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.

5
Skill 1

4√2
Skill 2

8.1
Skill 3

16
Skill 6

(-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.

<
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

•
-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

•
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

n = 9
Skill 78
•
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 =

•
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:

•
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?

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