula
(average of the x values, average of the y values)

Skill 154
What is the Midpoint Formula
x

Skill 155
2x

Skill 156
1/2(x)(x+3)

Skill 157
π x²

Skill 158
64 - 4 = 60 cm²

Skill 159
10

Skill 160
70⁰

Skill 161
50⁰

Skill 162
No

Skill 163
Could these 3 sides make a triangle: 1 in, 2 in, 3 in?
8

Skill 164
If the circumference of a circle is 8π , what is its diameter?
54 in²

Skill 165
A cube has a side length of 3 in. What is its surface area?
3/4 ∗ 1/3 = 3/12 = 1/4

Skill 166
Given a jar with 4 marbles, 3 red and 1 white, what is
P(R,W) given no replacement.
1/2 ∗ 1/6 = 1/12

Skill 167
Given a coin is flipped and a die is rolled What's P(H, 3) :
Permutation

Skill 168
In which does order matter, Permutation or Combination?
₇P₃

Skill 169
Set up a "?P?" for a race with 7 runners and 3 places.
₂₀C₃

Skill 170
Set up a "?C?" for a committee made up of 3 people chosen from 20.
₃C₁∗ ₄C₁

Skill 171
Set up a "?C?" ...If there are 3 types
of meats and 4 kinds of cheese, how many pizzas can be made which have one meat and one cheese?
(₄C₃∗ ₄C₂) / ₅₂C₅


Skill 172
Set up a "?C?" ...In a card game with a 52 card deck, what p( 3 kings and 2 queens) being dealt?
₄C₂∗ (.85)²(.15)²

Skill 173
Just set up the binomial for this: Jim has a 85% free throw average. In 4 shots what's the probability of missing exactly 2.
3

Skill 174
What is the degree of this?
y = -5x³ - 2x² - x + 7
5

Skill 175
What is the degree of this?
y = (x - 3)²(x + 1) ³
1

Skill 176
Linear polynomials have what degree?
2

Skill 177
Quadratic polynomials have what degree?
3

Skill 178
Cubic polynomials have what degree?
Down

Skill 179
List the right end behavior of graph for y = -5x² - x + 7
L: Down R: Up

Skill 180
What is the L and R end behavior of the graph of:
y = 2x³ - 2x² - x + 7
The two highpoints are local maxes and the low spot at about (3.8,-75) is a local minimum.

Skill 181
Approximate local mins and maxes
True

Skill 182
Extrema refers to all local minimums and maximums. T/F
No

Skill 183
Assuming this graph continues in the direction it's heading, does it have an absolute minimum?
Rise over Run

Skill 184
Define slope: _________ over _________
(0,1) or (1,3) or (2,5) etc.

Skill 185
Given y = 2x +1 find 3 points on line.
Slope = 2

Skill 186
A line parallel to y = 2x - 4 has slope of?
Slope of the perpendicular line is -1/2

Skill 187
A perpendicular line to y = 2x - 4 would have what slope?
y = -3x + 5

Skill 188
Given slope -3 and y intercept = 5 write the equation:
y - 2 = 2(x - 3) or
y = 2x - 4

Skill 189
Given point (3,2), Slope 2
Write the equation:
Point = (2,4), slope = 3

Skill 190
Given y - 4 = 3(x - 2)
Identify a point & slope.
4

Skill 191
Given point(3,2) point (4,6)
Find the slope:
X axis

Skill 192
Which axis is this?
y axis

Skill 193
Which axis is this?
y = 3

Skill 194
What is the equation of the orange line?
x = 2

Skill 195
What is the equation of the red line?
You'd start at the y intercept of -3, and then go up 2 and over one to get to the next point, etc.

Skill 196
Visualize the graph of y = 2x - 3, where would you start graphing it and how would the line slant...
y = -1/2x + 2

Skill 197
What is the equation for this graphed line.
domain is related to the x axis

Skill 198
Which axis is domain about, x or y?
Approximately x=0 and x= -3

Skill 199
Identify and label roots of the quadratic graphed.
3rd degree or higher

Skill 200
Identify minimum degree of the polynomial graphed here.
0

Skill 201
The y intercept is found where x = ___
Exponential

Skill 202
What kind of growth is this?