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202 terms

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

Skill 1

4√2

Skill 2

Skill 2

8.1

Skill 3

Skill 3

-42

Skill4

Skill4

-6 * 7

-14

Skill 5

Skill 5

-5 + -9

16

Skill 6

Skill 6

11

Skill 7

Skill 7

-(-11)

-7a+7

Skill 8

Skill 8

-7(a-1)

-x+1

Skill 9

Skill 9

-(x-1)

18

Skill 10

Skill 10

2+4(5-1)

(-2)²

Skill 11

Skill 11

23

Skill 12

Skill 12

long divide 207 / 9

1/4 = 25%

Skill 13

Skill 13

.20 = 20%

Skill 14

Skill 14

9 miles/hour

Skill 15

Skill 15

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

.024

Skill 16

Skill 16

.8 X .03

<

Skill 17

Skill 17

.0025

Skill 18

Skill 18

n = -8

Skill 19

Skill 19

3

Skill 20

Skill 20

-5

Skill 20

Skill 20

6i

Skill 22

Skill 22

|x|

Skill 23

Skill 23

12√7

Skill 24

Skill 24

1

Skill 25

Skill 25

a^(x+y)

Skill 26

Skill 26

a^(x-y)

Skill 27

Skill 27

a^(xy)

Skill 28

Skill 28

x²+6x+9

Skill 29

Skill 29

9a^(2x)

Skill 30

Skill 30

a^(1/2)

Skill 31

Skill 31

a^(1/n)

Skill 32

Skill 32

a^(m/n)

Skill 33

Skill 33

1/(a^x)

Skill 34

Skill 34

(a/b)^(1/n)

Skill 35

Skill 35

1/a

Skill 36

Skill 36

6

Skill 37

Skill 37

4

Skill 38

Skill 38

11/10 or 1 and 1/10

Skill 39

Skill 39

4/9

Skill 40

Skill 40

-(1/5)

Skill 41

Skill 41

4/5

Skill 42

Skill 42

7/5

Skill 43

Skill 43

a/c+b/c

Skill 44

Skill 44

as two fractions added

3a/5

Skill 45

Skill 45

as one big fraction.

n

Skill 46

Skill 46

1 and 1/7

Skill 47

Skill 47

4/7

Skill 48

Skill 48

ab/c

Skill 49

Skill 49

ad/bc

Skill 50

Skill 50

ac/b

Skill 51

Skill 51

14/5 or 2 and 4/5

Skill 52

Skill 52

(x+3)(x+1)

Skill 53

Skill 53

Factor this:

(x-4)(x+2)

Skill 54

Skill 54

Factor this:

6(x+3)(x-1)

Skill 55

Skill 55

Factor this:

(x-5)(x+5)

Skill 56

Skill 56

Factor this:

(3x+1)(x+2)

Skill 57

Skill 57

Factor this:

a(b+c)

Skill 58

Skill 58

x²-4

Skill 59

Skill 59

Multipy this out (hint FOIL)

x²+5x+6

Skill 60

Skill 60

Multiply this out:

x²+8x+16

Skill 61

Skill 61

Multiply this out: (x+4)^2

(ab)² or a²b²

Skill 62

Skill 62

ab · ab

2pb

Skill 63

Skill 63

pb + pb

-6x+5

Skill 64

Skill 64

2x + 5 - 8x

a^4

Skill 65

Skill 65

rewrite aaaa using an exponent

a²b²

Skill 66

Skill 66

rewrite aabb using exponents

3m+3b

Skill 67

Skill 67

multiply this out: 3(m+b)

-2+x

Skill 68

Skill 68

multiply this out: -(2-x)

10a²

Skill 69

Skill 69

3a^2 + 7a^2

a

Skill 70

Skill 70

4a - 3a

-9a

Skill 71

Skill 71

-5a - 4a

10x

Skill 72

Skill 72

2(5x)

5

Skill 73

Skill 73

(10x^3)/(2x^3)

4y²/x² or 4x²y²

Skill 74

Skill 74

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

Skill 75

Skill 75

a = 9/2 or 4 and 1/2

Skill 76

Skill 76

2a=9

a = -2

Skill 77

Skill 77

-a=2

n = 9

Skill 78

Skill 78

n = 1/7

Skill 79

Skill 79

2n+1=9n

no solution

Skill 80

Skill 80

n+1=n+8

n = -4

Skill 81

Skill 81

x ≥ -2

Skill 82

Skill 82

x = ±6

Skill 83

Skill 83

x = 2 or -4/3

Skill 84

Skill 84

x = 4 , -5

Skill 85

Skill 85

x = 2 , y = -3

Skill 86

Skill 86

x = 1 , y = 1

Skill 87

Skill 87

(-3±√17)/2

Skill 88

Skill 88

x = 9/4 or 2 and 1/4

Skill 89

Skill 89

show all steps:

100 , 121 , 144 , 169 , 196 , 225

Skill 90

Skill 90

8 , 27 , 64 , 125

Skill 91

Skill 91

5,280 feet

Skill 92

Skill 92

number of feet in 1 mile =

time

Skill 93

Skill 93

distance = rate * ?

16

Skill 94

Skill 94

___ ounces = 1 pound

52

Skill 95

Skill 95

___ weeks in 1 year

1.06 or ≈ 1

Skill 96

Skill 96

1 liter = ___ quart(s)

2.54

Skill 97

Skill 97

1 inch = ___ centimeters

2 cups = 1lb

Skill 98

Skill 98

1 pint of water = ____

opposite / hypotenuse

Skill 99

Skill 99

define Sin

adjacent / hypotenuse

Skill 100

Skill 100

define Cos

opposite / adjacent

Skill 101

Skill 101

define Tan

4

Skill 102

Skill 102

Mean of 3,3,4,6

3.5

Skill 103

Skill 103

Median of 3,3,4,6

3

Skill 104

Skill 104

Mode of 3,3,4,6

3

Skill 105

Skill 105

Range of 3,3,4,6

20

Skill 106

Skill 106

Outlier in 3,4,4,20

median , mean

Skill 107

Skill 107

If outliers exist use ___ not ____.

median = 5.5 , max = 7

Skill 108

Skill 108

This box and whisker has what median? max?

47

Skill 109

Skill 109

This stem and leaf has what maximum?

13

Skill 110

Skill 110

Evaluate f(x)=7x-1 at x=2

Vertical Line Test

Skill 111

Skill 111

Which test will tell you if a graph is a function?

No

Skill 112

Skill 112

(2,3) , (2,4) , (3,6) , (4,9) is this relation a function?

(straight line through 1st and 3rd quadrant)

Skill 113

Skill 113

sketch y = x

(parabola from origin upward)

Skill 114

Skill 114

sketch y = x²

(v-shape from origin upward)

Skill 115

Skill 115

sketch y = |x|

(sideways half parabola in 1st quadrant from origin)

Skill 116

Skill 116

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

Skill 117

Skill 117

sketch y = x^3

(curve increasing slope from 2nd quadrant to 1st quadrant crossing y axis at (0,1))

Skill 118

Skill 118

sketch y = 2^x

Reflection of x-axis, translated down 3, left 2

Skill 119

Skill 119

When looking at y = -(x+2)²-3 list transformations:

(-∞, 0),(0, ∞)

Skill 120

Skill 120

If f(x) = 1/x , what is domain f(x)?

3 , -1

Skill 121

Skill 121

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

True

Skill 122

Skill 122

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

π

Skill 123

Skill 123

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

60

Skill 124

Skill 124

A recursive sequence is as follows:

= 8 , Two solutions

Skill 125

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

Skill 126

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

-4

Skill 127

Skill 127

Inverse of 4 =

1/4

Skill 128

Skill 128

Reciprocal of 4 =

Add

Skill 129

Skill 129

Sum means:

Subtract

Skill 130

Skill 130

Difference means:

Multiply

Skill 131

Skill 131

Product means:

Divide

Skill 132

Skill 132

Quotient means:

1 , 2 , 3 , 6

Skill 133

Skill 133

Factors of 6:

2x-y = 5

Skill 134

Skill 134

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

y = 2x-7

Skill 135

Skill 135

Rewrite this equation in slope intercept form:

2x-y = 7

2x-y = 7

Point Slope Form

Skill 136

Skill 136

What form is this equation in?

(y-2) = 4(x-5)

(y-2) = 4(x-5)

10% growth

Skill 137

Skill 137

What is the rate of growth or decay in this exponential equation?

y = 4(1.1)^x

y = 4(1.1)^x

Quadratic Formula

Skill 138

Skill 138

... Is what formula?

Fraction

Skill 139

Skill 139

Rational numbers can be written as a ___________.

√2 or π

Skill 140

Skill 140

Give an example of an irrational #:

2 , 3 , 5 , 7

Skill 141

Skill 141

List the first 4 prime numbers:

cross out 7.5

Skill 142

Skill 142

Cross out the non-integer on this list: -5 , 0 , 2 , 7.5 , 20

2n+1

Skill 143

Skill 143

If any even integer is represented as 2n, what would any odd integer be?

n+1

Skill 144

Skill 144

If 2 consecutive integers are n and n+1, what is the next consecutive integer?

7% or .2/2.8

Skill 145

Skill 145

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

bh

Skill 146

Skill 146

Area of Rectangle:

(1/2)bh

Skill 147

Skill 147

Area of Triangle:

h((bsub1+bsub2)/2)

Skill 148

Skill 148

Area of Trapezoid:

π(r²)

Skill 149

Skill 149

Area of Circle:

bh

Skill 150

Skill 150

Area formula for a parallelogram:

a²+b²=c²

Skill 151

Skill 151

Pythagorean Theorem:

? = 3

Skill 152

Skill 152

Find ? =

d = √(x₂- x₁)²+(y₂- y₁)²

Skill 153

Skill 153

State the Distance Formula

(average of the x values, average of the y values)

Skill 154

Skill 154

What is the Midpoint Formula

x

Skill 155

Skill 155

2x

Skill 156

Skill 156

1/2(x)(x+3)

Skill 157

Skill 157

π x²

Skill 158

Skill 158

64 - 4 = 60 cm²

Skill 159

Skill 159

10

Skill 160

Skill 160

70⁰

Skill 161

Skill 161

50⁰

Skill 162

Skill 162

No

Skill 163

Skill 163

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

8

Skill 164

Skill 164

If the circumference of a circle is 8π , what is its diameter?

54 in²

Skill 165

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

Skill 166

Given a jar with 4 marbles, 3 red and 1 white, what is

P(R,W) given no replacement.

P(R,W) given no replacement.

1/2 ∗ 1/6 = 1/12

Skill 167

Skill 167

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

Permutation

Skill 168

Skill 168

In which does order matter, Permutation or Combination?

₇P₃

Skill 169

Skill 169

Set up a "?P?" for a race with 7 runners and 3 places.

₂₀C₃

Skill 170

Skill 170

Set up a "?C?" for a committee made up of 3 people chosen from 20.

₃C₁∗ ₄C₁

Skill 171

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?

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

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

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

Skill 174

What is the degree of this?

y = -5x³ - 2x² - x + 7

y = -5x³ - 2x² - x + 7

5

Skill 175

Skill 175

What is the degree of this?

y = (x - 3)²(x + 1) ³

y = (x - 3)²(x + 1) ³

1

Skill 176

Skill 176

Linear polynomials have what degree?

2

Skill 177

Skill 177

Quadratic polynomials have what degree?

3

Skill 178

Skill 178

Cubic polynomials have what degree?

Down

Skill 179

Skill 179

List the right end behavior of graph for y = -5x² - x + 7

L: Down R: Up

Skill 180

Skill 180

What is the L and R end behavior of the graph of:

y = 2x³ - 2x² - x + 7

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

Skill 181

Approximate local mins and maxes

True

Skill 182

Skill 182

Extrema refers to all local minimums and maximums. T/F

No

Skill 183

Skill 183

Assuming this graph continues in the direction it's heading, does it have an absolute minimum?

Rise over Run

Skill 184

Skill 184

Define slope: _________ over _________

(0,1) or (1,3) or (2,5) etc.

Skill 185

Skill 185

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

Slope = 2

Skill 186

Skill 186

A line parallel to y = 2x - 4 has slope of?

Slope of the perpendicular line is -1/2

Skill 187

Skill 187

A perpendicular line to y = 2x - 4 would have what slope?

y = -3x + 5

Skill 188

Skill 188

Given slope -3 and y intercept = 5 write the equation:

y - 2 = 2(x - 3) or

y = 2x - 4

Skill 189

y = 2x - 4

Skill 189

Given point (3,2), Slope 2

Write the equation:

Write the equation:

Point = (2,4), slope = 3

Skill 190

Skill 190

Given y - 4 = 3(x - 2)

Identify a point & slope.

Identify a point & slope.

4

Skill 191

Skill 191

Given point(3,2) point (4,6)

Find the slope:

Find the slope:

X axis

Skill 192

Skill 192

Which axis is this?

y axis

Skill 193

Skill 193

Which axis is this?

y = 3

Skill 194

Skill 194

What is the equation of the orange line?

x = 2

Skill 195

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

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

Skill 197

What is the equation for this graphed line.

domain is related to the x axis

Skill 198

Skill 198

Which axis is domain about, x or y?

Approximately x=0 and x= -3

Skill 199

Skill 199

Identify and label roots of the quadratic graphed.

3rd degree or higher

Skill 200

Skill 200

Identify minimum degree of the polynomial graphed here.

0

Skill 201

Skill 201

The y intercept is found where x = ___

Exponential

Skill 202

Skill 202

What kind of growth is this?