# Khan/khan-exercises

Clean up the exercise files using the new cleaning utility. (II)

1 parent 24e8a35 commit 0f0c6307686be8781cdf452a1bcfdde03da79adb cbhl committed Apr 16, 2013
Showing with 2,242 additions and 2,242 deletions.
1. +2 −2 exercises/absolute_value.html
2. +8 −8 exercises/absolute_value_equations.html
3. +3 −3 exercises/absolute_value_of_complex_numbers.html
25. +9 −9 exercises/age_word_problems.html
26. +9 −9 exercises/age_word_problems_alternative.html
27. +4 −4 exercises/alternate_exterior_angles.html
28. +1 −1 exercises/alternate_exterior_angles_2.html
29. +4 −4 exercises/alternate_interior_angles.html
30. +1 −1 exercises/alternate_interior_angles_2.html
32. +6 −6 exercises/angle_bisector_theorem.html
33. +10 −10 exercises/angle_types.html
34. +35 −35 exercises/angles_1.html
35. +18 −18 exercises/angles_2.html
36. +9 −9 exercises/angles_of_a_polygon.html
37. +18 −18 exercises/area_1.html
38. +13 −13 exercises/area_of_a_circle.html
39. +6 −6 exercises/area_of_parallelograms.html
40. +13 −13 exercises/area_of_squares_and_rectangles.html
41. +17 −17 exercises/area_of_triangles_1.html
42. +10 −10 exercises/areas_of_circles_and_sectors.html
43. +8 −8 exercises/areas_of_trapezoids_rhombi_and_kites.html
44. +2 −2 exercises/arithmetic_sequences_1.html
45. +4 −4 exercises/arithmetic_sequences_2.html
46. +7 −7 exercises/arithmetic_series.html
47. +8 −8 exercises/arithmetic_word_problems.html
48. +26 −26 exercises/arithmetic_word_problems_1.html
49. +16 −16 exercises/arithmetic_word_problems_2.html
50. +4 −4 exercises/average_word_problems.html
51. +4 −4 exercises/axis_of_symmetry.html
52. +99 −99 exercises/balancing_chemical_equations.html
53. +4 −4 exercises/basic_set_notation.html
54. +5 −5 exercises/binomial_expansion.html
55. +3 −3 exercises/chain_rule_1.html
56. +9 −9 exercises/circles_and_arcs.html
57. +8 −8 exercises/coin_flip_sequences.html
58. +4 −4 exercises/combinations_1.html
59. +11 −11 exercises/combining_like_terms_1.html
60. +11 −11 exercises/combining_like_terms_2.html
61. +4 −4 exercises/comparing_absolute_values.html
62. +9 −9 exercises/comparing_fractions_1.html
63. +4 −4 exercises/comparing_fractions_2.html
64. +5 −5 exercises/comparing_improper_fractions_and_mixed_numbers.html
65. +1 −1 exercises/complementary_and_supplementary_angles.html
66. +2 −2 exercises/complementary_angles.html
67. +6 −6 exercises/completing_the_square_1.html
68. +7 −7 exercises/completing_the_square_2.html
69. +6 −6 exercises/complex_number_polar_form_intuition.html
70. +5 −5 exercises/complex_plane_operations.html
71. +2 −2 exercises/composite_numbers.html
72. +2 −2 exercises/compound_inequalities.html
73. +2 −2 exercises/conditional_statements_2.html
74. +3 −3 exercises/conditional_statements_and_truth_value.html
75. +9 −9 exercises/congruency_postulates.html
76. +6 −6 exercises/congruent_angles.html
77. +2 −2 exercises/congruent_segments.html
78. +7 −7 exercises/congruent_triangles_1.html
79. +3 −3 exercises/congruent_triangles_2.html
80. +44 −44 exercises/constructions_1.html
81. +7 −7 exercises/converse_inverse_and_contrapositive.html
82. +4 −4 exercises/converting_between_point_slope_and_slope_intercept.html
83. +7 −7 exercises/converting_between_point_slope_and_standard_form.html
84. +6 −6 exercises/converting_between_slope_intercept_and_standard_form.html
85. +3 −3 exercises/converting_decimals_to_fractions_1.html
86. +2 −2 exercises/converting_decimals_to_fractions_2.html
87. +1 −1 exercises/converting_decimals_to_percents.html
88. +4 −4 exercises/converting_fractions_to_decimals.html
89. +3 −3 exercises/converting_mixed_numbers_and_improper_fractions.html
90. +1 −1 exercises/converting_percents_to_decimals.html
91. +2 −2 exercises/converting_repeating_decimals_to_fractions_1.html
92. +8 −8 exercises/converting_repeating_decimals_to_fractions_2.html
93. +5 −5 exercises/converting_temperatures.html
94. +3 −3 exercises/corresponding_angles.html
95. +1 −1 exercises/corresponding_angles_2.html
96. +7 −7 exercises/counting_1.html
97. +11 −11 exercises/counting_1_alternative.html
98. +4 −4 exercises/counting_2.html
99. +3 −3 exercises/creating_bar_charts_1.html
100. +10 −10 exercises/creating_box_and_whisker_plots.html
101. +5 −5 exercises/cube_roots.html
102. +4 −4 exercises/decimals_on_the_number_line_1.html
103. +5 −5 exercises/decimals_on_the_number_line_2.html
104. +9 −9 exercises/defined_and_undefined_matrix_operations.html
106. +5 −5 exercises/dependent_probability.html
107. +9 −9 exercises/derivative_intuition.html
108. +4 −4 exercises/derivatives_1.html
109. +28 −28 exercises/dice_probability.html
110. +5 −5 exercises/direct_and_inverse_variation.html
111. +6 −6 exercises/discount_tax_and_tip_word_problems.html
112. +16 −16 exercises/distance_between_point_and_line.html
113. +7 −7 exercises/distance_formula.html
114. +3 −3 exercises/distributive_property.html
115. +5 −5 exercises/dividing_complex_numbers.html
116. +4 −4 exercises/dividing_decimals.html
117. +6 −6 exercises/dividing_decimals_0.5.html
118. +5 −5 exercises/dividing_decimals_1.html
119. +5 −5 exercises/dividing_decimals_2.html
120. +3 −3 exercises/dividing_fractions.html
121. +3 −3 exercises/dividing_fractions_0.5.html
122. +3 −3 exercises/dividing_fractions_alternative.html
123. +7 −7 exercises/dividing_fractions_word_problems.html
124. +9 −9 exercises/dividing_polynomials_by_binomials_1.html
125. +4 −4 exercises/dividing_polynomials_by_binomials_2.html
126. +10 −10 exercises/dividing_polynomials_by_binomials_3.html
127. +3 −3 exercises/divisibility.html
128. +3 −3 exercises/divisibility_0.5.html
129. +11 −11 exercises/divisibility_intuition.html
130. +27 −27 exercises/divisibility_tests.html
131. +5 −5 exercises/division_0.5.html
132. +3 −3 exercises/division_1.5.html
133. +5 −5 exercises/division_1.html
134. +3 −3 exercises/division_2.html
135. +5 −5 exercises/division_3.html
136. +3 −3 exercises/division_4.html
137. +7 −7 exercises/domain_and_range_0.5.html
138. +22 −22 exercises/domain_of_a_function.html
139. +31 −31 exercises/empirical_rule.html
140. +4 −4 exercises/equation_of_a_circle_1.html
141. +4 −4 exercises/equation_of_a_circle_2.html
142. +5 −5 exercises/equation_of_a_hyperbola.html
143. +5 −5 exercises/equation_of_a_line.html
144. +6 −6 exercises/equation_of_an_ellipse.html
145. +5 −5 exercises/equivalent_fractions.html
146. +5 −5 exercises/equivalent_fractions_2.html
147. +5 −5 exercises/estimation_with_decimals.html
148. +1 −1 exercises/evaluating_expressions_1.html
149. +2 −2 exercises/evaluating_expressions_2.html
150. +8 −8 exercises/even_and_odd_functions.html
151. +8 −8 exercises/expected_value.html
152. +19 −19 exercises/exploring_angle_pairs_1.html
153. +6 −6 exercises/exploring_mean_and_median.html
154. +3 −3 exercises/exploring_standard_deviation_1.html
155. +9 −9 exercises/exponent_rules.html
156. +2 −2 exercises/exponents_1.html
157. +1 −1 exercises/exponents_2.html
158. +3 −3 exercises/exponents_2_alternative.html
159. +1 −1 exercises/exponents_3.html
160. +2 −2 exercises/exponents_4.html
161. +2 −2 exercises/expressing_ratios_as_fractions.html
162. +1 −1 exercises/expressions_with_unknown_variables.html
163. +1 −1 exercises/expressions_with_unknown_variables_2.html
164. +7 −7 exercises/factor_expressions_by_grouping.html
165. +3 −3 exercises/factoring_difference_of_squares_1.html
166. +4 −4 exercises/factoring_difference_of_squares_2.html
167. +26 −26 exercises/factoring_difference_of_squares_3.html
168. +10 −10 exercises/factoring_linear_binomials.html
169. +4 −4 exercises/factoring_polynomials_1.html
170. +4 −4 exercises/factoring_polynomials_1_solution_only.html
171. +4 −4 exercises/factoring_polynomials_1_steps_only.html
172. +5 −5 exercises/factoring_polynomials_1_video_hint.html
173. +3 −3 exercises/factoring_polynomials_2.html
174. +13 −13 exercises/factoring_polynomials_by_grouping_1.html
175. +3 −3 exercises/factoring_polynomials_with_two_variables.html
176. +6 −6 exercises/fraction_word_problems_1.html
177. +8 −8 exercises/fractions_cut_and_copy_1.html
178. +15 −15 exercises/fractions_cut_and_copy_2.html
179. +4 −4 exercises/fractions_on_the_number_line_1.html
180. +7 −7 exercises/fractions_on_the_number_line_2.html
181. +7 −7 exercises/fractions_on_the_number_line_3.html
182. +5 −5 exercises/functions_1.html
183. +2 −2 exercises/functions_2.html
184. +3 −3 exercises/functions_3.html
185. +3 −3 exercises/geometric_sequences_1.html
186. +5 −5 exercises/geometric_sequences_2.html
187. +2 −2 exercises/geometry_proofs_1.html
188. +3 −3 exercises/geometry_proofs_2.html
189. +7 −7 exercises/geometry_proofs_intro.html
190. +4 −4 exercises/graphing_circles.html
191. +4 −4 exercises/graphing_circles_2.html
192. +12 −12 exercises/graphing_inequalities.html
193. +16 −16 exercises/graphing_inequalities_2.html
194. +20 −20 exercises/graphing_linear_equations.html
195. +7 −7 exercises/graphing_parabolas_0.5.html
196. +10 −10 exercises/graphing_parabolas_1.html
197. +11 −11 exercises/graphing_parabolas_2.html
198. +7 −7 exercises/graphing_points.html
199. +11 −11 exercises/graphing_points_2.html
200. +15 −15 exercises/graphing_systems_of_equations.html
201. +23 −23 exercises/graphing_systems_of_inequalities.html
202. +28 −28 exercises/graphing_systems_of_inequalities_2.html
203. +4 −4 exercises/graphs_of_inequalities.html
204. +8 −8 exercises/graphs_of_sine_and_cosine.html
205. +3 −3 exercises/greatest_common_divisor.html
206. +5 −5 exercises/greatest_common_divisor_alternative.html
207. +1 −1 exercises/herons_formula.html
208. +31 −31 exercises/ideal_stoichiometry.html
209. +4 −4 exercises/identifying_points_1.html
210. +5 −5 exercises/identifying_points_2.html
211. +4 −4 exercises/imaginary_unit_powers.html
212. +4 −4 exercises/independent_probability.html
213. +7 −7 exercises/inequalities_on_a_number_line.html
214. +11 −11 exercises/inscribed_angles_1.html
215. +14 −14 exercises/inscribed_angles_2.html
216. +14 −14 exercises/inscribed_angles_3.html
217. +2 −2 exercises/integer_sums.html
218. +6 −6 exercises/interesting_perimeter_problems.html
219. +12 −12 exercises/interpreting_linear_equations.html
220. +3 −3 exercises/inverse_trig_functions.html
221. +4 −4 exercises/inverses_of_functions.html
222. +27 −27 exercises/khan-exercise.html
223. +15 −15 exercises/khan-site.html
224. +16 −16 exercises/law_of_cosines.html
225. +17 −17 exercises/law_of_sines.html
226. +2 −2 exercises/least_common_multiple.html
227. +28 −28 exercises/least_common_multiple_and_greatest_common_divisor_word_problems.html
228. +3 −3 exercises/lhopitals_rule.html
229. +32 −32 exercises/limiting_reagent_stoichiometry.html
230. +11 −11 exercises/limits_1.html
231. +10 −10 exercises/limits_2.html
232. +12 −12 exercises/line_graph_intuition.html
233. +24 −24 exercises/line_relationships.html
234. +10 −10 exercises/linear_equation_word_problems.html
235. +5 −5 exercises/linear_equations_1.html
236. +2 −2 exercises/linear_equations_2.html
237. +4 −4 exercises/linear_equations_3.html
238. +5 −5 exercises/linear_equations_4.html
239. +5 −5 exercises/linear_inequalities.html
240. +3 −3 exercises/logarithms_1.5.html
241. +2 −2 exercises/logarithms_1.html
242. +4 −4 exercises/logarithms_2.html
243. +3 −3 exercises/logical_arguments_deductive_reasoning.html
244. +5 −5 exercises/markup_and_commission_word_problems.html
246. +2 −2 exercises/matrix_determinant_2x2.html
247. +3 −3 exercises/matrix_determinant_2x2_video_hint.html
248. +2 −2 exercises/matrix_determinant_3x3.html
249. +3 −3 exercises/matrix_determinant_3x3_video_hint.html
250. +5 −5 exercises/matrix_dimensions.html
251. +5 −5 exercises/matrix_inverse_2x2.html
252. +6 −6 exercises/matrix_inverse_3x3.html
253. +17 −17 exercises/matrix_transpose.html
254. +3 −3 exercises/mean_median_and_mode.html
255. +3 −3 exercises/measuring_angles.html
256. +2 −2 exercises/measuring_segments.html
257. +16 −16 exercises/midpoint_formula.html
258. +4 −4 exercises/midpoint_of_a_segment.html
259. +6 −6 exercises/multiplication_0.5.html
260. +2 −2 exercises/multiplication_1.5.html
261. +5 −5 exercises/multiplication_1.html
262. +2 −2 exercises/multiplication_2.html
263. +2 −2 exercises/multiplication_3.html
264. +3 −3 exercises/multiplication_4.html
265. +11 −11 exercises/multiplying_a_matrix_by_a_matrix.html
266. +8 −8 exercises/multiplying_a_matrix_by_a_vector.html
267. +12 −12 exercises/multiplying_and_dividing_complex_number_polar_forms.html
268. +2 −2 exercises/multiplying_and_dividing_negative_numbers.html
269. +6 −6 exercises/multiplying_and_dividing_scientific_notation.html
270. +3 −3 exercises/multiplying_complex_numbers.html
271. +4 −4 exercises/multiplying_decimals.html
272. +2 −2 exercises/multiplying_expressions_0.5.html
273. +2 −2 exercises/multiplying_expressions_1.html
274. +5 −5 exercises/multiplying_fractions.html
275. +5 −5 exercises/multiplying_fractions_0.5.html
276. +17 −17 exercises/multiplying_fractions_word_problems.html
277. +4 −4 exercises/multiplying_mixed_numbers_1.html
278. +3 −3 exercises/multiplying_polynomials.html
280. +25 −25 exercises/multistep_equations_with_distribution.html
281. +11 −11 exercises/negative_number_word_problems.html
282. +1 −1 exercises/new_definitions_1.html
283. +4 −4 exercises/new_definitions_2.html
284. +4 −4 exercises/number_line.html
285. +7 −7 exercises/number_line_2.html
286. +5 −5 exercises/number_line_3.html
287. +10 −10 exercises/number_properties_terminology_1.html
288. +13 −13 exercises/one_step_equation_intuition.html
289. +4 −4 exercises/one_step_equations.html
290. +3 −3 exercises/one_step_equations_0.5.html
291. +4 −4 exercises/one_step_inequalities.html
292. +14 −14 exercises/order_of_operations.html
293. +3 −3 exercises/ordering_fractions.html
294. +1 −1 exercises/ordering_improper_fractions_and_mixed_numbers.html
295. +3 −3 exercises/ordering_negative_numbers.html
296. +2 −2 exercises/ordering_numbers.html
297. +10 −10 exercises/parabola_intuition_1.html
298. +8 −8 exercises/parabola_intuition_2.html
299. +4 −4 exercises/parabola_intuition_3.html
300. +1 −1 exercises/parallel_lines_1.html
Sorry, we could not display the entire diff because too many files (444) changed.
4 exercises/absolute_value.html
 @@ -1,12 +1,12 @@ - + Finding absolute values
-
+
rand(5) > 0 ? randRange( 1, 9 ) : 0 rand(3) > 0 ? "." + randRange(1, 9) : "" randFromArray(["", "-"])
16 exercises/absolute_value_equations.html
 @@ -1,6 +1,6 @@ - + Absolute value equations @@ -11,10 +11,10 @@
randRange(2, 8) randRangeNonZero(-10, 10) - + randRangeNonZero(-6, 6) - randRange(2, 10) + randRange(2, 10) randRangeNonZero(-10, 10) (D - B) / (A - C) <= 0 @@ -42,9 +42,9 @@

-
-
-
+
+
+
SOLUTION

@@ -56,7 +56,7 @@

6 exercises/absolute_value_of_complex_numbers.html
 @@ -21,7 +21,7 @@

REPRESENTATION

-
+
ABS_SQUARE
@@ -54,7 +54,7 @@

-
+
path([ [0,0], [REAL, IMAG]], { stroke: KhanUtil.ORANGE }); @@ -64,7 +64,7 @@

-
+
path([ [0,0], [REAL, 0], [REAL, IMAG]], { stroke: KhanUtil.BLUE });
 @@ -6,7 +6,7 @@
-
+
randRange( -5, 5 ) randRange( -5, 5 ) randRange( -5, 5 ) @@ -53,12 +53,12 @@ (A_REP_COLORED) OPERATOR (B_REP_COLORED)

-
- +
 @@ -1,6 +1,6 @@ - + Adding and subtracting decimals word problems @@ -18,7 +18,7 @@ truncate_to_max(fruit_1_integer*pow(10,-fruit_1_decimal), 2) randRange(3,9)*100 randRange(1,9)*10 - randRange(1,9)*1 + randRange(1,9)*1 D+E+F (2) truncate_to_max(fruit_2_integer*pow(10,-fruit_2_decimal), 2) @@ -32,7 +32,7 @@

How much did person(1) need to pay for his(1) produce?

-
fruit_1+fruit_2
+
fruit_1+fruit_2

To find the total amount person(1) needs to pay, we need to add the price of the plural(fruit(1)) and the price of the plural(fruit(2)).

-
+
@@ -57,7 +57,7 @@ randRange(2000,9999) (2) truncate_to_max(time_1_integer*pow(10,-time_1_decimal), 2) - randRange(2000,9999) + randRange(2000,9999) (2) truncate_to_max(time_2_integer*pow(10,-time_2_decimal), 2) randRange(100,999) @@ -72,8 +72,8 @@

{After time_3 minutes, person(3) agreed to time the runners.|} person(1) sprinted first and ran meters meters in time_1 seconds. When it was person(2)'s turn, he(2) sped off and completed the run in time_2 seconds.

How much faster was person(2) than person(1) in seconds?

-
-

time_1-time_2 seconds

+
+

time_1-time_2 seconds

To find how much faster person(2) was than person(1), we need to find the difference between their times in seconds. @@ -83,7 +83,7 @@ graph.subtractor.show(); graph.subtractor.showDecimals();

-
+
graph.subtractor.showHint();

person(2) was solution seconds faster than person(1).

@@ -117,8 +117,8 @@
-
-

weight_1+weight_2 pounds

+
+

weight_1+weight_2 pounds

-
+
-
+

Together, the babies weigh solution pounds.

@@ -164,7 +164,7 @@

{On Tuesday,|Last Thursday,|} person(1) walked to an(store(1)) store {timeofday(1)|} and{, after browsing for time_1 minutes,|} decided to buy a storeItem(1,1) for $price_1. person(1) handed the salesperson$amount_paid for his(1) purchase.

How much change did person(1) receive?

-
amount_paid-price_1
+
amount_paid-price_1

To find out how much change person(1) received, we can subtract the price of the storeItem(1,1) from the amount of money he(1) paid. @@ -174,7 +174,7 @@ graph.subtractor.show(); graph.subtractor.showDecimals();

-
+
graph.subtractor.showHint();

@@ -200,8 +200,8 @@

How much more rain fell in person(2)'s town than in person(1)'s town?

-
-

rain_2-rain_1 inches

+
+

rain_2-rain_1 inches

To find the difference in rainfall, we can subtract the amount of rain in person(1)'s town from the amount of rain in person(2)'s town. @@ -211,7 +211,7 @@ graph.subtractor.show(); graph.subtractor.showDecimals();

-
+
graph.subtractor.showHint();

person(2)'s town received solution inches more rain than person(1)'s town.

@@ -237,8 +237,8 @@

How many plural(distance(1)) is person(1)'s journey in total?

-
-

distance_1+distance_2 plural(distance(1))

+
+

distance_1+distance_2 plural(distance(1))

To find the total distance person(1) travels, we need to add the two distances together. @@ -248,11 +248,11 @@ graph.adder.show(); graph.adder.showDecimals();

-
+
-
+

person(1) travels solution plural(distance(1)) in total.

 @@ -1,12 +1,12 @@ - + Adding and subtracting fractions
-
+
randRangeNonZero( -9, 9 ) randRangeNonZero( -9, 9 ) randRangeExclude( 2, 9, [ N1, -N1 ] ) @@ -21,7 +21,7 @@

fraction( N1, D1 ) + fraction( N2, D2 ) = {?}

-
N1 / D1 + N2 / D2
+
N1 / D1 + N2 / D2
 @@ -1,6 +1,6 @@ - + Adding and subtracting negative numbers @@ -31,29 +31,29 @@ "right" ); -
+
-
+
REMOVE = label( [0, -1], "\\Huge{\\color{#6495ED}{" + A + "} \\color{#28AE7B}{" + B + "} = {?}}", "right" );
-
+
numberLine( START, END, 1, 1, -2 ); circle( [ 1 + A - START, -2 ], 5/40, { stroke: "none", fill: "#6495ed" } );
-
+
style({ stroke: "#28AE7B", arrows: "->" }, function(){ path( [ [ 1 + A - START, -2 ], [ 1 + ANSWER - START, -2] ] ); });
-
+
circle( [ 1 + ANSWER - START, -2 ], 5/40, { stroke: "none", fill: "#FF00AF" } );
-
+
REMOVE.remove(); label( [0, -1], "\\Huge{\\color{#6495ED}{" + A + "} \\color{#28AE7B}{" + B + "} = " @@ -81,29 +81,29 @@ "right" );
-
+
-
+
REMOVE = label( [0, -1], "\\Huge{\\color{#6495ED}{" + A + "} \\color{#28AE7B}{ +" + abs( B ) + "} = {?}}", "right" );
-
+
numberLine( START, END, 1, 1, -2 ); circle( [ 1 + A - START, -2 ], 5/40, { stroke: "none", fill: "#6495ed" } );
-
+
style({ stroke: "#28AE7B", arrows: "->" }, function(){ path( [ [ 1 + A - START, -2 ], [ 1 + ANSWER - START, -2] ] ); });
-
+
circle( [ 1 + ANSWER - START, -2 ], 5/40, { stroke: "none", fill: "#FF00AF" } );
-
+
REMOVE.remove(); label( [0, -1], "\\Huge{\\color{#6495ED}{" + A + "} \\color{#28AE7B}{ +" + abs( B ) + "} = "
 @@ -1,6 +1,6 @@ - + Adding and subtracting polynomials
 @@ -1,6 +1,6 @@ - + Adding and subtracting radicals @@ -18,7 +18,7 @@

Simplify the following expression:

\sqrt{A} + \sqrt{B}

-
pow( A_COEFF + B_COEFF, 2 ) * NUM
+
pow( A_COEFF + B_COEFF, 2 ) * NUM

First, try to factor any perfect squares out of the radicals.

@@ -43,7 +43,7 @@

Simplify the following expression:

\sqrt{A} - \sqrt{B}

-
pow( A_COEFF - B_COEFF, 2 ) * NUM
+
pow( A_COEFF - B_COEFF, 2 ) * NUM

First, try to factor any perfect squares out of the radicals.

@@ -88,7 +88,7 @@

Simplify the following expression:

\sqrt{A}B_SIGN\sqrt{B}C_SIGN\sqrt{C}

-
pow( A_COEFF + B_COEFF + C_COEFF, 2 ) * NUM
+
pow( A_COEFF + B_COEFF + C_COEFF, 2 ) * NUM

First, try to factor any perfect squares out of the radicals.

 @@ -1,6 +1,6 @@ - + Adding and subtracting with like denominators
 @@ -1,6 +1,6 @@ - + Adding and subtracting with like denominators 2
 @@ -1,6 +1,6 @@ - + Adding decimals @@ -37,19 +37,19 @@

\Huge{roundTo( A_DECIMAL, A * pow( 10, -A_DECIMAL ) ).toFixed( A_DECIMAL ) + roundTo( B_DECIMAL, B * pow( 10, -B_DECIMAL ) ).toFixed( B_DECIMAL ) = {?}}

-

A / pow( 10, A_DECIMAL ) + B / pow( 10, B_DECIMAL )

+

A / pow( 10, A_DECIMAL ) + B / pow( 10, B_DECIMAL )

-
+
-
+
 @@ -1,6 +1,6 @@ - + Adding decimals 0.5 @@ -35,19 +35,19 @@

\Huge{roundTo( A_DECIMAL, A * pow( 10, -A_DECIMAL ) ).toFixed( A_DECIMAL ) + roundTo( B_DECIMAL, B * pow( 10, -B_DECIMAL ) ).toFixed( B_DECIMAL ) = {?}}

-

A / pow( 10, A_DECIMAL ) + B / pow( 10, B_DECIMAL )

+

A / pow( 10, A_DECIMAL ) + B / pow( 10, B_DECIMAL )

-
+
-
+
 @@ -1,6 +1,6 @@ - + Adding decimals 2 @@ -10,7 +10,7 @@ randRange( 100, 999 ) randRange( 100, 999 ) randRange( 1, 3 ) - randRange( 1, 3 ) + randRange( 1, 3 ) A * ( B_DECIMAL > A_DECIMAL ? pow( 10, B_DECIMAL - A_DECIMAL ) : 1) B * ( A_DECIMAL > B_DECIMAL ? pow( 10, A_DECIMAL - B_DECIMAL ) : 1) @@ -35,19 +35,19 @@

\Huge{roundTo( A_DECIMAL, A * pow( 10, -A_DECIMAL ) ).toFixed( A_DECIMAL ) + roundTo( B_DECIMAL, B * pow( 10, -B_DECIMAL ) ).toFixed( B_DECIMAL ) = {?}}

-
A / pow( 10, A_DECIMAL ) + B / pow( 10, B_DECIMAL )
+
A / pow( 10, A_DECIMAL ) + B / pow( 10, B_DECIMAL )
-
+
-
+
 @@ -1,12 +1,12 @@ - + Adding fractions
-
+
randRange( 1, 9 ) randRange( N1 + 1, 13 ) getGCD( N1, D1 ) @@ -25,10 +25,10 @@

fraction( N1, D1 ) + fraction( N2, D2 ) = {?}

-

N1 / D1 + N2 / D2

+

N1 / D1 + N2 / D2

-
+
1 2
 @@ -1,6 +1,6 @@ - + Adding fractions with common denominators @@ -17,10 +17,10 @@

fraction( N1, D ) + fraction( N2, D ) = {?}

-
( N1 + N2 ) / D
+
( N1 + N2 ) / D
-
+
1 1 @@ -31,11 +31,11 @@
-
+
init({ range: [ [-3, 3], [-3, 3] ], scale: 25 }); piechart( [ N1, D - N1 ], ["#e00", "#999"], 2 );
-
+
init({ range: [ [-3, 3], [-3, 3] ], scale: 25 }); piechart( [ N2, D - N2 ], ["#e00", "#999"], 2 );
 @@ -1,6 +1,6 @@ - + Adding negative numbers @@ -31,29 +31,29 @@ "right" ); -
+
-
+
REMOVE = label( [0, -2], "\\Huge{\\color{#6495ED}{" + A + "} \\color{#28AE7B}{" + B + "} = {?}}", "right" );
-
+
numberLine( START, END, 1, 1, -3 ); circle( [ 1 + A - START, -3 ], 5/40, { stroke: "none", fill: "#6495ed" } );
-
+
style({ stroke: "#28AE7B", arrows: "->" }, function(){ path( [ [ 1 + A - START, -3 ], [ 1 + ANSWER - START, -3] ] ); });
-
+
circle( [ 1 + ANSWER - START, -3 ], 5/40, { stroke: "none", fill: "#FF00AF" } );
-
+
REMOVE.remove(); label( [0, -2], "\\Huge{\\color{#6495ED}{" + A + "} \\color{#28AE7B}{" + B + "} = "
 @@ -38,7 +38,7 @@

expr(["+", W1 + fraction( N1, D1 ), W2 + fraction( N2, D2 )]) = {?}

-
W1 + W2 + N1 / D1 + PM * N2 / D2
+
W1 + W2 + N1 / D1 + PM * N2 / D2
@@ -94,7 +94,7 @@

expr(["+", W1 + 1, W2 + fraction( N2, D2 )]) = {?}

-
W1 + 1 + W2 + PM * N2 / D2
+
W1 + 1 + W2 + PM * N2 / D2

Convert W1+1 into=\blue{W1} + \blue{fraction( N1, D1)} before subtracting. So the problem becomes:

 @@ -38,7 +38,7 @@

expr(["+", W1 + fraction( N1, D1 ), W2 + fraction( N2, D2 )]) = {?}

-
W1 + W2 + N1 / D1 + PM * N2 / D2
+
W1 + W2 + N1 / D1 + PM * N2 / D2
@@ -108,7 +108,7 @@

expr(["+", W1 + 1 + fraction( N1, D1 ), W2 + fraction( N2, D2 )]) = {?}

-
W1 + 1 + W2 + N1 / D1 + PM * N2 / D2
+
W1 + 1 + W2 + N1 / D1 + PM * N2 / D2

Simplify each fraction.

 @@ -1,12 +1,12 @@ - + Adding vectors
-
+
randRangeNonZero( -9, 9 ) randRangeNonZero( -9, 9 ) @@ -23,7 +23,7 @@ \vec b &= BX \hat\imath + BY \hat\jmath \end{align*}

-
+
graphInit({ range: 10, scale: 20, @@ -44,8 +44,8 @@ label( [BF * BX, BF * BY], "\\vec b", { color: "#28ae7b" } );
-
-

AX + BX \hat\imath + {}AY + BY \hat\jmath

+
+

AX + BX \hat\imath + {}AY + BY \hat\jmath

@@ -54,13 +54,13 @@

Sum the \hat\imath and \hat\jmath components separately.

\hat a + \hat b = (AX + BX) \hat\imath + (AY + BY) \hat\jmath

-
+
line( [BX, BY], [BX + AX, BY + AY], { stroke: "#6495ed", arrows: "->" } );

\hphantom{\hat a + \hat b} = AX + BX\hat\imath + AY + BY\hat\jmath

-
+
line( [0, 0], [BX + AX, BY + AY], { stroke: "#ffa500", arrows: "->" } );
 @@ -1,6 +1,6 @@ - + 1-digit addition @@ -24,12 +24,12 @@ "right" ); -
A + B
+
A + B
-
+
drawCircles( A, "#6495ED" );
-
+
drawCircles( B, "#28AE7B" );

There are plural( A, "blue dot" ) and plural( B, "green dot" ), for a total of A + B dots.

 @@ -1,6 +1,6 @@ - + 2-digit addition @@ -9,8 +9,8 @@
randRange( 1, 8 )*10 randRange ( 0, 9 )*1 - randRange( 1, 8 )*10 - randRange ( 0, 9 )*1 + randRange( 1, 8 )*10 + randRange ( 0, 9 )*1 A_10+A_1 B_10+B_1 @@ -24,11 +24,11 @@ graph.adder.show(); DUMMY = Array( graph.adder.getNumHints() );
-
A + B
+
A + B
-
+
 @@ -1,6 +1,6 @@ - + Addition with carrying @@ -10,9 +10,9 @@ randRange( 1, 8 )*100 randRange( 0, 7 )*10 randRange ( 1, 9 )*1 - randRange( 1, 8 )*100 - randRange( 0, 7 )*10 - randRange ( 1, 9 )*1 + randRange( 1, 8 )*100 + randRange( 0, 7 )*10 + randRange ( 1, 9 )*1 A_100+A_10+A_1 B_100+B_10+B_1 [] @@ -25,11 +25,11 @@ graph.adder.show(); DUMMY = Array( graph.adder.getNumHints() ); -
A + B
+
A + B
-
+
 @@ -1,20 +1,20 @@ - + 4-digit addition with carrying
-
+ (A_100 + B_100 > 1000 && B >= 1000))"> randRangeWeighted(0, 9, 0, 0.25) * 1000 randRange(0, 9) * 100 randRange(0, 9) * 10 randRange(0, 9) * 1 - + randRangeWeighted(0, 9, 0, 0.25) * 1000 randRange(0, 9) * 100 @@ -32,12 +32,12 @@ graph.adder.show(); NUM_HINTS = graph.adder.getNumHints();
-
A + B
+
A + B
-
+